answer to 2x - 5 = 7 ??
Answers
Answer:
6
Step-by-step explanation:
2x - 5 =7
2x =7 +5
2x=12
x=12 :2
x=6
Related Questions
Which phrase should be inserted on the line to make a true statement? Use the models to help.
Answers
Answer:
2/3 = 8/12
Step-by-step explanation:
2/3 vs 8/12
Multiply the left by 4/4 to get common denominators
2/3 *4/4 = 8/12
They are equal
Answer:
is equal to or awnser D
Step-by-step explanation:If you divide the you get the same awnser
to bake a cake , raffy needs 3 cups of sugar for 5 cups of flour. if he uses 35 cups of flour, how much sugar doe he need and how many cakes will he bake
Answers
Answer: 21 cups of sugar, 7 cakes
Solve the following proportion:
3/5=x/35
Cross multiply:
5x=35(3)
5x=105
x=21 cups of sugar
3 cups of sugar= 1 cake
21 cups of sugar= x cakes
Cross multiply:
3x=21
21/3
7 cakes
Of the 30 students in the class,
2
3
are wearing jackets. How many students in the class are wearing jackets?
Answers
Answer:
23 STUDENTS ARE WEARING JACKETS
Step-by-step explanation:
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answers
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the line y = 8x-3.
Answers
Answer:
The equation of the line in standard form is -8x + y = 20
Step-by-step explanation:
The standard form of the linear equation is Ax + By = C, where
A, B, and C are integersThe slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptParallel lines have equal slopes
∵ The line is parallel to the line y = 8x - 2
→ Compare it with the slope-intercept form above
∴ m = 8
∵ The parallel lines have the same slopes
∴ The slope of the line = 8
→ Substitute it in the slope-intercept form above
∴ y = 8x + b
∵ The line passes through the point (-2, 4)
∴ x = -2 and y = 4
→ Substitute x by -2 and y by 4 in the equation to find b
∵ 4 = 8(-2) + b
∴ 4 = -16 + b
→ Add 16 to both sides
∴ 4 + 16 = -16 + 16 + b
∴ 20 = b
→ Substitute the value of b in the equation above
∴ y = 8x + 20
→ Subtract both sides by 8x
∵ y - 8x = 8x - 8x + 20
∴ y - 8x = 20
→ Switch x and y
∴ -8x + y = 20
∴ The equation of the line in standard form is -8x + y = 20
please Solve for b.
Answers
Answer:
b = 24°
Step-by-step explanation:
b + 40° = 64° because that's a whole angle with 360° and the outside angle is given as 296
b = 64 - 40
b = 24°
In ΔGHI, the measure of ∠I=90°, GH = 8.5 feet, and IG = 4.7 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answers
Answer:
4.7
Step-by-step explanation:
use the following information for question 2 - 6: tv advertising agencies face increasing challenges in reaching audience members because viewing tv programs via digital streaming is gaining in popularity. the harris poll reported on november 13, 2012, that 53% of 2343 american adults surveyed said they have watched digitally streamed tv programming on some type of device. question 2: what is the sample proportion?
Answers
The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).
Given that,
Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.
We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?
We know that,
n = 2343
Point estimate = sample proportion = \(\hat p\) = 0.530
1 - \(\hat p\) = 1 -0.530 = 0.470
At 99% confidence level
α = 1-0.99% =1-0.99 =0.01
α /2 =0.01/ 2= 0.005
Z(α /2) = Z0.005 = 2.576
Z (α/2) = 2.576 = 2.58
Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)
=2.576 × (√(0.530×(0.470) /2343 )
= 0.027
A 99% confidence interval for population proportion p is ,
\(\hat p\)- E < p < \(\hat p\) + E
0.530 -0.027 < p < 0.530 +0.027
0.503 < p < 0.556
( 0.503, 0.556 )
Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).
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Find the third side in simplest radical form:
1&3
Answers
Answer:
\(\sqrt{10}\)
Step-by-step explanation:
\(1^{2} + 3^{2} =x^{2} \\1+9=x^{2} \\10=x^{2} \\\sqrt{10} =x\\\)
Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
Answers
The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
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Answer to thisssssss
Answers
Answer:
\(\huge\boxed{P\approx267.75m}\)
Step-by-step explanation:
Look at the picture in the attachment.
x it's the quarter of the circle with the radius r = 75m.
The formula of a circumference of a circle:
\(C=2\pi r\)
Therefore
\(x=\dfrac{1}{4}\cdot2\pi r=\dfrac{1}{2}\pi r\)
Substitute r = 75m:
\(x=\dfrac{1}{2}\pi\cdot75=37.5\pi(m)\)
The PERIMETER of the shaded region:
\(P=2\cdot75+37.5\pi=(150+37.5\pi)m\\\\\pi\approx3.14\)
substitute
\(P\approx150+37.5\cdot3.14=150+117.75=267.75(m)\)
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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need help with this question
Answers
Answer:
1. He added 5 instead of subtracted 5.
2. He should have subtracted 5.
3. 2 2/3
Step-by-step explanation:
3x+5=13
subtract 5 to both sides 3x=8
divide both sides by 3 x=8/3 or 2 2/3
Answer:
3x + 5 =13 is the error
Step-by-step explanation:
victor has saved $89.25 for the bicycle that he wants. the bicycle costs $129.85. victor how determine I the additional amount that he needs to save to have enough to buy the bicycle.
Answers
You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A B с 163 141 126 143 155 121 166 123 138 144 141 140 149 137 149 177 155 124 Sample 157 142 133 mean Sample variance 189.2 145.2 120.8 (a) Compute the sum of squares between treatments. (b) Compute the mean square between treatments. (c) Compute the sum of squares due to error. (d) Compute the mean square due to error. (Round your answer to two decimal places.) (e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Answers
To compute the required values and set up the ANOVA table, we need to follow these steps:
(a) Compute the sum of squares between treatments:
The sum of squares between treatments can be calculated using the formula:
SS_between = Σ(n_i * (mean_i - grand_mean)^2),
where n_i is the number of observations in treatment i, mean_i is the mean of treatment i, and grand_mean is the overall mean.
In this case, the data for Treatment A, B, and C are as follows:
Treatment A: 163, 141, 126, 143, 155, 121
Treatment B: 166, 123, 138, 144, 141, 140
Treatment C: 149, 137, 149, 177, 155, 124
The overall mean (grand_mean) can be calculated by taking the mean of all the observations:
grand_mean = (163 + 141 + 126 + 143 + 155 + 121 + 166 + 123 + 138 + 144 + 141 + 140 + 149 + 137 + 149 + 177 + 155 + 124) / (6 + 6 + 6) = 143.89 (rounded to two decimal places).
Now we can calculate SS_between for each treatment:
SS_between_A = 6 * (mean_A - grand_mean)^2 = 6 * (143.67 - 143.89)^2 = 1.52
SS_between_B = 6 * (mean_B - grand_mean)^2 = 6 * (139.00 - 143.89)^2 = 87.29
SS_between_C = 6 * (mean_C - grand_mean)^2 = 6 * (145.00 - 143.89)^2 = 7.45
The sum of squares between treatments is the sum of these values:
SS_between = SS_between_A + SS_between_B + SS_between_C = 1.52 + 87.29 + 7.45 = 96.26 (rounded to two decimal places).
(b) Compute the mean square between treatments:
The mean square between treatments (MS_between) is calculated by dividing the sum of squares between treatments by the degrees of freedom (df_between), which is the number of treatments minus 1:
df_between = number of treatments - 1 = 3 - 1 = 2
MS_between = SS_between / df_between = 96.26 / 2 = 48.13 (rounded to two decimal places).
(c) Compute the sum of squares due to error:
The sum of squares due to error can be calculated using the formula:
SS_error = Σ((n_i - 1) * variance_i),
where n_i is the number of observations in treatment i, and variance_i is the variance of treatment i.
In this case, the variances for Treatment A, B, and C are provided:
Variance_A = 189.2
Variance_B = 145.2
Variance_C = 120.8
The sum of squares due to error is calculated as:
SS_error = (n_A - 1) * variance_A + (n_B - 1) * variance_B + (n_C - 1) * variance_C
= (6 - 1) * 189.2 + (6 - 1) * 145.2 + (6 - 1) * 120.8
= 5 * 189.2 + 5 * 145.2 + 5 * 120.8
= 946 + 726 + 604
=
2276.
(d) Compute the mean square due to error:
The mean square due to error (MS_error) is calculated by dividing the sum of squares due to error by the degrees of freedom (df_error), which is the total number of observations minus the total number of treatments:
df_error = total number of observations - number of treatments = (6 + 6 + 6) - 3 = 15
MS_error = SS_error / df_error = 2276 / 15 = 151.73 (rounded to two decimal places).
(e) Set up the ANOVA table:
We can now set up the ANOVA table:
| Source | Sum of Squares (SS) | Degrees of Freedom (df) | Mean Square (MS) | F-Value |
|-----------------|---------------------|------------------------|-------------------|---------|
| Treatments | 96.26 | 2 | 48.13 | |
| Error | 2276.00 | 15 | 151.73 | |
| Total | 2372.26 | 17 | | |
To calculate the F-value, we need to compute the ratio of the mean square between treatments to the mean square due to error:
F = MS_between / MS_error = 48.13 / 151.73 = 0.3173 (rounded to four decimal places).
The p-value associated with the F-value can be determined by referring to an F-distribution table or by using statistical software.
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Algebra 2 Help ASAP!
Graph the points of the given function with the x-values
x=−2 , x = 2, and x = 7.
f(x)=-3√x+2
I NEED IT GRAPHED, WILL ATTACH BELOW
Answers
The coordinate point at given x values are(-2, 8); (2, -4), (7, - 19) and the graph is given below.
What are graphs:
In mathematics, a graph is a visual representation of a set of objects, such as points, and vertices that are connected by links or edges. Graphs are used to analyze relationships between objects or variables.
Graphs can be used to represent many types of data, such as social networks, transportation systems, and chemical reactions. T
Here we have
f(x) = -3x + 2
Let's take y = f(x)
At x = -2
=> y = -3(-2) + 2
=> y = 6 + 2
=> y = 8
At x = 2
=> y = -3(2) + 2
=> y = -6 + 2
=> y = -4
At x = 7
=> y = -3(7) + 2
=> y = - 21 + 2
=> y = - 19
Now use the coordinate points (-2, 8); (2, -4), and (7, - 19) to draw the graph as given below.
Therefore,
The coordinate point at given x values are(-2, 8); (2, -4), (7, - 19) and the graph is given below.
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Complete Question:
Graph the points of the given function with the x-values x=−2 , x = 2, and x = 7. f(x )= − 3x+2
did i do the work right?
Answers
Answer:
Yes Good job.. and good luck
Write the inequality in words.
3n < 52
Answers
the inequality 3n<52 is written in words as 3n is less than 52
Answer:
Step-by-step explanation:
Three times a number n is less than 52.
find the volume of a cylinder with a diameter of 22 yd and a height of 7 yd
Answers
V=π(d
2)2h=π·(20.12
2)2·6.4≈2034.42618m
Help and show work please!!
Answers
Answer:
Between 9 and 10
Step-by-step explanation:
I just multiplied 2/3 by 14
Does that help?
Answer:
C
Step-by-step explanation:
first do 14/1 times 2/3
it will be 28/3, then divide that
it should be 9.3 repeating
which is in the range of 9 and 10
In cell B7, find the score from the appropriate probability table to construct a 90% confidence interval. (hint use the T. INV. 2T function). In cell B9, find the upper limit for the mean at the 90% confidence level, In cell B10, find the lower limit for the mean at the 90% confidence level. Based on the number in cell B9 and B10, we can be 90% confident of what? Just needing help with these formulas for excel
Shipment Time to Deliver (Days)
1 7. 0
2 12. 0
3 4. 0
4 2. 0
5 6. 0
6 4. 0
7 2. 0
8 4. 0
9 4. 0
10 5. 0
11 11. 0
12 9. 0
13 7. 0
14 2. 0
15 2. 0
16 4. 0
17 9. 0
18 5. 0
19 9. 0
20 3. 0
21 6. 0
22 2. 0
23 6. 0
24 5. 0
25 6. 0
26 4. 0
27 5. 0
28 3. 0
29 4. 0
30 6. 0
31 9. 0
32 2. 0
33 5. 0
34 6. 0
35 7. 0
36 2. 0
37 6. 0
38 9. 0
39 5. 0
40 10. 0
41 5. 0
42 6. 0
43 10. 0
44 3. 0
45 12. 0
46 9. 0
47 6. 0
48 4. 0
49 3. 0
50 7. 0
51 2. 0
52 7. 0
53 3. 0
54 2. 0
55 7. 0
56 3. 0
57 5. 0
58 7. 0
59 4. 0
60 6. 0
61 4. 0
62 4. 0
63 7. 0
64 8. 0
65 4. 0
66 7. 0
67 9. 0
68 6. 0
69 7. 0
70 11. 0
71 9. 0
72 4. 0
73 8. 0
74 10. 0
75 6. 0
76 7. 0
77 4. 0
78 5. 0
79 8. 0
80 8. 0
81 5. 0
82 9. 0
83 7. 0
84 6. 0
85 14. 0
86 9. 0
87 3. 0
88 4. 0
Answers
Using the T.INV.2T function in Excel, the score for a 90% confidence interval is found to be 1.669. The upper limit for the mean is 6.455 and the lower limit is 5.093. We can be 90% confident that the true population mean shipment time falls between these two values.
To construct a 90% confidence interval for the shipment time to deliver data, you can use the following steps
Enter the data into a column in Excel (e.g., column A).
In cell B1, calculate the sample mean using the formula "=AVERAGE(A1:A88)".
In cell B2, calculate the sample standard deviation using the formula "=STDEV(A1:A88)".
In cell B3, calculate the standard error of the mean using the formula "=B2/SQRT(88)".
In cell B4, find the appropriate t-value for a 90% confidence interval with 87 degrees of freedom using the formula "=T.INV.2T(0.1,87)".
In cell B5, calculate the margin of error using the formula "=B4*B3".
In cell B6, calculate the upper limit for the mean at the 90% confidence level using the formula "=B1+B5".
In cell B7, find the score from the appropriate probability table using the formula "=T.INV.2T(0.05,87)".
In cell B8, calculate the lower limit for the mean at the 90% confidence level using the formula "=B1-B5".
The score in cell B7 should be approximately 1.663. The upper limit in cell B6 should be approximately 6.595, and the lower limit in cell B8 should be approximately 5.093. This means that we can be 90% confident that the true population mean for shipment time to deliver is between 5.093 and 6.595 days.
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Please help me, I need this ASAP.
60 POINTS
Answers
Answer:
Yes the ordered pair is a solution
Step-by-step explanation:
plug on the numbers
2< 2(-1) +8
2 < 6
4(2) > -4(-1)-6
8> 4-6
8> -2
What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
Answers
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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write each expression in simplest, (x-4)+(-2x+1)
Answers
Answer:
You can use symbolab for problems such as these, they'll provide step-by-step guides on how to do it. Symbolab is a math calculator that shows you how to solve each problem.
supposed that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degreees celcius. what sample size should be used?
Answers
Rounding up to the nearest whole number, we need a sample size of 25 to achieve a 95% confidence level with a maximum error of 2 degrees Celsius in estimating the mean temperature.
To calculate the sample size needed to achieve a 95% confidence level with a maximum error of 2 degrees Celsius, we can use the formula:
n = (z * σ / E) ^ 2
Where:
- n is the sample size
- z is the z-score associated with the confidence level (in this case, 1.96 for 95%)
- σ is the standard deviation of the temperature data (if unknown, we can use a conservative estimate of 5 degrees Celsius).
- E is the maximum error we want to allow (in this case, 2 degrees Celsius)
Plugging in the values, we get:
n = (1.96 * 5 / 2) ^ 2
n = 24.01
Rounding up to the nearest whole number, we need a sample size of 25 to achieve a 95% confidence level with a maximum error of 2 degrees Celsius in estimating the mean temperature.
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What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem
Answers
Answer:
C) SSA Similarity Theorem
Step-by-step explanation:
The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.
jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 5 + t
B. t + 5
C. 5t
D. t - 5
Answers
Answer:
C. : 5t
--
Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.
ara scoops flour into a mixing bowl. Each scoop contains 34
cup of flour. Clara puts 5 scoops of flour into the mixing bowl, then transfers 13
of the flour into a small bowl. How many cups of flour are in the small bowl?
Answers
Answer:
1 1/4 cups
Step-by-step explanation:
Write a function in any form that would match the graph shown below.
Answers
Answer:
f(x) = -2(x + 5)²(x - 2)²
Step-by-step explanation:
Let the function shown by the graph is,
f(x) = \(k(x-a)^{p}(x-b)^q\)
Here, x = a and b are the zeros of the function
p and q are the multiplicity of the function.
If the graph crosses x-axis at a zero x = a, p (multiplicity) will be odd.
If the graph just touches the x-axis at x = b, q will be even.
From the graph attached,
Zeros → x = -5, 2
Graph touches the x-axis, representing the even multiplicity.
Therefore, function will be,
f(x) = k(x + 5)²(x - 2)²
y-intercept from the graph → (0, -200)
From the given function,
-200 = k(0 + 5)²(0 - 2)²
-200 = 100k
k = -2
Therefore, function represented by the graph is,
f(x) = -2(x + 5)²(x - 2)²
Consider this equation.
Answers
Answer:
B
Step-by-step explanation:
given
tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)
this ratio relates to a right triangle, with hypotenuse h and
legs 3\(\sqrt{5}\) and 2
using Pythagoras' identity in the right triangle
h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )
h = \(\sqrt{49}\) = 7
then
cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)