I will first sketch in other to have a clearer picture of the diagram
Using the trigonometric ratio, tanngent of an angle is given by:
\(\tan \theta=\frac{opposite}{\text{adjacent}}\)from the diagram,
opposite = 77 and adjacent =36
\(\tan \text{ M =}\frac{77}{36}\)Mr . Jack sold 13 pounds of grapes at his grape stand . The grapes sold for 2.28 per pound .
How much did mr . Jack receive for the grapes he sold ?
Answer:
$29.64
Step-by-step explanation:
Multiply the number of pounds by the unit price.
13 lb * $2.28/lb = $29.64
PLEASE HELP ME SOMEONE!!!
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
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Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
write down a matrix b in jordan canonical form whose characteristic polynomial is s(s 3)3(s 5)2 and whose minimum polynomial is s(s 3)2(s 5).
Jordan's canonical form can be written in a matrix as follow:
Calculate the eigenvalues of the given polynomial which are 0, 3, 5.
Calculate the algebraic multiplicity of the eigenvalues which are 1, 2, 2 respectively. Create a matrix B in Jordan canonical form with dimensions of 5x5.
Fill the diagonal elements of the matrix with eigenvalues.
Fill the upper off-diagonal elements with ones and lower off-diagonal elements with zeros.
The final matrix B in Jordan canonical form is as follows:
B =
[0 1 0 0 0]
[0 0 1 0 0]
[0 0 3 1 0]
[0 0 0 3 0]
[0 0 0 0 5]
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(Irrational Numbers MC)
Approximate -10 + √30 to the nearest tenth. HELP PLS
-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5
Answer:
-4.5
Step-by-step explanation:
\(\sqrt{30}\) is approximately 5.47722557505. You can find this number with a calculator.
-10 + 5.47722557505 = -4.52277442495
To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value. Absolute value just means thinking of both numbers as positive numbers.
Helping in the name of Jesus.
The intercepts areFind the xx and yy intercepts of the equation: −3x−7y=−42-3x-7y=-42
we have the equation
-3x-7y=-42
Part A
x-intercepts (values of x when the value of y=0)
so
For y=0
substitute in the given equation
-3x-7(0)=-42
-3x=-42
x=14
therefore
x-intercept is (14,0)Part B
y-intercept (value of y when the value of x=0)
so
For x=0
-3(0)-7y=-42
-7y=-42
y=6
therefore
y-intercept is (0,6)help asap! i need to submit this soon and I don’t get it!
Answer:
no
Step-by-step explanation:
linear must be straight
In this diagram lines AB and CD are Parallel
Answer: I need a picture to find out ;-;
Step-by-step explanation:
Answer:
if youre asking for the equation its AB=CD
Step-by-step explanation:
If youre not, you'll need to attach a file or smth :'D
PLEASE HELP!!! WILL BRAINLIEST!!!
This is the answer for youuu!
Give me the brainlest hehee
7,1
14,2
21,3
Need help asap please
Answer:
B) 4a^3 + 24ab^2 - 25b^3
Step-by-step explanation:
Nami's lemonade pitcher will hold 3 5 gallons of lemonade How many pints of lemonade will the pitcher hold?
Answer:
8 pints
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+
Answer:
A
Step-by-step explanation:
To find 10% of 500 you would multiply 500 by 0.1
1. Sen 495° debo o sea evaluarlas las funciones trigonométricas para ángulos que no se encuentra en círculos unitarios y me pide explicar y desmontar
Answer:
which language is this???
I Need help ASAP!!!
Answer:
x = 15, AOB = 15, BOC = 165
Step-by-step explanation:
Assume that this is a straight line
2x - 15 + 11x = 180
Combine like terms
13x - 15 = 180
Add 15 on both sides
13x = 195
Divide 13 on both sides
x = 15
Substitute x for 15 in both equations
2(15) - 15 = 15
11(15) = 165
(For checking purposes, 165 + 15 = 180)
Laura received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.96 per pound. After buying the coffee, she had $56.13
left on her card. How many pounds of coffee did she buy?
Answer:
Step-by-step explanation:
Hi.
I can help.
First what we want to do is take what she had before spending any money and then take what she had after.
So :
$80.00
and
$56.13
Now to find how much she spent we can subtract these two numbers like so :
80.00 - 56.13
=
23.87
So now we know she spent a total of $23.87 on coffee in pounds.
Now if each pound of coffee costs $7.96 we can divide this into how much she spent $23.87 to find the total amount of pounds she bought for $7.96.
So:
23.87 / 7.96
=
About 3
She bought 3 pounds of coffee.
Hope this helps,
Have a great weekend
Solve for y:1(y+3)=2(y+−4)+−7
Answer:
\(\large \boxed{{y=18}}\)
Step-by-step explanation:
\(1(y+3)=2(y+-4)+- 7\)
Expand brackets.
\(y+3=2y-8+- 7\)
Simplify.
\(y+3=2y-15\)
Add -y and 15 on both sides.
\(y+3-y+15=2y-15-y+15\)
Simplify.
\(3+15=2y-y\)
\(18=y\)
Answer:
18
Step-by-step explanation:
● 1 (y+3) = 2 (y+(-4) )+ (-7)
When you multiply by 1 you get the same result.
● y+3 = 2 (y+(-4))+(-7)
When you have a + sign with a - sign write -.
● y+3 = 2(y-4)-7
Multiply 2 by (y-4) and simplify
● y+3 = (2y-8)-7
● y+3 = 2y -8-7
● y+3 = 2y -15
Add 15 to both sides
● y +3+15 = 2y-15 +15
● y + 18 = 2y
Sibstract y from both sides
● y +18 - y = 2y -y
● 18 = y
Need help with top problem. Maybe bottom too
1) The area of a circle circumscribed about a square is 307.7 cm².
2.a.) The angle ACB is 39 degrees.°.
2b.) The value of x is 5.42.
How to determine the area of a circle?We shall find the radius to determine the area of a circle.
First, find the side length of the square:
Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.
Next, find the diagonal of the square, using the Pythagorean theorem:
Diagonal = the diameter of the circumscribed circle.
Diagonal² = side length² + side length²
= 14 cm² + 14 cm²
= 196 cm² + 196 cm²
= 392 cm²
Take the square root of both sides:
Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)
Then, the radius of the circle which is half the diagonal:
Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)
Finally, compute the area of the circle using the formula:
Area = π * Radius²
Area = 3.14 * (9.90 cm)²
Area ≈ 307.7 cm² (rounded to two decimal places)
Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².
2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.
Given that arc AB has a measure of 78°, we can find angle ACB as follows:
Angle ACB = 1/2 * arc AB
= 1/2 * 78°
= 39°
Therefore, the angle ACB is 39 degrees.
2b.) To solve for the value of x, we use the information that the angle ADB = (3x - 12)⁴.
Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:
(3x - 12)⁴ = 78
Solve the equation for x, by taking the fourth root of both sides:
∛∛((3x - 12)⁴) = ∛∛78
Simplify,
3x - 12 = ∛(78)
Isolate x by adding 12 to both sides:
3x - 12 + 12 = ∛(78) + 12
3x = ∛(78) + 12
Finally, divide both sides by 3:
x = (∛(78) + 12) / 3
x = (4.27 +12) / 3
x = 5.42
So, x is 5.42
Therefore,
1) The area of the circle is 154 cm².
2a.) Angle ACB is equal to 102°.
2b.) The value of x is 5.42
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A football costs $20 but sells it for $28. What is the percent markup?
Answer:
40%
Step-by-step explanation:
40÷ 100=0.4
0.4×20=8
8+20=28
another way
28-20=8
8÷20=0.4
0.4×100=40
40%
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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What is the inverse of the function?
H^-1(x)=
Answer:
H^-1=2/5x-8/5
Step-by-step explanation:
interchange the variables
x=5/2y+4
so 5/2y=x-4
y=2/5x-8/5
H^-1=2/5x-8/5
What is the slope of the line that passes through the points (10,5)and (15,20)
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,5)and (15,20)
The slope is
\(m = \frac{20 - 5}{15 - 10} = \frac{15}{5} = 3 \\ \)
We have the final answer as
3Hope this helps you
You have 10 cards numbered 0-9, what is the probability of drawing 1, replacing the cord and then drawing on odd number?
Answer:
1/20
Step-by-step explanation:
1/10x5/10=5/100=1/20
10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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in AABC, side b = 12, side c = 20 and m_A = 40°. Find side a and round the answer to the nearest integer.
Explanation
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
Enter the number that belongs in the green box. 4 51° 109°
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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where is the local (relative) maximum for the graph below?
The local maximum for the graph below is given at point b.
How to classify the function as increasing, decreasing or constant, and how it relates to the local maximum?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.A function has a local maximum when it changes from increasing to decreasing.
For the graphed function, we have that the function is increasing until point b, and then it starts to decrease, hence the local maximum is given at point b.
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Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Solve for w.
242 = 160-W
Jerry drew AJKL and AMNP so that ZK ZN, ZL 2P, JK= 6, and
MN = 18. Are AJKL and AMNP similar? If so, identify the similarity postulate
or theorem that applies.
A. Similar - SAS
B. Similar - AA
C. Similar - SSS
D. Cannot be determined
The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.
It is given that two triangles that are JKL and MNP are considered in which:
∠K = ∠N∠L = ∠PJK = 6MN = 18Now, from ΔJKL and ΔMNP, we have
∠K = ∠N (Given in the question)
∠L = ∠P(Given in the question)
Thus, by AA rule of similarity,
ΔJKL is similar to ΔMNP.
Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.
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