Answer:
hope it helps it is donr by using pythogorous theorem
The third side of the right triangle is 10.72 unit.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Given, the side of right triangle is;
Let H be hypotenuse = 14
And P be perpendicular = 9
Then to find third side base be B,
we use the Pythagoras theorem;
(H)² = (P)²+(B)²
Rearranging,
(B)² = (H)² - (P)²
(B)² = (14)² - (9)²
(B)² = 196 - 81
(B)² = 115
B = 10.72 unit.
Therefore, the third side is 10.72 unit.
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What is tan A?
Tan A =
Answer:
5/12
Step-by-step explanation:
tan is opposite/adjacent
the opposite of a is 5 and the adjacent of a is 12
In the diagram below, xlly and y||z . Find m/1.
120°
m/1=
X
y
Z
Since x and y are parallel, we can conclude that the internal angles indicated by the 120° .
what is parallel lines ?No matter how far in either direction they are stretched, parallel lines are two or more lines in a plane that never cross. They always have the same incline and are equally spaced apart. In geometry, parallel lines are represented by the symbol ||, which is made up of two straight lines.
given
Since x and y are parallel, we can conclude that the internal angles indicated by the 120° .
The angle to the right of it are alternate and equal.
M/1 equals 120 degrees, so.
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Find R. Round to the nearest tenth.
Answer:
letter R rounded off to the nearest tenth is 40
15 is the answer because this is the nearest
3x+y=-2
x-y=-6
Solve for x and y using solve by elimination
Answer:
I would solve for x with the first equation, then use that to solve for y in the second, then check by inputting values.
3x+y=-2
x-y=6
x=6+y
then...
3(6+y)+y=-2
18+3y+y=-2
18+4y=-2
4y=-20
y=-5
So..
3x+-5=-2
3x=3
x=1
3(1) + -5 = -2
Step-by-step explanation:
this might be correct.
Triangle LMIN with vertices L(2, -8), M(12, 8),
and N(14,-4): * = ½
The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).
Here, scale factor k=1/2
Now, by applying scale factor to the vertices, we get
L(2, -8)→1/2 (2, -8)→L'(1, -4)
M(12, 8)→1/2 (12, 8)→M'(6, 4)
N(14,-4)→1/2 (14, -4)→N'(7, -2)
Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
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"Your question is incomplete, probably the complete question/missing part is:"
Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.
Two hot dogs and a soda cost $3.25.if three hot dogs and a soda cost $4.50.what is the cost of two sodas?
Answer: $1.50
Step-by-step explanation: 1. subtract the 3.25 from 4.50 to get a difference that is the price of the added hotdog 2. now that you know each hot dog cost $1.25 you can do 3.25 - 2(1.25) to get 0.75 which is the price of one soda. 3. You can no multiply $0.75 by two (the amount of sodas) to get the answer $1.50.
I need help on question 24-26
Answer:
24 38%
25 17.04%
26 53%
Step-by-step explanation:
Q24
L = MN
M becomes 1.15M; N becomes 1.2N
L = (1.15M)(1.2N)
L = 1.38MN
L was MN; now L is 1.38MN
Answer: The percent increase in L is 38%
Q25
A = bh/2
A = 0.5ab
a becomes 1.33a; b becomes 0.88b
A = (1.33a)(0.88b)/2
A = 0.5852ab
The area increased from 0.5ab to 0.5852ab.
0.5852/0.5 = 1.1704
Answer: The percent increase in area is 17.04%
Q26
30% of members are male
70% of members are female
Male training for marathon: 60% of 30% = 18%
Female training for marathon: 50% of 70% = 35%
Total: 18% + 35% = 53%
Answer: 53%
find the value of x
Therefore, the value of x in the right triangle is 24 cm.
What is triangle?A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.
Here,
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.
Using the Pythagorean Theorem, we can find the missing length x:
a² + b² = c²
where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.
In this case, a = 7 cm, b = x, and c = 25 cm.
Substituting these values into the Pythagorean Theorem, we get:
7² + x² = 25²
49 + x² = 625
x² = 625 - 49
x² = 576
x = √576
x = 24
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A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°
The perimeter of the pond is 2.92 meters.
What s a right-angle triangle:
A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.
The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
The perimeter of a right-angled triangle is the sum of the lengths of its three sides.
Here we have
The Hypotenuse of the triangle is 1.46 m
The angle between hypotenuse and perpendicular height = 73°
From triagonometric ratios,
=> cos A = Perpendicular height/ Hypotenuse.
=> cos (73) = Perpendicular height/1.46
=> Perpendicular height = 1.46 × 0.29 = 0.42 m
As we know from Pythagoras' theorem,
Hypotenuse² = side² + side²
Side = √Hypotenuse² - side²
= √[(1.46)²- (0.42)²] = 1.04
Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04
Hence, perimeter of the pond = 1.46 + 0.42 + 1.04 = 2.92 meters
Therefore,
The perimeter of the pond is 2.92 meters.
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The complete Question is given below
Need help ASAP please and thank you
TOPIC=Rearranging
Task:Make x the subject of these equations
6x + v = 4x + w
ax + 9 = 2x + b
7x - w = vx+4
6 - wx = vx + 4
3(wx-v) = 4(x+v)
All the solutions are,
⇒ x = 1/2 (w- v)
⇒ x = (b - 9)/(a - 2)
⇒ x = (4 + w) / (7 - v)
⇒ x = 2 / (v + w)
⇒ x = 7v/(3w - 4)
Given that;
Expressions are,
⇒ 6x + v = 4x + w
⇒ ax + 9 = 2x + b
⇒ 7x - w = vx+4
⇒ 6 - wx = vx + 4
⇒ 3(wx - v) = 4(x + v)
We can simplify as;
⇒ 6x + v = 4x + w
⇒ 6x - 4x = w - v
⇒ 2x = w - v
⇒ x = 1/2 (w- v)
⇒ ax + 9 = 2x + b
⇒ ax - 2x = b - 9
⇒ (a - 2)x = b - 9
⇒ x = (b - 9)/(a - 2)
⇒ 7x - w = vx+4
⇒ 7x - vx = 4 + w
⇒ (7 - v) x = 4 + w
⇒ x = (4 + w) / (7 - v)
⇒ 6 - wx = vx + 4
⇒ vx + wx = 6 - 4
⇒ (v + w)x = 2
⇒ x = 2 / (v + w)
⇒ 3(wx - v) = 4(x + v)
⇒ 3wx - 3v = 4x + 4v
⇒ 3wx - 4x = 7v
⇒ (3w - 4)x = 7v
⇒ x = 7v/(3w - 4)
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Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
Is 9 yards bigger then 324 inches
Answer:
No
Step-by-step explanation:
Because they are equal
Answer: no , it’s equal
Step-by-step explanation:
9 yards is equal to 324 inches
Cuz there are 36 inches in 1 yard
So 36(9) = 324 inches!!
What is 2,753 divided by 7?
Estimate the answer.
Answer:
Step-by-step explanation:
275 - (3 x 2) = 269
Since 269 is not divisible by 7, 2753 is also not divisible by 7.
Therefore, the answer to "Is 2753 Divisible By 7?" is no.
(2753 / 7 = 393.286)
I need help please asap
Answer:
0, 1/13, 49/100, 1/2, 11/20, 8/9, 1
Step-by-step explanation:
You know the smallest is 0, largest is 1
the middle is 1/2
49/100 is slightly smaller than 1/2 or 50/100
11/20 is slightly larger than 1/2 or 10/20
1/13 is slightly larger than 0
8/9 is slightly smaller than 1
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and brainliest :)
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Tina wants to run 123 miles over
7 days. She wants to run the same
distance each day. How far must she
run each day?
Answer:
17 4/7
Step-by-step explanation:
we'll need to divide 123 by 7
123/7= 17 R 4
But she can't have an extra 4 miles out so,
17 4/7
If we list all the numbers that can be generated by the numbers 2, 4, 5, 6, 7, and 8, and arrange
them in the increasing order what position will the number 872456 be placed?
For example, if we consider the numbers that can be generated by the numbers 1, 4, and 5, and
arrange them, we will get the following ordering of the numbers:
1) 145
2) 154
3) 415
4) 451
5) 514
6) 541
We see that 145 is in the first position, 154 is in the second position, and so on
Using the arrangements formula, it is found that the number is in position 697.
-----------------------
The number of possible arrangements of n elements is given by:
\(A_n = n!\)
In this problem, the numbers are sorted as:
Numbers in which the first is not 8.Numbers in which the first is 8, and the second is not 7.872456 is the first number that starts with 87.Number of elements which we do not start with 8.
For the first digit, there are 5 possible options, which are 2, 4, 5, 6 and 7.For the remaining five, it is arrangement of 5.Thus:
\(n = 5 \times 5! = 600\)
Numbers that start with 8, and the second element is not 7.
For the second digit, there are 4 possible options, which are 2, 4, 5 and 6.For the remaining four digits, it is an arrangement of 4.Thus:
\(n_2 = 4 \times 4! = 96\)
Total:
\(600 + 96 = 696\)
872456 is the first number which starts with 87, thus it is at position 697.
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Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in 2017 as well as the projections for 2022. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows. Excel File: data 12-23.xlsx Country Use Social United United Media Kingdom China Russia States Yes 480 215 343 640 No 320 285 357 360 a. Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. Using a 0.05 level of significance.b. What are the sample proportions for each of the four countries? Round your answers to two decimal places.c. sing a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. Round Pi , P; and Diff to two decimal places.
a. To determine whether the proportion of adults using social media is equal for all four countries, we can conduct a hypothesis test. The null and alternative hypotheses are as follows:
H0: The proportion of adults using social media is equal for all four countries
Ha: The proportion of adults using social media is not equal for all four countries
For the test, we will use a 0.05 level of significance.
b. The sample proportions for each of the four countries are as follows:
United Kingdom: P1 = 480 / (480 + 320) = 0.60
China: P2 = 215 / (215 + 285) = 0.43
Russia: P3 = 343 / (343 + 357) = 0.49
United States: P4 = 640 / (640 + 360) = 0.64
c. To conduct multiple pairwise comparison tests among the four countries, we will use the following formula:
Pi - Pj / √(P(1-P)(1/n1 + 1/n2))
Where Pi and Pj are the proportions for two countries, n1 and n2 are the sample sizes for two countries.
United Kingdom vs. China: Diff = 0.60 - 0.43 / √(0.51*0.49*(1/800 + 1/600)) = 0.17 / 0.03 = 5.67
United Kingdom vs. Russia: Diff = 0.60 - 0.49 / √(0.51*0.49*(1/800 + 1/700)) = 0.11 / 0.03 = 3.67
United Kingdom vs. United States: Diff = 0.60 - 0.64 / √(0.51*0.49*(1/800 + 1/1000)) = -0.04 / 0.03 = -1.33
China vs. Russia: Diff = 0.43 - 0.49 / √(0.57*0.43*(1/500 + 1/700)) = -0.06 / 0.04 = -1.50
China vs. United States: Diff = 0.43 - 0.64 / √(0.57*0.43*(1/500 + 1/1000)) = -0.21 / 0.04 = -5.25
Russia vs. United States: Diff = 0.49 - 0.64 / √(0.51*0.49*(1/700 + 1/1000)) = -0.15 / 0.03 = -5.00
Since the level of significance is 0.05 and all of the calculated differences in proportions are less than the critical value (1.96), we fail to reject the null hypothesis and conclude that there is no significant difference between the proportion of adults using social media in the four countries.
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!!! PLEASE HELP ASAP !!!! just fill in the few boxes (serious answers only or i’ll report)
also if you zoom in on the picture, it’ll become clear
Answer:
See explanation
Step-by-step explanation:
sin(α + β) = sin α cos β + sin β cos α
sin(α - β) = sin α cos β - sin β cos α
\(\frac{1}{2}\)[ sin(α + β) + sin(α - β)] = \(\frac{1}{2}\)[sin α cos β + sin β cos α + sin α cos β - sin β cos α]
= \(\frac{1}{2}\)[2 sinα cos β]
= sin α cos β = \(\frac{1}{2}\)[ sin(α + β) + sin(α - β)]
3. Which inequality is represented by the accompanying graph? *2po.
We have that in the vertical axis (y axis), a number above is bigger than the numbers below:
In this caseWe observe that the shaded region covers the numbers of y that are above 3. They are the numbers less than 3.
y < 3
Answer: A. y < 3
310=−6.2f
HELP ME PLEASE!!!!!!!!!!!!!!!!!!
Answer:
-50
Step-by-step explanation:
divide both sides by -6.2. This gets rid of the -6.2 on the right.
divide 310 by -6.2
f = -50
A construction crew is pouring concrete to make a floor in a building. The weight of the concrete is proportional to the volume of concrete that has been poured. After pouring 5 cubic feet they know the weight of the concrete is 740 pounds.
(b). The crew wants to create an equation of the form w=k*v to calculate the weight of the concrete based on its volume in cubic feet. What is the value of k in this equation? explain
The equation that can be used to calculate the concrete weight, w = k·v, and the 740 pounds weight of 5 cubic feet concrete, gives the value of k (which is the density of the concrete) as 148 lb/ft³
What is the density of a substance?The density of a material is the ratio of the mass of the material to its volume.
(b) The weight, w of the concrete is directly proportional to the volume, v of the concrete
The weight of 5 cubic feet = 740 pounds
The equation that can be used to calculate the weight of a given volume of concrete is; w ∝ v
w = k·vWhere;
k = The constant of proportionality
Which gives;
\(k = \dfrac{w}{v}\)
In a proportional relationship between two variables, one variable is a constant multiple of the other such that the ratio of the two variables is a constant, k, which can be found using the value for the data point in the question;
When the weight is 740 pounds, the volume is 5 cubic feet, which gives;
\(k = \dfrac{740\, lb }{5\, ft^3} = 148\, lb/ft^3\)
The value of k in the equation is 148 lb/ft.³Learn more about the constant of proportionality here:
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Error Analysis:
Describe and correct the error made in the reasoning:
If a/5 = b/3, then 5/a = b/3 * x
The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.
To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:
a/5 = b/3
5/a = 3/b (multiplying both sides by 5/a)
5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)
5/a = 1
Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
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What is the sum of the infinite geometric series?
Answer:
-6
Step-by-step explanation:
a1= -3
r= -(3/2)/-3 = 0.5
r>-3
s= a1/1-r
= -3/1-0.5
=-6
5 + 5 + 5 + 5 + 220+ 30004
Answer:
30244
Step-by-step explanation:
Which inequality is graphed below
Answer:
wheres it at?
Step-by-step explanation:
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Solve the following system of equations.
2x + y = 3
x = 2y-1
ANSWER: ______
plz help me
(1,1) is your answer.
Work is shown below.
Any questions? Feel free to ask.
Answer: (1,1)
Step-by-step explanation:
i need help ASAP !!
Answer:
The correct option is (B).
Step-by-step explanation:
The given statement is :
\(\sqrt[4]{2} =2^{\dfrac{1}{4}}\)
We need to select the correct simplification for this.
We know that, \(\sqrt[a]{x} =x^{\dfrac{1}{a}}\)
So,
\(\sqrt[4]{2} =(2)^{\dfrac{1}{4}}\)
Also, \((x^a)^b=x^{a\times b}\)
So,
\((2^{\dfrac{1}{4}})^4=2^{\dfrac{1}{4}}\times 2^{\dfrac{1}{4}}\times 2^{\dfrac{1}{4}}\times 2^{\dfrac{1}{4}}\\\\=2^{\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}}\\\\=2^1\\\\=2\)
So, these are the steps. Hence, the correct option is (B).
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. \(Initial = 244\)
2. \(b = 244 + 52h\)
3. 660 boxes
Step-by-step explanation:
Given
\(Rate = 52\ per\ hour\)
\(Total\ boxes\ in\ 3\ hours = 400\)
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
\(Boxes = Rate * Hours\)
\(Boxes = 52 * 3\)
\(Boxes = 156\)
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
\(Initial = 400 - 156\)
\(Initial = 244\)
Solving (b): Linear function
\(b = boxes\)
\(h = hours\)
Since, we have the rate and the initial number of boxes.
The linear function is:
\(Boxes = Initial + Rate * Hours\)
i.e.
\(b = 244 + 52 * h\)
\(b = 244 + 52h\)
Solving (c): Boxes at the end of the 8th hour
We have:
\(b = 244 + 52h\)
In this case:
\(h = 8\)
Substitute 8 for h
\(b = 244 + 52 * 8\)
\(b = 244 + 416\)
\(b = 660\)
Hence, there are 660 boxes at the end of the 8th hour