Help me..What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

Step-by-step explanation:

The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.

Pythagorean theorem : a² + b² = c²

Where a and b = legs and c = hypotenuse ( longest side )

We are given the length of the hypotenuse as well as a leg and we need to find the other leg.

Hypotenuse (c) = 45

Leg (a) = 36

To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b

Recall the Pythagorean theorem : a² + b² = c²

a = 36 and c = 45

(36)² + b² = (45)²

simplify exponents : 36² = 1296 and 45² = 2025

1296 + b² = 2025

subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729

b² = 729

take the square root of both sides: √(b)² = b and √729 = 27

We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27

Related Questions

A computer and printer cost a total of $930 . The cost of the computer is two times the cost of the printer. Find the cost of each item.

Answers

Answer:

Computer: $620

Printer: $310

Step-by-step explanation:

c + p = 930

c = 2p

c = cost of the computer

p = cost of the printer

replacing the second eq. in the first eq.

2p + p = 930

3p = 930

p = 930/3

p = 310

from the second eq.

c = 2p

c = 2*310

c = 620

Check

from the first eq.

620 + 310 = 930

how many solutions does x squared= 4x -5 have

Answers

Answer: There are no solutions

Answer:

Two

Step-by-step explanation:

x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.

All quadratics have exactly two roots/solutions.

In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.

Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.

Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework

Answers

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

The perimeter of the triangle is 20.6 centimeters. What is the unknown side length?

Answers

Answer:

OK so a triangle has 3 sides and the perimeter around it is 20.6 cm to find the unknown for the length of a side it would be 20.6 ÷3 which is = to 6.86 to 2 decimal places

Step-by-step explanation:

20.6÷3

= 6.86 cm to 2 dp

Victoria kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air, it reached a height of approximately 15 feet. Assuming that the soccer ball height (in feet) is a function of time (in seconds), what is the domain in the context of this problem?

Answers

Answer:

the Domain would be represented by Time in this problem, since time can only be positive, the domain would start at zero seconds and end at 5 seconds when the soccer ball hits the ground.

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Using the equation y2-y1 / x2-x1 to find the gradients:

The 'm' stands for gradient

7) 9+20/-5+14

m = 29/9

8) -6-1/5+1

m = -7/6

9) -9-9/-14-15

m = 18/29

10) 15+12/18-2

m = 27/16

A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.

Answers

B no ........................

Divide £520 in the ratio 6:7

Answers

Start off by adding the ratio together.
6 + 7 = 13

Now we can divide 520 by 13 = £40

Answer = £40.

The ratio of the number 520 in 6: 7 will be 240: 280.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the number 520 is divided into the ratio 6: 7.

The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.

6x + 7x = 540

13x = 540

x = 540 / 13

x = 40

6x = 40 x 6 = 240

7x = 7 x 40 = 280

Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.

To know more about ratios and proportions follow

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determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Answers

Answer:

C. (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

_____

If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

2x -y = -3

3x -y = -1

Subtracting the first from the second gives ...

(3x -y) -(2x -y) = (-1) -(-3)

x = 2 . . . . . matches choice C

Brainliest for free

JK

Solve the inequality d + 6 < 13 for d.

Answers

Answer:

[tex]\huge\boxed{\sf d < 7}[/tex]

Step-by-step explanation:

Given inequality is:

d + 6 < 13

Subtract 6 to both sides

d < 13 - 6

d < 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

You can answer the ones you want to. At least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

While moving up on the rope-way, I noticed that the seat place in the opposite direction was numbered as 95. Behind it was number 0, then 1, 2 and so on. My seat place was numbered as 66. What number should I meet when I am in the middle of my one-way route?

Answers

The seat in the middle of the one-way route is 34

The seats are given as:

[tex]First= 0[/tex] --- the first seat behind the seat number 95

[tex]Last= 66[/tex] --- my seat

The seat number half-way would be:

[tex]Half = \frac{Last - First}{2} + 1[/tex]

This gives

[tex]Half = \frac{66- 0}{2} + 1[/tex]

Subtract 0 from 66

[tex]Half = \frac{66}{2} + 1[/tex]

Divide 66 by 2

[tex]Half = 33 + 1[/tex]

Add 33 and 1

[tex]Half = 34[/tex]

Hence, the seat in the middle of the one-way route is 34

Answers

Answer:

115

Step-by-step explanation:

They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.

180 - 65 = 115

I hope this helps!!

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?

Answers

Answer:

Step-by-step explanation:

What is the slope from the equation: 2x + 9

Answers

Answer:

If you want a angle the angle is positive and the answer is M=2

Step-by-step explanation:

The answer is M=2

5 more than 3
meaning what number ?

Answers

Answer:

Step-by-step explanation:

5+3=8

3 plus 5 more makes 8

Answer is 8

Explanation:
5+3=8
And the other way around

PLSS HELP MEE WILL MARK BRAINLIEST
What would be the point in between the 700 and 800?

Answers

Answer:

750

Step-by-step explanation:

Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months

Answers

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

What’s the Pythagorean therorimm

Answers

Answer:

38.29 i think

Step-by-step explanation:

The Pythagorean theorem is A^2+B^2=C^2

For your problem you would do 29-7 as we are trying to find X. So we need to create a right triangle in order to do this.
Now we have two out of the three sides, 25 and 22.

25^2= 625

22^2= 484

Now add them 625+484=1109

Now find the square root of 1109

33.301651 (round to whatever decimal point as needed)

I need the answer urgent plssss

Answers

Answer:

4,6,14,18, and 20

Step-by-step explanation:

evaluate each expression if r=12 s= -4 t= -6
rs divided by 16

Answers

Answer:

-3

Step-by-step explanation:

r = 12

s = -4

t = -6

Equation

rs ÷ 16

12(-4) ÷ 16

-48 ÷ 16

-3

The value of the expression rs ÷ 16 at r = 12, s = -4, and t = -6 will be negative 3.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ rs ÷ 16

The value of the expression at r = 12, s = -4, and t = -6 will be given as,

⇒ [12 × (-4)] ÷ 16

Simplify the expression, then we have

⇒ [12 × (-4)] ÷ 16

⇒ - 48 / 16

⇒ - 3

The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.

More about the value of the expression link is given below.

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Rewrite the linear equation 2x = 13y – 9 in slope-intercept form

Answers

Answer:

[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]

Step-by-step explanation:

we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept

1) add 9 to both sides

2x = 13y - 9

2x + 9 = 13y

2)divide 13 on both sides

2x + 9 = 13y

2/13x + 9/13 = y

final equation is

[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]

Answers

Answer:

SU + UT = RT

Step-by-step explanation:

Given that TU = 6 units, RT = 12 units and RS = 24 units.

So,

For finding US, we will subtract the length of RT and TU from RS.

US = RS - RT - TU

US = 24 - 12 - 6

US = 6 units

Putting all the given values in the given conditions, we get the first option right, which is:

SU + UT = RT

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9

Answers

Answer:

I dont need

Step-by-step explanation:

what to convert

Write a system of linear inequalities represented by the graph.

Answers

Answer:

x=2 ,. y=y -3

Step-by-step explanation:

I hope it helps

The equations of the lines given in the graph will be y = 3x and y =-5x -2.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 1,3 ) and ( 0,0)

Slope = ( 0 - 3) / ( 0 - 1 )

Slope = 3

The equation will be,

y = 3x

For line two the points are:-

(-1,3) and (0,-2),

Slope = ( -2 - 3 ) / ( 0 + 1)

Slope = -5

The y-intercept will be,

y = mx +c

c = -2

The equation can be written as:-

y = -5x - 2

To know more about an equation of the line follow

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If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?

Answers

Answer:

2/3

Step-by-step explanation:

1/(3/4)=4/3(4/3)2.5

10 cups/=3.333

There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?

Answers

Step-by-step explanation:

72 apples.

38 red, and therefore 72-38 = 34 green.

46 have worms, therefore 72-46 = 26 have not.

and so, in the best case you have 26 green apples without worms.

how to calculate $15 with a 40% off

Answers

Answer:

15 x 0.40=6

so subtract 6 from 15, and you have $9.

Hope this helps!

Answer:

$9 is correct

Step-by-step explanation:

$15 x 60% is $9

to find 60% you use 100%-40% equals 60%

does this make sense?

Answer the ones you want to. Answer at least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

For 8 b, draw 36 squares and for 8 c, it would be 144:)

Identify the domain of the exponential function shown in the following graph :

Answers

Answer:

The domain of this exponential function is (all real numbers).

Step-by-step explanation:

The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.

I hope this helps!

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