The hypotenuse of a right triangle is 30 inches. With one of the sides being 18 inches. Find the missing side length. Round to the nearest hundredth if necessary

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Pick any two corresponding points from the table

So, we have:

[tex](x_1,y_1) = (8,1.21)[/tex]

[tex](x_2,y_2) = (12,1.63)[/tex]

So:

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m =\frac{1.63 - 1.21}{12 - 8}[/tex]

[tex]m =\frac{0.42}{4}[/tex]

[tex]m =0.105[/tex]

The linear equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.105 * (x - 8) + 1.21[/tex]

Open bracket

[tex]y = 0.105x - 0.84 + 1.21[/tex]

[tex]y = 0.105x + 0.37[/tex]

To get the length closest to 4.2lb,

we set [tex]y = 4.2[/tex]

Then solve for x

So, we have:

[tex]y = 0.105x + 0.37[/tex]

[tex]4.2 = 0.105x + 0.37[/tex]

Collect like terms

[tex]0.105x= 4.2 - 0.37[/tex]

[tex]0.105x= 3.83[/tex]

Solve for x

[tex]x= 3.83/0.105[/tex]

[tex]x\approx 36.5[/tex]

Answer:

You just need to find the area of each part and add them

Step-by-step explanation:

the answer is 48+20+THE BOTTOM 4TH

im not sure how to do the bottom because I can't seem to find the radius

ignore my answers before but i think it is 181.1

ABCD is a trapezoid

Given points of the quadrilateral:

A(8,21),B(10,27),C(26,26) and D(18,2)

To show whether ABCD is a trapezoid, we find a pair of parallel sides in ABCD. If two of its sides are parallel to each other then ABCD is a trapezoid.

Step 1: With the given points, sketch a graph. The diagram is attached to this response.

Step 2: As shown in the diagram, the two sides that are likely to be parallel are AB and CD

If these two sides have same gradient/slope, then the quadrilateral is a trapezoid.

Now calculate the slopes of those sides using the slope formula;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Calculate the slope of AB (where x₁ = 8, y₁ = 21, x₂ = 10, y₂ = 27)

m(AB) = [tex]\frac{27-21}{10-8}[/tex]

m(AB) = [tex]\frac{6}{2}[/tex]

m(AB) = 3

Calculate the slope of CD (where x₁ = 26, y₁ = 26, x₂ = 18, y₂ = 2)

m(CD) = [tex]\frac{2-26}{18-26}[/tex]

m(CD) = [tex]\frac{-24}{-8}[/tex]

m(CD) = 3

Since the two slopes - m(AB) and m(CD) slopes are equal to 3, the quadrilateral ABCD is a trapezoid.

Answer:

Hello! answer: 36

Step-by-step explanation:

6 × 7 = 42 3 × 2 = 6 42 - 6 = 36 therefore the area is 36 hope that helps!

Answer:

40cm^2

perimeter:24cm

Step-by-step explanation:

Area: First of all, you can see that the missing height of the shape is 3cm. By adding 4 and 3, you get 7. Then, by multiplying 7 and the length of the shape (6cm), you get 42cm^2. After that, you have to multiply 2cm and 3cm to get the blank area in the bottom right corner to get 6cm^2. Finally, you can subtract 42cm^2(the whole area) by 6cm^2 (the blank area) to get 40cm^2.

Perimeter: Okay! To get the first missing measurement (the one on the left), you have to imagine 4cm being moved to that side. 3cm is parallel to the missing blank space under the 4cm. This means you have to get 7cm (you add 4 and 3). To get the other missing measurement (bottom of the shape) you must see that 6cm would be parallel to the bottom. Since 2cm is also parallel to the bottom, you would have to subtract 2 from 6 to get the bottom of the shape's length, which is 4. Finally, you would have to add 6, 4, 3, 2, 4 and 7 together to get 24cm.

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

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

solution is (3, - 1 )

Answer:

y=-3x

Step-by-step explanation:

Answer:

85° and 95°

Step-by-step explanation:

Given that , x and x + 10 are a pair of angles .

=> x + x + 10° = 180°

=> 2x = 180° -10°

=> 2x = 170°

=> x = 170°/2

=> x = 85° .

Answer:

X = -2 or X = 8

Explanation:

Answer:

96% percent and fraction is 24/25

Answer: Down below

Step-by-step explanation:

64 % = 16 / 25

21 / 50 = 0. 42

9 / 25 = 36 %

2 / 5 = 40 %

/ = divide okay

Answer:

wut language is this

Step-by-step explanation:

Answer:

Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90

Answer:

4

Step-by-step explanation:

This equation is in the form y = mx + b

In all cases, m equals the slope

So in this case, the slope would be 4.

Answer:

it's between BCF/DCA and BCF/BCA

Answer:

173.17 ft²

Step-by-step explanation:

Use the area of sector formula to help:

area of sector = x°/360 ·πr²

27.93 = 50/360·π(x)²

x= 8.00068

plug back in

360-50/360·π(8.00068)² = 173.1661 =

173.17ft²

Answer:

3 :5

Step-by-step explanation:

A deli orders ham and turkey.

The ratio of the number of ham slices to the number of turkey slices is 2:3.

Hence:

Ham slices: Turkey slices

2:3

Sum of proportion = 2 + 3 = 5

Ratio of turkey slices = 3

Ratio of the total of ham and turkey slices = sum of proportion = 5

Therefore, the ratio of the number of turkey slices to the total of ham and turkey slices is

3:5

Answer:

It's asking you to find the inputs of the function.

Step-by-step explanation:

Basically, when you input something, you replace "x" in the equation with the number you want to input. For example, if I had the equation: 5x/6+5, then I wanted to input "5", then 5 would replace x in the equation, making 5(5)/6+5. The output they are giving you is simply evaluating the equation that you used to input x, so basically in the case I gave you, the output would be 5(5)/6+5, or 25/6+5, and 55/6. Using the outputs, they want you to find the inputs.

Answer:

72

Step-by-step explanation:

volume = l x w x h

4 x 3 x 6

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To know more about fraction here

https://brainly.com/question/30154928

#SPJ2

Answer:

38.47 Hope this helps. Thats how much she has left.

Answer:

B // y-intercept = 4

R // y-intercept = 2

P // y-intercept = 0

Step-by-step explanation:

Answer:

The answer is 5.66

Step-by-step explanation:

let the missing side be x

9² = 7² + x²

9² - 7² = x²

x² = 9² - 7²

x² = 81 - 49

x² = 32

x = √32

x = 5.66

Answer:

8              Percent is: 32%

----

25

Step-by-step explanation:

Answer:

Yes; 86,405.

Step-by-step explanation:

If the last digit of a number is 0, then it is divisible by 10.

[tex]864,050/10 = 86,405.[/tex]