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The area of the given trapezoid is 60 square inches.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by adding the base lengths and multiplying it with the trapezoid's height and [tex]\frac{1}{2} .[/tex]

The trapezoid's area, [tex]A = (sum of the lengths)(\frac{height}{2})[/tex]

Here the sum of the base lengths is given as 15 inches.

Step 2:

In the given problem, the sum of the base lengths is 15 inches and the height of the trapezoid is 8 inches.

The trapezoid's area [tex]A = (15)(\frac{8}{2} )= (15)(4) = 60.[/tex]

So the area of the given trapezoid is 60 square inches.

Answer:

tossing two coins once

Step-by-step explanation:

i calculated.oh and my battery's About to die and i need to write the equation so if it cuts something off, it died.Ok so since it goes two ways and has headS And tai

Answer:

it's 5

Step-by-step explanation:

[tex]2 + 3 = 5[/tex]

5

Step-by-step explanation:

2 + 3 = 5

Total of answer is 5

Answer:

C

Step-by-step explanation:

18x - 24 = 2 [length + 2x - 9]

9x - 12 = length + 2x - 9

Length = 7x - 3

Answer:

C: 7x - 3

Step-by-step explanation:

The perimeter of a rectangle is  given by

P = 2(l+w) where l is the length and w is the width

We know the perimeter is 18x -24 and the width is 2x-9.  Substituting these values into the equation

18x-24 = 2( l+2x-9)

Divide each side by 2

(18x-24)/2 = 2/2( l+2x-9)

9x-12 = l+2x-9

Add 9 to each side

9x-12 +9 = l+2x-9+9

9x -3 = l+2x

Subtract 2x from each side

9x-2x-3 = l+2x-2x

7x -3 = l

The length is 7x-3

Step-by-step explanation:

The centroid divides the length of each median in 2:1 ratio.

The length of the part between the vertex and the centroid is twice the length between the centroid and the mid-point of the opposite side.

When CD is the median, C is the vertex and D is the midpoint of AE.

CG = 2 × DG

6.5= 2(3x- 11)

6.5 = 6x -22

6x= 6.5+22

6x= 28.5

x= 28.5/6

x= 4.75

optionB

The solution to the system of equations are (2, 5).

Solution:

The system of equations are

x + y = 7 – – – – (1)

2x – y = –1 – – – – (2)

To find x from equation (1):

x + y = 7

Subtract y from both sides of the equation, we get

⇒ x + y – y = 7 – y

⇒ x = 7 – y – – – (3)

Substitute (3) in (2) we get,

2(7 – y) – y = –1

14 – 2y – y = –1

14 – 3y = –1

Subtract 14 from both sides,

–3y = –15

Divide by –5 on both sides,

y = 5

Substitute y = 5 in equation (3)

x = 7 – 5

x = 2

The solution to the system of equations are (2, 5).

Answer:

-(11 / 2x + 3) + (11x / 2) + 5

Step-by-step explanation:

I hope this helps!

Answer: answer is -16

Step-by-step explanation:

Substitute the values of x and y into the equation to give

(3 + (-5)) (3-(-5))

(3-5) (3+5)

(-2) (8)

-16

Answer:

C. Supplementary angles

Step-by-step explanation:

Supplementary angles add up to 180 degrees, making a straight line.

Answer:

Adjacent and Supplementary

Step-by-step explanation:

Adjacent: having a common vertex and a common side.

Supplementary: When two angles add up to 180 degrees.

Answer:

51

Step-by-step explanation:

tan(z) = 10/8

z = (tan^-1)(1.25)

z = 51.3401917459

Answer:

D) 51

Step-by-step explanation:

Form an equation to find z:

tan(z)=10/8

tan^-1(tan(z))=tan^-1(10/8)

z=51.34

So the correct choice is D

Step-by-step explanation:

[tex]radius = 9[/tex]

[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]

[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]

[tex]putting \: the \: values[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]

[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]

Answer:

27π square units

Step-by-step explanation:

Note that a central angle of 120° is exactly 1/3 of a full circle.

So to find the area of this sector, find the area of the whole circle and divide your result by 3:

A = (1/3)π(9)^2 = 27π square units

The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.

Step-by-step explanation:

Step 1:

In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.

According to the Pythagorean theorem,

[tex]a^{2}+b^{2}=c^{2}[/tex], where c is the length of the hypotenuse while a and b are the lengths of the other two sides.

Step 2:

For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).

[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]x^{2}+8^{2}=10^{2}[/tex], [tex]x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }[/tex].

So the distance between the floor and the ladder's top is 6 feet.

Step 3:

For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).

[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]y^{2}+4^{2}=10^{2}[/tex], [tex]y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }[/tex].

So the distance between the floor and the ladder's top is 9.1651 feet.

Step 4:

The difference in heights = The wall height in figure 2 - the wall height in figure 1.

The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.

Rounding this off to the nearest tenth of a foot, we get 3.2 feet.

Answer: the answer is 3.2 when rounded

Step-by-step explanation:

if you want the explanation look at the one above

Answer:

0.8944

Step-by-step explanation:

Use a calculator or table.

Using a z-score table:

P(z < 1.25) = 0.8944

Answer:

x² - 16 = 0

Also,

|x| = 4

Step-by-step explanation:

(x-4)(x+4) = 0

x² - 16 = 0

|x| = 4

x = 4, -4

Y=X-10

Step-by-step explanation:

Step 1:

Let X be the input and Y be the output variable

Given:  The output is 10 less than the input

Step 2:

Y=X-10 be the require function

Eg:

for X=1, Y = -9

     X=2, Y=-8, etc

Answer:

b

Step-by-step explanation:

100 dollars  month

100

plus

100+

0.15 per text

100+15t

A) S, Q, and B

Hope that help you!

Answer:

S, Q and B

Step-by-step explanation:

Those are the angles.

the 6 is the 6  x's that is in the diagram

Answer:

The 6 is the 6x

Step-by-step explanation:

EQUATION: 25=2+6x, in the diagram there are 7 total boxes, one with a 2 in it, and the other 6 have x's.

Yo sup??

let the number of pencils and pens be 8x and 14x

x=2

therefore the number of pens and pencils are

16 pencils and 28 pens

Hope this helps

As the actual no. of pencils is double than that of the given ratio it is

C. 16 pens, 28 pencils

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The ratio of pencils to pens in the drawer is 8 : 14, so for every 14 pencils, there are 8 pens.

Given, there are actually twice as many pencils as in the ratio.

Therefore actual no. of pencils are (2×14) = 28 pencils.

learn more about proportion here :

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Answer:pineapple juice

Step-by-step explanation:

Perimeter is the sum of the 4 sides.

4+ 4 + 10 + 10 = 28 km

Answer:2 horizontal sides will equal 10 and The 2 Vertical side will equal 4. So add all them together to get 28.

Step-by-step explanation:Perimeter means the outside of Area so u can add all the numbers instead of mutiplying.

Answer:

3x 5

Step-by-step explanation:

Answer: 96 ordered pair form : (9, 6)

Step-by-step explanation:

x + y = 15

1x + 1y = 15

-1x

y = 15 - 1x (we did this so that it can be the in y=mx format)

3y = 2x (substitute the y for the solution above)

3 ( 15 - 1x ) = 2x

45 - 3x = 2x

+3x +3x

45 = 5x (divide 5 on both sides)

45/5 = 9 ; x = 9

now go back to the first equation and substitute the x for 9

y = 15 - 1(9)

y = 15 - 9

y = 6

hope this helped :)

Answer:

Approximately 124.327586

Step-by-step explanation:

Hope this helped.

Answer:

124.3275862068966

Step-by-step explanation:

I put it in my calculator

Answer: Kite

Step-by-step explanation:

Answer:

6x - 1

Step-by-step explanation:

Okay this is basically polynomial algebra:

1. Add the value of the lengths already given.

like terms: 3x + x = 4x, -4 + 2 = -2. Now you're left with, 4x - 2.

2. Find the difference between the perimeter and the sum of the lengths.

(10x -3) + (4x + 2) = 6x - 1

The square root of 1000 is between 28 and 32. so option D is correct.

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.

That means, we've got:

[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1[/tex]

Perfect square are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

We need to find the square root of 1000

So, the square root of 1000 is 31.6227766017

[tex]\sqrt{1000} = 31.622[/tex]

Thus, The square root of 1000 is between 28 and 32. so option D is correct.

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The square root of 1000 lies between 28 and 32, so the correct answer matches option D.

To determine the square root of 1000, we need to find two consecutive integers between which this value lies. We know that:

The square root of 900 (which is 30²) is 30.

The square root of 1024 (which is 32²) is 32.

Therefore, the square root of 1000 lies between 30 and 32.

This matches option D which states between 28 and 32.

I've attached the picture you need below. 1 3/4 is equal to 1 6/8 as well, so that is why the first one is placed over there.

Answer:

joja90 did it all theres no point explaining anything now lol

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

The probability that the result is a multiple of 2 and a multiple of 3 is 1/9.

A fidget spinner is a toy that consists of a ball bearing in the center of a multi-lobed flat structure made from metal or plastic designed to spin along its axis with pressure.

Here,

Multiples of 3(3,6)

Multiples of 2(2,4,6,8)

Intersection (6)

Favorable outcome: 1

Total outcome: 9

The probability: 1/9

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