find area of trapezoid ​

Answer:

Leona ordered 19 boxes of pens and 5 rubber bands

Step-by-step explanation:

Let there are p pen and b rubber bands.

ATQ,

p+b = 24 ...(1)

and

10p+4b = 210 ...(2)

Multiply equation (1) by 10.

10p+10b = 240 ...(3)

Subtract equation (2) from (3).

10p+10b-(10p+4b ) = 240-210

6b = 30

b = 5

Put the value of b in equation (1).

p+5 = 24

p = 19

Hence, Leona ordered 19 boxes of pens and 5 rubber bands.

Step-by-step explanation:

(0,-3) and (1,0) this are the point

Answer:

he depends on the 12th week because he ran more miles

Step-by-step explanation:

8<10<13<17

Answer:

x = 63.5 degrees

Step-by-step explanation:

use sine:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine x = [tex]\frac{17}{19}[/tex]

sine x = 0.8947

sine-1 of 0.8947 = 63.4699

x = 63.4699

round to the nearest tenth:

x = 63.5

Answer:

NO. B is the answer

Step-by-step explanation:

because there are two of the same x values, causing there to not form a straight line.

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Answer:

6 miles

Step-by-step explanation:

1.5miles multipled by 4stops is 6

Answer:

108

Step-by-step explanation:

Answer:

x=5.5, -5.5

you can use a calculator too

Step-by-step explanation:

a.) the given term can be written as

=

[tex] \sqrt{3} \times \sqrt{3 \times 2} [/tex]

=

[tex] \sqrt{3 \times 3 \times 2} [/tex]

=

[tex]3 \sqrt{2} [/tex]

hence the given term is

[tex]3 \sqrt{2} [/tex]

where b = 3

b.)

=

[tex] \sqrt{8} \times \sqrt{18} [/tex]

=

[tex] \sqrt{2 \times 2 \times 2} \times \sqrt{2 \times 3 \times 3} [/tex]

=

[tex] \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3} [/tex]

=

[tex]12[/tex]

hence the given term is 12

Answer:

z = 124 degrees

Step-by-step explanation:

If it is a parallelogram, opposite angles are congruent. So, z = 124 degrees

Answer:

opposite angles are equal so z=124°

Answer:

16 (well, more like 15.99)

Step-by-step explanation:

[tex] \sqrt{((200.96 \times 4) \div 3.14)} [/tex]

Answer:

See below.

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

Answer:

the green kin quadrant IV

Step-by-step explanation:

i took the quiz and got it right

Point k is reflected across the y-axis to create point k'.

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.

The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.

From the graph, we can see that point k has a negative x-coordinate, so option A is wrong. Also, point K is located in quadrant II, not in quadrant IV

Point K is not reflected across the x-axis to create K'. For reflection across the x-axis to occur, the point (x,y) across the x-axis will change to (x, -y).

Point K is reflected across the y-axis to create point K'. We can see from the graph that the reflection of the point (x,y) across the y-axis is the point (-x, y)

To know more about reflection follow

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Step-by-step explanation:

the answer is B. lines 1 and 3 are perpendicular

Answer:

y = 10x + 75 If not then

X = 10y + 75

Step-by-step explanation:

Answer:

The average distance between Earth and Pluto is same as average distance of Pluto from the Sun. This is 0.000628 light years, nearly.

Explanation:

The average distance obetween two planets is nearly the average distance of the outer planet from the Sun. Earth is inner to Pluto. Average Sun-Pluto distance = 5906.4 million km. Divide by 149597870 to get distance in Au. Further divide by 62900 to get distance in ly.

Answer:

[tex]Area=\frac{ab}{2} \\\\area=\frac{9.5.23}{2} \\\\answer=108.8 yd^{2}[/tex]

Step-by-step explanation:

I hope this helps ^_^

The area of the triangle is 108.7 square yards.

Let a, b, and c is the sides of the triangle.

The area of the triangle is given as

S = (a + b + c) / 2

[tex]\rm A = \sqrt{s(s - a)(s - b)(s -c )}[/tex]

The third side of the triangle will be

c² = a² + b² - 2ab cos θ

c² = 9.5² + 23² - 2 × 9.5 × 23 × cos 85°

c² = 619.25 - 38.09

c² = 581.16

 c = 24.11 yd

Then the area of the triangle will be

S = (9.5 + 23 + 24.11) / 2

S = 56.61 / 2

S = 28.3

Then the area will be

[tex]\rm A = \sqrt{28.3(28.3 - 24.11)(28.3 - 23)(28.3 - 9.5)}[/tex]

Simplify the expression, then the value will be

A = √11815.01

A = 108.7 square yd

The area of the triangle is 108.7 square yards.

More about the area of the triangle link is given below.

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Answer:

Step-by-step explanation:

Given the length and width of a square to be 12

If the of the square is dilated by a factor of 1, this means that the value will be multiplied by 1 as shown;

New width = Old width * 1

New Width = 12 * 1

New width = 12

Hence the width of the new image will also be 12

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

Answer:

She can ride 12 rides i think if not let me know!

Step-by-step explanation:

32 - 8 then 24 divided by 2

Answer:

Number A.

Step-by-step explanation:

i just did this one lol

The system of equations that describes the problem situation is y=250+0.12x and y=475+0.08x. The correct option is D.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that The first store will pay her a weekly salary of $250 plus a commission of 12% of her sales. Therefore, the equation can be written as,

Total earning = Weekly salary + 12% of weekly sales

y = 250 + 0.12x

Also, The second store will pay her a weekly salary of $475 plus an 8% commission. Therefore, the equation can be written as,

Total earning = Weekly salary + 8% of weekly sales

y = 475 + 0.08x

Hence, the system of equations that describes the problem situation is y=250+0.12x and y=475+0.08x.

Learn more about Percentages here:

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Step-by-step explanation:

hope it helps you

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Answer:

Hi! Your answer is 14 = 2

Step-by-step explanation:

Evaluate

Answer: 20 cups

Step-by-step explanation:

Question would like to know the number of cups that Jada poured juice into.

If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:

= Total juice poured / Quantity per cup

= 9 litres/ 0.45 litres per cup

= 20 cups

Given:

The given equation is

[tex]2x^3-3x^2+18x-27=0[/tex]

To find:

All the real solutions.

Solution:

We have,

[tex]2x^3-3x^2+18x-27=0[/tex]

It can be written as

[tex]x^2(2x-3)+9(2x-3)=0[/tex]

[tex](2x-3)(x^2+9)=0[/tex]

Using zero product property, we get

[tex](2x-3)=0[/tex] and [tex](x^2+9)=0[/tex]

[tex]2x=3[/tex] and [tex]x^2=-9[/tex]

[tex]x=\dfrac{3}{2}[/tex] and [tex]x=\pm\sqrt{-9}[/tex]

We know that [tex]x=\pm\sqrt{-9}[/tex] is an imaginary number because there is a negative sign under the square root.

Therefore, [tex]x=\dfrac{3}{2}[/tex] is the only real solution of the given equation.