Find the area of the following trapezoid.
14
7
5

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

[tex] \tan(45) = \frac{x}{13} \\ 1 = \frac{x}{13} \\ x = 13[/tex]

[tex] \cos(45) = \frac{13}{y} \\ 2 \sqrt{2} = \frac{13}{y} \\ 2y \sqrt{2} = 13 \\ y = \frac{13}{2 \sqrt{2} } [/tex]

The question is incomplete. The complete question is :

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?

Solution :

Given data :

Weight of the crate = 40 kg

Greatest weight that the container can load = 23000 kg

Weight of the other shipments on the container = 7800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

7800 + (40 x c) ≤ 23000

7800 + 40c ≤ 23000

40c ≤ 23000 - 7800

40c ≤ 15200

c ≤ 380

Hence, the maximum number of 40 kg crate is 380.

Answer:

D i did the test and got a 100

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

Okay so the sum of the angles inside this figure is

(6-2)*180=4*180=720

now, we can find 4 of the interior angles becuase they are supplementry.

180-54=126

180-51=129

There are two of each so we can just do 2(126)+2(129)=252+258=510

That means the two remaining angles that are supplementary to x equal to 510. they are equal, so we know the interior angles equal 720-510=210/2=105

Since the angles are supplementary, x=180-105=75

BTW: Supplementary angles are angles that equal to 180 degrees.

Answer:

A.

2 72 square root of 7

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Exact Form:

2

7

Decimal Form:

0.

¯¯¯¯¯¯¯¯¯¯¯¯

285714

Simplify the expression.

Exact Form:

2

√

7

Decimal Form:

5.29150262

…

Answer:

Slope is 2

Step-by-step explanation:

(-2, -4) and (2, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(2+2)

m=8/4

m = 2

Answer:

Step-by-step explanation:

Answer:

[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4} <\frac{1}{6}[/tex]

[tex]\frac{5}{10}<\frac{3}{6}[/tex]

[tex]\frac{1}{2}>\frac{1}{3}[/tex]

[tex]\frac{4}{8}>\frac{2}{6}[/tex]

[tex]\frac{3}{5}>\frac{4}{5}[/tex]

Required

Select the unit fractions

If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. [tex]\frac{1}{2}[/tex] and not as an inequality i.e. [tex]\frac{3}{5}>\frac{4}{5}[/tex]

Given the format of the question, what is required of the question is to select all correct inequality.

[tex](a)[/tex] [tex]\frac{1}{4} <\frac{1}{6}[/tex]

Convert to decimals

[tex]0.25 < 0.167[/tex] ---- This is not true because [tex]0.25 > 0.167[/tex]

[tex](b)[/tex] [tex]\frac{5}{10}<\frac{3}{6}[/tex]

Convert to decimals

[tex]0.5 < 0.5[/tex] ---- This is not true because [tex]0.5 = 0.5[/tex]

[tex](c)[/tex] [tex]\frac{1}{2}>\frac{1}{3}[/tex]

Convert to decimals

[tex]0.5 > 0.33[/tex] ---- This is true

[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]

Convert to decimals

[tex]0.5 > 0.33[/tex] ---- This is true

[tex](e)[/tex] [tex]\frac{3}{5}>\frac{4}{5}[/tex]

[tex]0.6 > 0.8[/tex] --- This is not true because [tex]0.6 < 0.8[/tex]

So: the true inequality is:

[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]

Answer:

y = -[tex]\frac{5}{3}[/tex] x -2

Step-by-step explanation:

The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3

Answer: 90% of students did NOT choose history.

Step-by-step explanation:

Art - 32.5%

Spanish - 7.5%

ELA - 10%

Math - 15%

Science - 25%

When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.

Hope This Helped, Have A Great Day!

Answer:

3

Step-by-step explanation:

slopes in parallel are equal

Answer:

B

Step-by-step explanation:

since 5 is constant so you can take it out from the summation

Answer:

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Answer:

88m of fencing

Step-by-step explanation:

the cicumference of the garden is what we are looking out for,

and with the raduis .ie.14m

C=2πr

C=2•22/7•14

C=88m

Answer:

-4

Step-by-step explanation:

y = mx + b

Answer:

-4

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

So you line y=mx+b and y=-4x-8

-4 is replacing m so -4 is the slope

Hope this helps!

Answer:

Step-by-step explanation:

The two lengths of the rectangle ABCD will be 12 and 24

It is given that

The perimeter of the rectangle

P=72 units

The ratio of the length

[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]

Now from the formula of the perimeter of the rectangle

[tex]P= 2(a+b)[/tex]

[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]

[tex]b=2a[/tex]

[tex]2(a+2a)=72[/tex]

[tex]6a=72[/tex]

[tex]a=12[/tex]

[tex]b=2\times 12=24[/tex]

Thus the two lengths of the rectangle ABCD will be 12 and 24

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Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Answer:

(-2,-1)

Step-by-step explanation:

Given

[tex]Q =(-4,1)[/tex]

[tex]R = (-4,4)[/tex]

[tex]S = (2,1)[/tex]

180 degrees rotation

Required

Determine the coordinate point S'

For a 180-degree rotation, the transformation rule is: (x, y) to (-x, -y)

So:

[tex]S = (2,1)[/tex] ==> [tex]S' = (-2,-1)[/tex]

Hence, the coordinate point of S' is (-2,-1)

Answer:

1,-2 did it right

Step-by-step explanation:

Answer:

multiply its height by its width or  use this: Area of a trapezoid is found with the formula, A=(a+b)/2 x h. aka base plus base times the height

Step-by-step explanation:

Answer:

y = 11

x = 11 root 3

[tex]x = 11\sqrt{3} [/tex]

[tex]y = 11[/tex]

Step-by-step explanation:

Cos 60 =

[tex] \frac{y}{22} \\ 0.5 = \frac{y}{22} \\ 0.5 \times 22 = y \\ 11 = y[/tex]

[tex]for x \\ \sin(60) = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} \times 22 = x \\ 11 \sqrt{3 } = x[/tex]

Answer:

y = 11

x = 11 root \3

Step-by-step explanation:

The correct answer will be option (3) Median > Mean

The steps are as follow:

[tex]x \: = \frac{4 + 8 + 5 + 12 + 3 + 9 + 5 + 2}{8} \\ x = 6[/tex]

[tex][tex]m = \frac{ { (\frac{n}{2}) }^{th} obs + ( { \frac{n}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (\frac{8}{2}) }^{th} obs + ( { \frac{8}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (4) }^{th} obs + ( { 5)}^{th} obs }{2} \\ m= \frac{ { 5} + 5}{2} \\ m = 5[/tex][/tex]

So the correct answer will be option (3) Median > Mean

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Answer:

Area of the trapezoid = 90 square feet

Step-by-step explanation:

Area of a trapezoid with bases b₁, b₂ and height h is given by the formula,

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

By substituting the given values in the formula,

                   Area = [tex]\frac{1}{2}(6+9)12[/tex]

                            = [tex]\frac{180}{2}[/tex]

                            = 90 square feet

Therefore, area of the trapezoid = 90 square feet

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

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Answer:

The answer is A.

Step-by-step explanation:

First, you have to solve the inequality :

[tex]4 - 3x < - 2[/tex]

[tex] - 3x < - 2 - 4[/tex]

[tex] - 3x < - 6[/tex]

[tex]x > - 6 \div - 3[/tex]

[tex]x > 2[/tex]

Therefore, x > 2, so only option A is suitable for the x values.