A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

[tex]option \: \: c \: \: \: \frac{3}{4} \: is \: the \: correct \: option[/tex]

Rational numbers are numbers which can be represent in the form of p/q where p and q are integers and q≠0 that's why 3/4 is the correct option

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

[tex]\frac{(a+b)*h}{2}\\\\[/tex]  = 120

[tex]\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120[/tex]

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

Answer:

8.94~9.0

Step-by-step explanation:

If A squared plus B squared equals C squared. Then you can used this formula and find that 4 squared plus 8 squared equals 80. then square root 80 to find 8.94 or rounded to 9. This would equal C or the hypotenuse. Hope this helps!

The required length of the hypotenuse of the triangle is 16√5.

Given that,
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse is to be determined.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.

Here,
Applying the Pythagorean theorem,
Hypotenuse²  = perpendicula² + base²
Hypotenuse²  = 8² + 4²
Hypotenuse²  = 64 + 16
Hypotenuse²  = 80
Hypotenuse  = √80
Hypotenuse  =  16√5

Thus, the required length of the hypotenuse of the triangle is 16√5.

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Answer:

SSS postulate

Step-by-step explanation:

its probab;py wrong im sorry

Answer:

SSS Postulate

Step-by-step explanation:

Since both triangles have 3 congruent sides, then

The triangles are congruent by the SSS postulate

Answer:

the distributive property. or distribution

hope this helps! :)

Answer:

−5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9

Add 1 to all sides

−6+1 < x − 1+1 < 9+1

−5 < x < 10

Answer:

B

Step-by-step explanation:

Add one to everything

-5 < x < 10

Best of Luck!

Answer:

Solution : Degree 4

Step-by-step explanation:

We only have one variable in this case, x. Therefore we can take the degree of this variable to be our solution, 4. As you can see x^4 will have a degree of 4, as that is the exponent present.

Answer:

VERTICALLY OPP ANGLES

Step-by-step explanation:

Mukat gets 40, Usha gets 8

Step-by-step explanation:

Mukat = 5 × Usha

After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)

Then Mukat = final number of books for Usha

5 × Usha - 16 = Usha + 16

(5 × Usha ) - Usha = 16+16

4 × Usha = 32

Usha = 8 i.e her number of books.

Mukat = 5×8=40.

I HOPE IT'S OK

Answer:

Option A

Step-by-step explanation:

Dont let  the sample of 500 teachers fool you the 500 teachers opinion is on their students standardized testing experience. In this case the students are the test subjects(population).

Answer:

They purchased 14 adult tickets and 4 kids tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars.

The number of adults tickets that were sold for the movie will be 14 tickets.

The equation to solve the question will be:

a + s = 18 .......... i

5a + 3s = 82 ......... ii

Form equation i, s = 18 - a

5a + 3s = 82

5a + 3(18 - a) = 82

5a + 54 - 3a = 82

Collect like terms

5a - 3a = 82 - 54

2a = 28.

a = 28/2

a = 14

Therefore, s will be:

s = 18 - a = 18 - 14 = 4

The number of adults ticket is 14

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Answer:

150cm²

Step-by-step explanation:

area of trapezium=1/2h(a+b)

=1/2×20(7+8)

=10(15)

=150 cm²

Answer:

The area of the trapezium is

Step-by-step explanation:

The area of a trapezium is given by

where

h is the height

a and b are the parallel sides of the trapezium

From the question

h = 20cm

a = 7cm

b = 8 cm

Substitute the values into the above formula

We have

We have the final answer as

Hope this helps you

Answer:

the slope is 60

Step-by-step explanation:

the slope is the number multiplying the x value, or t in this case.

Answer:

The slope is 60, and create the graph by dragging one point to (0,0) and one point to (1,60).

Step-by-step explanation:

If we have the proportional relationship [tex]d=60t[/tex], then the slope will be what we multiply t by to get d, therefore the slope is 60.

Since there is no y-intercept, the line WILL pass through the origin (0,0), so a point goes there.

If we make t 1, then d will be at point (1,60) because  [tex]60\cdot1=60[/tex].

Hope this helped!

70% - Rounded Answer

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  [tex]0.2392 < p < 0.3108[/tex]

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  [tex]n = 432 + 164 =596[/tex]

   The  number of  offspring that is yellow peas is [tex]y = 432[/tex]

   The  number of  offspring that is green peas   is [tex]g = 164[/tex]

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        [tex]\r p = \frac{ 164 }{596}[/tex]

        [tex]\r p = 0.275[/tex]

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       [tex]\alpha = (100 - 95)\%[/tex]

      [tex]\alpha = 5\% = 0.0 5[/tex]

The  critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is  

      [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically evaluated as

        [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }[/tex]

=>      [tex]E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }[/tex]

=>      [tex]E = 0.0358[/tex]

The  95%  confidence interval is mathematically represented as

      [tex]\r p - E < p < \r p + E[/tex]

=>   [tex]0.275 - 0.0358 < p < 0.275 + 0.0358[/tex]

=>   [tex]0.2392 < p < 0.3108[/tex]

Answer:

(-4,-6)

Step-by-step explanation:

3x-4y=12

5x-2y=-8

multiply #2 by "-2"

3x-4y=12

-10x-4y=16

add two equations

-7 x = 28

x= -4

plug in -4 to equation (1 or 2)

-12 - 4y = 12

-4y = 24

y = -6

(-4,-6)

Answer:

x = -4.

y = -6.

Step-by-step explanation:

3x-4y=12

5x-2y=-8       Multiply this equation by 2:

10x-4y = -16    Subtract this from the first equation:

-7x  = 28

x = -4

Substitute thin in equation 2:

3*(-4)  - 4y = 12

-12 - 4y = 12

-4y = 24

y = -6.

Answer:

$153

Step-by-step explanation:

Divide by 100-sale%

102/.66666=

$153

Check: 153x.666666=102 YES

Answer:

the original price is 153

Step-by-step explanation:

leather jacket is 102 sale price

the sale is 1/3 of original price

the original price=1/2 its price=sale price

x-1/3x=102

2/3 x=102

2x=306

x=306/2

x=153 dollars

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

~ an aesthetics lover

Answer:

232 cars entered between 8 and 9

Step-by-step explanation:

at 9 am there are 64 x 5 vehicles total = 320

320 - 64 - 24 = 232

Answer:

The '=' sign.

Step-by-step explanation:

The equals sign ( = ). for example:

3x + 1 = 8.

The  equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.

[tex]\\ \sf\longmapsto t+\dfrac{1}{2}b=Y[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}b=Y-t[/tex]

[tex]\\ \sf\longmapsto \dfrac{b}{2}=Y-t[/tex]

[tex]\\ \sf\longmapsto b=2(Y-t)[/tex]

[tex]\\ \sf\longmapsto b=2Y-2t[/tex]

Answer:

Step-by-step explanation:

a + 45 + 70 = 180             45 becomes an interior angle by being opposite a given vertically opposite angle.

a + 115 = 180                      Subtract 115 from both sides

a = 65

b + 68 + 65 = 180            A straight line is 180 degrees.

b +  133 = 180

b = 180 - 133

b = 47

In the triangle b + c + 100 = 180

b = 47

47 + c + 100 = 180

147 + c = 180

c = 33

If C is an exterior angle then C + 33 = 180

C = 147

You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).

Answer:

[tex]x=-\frac{11}{8}[/tex]

Step-by-step explanation:

Hi there!

[tex](x - 4) - (x + 7) = 8x[/tex]

Open up the parentheses

[tex]x - 4 - x - 7 = 8x[/tex]

Combine like terms

[tex]x -x - 4 - 7 = 8x\\-4-7=8x\\-11=8x[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]

[tex]-\frac{11}{8}=x[/tex]

I hope this helps!

Answer:

1:25

Step-by-step explanation:

Given

Dimensions of swimming pool:

Dimensions on paper:

Scale is the ratio of same measurements:

So the scale is 1:25

Answer:

y * ( 6*5)

Step-by-step explanation:

(y x 6) x 5

We can change the order of multiplication by changing where the parentheses are placed using the associative property

y * ( 6*5)

Answer:

The answer will be Y*(6*5)

Step-by-step explanation:

this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5

Answer:

4

Step-by-step explanation:

Im assuming you mean the first and second equation equal each other:

3x+2=2x+6

x=4

Answer:

I think No

Explanation:

We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent.

No, if two polygons are similar, it does not necessarily mean that they are congruent.

We have,

Similar polygons have the same shape but can have different sizes. This means that their corresponding angles are equal, and the ratios of their corresponding side lengths are equal.

However, the lengths of the sides themselves may be different.

On the other hand, congruent polygons have both the same shape and the same size.

This means that all corresponding angles and side lengths are equal.

So, while all congruent polygons are similar, not all similar polygons are congruent.

Similar polygons can be scaled versions of each other, but they can have different sizes.

Thus,

No, if two polygons are similar, it does not necessarily mean that they are congruent.

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Answer:

4:7

Step-by-step explanation:

4 grape candies : 7 total candies (grape + cherry)

Answer:

It is simply 4:3

Answer:

D. 16 years old

Step-by-step explanation:

Step 1: Let T be Tien's age and J as Jordan's age (today),

[tex]T=\frac{1}{4}J[/tex]

Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),

[tex]T+2=\frac{1}{3} (J+2)[/tex]

[tex]T=\frac{1}{3}(J+2)-2[/tex]

Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]

Answer:

please mark my answer brainliest

Step-by-step explanation:

10q (1-3)