A gift box is in the shape of a trapezoidal prism with base lengths of7 inches and 5 inches and a height of 4 inches. The height of the gift box is 8 inches. What is the volume of the gift box?

Answer:

B

Step-by-step explanation:

To calculate the area of this triangle we can use the Heron’s formula

Mathematically we have the Heron’s formula as;

A = √s(s-a)(s-b)(s-c)

where s = (a + b + c)/2

Thus, s = (15 + 12+ 10)/2 = 18.5

a = 15, b = 12 and c = 10

Plugging these values into the equation, we have

√18.5(18.5-15)(18.5-12)(18.5-10)

= √18.5(3.5)(6.5)(8.5)

= √ 3,577.4375

A = 59.8116

which is approximately 59.8 square units

Answer:

we are going to use BODMAS

7.(2+18) -14

is also 7×(2+18) -14

since B representing bracket comes first,

we add the numbers in the bracket.

2+18=20

7×(20) -14

then M representing multiplication comes next do we multiply.

7×20=140

140-14=126

that's it!

Answer:

21

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

-11=x/-1

x=-11×-1

x=11

Answer:

false

Step-by-step explanation:

4 x (2) = 8

Answer:

False

Step-by-step explanation:

What you need to do is plug 2 in for g.

4g=32

4(2)=32

8=32

This is incorrect, so it is false.

Answer:

[tex]=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]

Step-by-step explanation:

[tex]\frac{x^4+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{x^4+2x^2+1}{x+1}:\quad \frac{x^4+2x^2+1}{x+1}=x^3+\frac{-x^3+2x^2+1}{x+1}\\=x^3+\frac{-x^3+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{-x^3+2x^2+1}{x+1}:\quad \frac{-x^3+2x^2+1}{x+1}=-x^2+\frac{3x^2+1}{x+1}\\=x^3-x^2+\frac{3x^2+1}{x+1}\\\mathrm{Divide}\:\frac{3x^2+1}{x+1}:\quad \frac{3x^2+1}{x+1}=3x+\frac{-3x+1}{x+1}\\=x^3-x^2+3x+\frac{-3x+1}{x+1}\\\mathrm{Divide}\:\frac{-3x+1}{x+1}:\quad \frac{-3x+1}{x+1}=-3+\frac{4}{x+1}\\=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]

Answer:

3/8 = 9/24 ; 1/3 = 8/24 ; 3/8 > 1/3

Step-by-step explanation:

You have to multiply 8 and 3 to obtein the same number as denominatoe (24).

Once you have the same number you can use < = >

Answer:

It is 100 percent.

Step-by-step explanation:

Since the two numbers are identical, it is 100 percent.

Answer:

RC1.  5

RC2. 8

RC3. a

RC4. 3

Step-by-step explanation:

So basically what you need to start with is the fact that the second triangle is 2 times larger than the first.

so,

8 = 8

C = 10

A = 6

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the next important part is that the opposite sides of the fraction, when multiplied are equal to each other.

( for example 1/2 = 2/4, because 1*4 = 4 and 2*2 = 4)

RC1. a/3 = C/_

substitute

6/3 = 10/_

3 * 10 = 30

6 * _ =30

30/6 = 5.

Rc2. 4c = 5_

4*10 = 5*_

40/5 = 8

RC3. 3c = 5*_

3*10 = 5*_

30/5 = 6

RC4. 4a = 8*_

4 * 6 = 8*_

24/8 = 3

good luck with your schoolwork/homework!

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apologies in advance for incorrect answers or bad explanations.

Answer:

80

Step-by-step explanation:

The range is the largest number minus the smallest number

100 -20

80

Answer:

3x^2 - 15 = 0

-x^2 + 14 = 0

-2x^2 + 4x - 5 = 0

Step-by-step explanation:

3x^2 = 15

3x^2 - 15 = 0

-x^2 = -14

-x^2 + 14 = 0

4x - 2x^2 = 5

-2x^2 + 4x - 5 = 0

Answer:

x=10

Step-by-step explanation:

    2x+6 = 6x-34

->  40 = 4x

-> 10 =x

Answer:

164 people

Step-by-step explanation:

100% represents the 150 people who attended last year.

this year , there is an increase of 9% , which will make the total percentage to be 109%.

if ; 100% = 150 people

     109% = ?

cross multiply to get 163.5 the round off to get 164

Answer:10pi cm^2

Step-by-step explanation:

Answer:

b.2.3

Step-by-step explanation:

f(x)= 2x^3 - 4x^2 - 3

see graph below

only x intercept is 2.287

Answer:

b2.3

Step-by-step explanation:

Answer:

37 years

Step-by-step explanation:

If the mean age of 5 people in that room was 25 years,

∴ Sum₍₅₎= (25×5)years

              = 125 years

When a person enters that room, the mean age was now 27.

∴ Sum₍₆₎=(27×6) years

              = 162 years

∴ The age of the person who entered the room = Sum₍₆₎ - Sum₍₅₎

                                                                                 = (162-125) years

                                                                                 = 37 years

∴ The age of the person who entered the room is 37 years.

Hope this helps!!!

Please mark as brainliest!!!

Answer:

im just answering so you can give the other person brainilest. you can report if ya want.

Step-by-step explanation:

:)

Answer:

P(red) = .3

P(yellow) = .3

75 cubes in the box

Step-by-step explanation:

The probability has to add to 1

Since the number of red cubes equals the number of yellow cubes the probability has to be the same

.4 + x+x = 1

.4 +2x = 1

2x = 1-.4

2x = .6

Divide by 2

x = .6/2

x = .3

P(red) = .3

P(yellow) = .3

We know that

P(blue) = .4 = number of blue cubes/ total number of cubes

                 .4 = 30/total

                  total = 30/.4

                   total = 75

Answer:

The ball is 7 feet above the ground 2 seconds after it is thrown.

Step-by-step explanation:

As per the given statement, we are given a graph of function [tex]f(x)[/tex] where 'x' is time (in seconds) in the current scenario.

Time is plotted on x axis and height of football is plotted on y axis.

[tex]f(x)[/tex] is the height of football according to change in time.

Following are the few things that can be observed from the given curve:

1. Initial Height of football is ~4.8 feet i.e. at 0 seconds of time.

2. Football reaches a maximum height of ~7.2 feet at 1.5 seconds.

3. After 1.5 seconds, the height of football starts decreasing.

Here f(2) means, the height of ball at 2 seconds of time.

It is clearly visible from the given graph that height is 7 feet at 2 seconds.

Please refer to the attached answer image. Height at 2 seconds is marked as point P.

Hence, The ball is 7 feet above the ground 2 seconds after it is thrown.

Answer:

Aloy has $55 initially

Benjamin has $95 initially

Step-by-step explanation:

In this question, given the order in which the money flowed in the question, we want to know how much each of the two had initially.

let what Aloys have be x and what Benjamin has be y.

Together, they had 150

x + y = 150 ••••••••(i)

Aloys mother gave him 40, new money is x + 40, Benjamin spent 10, new money is y-10

the new difference is 10

Thus;

(x + 40)-(y-10) = 10

x + 40 -y + 10 = 10

x+ 40 = y

substitute this into the first equation

x + 40 + x = 150

2x + 40 = 150

2x = 150-40

2x = 110

x = 110/2

x = $55

y = x + 40 = 55 + 40 = $95

Answer:

A/ 3.14a=b

Step-by-step explanation:

A=3.14ab

Divide each side by 3.14 a  to isolate b

A/ 3.14a=3.14ab/3.14a

A/ 3.14a=b

Answer:

(6 × 3 × 4) 72

Step-by-step explanation:

Answer:

(6x3x4)= 72 unit cubes.

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

4x-y=21

y=3x-7

Substitute the second equation in for y in the first

4x - (3x-7) = 21

Distribute the minus sign

4x -3x +7 = 21

x +7 = 21

Subtract 7 from each side

x+7-7=21-7

x=14

Answer:   x=14 is right answer

4x-y=21 =

Slope = 4

x-intercept = 21/4 = 5.25000

 y-intercept = 21/-1 = -21.00000

y=3x-7 =

 Slope = 6.000/2.000 = 3.000

 x-intercept = 7/3 = 2.33333

 y-intercept = -7/1 = -7.00000

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the X-Intercept

Calculate the Slope

Hope this helps.

Step-by-step explanation:

The offer is 25% sale on cupcakes

Single cake costs = 9

25% = 0.25

After discount the price of cake = 9 x 0.25 = 2.25

Answer:

8

Step-by-step explanation:

The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'

Answer:

the answer is 1

Step-by-step explanation:

anything to the 0th power is 1

Answer:

The answer you are looking for is 1

Step-by-step explanation:

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.

Please tell me if it is correct using the ratings or thanks

Answer:

15/16

Step-by-step explanation:

The probability of not getting all heads is

1 - P(all heads)

P (all heads) =P(heads) *  P(heads)* P(heads) * P(heads)

                      1/2* 1/2 * 1/2 * 1/2 = 1/16

1 - 1//16 = 15/16

Answer:

The fraction of blue shirts that she sold is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

She sold:

1/3 on Tuesday.

5/12 on Wednesday.

What fraction of blue shirts did she sell on Tuesday and Wednesday?

Sum of fractions.

The lesser common multiplier between 3 and 12, which is 12.

So

[tex]\frac{1}{3} + \frac{5}{12} = \frac{\frac{12*1}{3} + \frac{12*5}{12}}{12} = \frac{4 + 5}{12} = \frac{9}{12} = \frac{3}{4}[/tex]

The fraction of blue shirts that she sold is [tex]\frac{3}{4}[/tex]

Answer:

$ 863.50

Step-by-step explanation:

375 days a year, 7 days a week

375/7

53.57 weeks in a year

24 paychecks of 863.50 = 46257.695$ a year

46257.695/53.57 = 863.5