Jada is using a pyramid-shaped piece of foam with the dimensions shown below for a model she is making. She has to paint the triangular surfaces for her model. The slant height of each triangular face is 9mm. The base will NOT be painted. Find the SURFACE AREA of the pyramid that has to be painted.

Answer:

165

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

First Position: √22

Second Position: √19

Third Position: √21

Fourth Position: √18

Answer:

h = 2A/b

Step-by-step explanation:

Area of a triangle, A = 1/2bh

Where,

b = base of the triangle

h = height of the triangle

Rearrange the formula to isolate h

A = 1/2bh

Multiply both sides by 2

2 * A = 2 * 1/2bh

2A = bh

Divide both sides by b

2A / b = bh / b

2A / b = h

Therefore,

h = 2A/b

It's the one with the greater than or less than sign (the second option) because Logan wants to make money greater than or less than $1000

Answer:

631.334460 ft

Step-by-step explanation:

i think

Answer:

32 feet

Step-by-step explanation:

Since we know that the formula for finding circumference is C = π · d, and π is equal to 3.14, we reverse the formula so it fits what information we have.

We know that C = 100.48 and we also know that π = 3.14 so all we have to find is the diameter.

To do this, you divide 100.48 by 3.14 to get 32 feet as your final answer.

Answer:

the answer is 6 trips.

Step-by-step explanation:

Answer:

Solution given:

The volume of two similar solids are 128 m³

and 250 m³.

surface area of larger solid is 250m²

let surface area of smaller solid be x.

Since they are similar

[tex] \frac{250}{128} = \frac{250}{x} [/tex]

x=128

the surface are of the

smaller solid is 128m²

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

[tex]h(x)=ax(x-7)[/tex]             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

[tex]4=a(3)((3)-7)[/tex]

[tex]4=a(3)(-4)[/tex]

[tex]\dfrac{4}{(3)(-4)}=a[/tex]

[tex]-\dfrac{1}{3}=a[/tex]

Putting [tex]a=-\dfrac{1}{3}[/tex], we get

[tex]h(x)=-\dfrac{1}{3}x(x-7)[/tex]              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

[tex]h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)[/tex]

[tex]h(1.5)=-(0.5)(-5.5)[/tex]

[tex]h(1.5)=2.75[/tex]

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

The question is incomplete. The complete question is :

Victor is selling lemonade to raise money for his school. The amount of money he collected from his sales each day is summarized on the box plot below.

What is the interquartile range of the data ?

Answer:

$ 7

Step-by-step explanation:

It is given that Victor sold lemonade in order to raise money for his school.

The money that Victor collected is shown on the diagram below.

Therefore, we find the interquartile range. It is the difference between the 3rd quartile and the 1st quartile, i.e.

IQR = [tex]$Q_3-Q_1$[/tex]

Now from the figure, the 3rd quartile is the value that is at the end of the rectangular box towards the right. Therefore, the 3rd quartile is =  $ 29

Similarly from the figure the 1st quartile at the beginning of the rectangular box to the left is = $ 22

So the interquartile range is = 3rd quartile - 1st quartile

                                               = 29 - 22

                                                = $ 7

Thus the amount of money Victor collected is $ 7.

Mean- 6

Median- 6

Mode- 3, 4, 5, 7, 9, 10, 2, 8

Range- 8

Hope this Helped! :T

A- x=A

B- x=27

C- x=3

D- x=4

E- x=17

ANSWER- A and C

Hope this Helped! :T

Answer:

-5

Step-by-step explanation:

Make:

(-5)³ = (-5)×(-5)×(-5) = 25×(-5) = -125

Answer:

a) 40 degrees b) 148 degrees

Step-by-step explanation:

a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.

b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.

Answer:

-0.25x-5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

since this feels like a sequence, a1 should be the first Expression to the arimethic sequence and the rest should be the (n - 1)d so I think it should be 1/2 + 4(an - 1)

note: arimethic sequence formula is a + (n - 1)d

Answer:

area = 32

perimeter = 30

Step-by-step explanation:

Formulas:

Area of a parallelogram: A = bh

Perimeter of a parallelogram: P = 2 ( b + s )

Where h = height s = slant height and b = base length

Define:

b = 8

h = 4

s = 7

Plug in given values into formulas and calculate

A = (8)(4)

8 * 4 = 32

A = 32

P = 2 ( 8 + 7 )

8 + 7 = 15

2(15) = 30

P = 30

Answer:

5:30 pm.

Step-by-step explanation:

First find the LCM (lowest common multiple) of 25 and 30. This is the amount of minutes it will take for the buses to meet again.

25 can be broken up into 5*5

30 can be broken up into 5*6

The most amount of 5s found in a number is two times in 25 and the most amount of 6s found in a number is once in 30, so

25*6=150

150 is the LCM. This means that in 150 minutes, the buses will be back at the bus depot together.

All we have to do now is convert 150 minutes to hours.

One hour is 60 minutes, so 150/60 is 2.5 hours, or 2 hours and 30 minutes.

2 hours and 30 minutes after 3 pm is 5:30 pm.

Answer:

A 3/19

Step-by-step explanation:

There are 4 candies of each color. If you take out one yellow, you not only have three yellows; you have 19 candies. 3/19 is the answer.

Answer:

3/19

Step-by-step explanation:

There is an equal number of colored candies, in which there are 20 candies in all, and 5 colors:

20/5 = 4

Each color has 4 candies.

Savannah was able to obtain a yellow candy, and she does not replace it:

4/20 removing one yellow candy = 3/19

A) 3/19 is her chance of getting another yellow.

Answer:

Step-by-step explanation:

rational number equivalent to 3/8 is 6/16

3*2/8*2=6/16

Multiplying both numerator and denominator with same number

Answer: i think its 21! how idfk but it was on some website...dont hatecrime me!

Step-by-step explanation:

Answer:

$6.30

Step-by-step explanation:

Answer:

The tip should be $6.30

Step-by-step explanation:

We can find 15 percent of 42$ by multiplying 42 by 0.15 (this is another way of writing down 15%) and so we get...

(42)(0.15) = 6.3

Therefore the tip should be $6.30

Answer: [tex]11\ \text{pounds}\ 6\ \text{ounces}[/tex]

Step-by-step explanation:

Given

Issac and Isaiah born weighing 6 pounds 2 ounces and 5 pounds and 4 ounces.

1 Pound is equivalent to 16 ounces

Issac weighs

[tex]\Rightarrow 6+\dfrac{2}{16}\ \text{Pounds}[/tex]

Isaiah weighs

[tex]\Rightarrow 5+\dfrac{4}{16}\ \text{Pounds}[/tex]

Their combined weight is

[tex]\Rightarrow 6+5+\dfrac{2}{16}+\dfrac{4}{16}\\\\\Rightarrow 11+\dfrac{6}{16}\ or\\\\\Rightarrow 11\ \text{pounds}\ 6\ \text{ounces}[/tex]

Answer:

about 8.40

Step-by-step explanation:

16.82-8.264

Rounding 16.82

rounding 8.264

16.80-8.40=8.40

Answer:

x = 7

Step-by-step explanation:

Let

x = the unknown number

double it :

2x

add 11:

2x + 11

I get 25:

The equation is

2x + 11 = 25

2x = 25 - 12

2x = 14

Divide both sides by 2

x = 14/2

x = 7

Answer:

For number 1 the answer should be independent.

For number 2 the answer should be independent

And number 3 should also be independent

Step-by-step explanation:

My explanation is that they are all independent because you aren't depending on someone to help you do these things, therefore, independent.

I hope this helps :)

Answer:a

Step-by-step explanation:

Answer:

-52

Step-by-step explanation:

-11 -14 are same sign is equal to plus ,,so that is answer -52 ...

Answer:

- 11 - 41

-52 is the right answer....

Answer:

Step-by-step explanation:

Given:

Conjugate of the given number is:

Divide the given number by its conjugate:

Correct choice is B