Look at this net for a rectangular prism.


What is the surface area of the solid created by the net? Show your work.



the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

The given values are :

We know,

[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]

Now,

[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]

Therefore the correct answer is :

D. 5π√89 in²

_________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches

The formula for calculating the lateral area of the cone is expressed as:

V = 1/3πr²h

where:

Given the following

r = 5in

h = 8n

Substitute

L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)

Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches

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Answer:

57.8 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90

Answer:

x = 28°

y = 23°

Step-by-step explanation:

5y - 4 + 3y = 180

solve for y

8y = 184

y = 23

3y and 2x + 13 are equal

solve for x now that we know y is 23.

3(23) = 2x + 13

69 = 2x + 13

56 = 2x

28 = x

Answer:

y=23 x=28

Step-by-step explanation:

5y-4 + 3y =180⁰

8y-4=180

8y=184

y=23

3y=2x+13

69=2x+13

-13 -13

56=2x

28=x

Hope this is helpful. good luck

Answer:

3rd option is the answer

Step-by-step explanation:

hope u understand

Answer:

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

Step-by-step explanation:

There are 3 colors so degrees of freedom = 3-1 = 2

The chi square value = 0.85

The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

The  p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

Answer:

-9x+3

Step-by-step explanation:

See the steps below:)

Answer:

Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.

Answer:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

Step-by-step explanation:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

The x-coordinate of the vertex is -b/(2a)

Answer:

The hypotenuse measures 8.48 meters.

Step-by-step explanation:

Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:

6 ^ 2 + 6 ^ 2 = X ^ 2

36 + 36 = X ^ 2

√ 72 = X

8.48 = X

Therefore, the hypotenuse measures 8.48 meters.

Answer:

D. 3900π

Step-by-step explanation:

volume = 1/3 πr²h   ... r = 30,  h = 13

v = 1/3 * 30² * 13 * π = 3900π

Answer: the answer is 25

Step-by-step explanation:

Answer:

b/3 = c - 6

Step-by-step explanation:

A number b divided by 3 is 6 less than a number c

b/3 = c - 6

Answer:

0.12 = 12% probability that a randomly selected person likes both juices.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We solve this question treating these events as Venn probabilities.

I am going to say that.

Event A: Like orange juice.

Event B: Like grape juice.

In a survey 125 people, 90 people liked orange juice or grape juice.

This means that:

[tex]P(A \cup B) = \frac{90}{125}[/tex]

62 people who like orange juice and 43 people who like grape juice.

This means that:

[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]

What is the probability that a randomly selected person likes both juices?

This is [tex]P(A \cap B)[/tex], which is given by:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].

With the values in this problem:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]

0.12 = 12% probability that a randomly selected person likes both juices.

Answer:

the solutions of a function are the points where for some value of x the function becomes zero

thus the solns for this graph would be

that's option 1.

Answer:

Step-by-step explanation:

2(b+14)=-7(1-b)

2b+28=-7+7b

28+7=7b-2b

35=5b

35/5=b

7=b

Lucy and Alicia should be planning to make 8 gallongs of lemonade.

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Have a wonderful day!

Answer:

64 marbles

Step-by-step explanation:

The solution is, 24 is the total number of marbles in the bag.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

A bag of marbles only has red and blue marbles.

The bag has a ratio of blue marbles to red marbles of 3:5,

and there are 24 blue marbles in the bag.

we have to find the total number of marbles in the bag.

let, there are x red marbles .

we have,

blue marbles : red marbles = 3:5

so, we get,

blue marbles : red marbles = 24 : x

i.e. 3:5 = 24 : x

so, x = 24 * 5 / 3

or, x = 8*5

or, x = 40

so, there are 24 red marbles .

so, total = 24 + 40 = 64

Hence, The solution is, 24 is the total number of marbles in the bag.

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Answer:

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

4.75

Step-by-step explanation:

0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25

0.125 + 0.125 = 0.25

0.25 + 0.25 + 0.25 + 0.25 = 1

0.5 + 0.5 + 0.5 = 1.5

1 + 1 = 2

0.25 + 1 + 1.5 + 2

4.75

Answer:

The answer is 4 3/4

           Hope this helps! good luck :)

Answer:

c. 4

Step-by-step explanation:

tan (30)/1 = x/7 *cross multiply*

x = 7 (tan(30))

x = 4.04

x = 4

Answer:

arc AB = 144°/360° x 2π x 10

= 2/5 × 20π = 8π

Answer:

(2.5, -1.3)

Step-by-step explanation:

x = (3.5 + 1.5) / 2

x = 5/2

x = 2.5

y = (2.2 - 4.8) / 2

y = -2.6/2

y = -1.3

(2.5, -1.3)

Answer:

The distance is 11 units.

Step-by-step explanation:

First you look at the difference between the x values and then you look at the distance between the y values. Since the x values here are -5, and 6 then you count the distance between -5 and 6. This would be 11 since 6 is 6 units away from 0 and -5 is 5 units away from 0. Since the y values are the same then the distance will just be the distance between the x values.

Answer:

Table

Bottles Price($)

3           78

6           156

9           234

From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.

That means that the unit rate of this fragance is $26.

If you call x the number of bottles the equation is

Price = unit rate * number of bottles = 26x.

Now compare this information with that on your graph to compare the unit rates.

This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =

[change in y-coordinate] / [change in the x-coordinate]

Step-by-step explanation:

Answer:

3 and 78

Step-by-step explanation:

Answer:

10.92

Step-by-step explanation:

136.5*(8/100)that is tax

Answer:10.92

Step-by-step explanation:

Answer:

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

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

[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]

[tex]2 = \frac{1}{15} x[/tex]

[tex]x = 2 \times 15[/tex]

[tex]x = 30[/tex]

Your answer is x=30

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Answer:

A.

Step-by-step explanation:

[tex][6\:\:1]\begin{bmatrix}-1&0\\0&1 \end{bmatrix}=[6(-1) + 1(0)\:\:6(0)+1(1)]=[-6\:1][/tex]

Answer:

A on edge

Step-by-step explanation:

Answer:

y=5x+14

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.

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