Need help please. Determine whether the statement is true or false.

If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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Volume

Answer:

assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]

by phytagorean theorem

[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]

so

[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

★ 1st let's know what is the given figure is and it's related concepts for solving !

[tex] \rule{70mm}{2.9pt}[/tex]

★ Writing this theorem mathematically ★

[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]

★ Here ★

[tex] \rule{70mm}{2.9pt}[/tex]

[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hence length (BC) in the given triangle is of

[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

Hope the picture will help you........

Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.

This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.

Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.

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Answer:

C (Square)

Step-by-step explanation:

Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.

Answer:

2.2 ≤ x ≤ 4.5

Step-by-step explanation:

The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.

The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n

The expression is given as:

√(5 - n)²

Where n < 5

The inequality n < 5 has no effect on the expression.

So, we have:

√(5 - n)² = 5 - n

Hence, the simplified expression of √(5 - n)² is 5 - n

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Answer:

I'm guessing you want how many liters of paint she used?

she used 24 liters of paint to paint her fence.

Step-by-step explanation:

theres 6 cans

4 liters in each can

6×4=24

Answer:

73 dollars and 50 cents

Step-by-step explanation:

Initial Deposit:

70

Years to Save:

1

Estimated Rate of Return

5

Compound Frequency:

Annually

Earned Interest

$3.50

Total Balance

$73.50

Hope this helps!

Answer:

73.50

Step-by-step explanation:

math

What interest rate do you need to double your money in 10 years?

R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)

Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%

Answer:

y axis please set in star then I will tell

Answer:

a'= (10,-9)  b'= (9,0) c'= (1,0) d'= (10,-1)

Step-by-step explanation:

whenever you reflect over the y you change the x

we have three sides, let's look at the two smaller sides first.

check the picture below atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 13.

Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct

A line is defined as the distance between two points

Since the point T bisects RT and TU = 6 units, hence the point U bisects TS.

The sum of the segment SU and UT will be RT

Given that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE

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Answer:

y²+x-7=-x+37

Step-by-step explanation:

im a pickle morty its the funniest thing ive ever experienced

Answer:

A

Step-by-step explanation:

AnswerI dont know

Step-by-step explanation:

how do you expect me to k

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5  =  a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

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The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

0.5 * (12 + Length) * 12.7 = 107.95

Evaluate the product

(12 + Length) * 6.35 = 107.95

Divide both sides by 6.35

12 + Length = 17

Subtract 12 from both sides

Length =  5

Hence, the length of the trapezoid is 5 units

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Answer:

i d k the answer soory about that

Step-by-step explanation:

just for points

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

Answer: 210 advanced tickets were sold. 130 same day tickets were sold.

Step-by-step explanation:

x= advanced tickets y=same day tickets

2x+3y=810 this equation represents the money

x+y=340 this equation represents the total number of tickets

x+y=340

-x     -x

y=-340-x             2x+3(340-x)=810               210+y=340

                           2x+1020-3x=810               -210     -210      

                           -x+1020=810                       y=130

                               -1020  -1020

                                 -x=-210

                                 -1     -1

                                  x=210              

Answer:

super  shopper

Step-by-step explanation:

o.85/2=0.425

0.425*3=1.275

Answer:

(-4, 40)  y = -9x + 4

(8, 50)   y =  6x + 2

(9, -36)  y = -3x  - 9

(5, 38)   y =  8x -  2

Do you want an explanation?

#1

Put (-4,40)

Verified

#2

put (9,-36)

Verified

#3

Put (5,38)

Verified

#4

Put (8,50)

Hence verifiedl

Answer:

102

Step-by-step explanation:

So 714 divided by 7 = 102

Answer:

12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If the order matters, we can use the product rule to show each of the [tex]20[/tex] coins can be chosen in [tex]5[/tex] ways, for a total of [tex]5^{20[/tex] ways, assuming you have enough of each type of coins.

If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is[tex]C(n+r-1,r)[/tex]. Here [tex]n=5[/tex] and [tex]r=20[/tex]. So we get [tex]C(24,20)[/tex].

The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.

For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.

Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

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