HELP!! Please scale a rectangular prism that is 300 inches, by 50 inches, by 30 inches to have a volume in the 60-70 cubic inch range.

Answers

Answer 1

Answer:

Scale factor 1/19, volume 65.6 in³

Step-by-step explanation:

Volume of the prism:

V = abh V = 300*50*30 = 450000 in³

Scaled volume is 60 - 70 in³

Find the scale factor k;

450000/60 = 7500450000/70 = 64281/6428 < 1/k³ < 1/75001/∛6428 < 1/∛k³ < 1/∛75001/18.59 < 1/k < 1/19.571/k = 19 is best

So the scale factor is

k = 1/19

and the volume of the smaller prism is:

450000 / 19³ = 65.6 in³

Answer 2

Answer:

Scale factor 1/19, volume 65.6 in³

Step-by-step explanation:

Volume of the prism:

V = abh

V = 300*50*30 = 450000 in³

Scaled volume is 60 - 70 in³

Find the scale factor k;

450000/60 = 7500

450000/70 = 6428

1/6428 < 1/k³ < 1/7500

1/∛6428 < 1/∛k³ < 1/∛7500

1/18.59 < 1/k < 1/19.57

1/k = 19 is best

So the scale factor is

k = 1/19

and the volume of the smaller prism is:

450000 / 19³ = 65.6 in³


Related Questions

Justine earned $19,000 during the first year of her job at city hall. After each year, she received a 8.6% raise. Find her total earnings throughout her 20-year career.

Answers

Answer:

929,477.13

Step-by-step explanation:

Number of years, n = 20

Using the relation :

a(1- r^n)/ (1 - r) ;

where a is the first term, r is the common ratio and n is the number of years

a = 19000

r = 1 + 8.6% = 1.086

19000(1 - 1. 086^20) / (1 - 1.086)

19000(1 - 1.086^20) / (1 - 1.086)

−79935.0336930 / (1 - 1.086)

= 929,477.13

Answer in terms of A and B

Answers

P(0,2b)
S(0,-2b)
Q(a,2b)
R(a,-2b)

9 less than m squared

Answers

Answer: b = m

(3 + m)(3 - m)

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to 10(10x - 4).

Answers

Answer:

100x-40

Step-by-step explanation:

10*10x and  10* -4

Which inequality is a true statement?
Select each correct answer.
-5 = -7
ロ-5<-7
-5 > -7
0-5 > -7
-5 < -7

Answers

Answer:

-5 > -7 and 0-5>-7 are both true statements the rest aren't.

Step-by-step explanation:

Please help me with the questions please ASAP

Answers

Answer:

x = 20

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.

To find x, you need to identify what sides 8 and x correspond to:

8 corresponds to 14 (6 + 8)

x corresponds to (x + 15)

Now, you need to find the scale factor by dividing 14 by 8:

14 ÷ 8 = 7/4

At this point, you can write and solve an equation for x:

7/4x = x + 15

3/4x = 15 (subtract x from both sides)

x = 20 (multiply both sides by 3/4)

20 POINTS
Verify which of the following are identities.
1) 8 cos theta tan theta csc theta=8

Answers

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

i honestly just need help and nones helping 6th grade work

Answers

Length times width so that would be 21

The average length of a female dolphin is about 179 inches What is the length in feet and inches pleaseee help me I have been stuck on this questions for about 20 mins !

Answers

Considering that 12 inches are in 1 foot, 179/12 = 14, remainder 11. Therefore the answer is 14 feet and 11 inches

Three bags of chips and sodas cost $12.50. Four bags of chips and two sodas cost $10.00. What is the cost of each item? ASAP pls!

Answers

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

please help me! this is hard​

Answers

Answer: 1430 girls

Step-by-step explanation:

In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls

Let's sum up what we learned

1. 12,481 people are at a concert

2. 8906 adults are at this concert

3. 3,575 are children

4. 2145 are boys

5. Which means there are 1430 girls

Percents!! Please help!!!

Answers

Answer: B.

Step-by-step explanation:

Suppose you have a L.L. Bean coupon of $63.60 and you want to know the final or sale price if the discount is 20 percent.

Using the formula (b) and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 63.60 - 12.72

Sale Price = $50.88 (answer).

This means the cost of the item to you is $50.88.

You will pay $50.88 for a item with original price of $63.60 when discounted 20%.

In this example, if you buy an item at $63.60 with 20% discount, you will pay 63.60 - 12.72 = 50.88 dollars.

Answer: $50.88

Step-by-step explanation:

Step 1: Find 20% of 63.60

20% of 63.60

20% = 20/100 = 0.2

0.2 × 63.60 = 12.72

20% of 63.60 is removed to get the selling price.

Step 2: Subtract

20% of 63.60 = 12.72

63.60 - 12.72 = 50.88

The selling price is $50.88.

PLEASE HELP:). The branch of an isosceles triangle is 2.5 times longer than the base and the circumference of the triangle is 60 cm. Find the lengths of the midpoints of the triangle.

Answers

Answer:

Step-by-step explanation:

2.5x + 2.5x + x = 60

x= 10

2.5x = 25

the sides of the triangle are 25, 25, 10

I don't know what you mean by "midpoints of the triangle".

Please help will give brainliest

Answers

Answer:

(5j + 4k)2

2(5j + 4k)

Step-by-step explanation:

Only choices where it distributes 10j + 8k

Answer: 2(5j+ 4K) and (5j+4k)2

Hope this helps!

Step-by-step explanation:

11x - ? = 19x what is the missing number?

Answers

Answer:

8x !

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

36.Find the following using suitable identities.
a) (7a – 4b) (7a + 4b)
b) 501 x 502
Would appreciate if you send a pic of the solutions<3

Answers

Answer:

1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]

2) [tex]251502[/tex]

Step-by-step explanation:

a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]

Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So,

[tex](7a + 4b)(7a - 4b)[/tex]

[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]

[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]

b) Question :- [tex]501 \times 502[/tex]

Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]

So,

[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]

[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]

[tex] = > 250000 + 1500 + 2[/tex]

[tex] = > 251502[/tex]

What is 308 kg shared in the ratio 1 : 2 : 5?

Answers

Answer:

It will became like this.

38.5kg.77.kg192.5.kg

Hope this will help you.

Answer:

38.5, 77, 192.5

Step-by-step explanation:

x + 2x + 5x = 308

8x = 308

x = 38.5

38.5 + 2(38.5) + 5(38.5)

38.5 + 77 + 192.5 = 208

38.5, 77, 192.5

what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]

Answers

The answer is bc you do 8(a+8)=2(a-4) then it turns to 8a+64=2(a-4) to 8a-2a+64=-8 to 6a=-8-64 to 6a=-72 to the answer A=-12

Jose's gas tank is 1/5 full. After he buys 9 gallons of gas, it is 7/10 full. How many gallons can Jose's tank hold?

Answers

Answer:

18 gallons

Step-by-step explanation:

Let the capacity of tank is x

1/5x + 9 = 7/10x2/10x + 9 = 7/10x5/10x = 91/2x = 9x = 18 gallons

Area of composite shapes!!
Find the area
Its geometry
Due Tomorrow
Plz HURRY
Offering brainliest

Answers

I think it’s 78 because don’t you multiply and then divide
Hope its correct!

On the number line, which point is closest to
A. A
B. B
C. C
D. D

Answers

Point C, since pi=around 3.14

Hope that helps :)

Answer:

the answer is ç

Step-by-step explanation:

because π=3.14

Find the measure of the arc.
A
146°
E
B
MABC = [ ? 1°

Answers

Answer:

i get    mABC = 270°

Step-by-step explanation:

This is fairly straight forward once you the right angle symbol for the arc AC.  Also realizing the 148° for mAB is not needed for this question.  The 148° for mAB would be useful if you wanted to calculate arc mBC.

Remember there are 360° in a circle.  

The arc mAC is 90°

The arc mABC is the rest of the circle.       is the arc from  A to B to C

arc ABC + arc AC is the full circle 360°

     mABC + mAC  = 360°           mAC = 90°

     mABC + 90°  = 360°              - 90° from both sides

     mABC = 360° - 90°

      mABC = 270°

The angle ∠ABC in the given circle will be 270°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Angle is very useful to measure any angular rotational motion for example if you have to find out the rotation among the circle then it cannot measure in length parameter such that meter inch so it will be measured as an angle in a unit of degree or radian.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Now since we know that the angle of complete rotation is 360°.

Now ∠ADC + ∠ABC = 360

Given that ∠ADC = 90°

∠ABC = 360° - 90° = 270°

Hence, 270° will be the correct answer.

For more about the angle

brainly.com/question/13954458

#SPJ5

i will mark brainiest if you explain please

Answers

Answer:

c,or d I think please be right

A gardener has 100 feet of fencing in order to enclose a rectangular garden. The equation A(x)=x(50−x) gives the area of the garden whose width is x feet. What is a reasonable domain for this function? Explain.

Answers

Answer:

the answer is a

Step-by-step explanation:

A reasonable domain would be  

−∞<x<∞

because  

A(x)

is defined for all real numbers.

A rectangle has an area of 12x²+17x-5mm². For what value of x is the rectangle a square? What is the area of a square? Justify your answer and show your work. A=12x²+17x-5mm²

Answers

Answer:

23mm

528 mm^2

Step-by-step explanation:

The area of a rectangle is given as  the product of its length and width.

Given that 12x²+17x-5mm² is the area

factorize

12x²+17x-5 = 12x²+20x -3x-5

= 4x(3x+5)-1(3x+5)

= (3x+5)(4x-1)

For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence

3x + 5 = 4x -1

collect like terms

3x - 4x = -5 -1

-x = -6

x = 6

substitute into the sides

3x + 5 = 3(6) + 5 = 23

4x -1 = 4(6) - 1 = 23

The area of the square which is a product of the sides

= 23 * 23

= 529

Please help will give brainliest

Answers

Option c is correct answer :-Area = 1/2 x 20 x 21         = 210HOPE IT HELPS !!!

The volume is ___ cubic centimeters.

Answers

Answer:

4.24

Step-by-step explanation:

Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?


Answers

Answer:

540$

Step-by-step explanation:

What is the equation of the line through the origin and (3, 4)?
A. y = 3x
B. y = fx
C. y= 4x
D. y = 2
SUB

Answers

Answer:

a

Step-by-step explanation:

if 3and 4 origin it a would be your answer

------------Need help ----------
Y=3x-2

Answers

Answer:  -8, -5, -2, 1, 4

Step-by-step explanation:

Y=3x-2

- Plug in the number for x.

x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8

x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5

x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2

x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1

x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4

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