Find the volume, in cubic inches, of a right rectangular prism with the measurements below. Length: 3/2" Width: 5/2" Height: 4

Answers

Answer 1

Answer:

Step-by-step explanation:

The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.

Mathematically, we have

The volume of prism = base area X  height

At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.

Where base area = length X breadth

hence, volume = length X breadth X height

volume = 3/2 X 5/2 X 4 = 15 cubic inches


Related Questions

HELP HELP HELP!!!!!!!

Answers

Answer:

b = 77

Step-by-step explanation:

a² + b² = c²

36² + b² = 85²

1296 + b² = 7225

b² = 7225 - 1296

b² = 5929

[tex]\sqrt{b^2} =\sqrt{5929}[/tex]

b = 77

Solve the equation below for m.

3

Answers

Answer: 30

Step-by-step explanation:

3(0.3m + 6) + m =75

(0.3 x 3 = 0.9)

(6 x 3 = 18)

0.9m + 18 + m = 75

0.9m + m + 18 = 75

(m=1)

1.9m + 18 = 75

1.9m = 75 - 18

1.9m = 57

m = 57÷ 1.9

m = 30

What is slope of (2,-1) and (-5,-3)?

Answers

slope is m=2/7.
hope this helps !

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Point R is located at (8, 9). Where is R' after a translation 8 units left and 6 units down?

Answers

Answer is R (0;3)
left is x so 8-8=0
And down is y 9-6=3

Simplify the following [³√64a³]-¹​

Answers

A 4a
B. 1/8a
C. 8a
D. 1/4a

What is 2/5 divided by 4

Answers

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
6

Answers

Answer:

53°

Step-by-step explanation:

Let m∠BCA = 'x'

Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.

Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.

90 - 37 = 53

Hence, the answer is 53°

a
b
c
d







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Answers

it's not A or D

Step-by-step explanation:

math I guessssssss

Answer:

D

Step-by-step explanation:q

If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.

Since the side opposite is 12, the hypotenuse is easily found.

1/2 = opposite / hypotenuse

1/2 = 12 / hypotenuse                     Cross multiply

hypotenuse = 2 * 12

hypotenuse = 24

Now use the Pythagorean Theorem to get the third side.

c = 24

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576                                  Subtract 144 from both sides.

b^2 = 576 - 144

b^2 = 432

Now  you have to factor 432 down to its primes

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.

sqrt(b^2) = sqrt(432)

b = 4 * 3sqrt(sqrt(3))

b = 12 sqrt(3)

Answer

r = 12*sqrt(3)

t = 24

The answer is D

A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.

Answers

Answer:

4.4cm

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.

Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.

We can set up an equation V = [tex]\pi r^{2}h[/tex]

If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]

If we divide both sides be 8pi and square root both sides after that, we can find the value of r.

[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]

To the nearest tenth, the radius would round up, yielding 4.4cm

For which value of p and q does the following pair of linear equations have an infinite
number of solutions?

2x + 3y = 7

( p-q ) x + (p+q) y = 3 p + q -2

Answers

Answer:

[tex]p =2.5[/tex]

[tex]q = 0.5[/tex]

Step-by-step explanation:

Given

[tex]2x + 3y = 7[/tex]

[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]

Required

Find p and q

To do this, we make direct comparison between the given expressions.

[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]

This implies that:

[tex](p - q)x = 2x[/tex]

[tex](p+q)y = 3y[/tex]

[tex]3(p + q) - 2 = 7[/tex]

So, we have:

[tex]p - q = 2[/tex] --- (1)

[tex]p+q =3[/tex] -- (2)

[tex]3(p + q) - 2 = 7[/tex] --- (3)

If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.

So, we only solve [tex](1)\ and\ (2)[/tex]

Add (1) and (2) to eliminate q

[tex]p+p-q+q=2+3[/tex]

[tex]2p=5[/tex]

Solve for p

[tex]p = 5/2[/tex]

[tex]p =2.5[/tex]

Substitute [tex]p =2.5[/tex] in (2)

[tex]p+q =3[/tex]

[tex]q = 3 - p[/tex]

[tex]q = 3 - 2.5[/tex]

[tex]q = 0.5[/tex]

Is a acute triangle regular?

Answers

Answer:

An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.

Step-by-step explanation:

hope this helped and can u plz mark me brainlest

an acute triangle is a triangle with angles under 90 degrees! not sure what you mean by regular but i hope this definition helped

Camila owns a car worth $5,900 and owes $2,800 on the car loan. She has $1,600 in her bank account and $5,210 in a savings account. She has a balance of $1,400 on her credit card. What is her net worth?

Answers

Answer:

[tex]Net\ Worth=11310[/tex]

Step-by-step explanation:

From the question we are told that:

Car worth [tex]C=5900\$[/tex]

Car Loan[tex]L=2800\$[/tex]

Bank account [tex]B= 1600\%[/tex]

Savings account [tex]S=5210\&[/tex]

Credit card [tex]CC=1400\%[/tex]

Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.

Therefore

[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]

[tex]Net\ Worth=11310[/tex]

Answer:

6tvuyrfrd

Step-by-step explanation:

hi please help i’ll give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.

Find x and y ( please explain )​

Answers

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?

Answers

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

(Geometry)
Name each triangle by the lengths of it’s sides.

a) 3 in., 5 in., 3 in.

b) 14 cm, 9 cm, 8 cm

c) 24 mm, 24 mm, 24 mm

d) 12 ft., 12 ft., 15 ft.

e) 7 mi., 6 mi., 5 mi.

f) 32 m, 48 m, 48 m

Answers

Answer:

A)Isosceles Triangle

B)Scalene Triangle

C)Equilateral Triangle

D)Isosceles Triangle

E)Scalene Triangle

F)Isosceles Triangle

Step-by-step explanation:

Helped me out with the triangles on the bottom but remember

all sides diffrent= Scalene Triangle

All sides the same = Equilateral Triangle

Only 2 sides the same = Isosceles Triangle

is 6:4 and 4:3 equivalent ratios?

Answers

Answer:

nooooo

Step-by-step explanation:

an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6

hope this helps! :)

The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

What are ratios and proportions?

A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.

No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).

For 6:4, the greatest common factor is 2, so we can simplify to:

6:4 = 3:2

For 4:3, there are no common factors other than 1, so it is already in its simplest form.

Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

To know more about ratios and proportions follow

https://brainly.com/question/29038325

#SPJ2

HELP ME AND NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

C

Step-by-step explanation:

b and c are wrong cuz we can see that some dogs weighed 20 pounds

D is wrong cuz the iqr is not affected by extreme values and is focused on the 25th and 75th percentile of the values

Find the surface area of the sphere with a radius of 5.

Answers

Answer:

Step-by-step explanation:

Answer:

314.16

Step-by-step explanation:

4πr^2

4π(25)

100π

= 314.16

Please helppp fast!!Simplify (4x^5)^2 (x^10)^1/2

Answers

Answer:

(4^2*x7)(x^10.5)

A shoe company started a website 2 years ago. The first year, the website received h hits. The second year, it received 132 % of the hits it received the first year. Which expression will result in the number of hits the company's website received the 2 nd year? 1 + 0.32 h 1 plus 0 point 3 2 h, 1.32 h 1 point 3 2 h, ( 1 + 1.32 ) h open paren 1 plus 1 point 3 2 close paren times h, h + 1.32 h , h plus 1 point 3 2 h,

Answers

Answer:

B. 1.32 h : 1 point 3 2 h

Step-by-step explanation:

Year 1 = h hits

Year 2 = 132 % of the hits it received the first year

Number of hits the company's website received the 2nd year = 132% of h

= 132/100 × h

= 1.32 × h

= 1.32h

A. 1 + 0.32h : 1 plus 0 point 3 2 h,

B. 1.32 h : 1 point 3 2 h,

C. ( 1 + 1.32 ) h : open paren 1 plus 1 point 3 2 close paren times h,

D. h + 1.32 h : h plus 1 point 3 2 h,

How many​ flowers, spaced every 3 ​in., are needed to surround a circular garden with a 125 ​-ft ​radius? Use 3.14 for (the pie symbol).

Answers

Answer:

785

Step-by-step explanation:

flowers needed to surround the garden = circumference of the garden / space

circumference of a circle = 2nr

n = 3.14

r = radius

The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability

1ft = 12 inches

125 x 3 = 375

2 x 3.14 x 375 = 2355

flowers needed = 2355 / 3 = 785

10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.

Answers

36 using the angles replaceable to multiple bc it’s needed

Which choice represents the expression below as a single exponential
expression?
7.16.7.17
A. 7.142
B. 7.113.7.113
C. 7.113
D. 711

Answers

Answer:

C) (7.1)^13

Step-by-step explanation:

When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:

a^x*a^y=a^(x+y)

(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13

Therefore, the correct answer is C) (7.1)^13

Answer:

C

Step-by-step explanation:

When multiplying numbers with exponents, you always add the exponents.

7.1^6+7

7.1^13

Hence, C

Hope it helps!

BRAINLIEST Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6,700 pounds of fish? 2.5% 5% 15.87% 31.74%

Answers

Answer:

I think it is C 15.87%                      

Step-by-step explanation:

help asap
Classify the triangle as acute, obtuse, or right. Use the sides, 6,12,18, and decide wha
type of triangle it is.

Answers

Answer:

Acute because all angles are less than 90

(x+ 7)(x -8) = 0 then
___ OR ___
OR Solving: x = x =

NOT MULTIPLE CHOICE

Answers

Answer:

if this is factoring i wanna say

x= -7

x= 8

but i could be wrong this is a trick 1

Step-by-step explanation:

In the following equations, what would you multiply the second equation to
eliminate the "x"? *(PLEASE I REALLY NEED HELP!! D:)

3x + y = 20
x + y = 12

1) -1

2) 1

3) -3

4) 3

Answers

-3 because you could eliminate the 3x by subtracting it by 3x

Someone help plz, plz make sure it’s right if it is will mark brainiest :)

Answers

Answer:

Step-by-step explanation:

I really don’t know but I think you have to find the hypothenuse first then you can do the rest

Answer:

Step-by-step explanation:

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

giving out brainiest for whoever gets it right!

Mandy made a circular ower garden with a diameter of 7 feet. She wants to put a fence around the outside of the
garden. About how much fence does
Mandy need to buy? (Use 3.14 for .)
A. 11 feet B. 22 feet
C. 38 feet D. 44 feet

NO LINKS OR SPAMMING IF U DO U WILL BE BLOCKED AND REPORTED!

Answers

Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

(  22 because you cannot buy half of one so you have to round it)

21.95 - 22

The answer to your question is C. 38 feet
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