A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.

What is the volume of the prism?


45 m³

54 m³

69 m³

108 m³

The square miles that was burned if one square mile is 640 acres is 840.625 square miles.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Square miles that was burned = 538,000 / 640 = 840.625 square miles

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There are 840.625 square miles did the fire burn.

Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.

The wallow fire of 2011 burned 538,000 acres in eastern Arizona.

The area of square miles did the fire burned is;

[tex]\rm Area =\dfrac{538,000}{640}\\\\Area =840.625 \ square \ miles[/tex]

Hence, there are 840.625 square miles did the fire burn.

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Answer:

60.61

Step-by-step explanation:

the missing angle is 51 degrees

we can say sin74/x = sin51 / 49

now we just solve for x.

x = 60.61

Answer:

Year 2: 109.4%

Year 3: 118.9%

Step-by-step explanation:

Now,

For the revenue trend percent for year 2

Year 2: $580,000 / $530,000 × 100 = 109.4%

For the revenue trend percent for year 3

Year 3: $630,000 / $530,000 × 100 = 118.9%

Thus, The answer is 109.4% and 118.9%.

-TheUnknownScientist 72

Answer:

9

Step-by-step explanation:

1.08 divided by 0.12 equals 9

[tex]\sf\large\underline\purple{Answer:-}[/tex]

The measure of the angle x = 90°

[tex]\sf\large\underline\blue{Reason:-}[/tex]

Theorem Of Tangent:-

[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.

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Answer:

The value of angle is 90°

Step-by-step explanation:

Theorem:-

And we know , the value of angle formed by perpendicular is 90°

Answer:

y = 0

Step-by-step explanation:

Answer:

which of the variable in equation square of 9 is

Step-by-step explanation:

solution of the equation of 6 equals

Answer:

Step-by-step explanation:

Let's check the transformation from C(1,3) to C'(5,2).

(1) C(1,3) would become C'(2,-1), which is wrong.

(2) You can eliminate this, as the image and preimage are in the same quadrant.

(3) You can eliminate this, as the image and preimage are in the same quadrant.

(4) C(1,3) would become C'(5,2), which is correct.

Answer:

there are 52 cards in each pack

Answer:

52.

Step-by-step explanation:

A deck of cards have 52 cards.

Answer:

A,B,D,E

Step-by-step explanation:

yes

Answer:

14%

Step-by-step explanation:

lets whip out that EPIC CALCULATOR! alright so i hope that you have your calculator with you, whether it is a physical one or a digital one on your computer.

try this:

enter 14, then the division sign ( could be a ÷ or an / ) and then 100.

what do we get?

0.14

ok, now lets multiply this by 100 to get the PERCENT instead of the DECIMAL, and we get
14%

EPIC!

Answer:

42 meters squared

Step-by-step explanation:

Lets split the trapezoid into 2 parts (6*5 and 2*6)

6*5+2*6

= 30+12

= 42

Answer:

36

Step-by-step explanation

5+7 = 12

12/2 = 6

6 * 6 = 36

formula = ((a+b)/2) * h

Answer:

-4

Step-by-step explanation:

-8/2=-4

So you do -8-2/4-2, which is the average rate formula.

Answer:

4kg

Step-by-step explanation:

Computer World ships

10 computer monitors at one time. The total mass of the shipment is

40 kilograms.

All of the monitors in the box have the same mass.

What is the mass of one of the computer monitors?

10÷40=4kg

Answer:

4km

Step-by-step explanation:

Answer:

0.40 is your answer

Step-by-step explanation:

0 .40 is your answer

12 in all:

{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}

Answer:

Step-by-step explanation:

Answer:

Part A: X·8=Y

X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.

4·8=32

Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.

Step-by-step explanation:

Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi

3/4 of the circle is shaded

area of shaded portion = 3/4 x 16pi = 12pi

Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a

Answer:

7

Step-by-step explanation:

do what is in the parenthesis first then multiply then add

so the equation is 1 1/3 ÷ 1 2/5

simpilify it

4/3 ÷ 7/5

since its division, you want to make it multiplication to you switch the fractions around.

you get the equation 3/2 * 5/7

which is 15/14

that converted to a improper fraction is 1 1/14

answer: 1 1/14

Given the length of the pencil, the length of the marker is 130.8 millimeters.

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

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Answer:

218

Step-by-step explanation:

the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2

A^2 + 256 = 400

400 - 256 = 144

Square root of 144 is 12

Unknown side is 12

Find the area of the triangle:

16 x 12 = 192

192/2 = 96

The area is 96

Now find the area of the circle:

pi x the radius^2

The diameter is 20, so the radius is 10

Pi x 10^2 = 314

314 - 96 = 218

Answer:

x = 2a

Step-by-step explanation:

a(x - a) = a² ( divide both sides by a )

x - a = a ( add a to both sides )

x = 2a

Answer:

x = 2a

Step-by-step explanation:

Given equation

[tex]\sf a(x-a)=a^2[/tex]

Make x the subject

expand brackets:

[tex]\sf \implies ax-a^2=a^2[/tex]

Add [tex]\sf a^2[/tex] to both sides:

[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]

[tex]\sf \implies ax=2a^2[/tex]

Divide both sides by a:

[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]

[tex]\sf \implies x=2a[/tex]

Final solution

[tex]\sf x=2a[/tex]

Answer:

2

Step-by-step explanation:

As they are SIMILAR, they have a ratio!

15:5=3

So, the scale factor is 3 from triangle ABC to triangle XYZ

6/3=2

Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.

The number of years for the loan = 10-year

The loan amount = $5,500

The number of years for the interest = 6 years

The monthly payment formula is presented as follows;

[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]

Which gives;

[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]

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Check the picture below.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]

Using proportions, it is found that the desired amounts are given as follows:

a) 360 businesses employeed no women.

b) 41% of the businesses surveyed employed exactly one female supervisor.

c) 15.58% of the businesses surveyed employed no female supervisors.

d) 80.5% probability that it employed at least one female supervisor.

A proportion is a fraction of a total amount.

Item a:

18% out of the 2000 businesses surveyed, hence:

n = 0.18 x 2000 = 360.

Item b:

50% out of 82%, hence:

p = 0.5(0.82) = 0.41.

41% of the businesses surveyed employed exactly one female supervisor.

Item c:

19% out of 82%, hence:

p = 0.19(0.82) = 0.1558.

15.58% of the businesses surveyed employed no female supervisors.

Item d:

100 - 19.5 = 80.5% probability that it employed at least one female supervisor.

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