Find the height of a prism with volume 720cm3 and base area 45cm2

Hey there! I'm happy to help!

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WHAT IS THE PERIMETER?

The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.

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WHAT IS AN ISOSCELES TRIANGLE?

An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!

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THE SOLUTION

In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.

The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.

Therefore, the perimeter of this isosceles triangle is 2a+c.

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I hope that this helps! Have a wonderful day! :D

Answer:

[tex]x^2+x[/tex]

Step-by-step explanation:

What this question is asking us to do is to find the area of the square and the rectangle individually and then add them together to find the total area of the whole rectangle.

Firstly, let us find the area of each of the rectangles.

Let us start with the light-blue square. It has side lengths x and x

This means that the area of this square is [tex]x*x=x^2[/tex]

Now the dark blue rectangle. It has sides with lengths x and 1.

This means that the area of this rectangle is [tex]x*1=x[/tex]

Now that we have the area of each of the rectangles, we can add them together to get the area of the whole rectangle

[tex]x^2+x[/tex]

Answer:

(x-9)(x+1)

Step-by-step explanation:

factor using the box method or quadratic formula.

Answer:

(x - 9)(x + 1)

Step-by-step explanation:

Given

x² - 8x - 9

Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)

The factors are - 9 and + 1, since

- 9 × 1 = - 9 and - 9 + 1 = - 8, thus

x² - 8x - 9 = (x - 9)(x + 1)

Answer:

50.24inches

Step-by-step explanation:

Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)

Answer:

27

Step-by-step explanation:

180 is always the total of the triangle measurements. Therefore,

180-(91+62)=27

Answer:

27°

Step-by-step explanation:

A triangle is 180 degrees

So you begin with what you know 91 degrees and 62degrees

So 180-91-62=27degrees

So your answer is 27degrees

Answer:

$4.50 for 9 cans

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13

Answer:

78.5 m²

Step-by-step explanation:

Area formula: πr²

Plug it in: (3.14)(5m)²

Answer: 78.5 m²

[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]

First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]

2 + 3 = [tex]\frac{1}{4}[/tex]x

[tex]\frac{1}{4} x = 5[/tex]

Now, we will multiply both sides by 4, so as to find x.

[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4

x = 20

Therefore, x = 20.

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Answer:

A- isosceles

B- equilateral

C- scalene

Answer:

Triangle A

Isosceles

Triangle B

Equilateral

Triangle C

Scalene

Hope this helped

Answer:

x > 4

Step-by-step explanation:

-3x -24 < -36

Add 24 to each side

-3x -24+24 < -36+24

-3x< -12

Divide each side by -3, remembering to flip the inequality

-3x/-3 >-12/-3

x > 4

Answer:

x > 4

Step-by-step explanation:

Given equation,

→ -3x - 24 < -36

Now the value of x will be,

→ -3x - 24 < -36

→ -3x < -36 + 24

→ -3x < -12

→ x > -12/-3

→ x > 12/3

→ [ x > 4 ]

Hence, the answer is x > 4.

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

#SPJ5

Answer:

D.

$2,071.20

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.

Answer: A

Step-by-step explanation:

We know the y intercept is -6 so the first point will be  (0,-6)   and we also know that the slope is  2/1  so after plotting (0.-6) you will have to go up by two and  1 unit to the right.  

Answer:

The answer is A!

Step-by-step explanation:

I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)

Answer:

37 - 5 = 32

32/4 = 8

8 students are in each of the 4 rows

Answer: there are 8 students in each of the 4 equal rows

Step-by-step explanation:

x = # of students in each of the 4 rows

4x + 5 = 37

4x = 32

x = 8

There are 8 students in each of the 4 rows.

You can check this:

4 rows of 8 students —> 4(8) = 32 students

+ 5 students in the first row

= 37 students total

Answer:

$6769

Step-by-step explanation:

To calculate the amount, we make use of the compound interest formula

A = P(1+r/n)^nt

where A is the amount which we are to calculate

P is the amount deposited which is $5,600

r is the rate which is 1.9% or 1.9/100 = 0.019

t is the number of years = 10

n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)

Plugging all these values, we have

A = 5,600(1+ 0.019/4)^40

A = 5,600( 1 + 0.00475)^40

A = 5,600(1.00475)^40

A = $6768.75

Which is $6769 to the nearest dollars

Answer:

what is the nth day?

Step-by-step explanation:

Answer:

A

Step-by-step explanation: an=1.25(an-1-16);a1=64

:)

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.

Apply the BODMAS rule to simplify the algebraic expression.

Given that the expression is [tex]2[32-(4-1)][/tex]

First, simplify the bracket [tex](4-1)[/tex]

Then, [tex]2[32-(4-1)]=2[32-3][/tex]

Simplify the bracket [tex][32-3][/tex]

Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]

Multiply the numbers [tex]2[/tex] and [tex]29[/tex]

[tex]2[/tex] × [tex]29=58[/tex]

Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].

Learn more about simplification here-https://brainly.com/question/17579585

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Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

Answer:

I got B) ; 54m2

Step-by-step explanation:

the above diagram is a trapezium.

the area is gotten by; 1/2 (a+b)h

a = shortest side.

b = the longer side that is directly opposite to (a).

h = height.

1/2(3 + 9)9

1/2 by 12 by 9

to get 54

Answer:

multiplication i think? correct me if im wrong:)

Step-by-step explanation:

bye.

The answer is [ C. Multiply ]

The inverse operation of division is multiplication and vice versa.

The inverse operation of subtraction is addition and vice versa.

Solve for x.

x/6.8 = 5

~Multiply 6.8 to both sides

x/6.8 * 6.8 = 5 * 6.8

~Simplify

x = 34

Best of Luck!

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

[tex]70 + 80 = 150\\150/2 = 75[/tex]

The median is about 75.

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Add all numbers in the set.

[tex]100+88+50+50+90+70+80 = 528[/tex]

Divide by the number of values in the set.

[tex]528/7 = 75.4285714286[/tex]

75.4285714286 ≈ 75.4

The mean is about 75.4.

Subtract the smallest number in the data set from the largest number in the data set.

[tex]100-50=50[/tex]

The range is 50.

Brainilest appreciated.

Answer:

They need five weeks to make all their travels.

Step-by-step explanation:

Given that Cesar and Jocelyn are planning their trips to three countries next year.

One trip will be one week long, another two days, and the other two weeks.

In conclusion, they need five weeks to make this travel.

Answer:

-6 and 2

Step-by-step explanation:

Answer:

105.3 inches^3

Step-by-step explanation:

you have to multiply 6.5*4.5*4*.9 to get 105.3