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Andrei [34K]
1 year ago
13

This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o

f the base of the prism?
Mathematics
1 answer:
Ne4ueva [31]1 year ago
5 0

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

Area=\frac{(a+b)}{2} \times c

Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

#SPJ1

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the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid
Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

  • The sides of the triangle = 2:7:8
  • The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

\mathbf{\to\dfrac{8}{17}\times x = 40}

\mathbf{x = 40 \div \dfrac{8}{17}}

\mathbf{x = 40 \times \dfrac{17}{8}}

x = 85

Now for the other two sides 2 and 7, their length is as follows.

\mathbf{\dfrac{2}{17}\times 85 = 10}

\mathbf{\dfrac{7}{17}\times 85 = 35}

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

brainly.com/question/2328454

3 0
2 years ago
The quotient of two numbers is negative. It must be true that _____.
3241004551 [841]
It must be true that one of the numbers is negative. Hope that helps!!
7 0
3 years ago
1 point
SashulF [63]

Answer:

The length of the slide is 10 feet.

Step-by-step explanation:

To find the length of the slide you have to use the formula:

a^2 + b^2 = c^2 (^2 means squared)

In this case:

a= 6 and b=8 c= unknown

6 squared (6 times 6) is 36

8 squared (8 times 8) is 64

Add these two numbers to get:

36+64=100

6^2+8^2=100

However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.

What number times itself equals 100? 10.

The length of the slide in 10 feet.

5 0
2 years ago
OPTIONS:
kondor19780726 [428]

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8)        Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8   (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8    Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8     (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4       It is equivalent to B

(-3x^2+x^4+x)+(2x^4-7+4x)       Combine like terms

-3x^2+x^4+2x^4+x+4x-7    (I rearranged for the like terms to be next to each other)

-3x^2+3x^4+5x-7    It is equivalent to D

(x² - 2x)(2x + 3)      Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x      Combine like terms

2x³ - x² - 6x         It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

x^{2} (x^3)=x^{(2+3)}=x^5

(y^3)x^2=y^3x^2         (You can't combine them because they have different exponents of y and x)

(5^2)(5^4)=5^{(2+4)}=5^6=15,625

7 0
3 years ago
Do you multiply or add,subtract,divide to get answer:200 12.6 and 21.5
mrs_skeptik [129]
What is the answer you want to get?
3 0
3 years ago
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