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Juliette [100K]
3 years ago
12

Abby took an 8-question multiple-choice quiz. Suppose

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0
It is 0.0623 hope it helps
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Find the prime factorizations foor the following numbers 36 and 84
Varvara68 [4.7K]
Answer:

36 = 2² * 3²
84 = 2² * 3 * 7


Explanation:

Pf of 36 = 2 * 2 * 3 * 3 which then becomes 2 (to the power of 2) times 3 (to the power of 2)

Pf of 84 = 2 * 2 * 3 * 7 which then becomes 2 (to the power of 2) * 3 * 7

If this helps it would be greatly appreciated if you thanked me.
6 0
3 years ago
Find the ratio of:<br> (a) 5 km to 400 m<br> (b) 2 hours to 160 minutes
aleksandr82 [10.1K]

Answer:

Answer - a) 1:80

               b) 1:80

Step-by-step explanation:

All the ratio should be written in lowest form. these are the answers for both the questions.

Pls Mark Brainliest !!!!!!!!!!!!!!

6 0
2 years ago
Read 2 more answers
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
How tall is a tree which is 15 feet shorter than a pole that is 3 times as tall as the tree?
Citrus2011 [14]
<h2>Height of tree is 7.5 feet</h2>

Step-by-step explanation:

Let t be the height of pole.

Given that the tree is 5 feet shorter than a pole.

Height of pole = t + 15

Also given that the pole is 3 times as tall as the tree.

Height of pole = 3t

So we have

              t + 15 = 3t

                 2t = 15

                   t = 7.5 feet

Height of tree = 7.5 feet

7 0
3 years ago
What is the slope of the line that passes through the points (2,7) and (8,-5)
Nookie1986 [14]

Answer:

m = -12 / 6 = -2 / 1 = -2

So its -2

3 0
3 years ago
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