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2 years ago

What is the surface area of a cube that has a side length of 5 feet?

Mathematics

1 answer:

harkovskaia [24]2 years ago

6 0

Hello!

<h3><em><u>Answer</u></em></h3><h3 />

The surface area of the cube is 150 $ft^{2}$ .

<h3><em><u>Explanation</u></em></h3>

A = 6 $a^{2}$

A = 6 $5^{2}$

A = 6 × 25

A = 150

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Look at picture<br>look at picture

Anestetic [448]

Answer:

point ??????? I think not sure

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2 years ago

When Spencer was 5, he was 28 inches tall. Today he is 5 feet 3 inches tall. What is the percent increase in Spencer’s height?

Flura [38]

Answer:

The percentage increase in Spencer’s height is 125 %

Solution:

$\begin{array}{l}{\text { Percentage increase }=\frac{\text { change in height }}{\text { initial height }} \times 100 \%} \\\\ {\text { percentage increase }=\frac{\text { increased height - initial height }}{\text { initial height }} \times 100 \%}\end{array}$

Initial height of spencer = 28 inches

Increased height of spencer = 5 feet 3 inches

= 5 feet + 3 inches

(5 feet = 5 ×12=60 inches)

= 60 + 3

$\begin{array}{l}{\text { Increased height }=63 \text { inches }} \\ {\text { Percentage increase }=\frac{63-28}{28} \times 100 \%} \\\\ {=\frac{35}{28} \times 100 \%} \\\\ {=1.25 \times 100 \%} \\ {\text { percentage increase in height of spencer }=125 \%}\end{array}$

5 0

3 years ago

A trader bought m apples for $12.

Aleks [24]

Answer:

a) total cost of m apples= $12 = 1200 cents

($1= 100cents, so $12= 12×100 cents)

cost of each apple= 1200/m

b) Number of apples sold= m-3

selling price of each apple= (1200/m) +2

Total sum received from sales:

$(\frac{1200}{m} + 2)(m - 3) \\ = \frac{1200}{m} (m) - 3( \frac{1200}{m}) + 2m - 3(2) \\ = 1200 - \frac{3600}{m} + 2m - 6 \\ = (2m + 1194 - \frac{3600}{m} ) \: cents$

c) profit= amount received- amount spent on buying apples

96= 2m +1194 -3600/m -1200

2m -6 -96 -3600/m =0 (simplify, bring 96 over)

2m- 102 -3600/m =0

2m^2 -102m -3600 =0 (multiply by m on both sides)

m^2 -51m -1800 =0 (divide by 2 on both sides)

(shown)

d) m^2 -51m -1800=0

$x = \frac{ -b± \sqrt{{b}^{2} - 4ac } }{2a}$

Hence, using the above formula,

$m = \frac{ - ( -51)± \sqrt{( - 51) {}^{2} - 4(1)( - 1800) } }{2(1) } \\ m = \frac{51± \sqrt{9801} }{2} \\ m = 75 \: \: \: \: \: or \: \: \: \: \: m = - 24$

e) Thus, selling price of each apple

= 1200/75 +2

= 18 cents

This is found by substituting the value of m, which is 75, into the equation of the selling price of each apple which we found earlier in part b.

note: do not reject m= -24 in part d because you are simply solving the equation not finding out the number of apples the trader bought, m.

We ignore m= -24 in part e as it is not possible for the number of apples bought be a negative number

6 0

3 years ago

1) If two angles have a sum of 180 degrees, what is the relationship<br> between them?*

yulyashka [42]

Answer:

the two angles can be right angles

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,

Lisa [10]

Answer:

I believe the answer is c.) x=4

Step-by-step explanation:

I saw this on a webpage:

The moment we see “x,” we can consider picking numbers. The key here is contemplating how complicated the number should be. Swim with the current – let the question tell you. A quick look at the answer choices reveals that x could be something simple. Ultimately, we’re just dividing this value by 2, 3, 4, 5, or 6.

Keeping this in mind, let’s think about the first line of the question. If there are 3 times as many adults as children, and we’re keeping things simple, we can say that there are 3 adults and 1 child, for a total of 4 people. So, x = 4.

Now, we know that among our 3 adults, there are twice as many women as men. So let’s say there are 2 women and 1 man. Easy enough. In sum, we have 2 women, 1 man, and 1 child at this picnic, and a total of 4 people. The question is how many men are there? There’s just 1! So now we plug x = 4 into the answers and keep going until we find x = 1. Clearly x/4 will work, so C is our answer. The key was to let the question dictate our approach rather than trying to impose an approach on the question.

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3 years ago

Read 2 more answers