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3 years ago

Find the length of side a a A. 12 B. 144 C. 1 194 D. 8

Mathematics

2 answers:

lukranit [14]3 years ago

7 0

Answer:

Step-by-step explanation:

KonstantinChe [14]3 years ago

6 0

Answer:

A) 12

Step-by-step explanation:

We are gonna use the the formula for the Pythagorean Theorem

a^2 + b^2 = c^2

so that will be 5^2 + b^2 = 13^2

so now that we have the equation we just solve it

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2 = 144

b = 12

Check:

5^2 + 12^2 = 13^2

25 + 144 = 169

so the answer is A) 12

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What is the percentage change for 60 to 35

Reil [10]

Let x represent the percentage change. The percentage change is a factor that the original number is multiplied to get the new number.

60*x = 35
x = 35/65 = 0.53846 = 53.846%

3 0

3 years ago

Find BC if B(8,-7) and C1-4,-2).

Alika [10]

Using distance formula :

$\sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} }$

$\sqrt{(8 - ( - 4)) {}^{2} + ( - 7 - ( - 2)) {}^{2} }$

$\sqrt{(12) {}^{2} + ( - 5) {}^{2} }$

$\sqrt{144 + 25}$

$\sqrt{169}$

$13 \: \: units$

4 0

3 years ago

I need help with (-2.3) * 4.7

kykrilka [37]

(-2.3)*4.7 would be equal to -10.81

8 0

2 years ago

100 POINTSSS! ASAP ANSWEERR PLS

Margarita [4]

PART A

Given:

f(x) = 0.69(1.03)x

To find:

If the price of the product is increasing or decreasing and by what percentage

Steps:

we know the formula to find the price of Product A per year, so

f(1) = 0.69 * 1.03 * 1

Price = $0.7107

f(2) = 0.69 * 1.03 * 2

Price = $1.4214

Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.

Now to find percentage increase,

Percentage increase = $\frac{FV-SV}{SV}*100$ (FV = final value, SV = starting value)

Percentage increase = $\frac{1.4214 - 0.7107}{0.7107}*100$

Percentage increase = $\frac{0.7107}{0.7107}*100$

Percentage increase = 100 %

Therefore, the percentage increase of Product A is 100%

PART B

Given:

Price of product B in 1st year = $10,100

Price of product B in 2nd year = $10,201

Price of product B in 3rd year = $10,303.01

Price of product B in 4th year = $10,406.04

To find:

Which product recorded a greater percentage change over the previous year

Steps:

We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B

PC of product B from 1st to 2nd year = $\frac{10,201-10,100}{10,100}*100$

= $\frac{101}{10,100}*100$

= 0.01 * 100

= 1 %

PC of product B from 2nd to 3rd year = $\frac{10,303.01-10,201}{10,201} *100$

= 1%

PC of product B from 3rd to 4th year $=\frac{10,406.04-10,303.01}{10,303.01}*100$

≈ 1%

So, percentage change of product B is 1% per year

Therefore, Product A has greater percentage change

Happy to help :)

If u need more help, feel free to ask

6 0

3 years ago

A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He

Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

$A'(x)=\frac{d}{dx}(80x-2x^{2})$

= 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = $\frac{80}{4}$

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

= 1600 - 800

= 800 square feet

Maximum area of the patio is 800 square feet.

7 0

3 years ago

Find the length of side a a A. 12 B. 144 C. 1 194 D. 8​

Find the length of side a a A. 12 B. 144 C. 1 194 D. 8