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3 years ago

Use the Pythagorean theorem to find c!!!!

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

A^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
√100 = c
10 = c

hope this helped, pls mark brainliest :)

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How long does it take $500 to double at a simple interest rate of 24%?

yuradex [85]

Answer:

4 years and 2 months

Step-by-step explanation:

<u>Simple interest formula</u>

A = P(1 + rt)

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
t = time (in years)

Given:

A = $500 × 2 = $1,000
P = $500
r = 24% = 0.24

Substitute the given values into the formula and solve for t:

$\implies \sf 1000 = 500(1 + 0.24t)$

$\implies \sf \dfrac{1000}{500}=(1 + 0.24t)$

$\implies \sf 2=1 + 0.24t$

$\implies \sf 1 = 0.24t$

$\implies \sf t=\dfrac{1}{0.24}$

$\implies \sf t=4 \frac{1}{6} \:years$

$\implies \sf t=4\:years\:2\:months$

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

3 0

2 years ago

Solve this system of linear equations. Separate

Arte-miy333 [17]

Answer:

x = -7, y = -1

Step-by-step explanation:

Solve the following system:

{3 y - 2 x = 11 | (equation 1)

2 y + 3 x = -23 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = -23 | (equation 1)

-(2 x) + 3 y = 11 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + 2 y = -23 | (equation 1)

0 x+(13 y)/3 = -13/3 | (equation 2)

Multiply equation 2 by 3/13:

{3 x + 2 y = -23 | (equation 1)

0 x+y = -1 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = -21 | (equation 1)

0 x+y = -1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -7 | (equation 1)

0 x+y = -1 | (equation 2)

Collect results:

Answer: x = -7, y = -1

8 0

3 years ago

When a number is doubled, the result is 48. what is the number

maxonik [38]

Just simply divide

48/2= 24

so the answer is 24

I hope this helps!

7 0

3 years ago

Read 2 more answers

Exhibit 15-2A regression model between sales (y in $1000s), unit price (x1 in dollars) and television advertisement (x2 in dolla

Semmy [17]

Answer:

Sales are expected to increase positively.

Step-by-step explanation:

The model is y =7-3*X1+5*X2

Here, y is the depended variable and X1 and X2 are independent variable.

Holding the unit price constant X2 (television advertisement) is increase by $1 dollar

SSR= 3500

SSE=1500

So, TSS = SSR+SSE = (3500+1500) = 5000

Now r^2= 1 - (SSR/TSS) = 1 - (3,500/5,000) = 1 - 0.70 = 0.30

So, the sample correlation coefficient (r) = (0.3)^(1/2) = 0.547

We can conclude that sample correlation indicates a strong positive relationship.

7 0

4 years ago

In a bag of marbles 12% were red and 14% were blue,and the rst were white.If there were 250 marbles, how many were red and blue?

GenaCL600 [577]

Answer:

Step-by-step explanation:

Hi,

I think you mean red or blue.

Number which are red or blue = 12 + 14

= 26% or 0.26

The number of red and blue = 0.26 * 250

= 65 marbles

4 0

3 years ago