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2 years ago

Find the measures of the interior angles.

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

7 0

Answer:

45 degrees.

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.

We can form an equation: x+x+65+25=180

2x+90=180

2x=90

x=45.

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You have $5600. The best interest rate you can find is 3%

EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

$A = P(1 + \frac{r}{n})^{nt}$

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

$\frac{A}{P} = (1 + \frac{r}{n})^{nt}$

Taking logs on both sides

$log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}$

This gives

$log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}$

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0

1 year ago

PLZZZZZ help A car's gas tank that is 40% full contains 12 gallons of gas. Show the math you used to find the maximum capacity o

Romashka-Z-Leto [24]

<h3><u><em>Answer:</em></u></h3><h3><u><em>30</em></u></h3><h3><u><em>Step-by-step explanation:</em></u></h3><h3><u><em>Answer: 30 gallons</em></u></h3><h3><u><em></em></u></h3><h3><u><em>Step-by-step explanation:</em></u></h3><h3><u><em></em></u></h3><h3><u><em>So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. </em></u></h3><h3><u><em>Then we figure out half of 40 percent which is 20 which means its 6 gallons. </em></u></h3><h3><u><em>Now we add. 12+12+6 which equals our answer 30 gallons</em></u></h3><h3><u><em></em></u></h3>

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2 years ago

A cylinder has volume 63 cm3. What is the volume of a cone with the same radius and height?

aev [14]

it's answer is

volume of a cone = 21

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natulia [17]

Answer:

Step-by-step explanation:

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Sum of 2 numbers is 5 difference of the same 2 numbers is 9

liq [111]

Answer:

5 and 4

Step-by-step explanation:

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