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3 years ago

In the figure to the right, if AC=12 and BC=9, what is the radius?

Mathematics

1 answer:

ella [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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What is the value of x?

Ratling [72]

Answer:

4x+7 = 5x-20

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

4 0

3 years ago

4. = 38 -8(n-1), n=1, 2, 3...

stepladder [879]

Answer:

$38-8\left(n-1\right),\:n=123:\quad -938$

$\mathrm{For}\:38-8\left(n-1\right)\:\mathrm{substitute}\:n\space\mathrm{\:with\:}\space123$

$38-8(123-1)= -938$

$-938$

Step-by-step explanation:

5 0

2 years ago

Ian is going to water his plants is it reasonable to say he will fill the watering can with 3 liters of water explain

Y_Kistochka [10]

This is possible for a smaller watering can. 3 liters is about 3/4 of a gallon (imagine a jug of milk).

It is equivalent to 3000 ml, which would also be 100 ounces of water.(5 -20 oz bottles of water).

4 0

3 years ago

An individual saves $5000 in a bank account at the beginning of each year for 10 years.

frozen [14]

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

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

Putting values:

$A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832$

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

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

Putting values:

$A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5$

So, Amount saved if the interest is compounded semi-annually is $5849.5

4 0

3 years ago

College algebra chapter 3

Harman [31]

Equation given: $S = 16t^2$

S: distance fallen --> 1279 ft
t: time taken for the distance fallen

Solve:

$S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9$

Thus it took 8 seconds for the thing to fall from the top

Hope that helps!

5 0

2 years ago