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3 years ago

8

Express the following

1 answer:

krok68 [10]3 years ago

3 0

Answer:

1. 32

2. 24

3. $\frac{1}{12}$

4. $\frac{1}{8}$

5. 15

6. $\frac{1}{15}$

Step-by-step explanation:

1. 4÷ $\frac{1}{8} = 4*8=32$

2. 6÷ $\frac{1}{4} = 6*4=24$

3. $\frac{1}{3}$ ÷4= $\frac{1}{3}*\frac{1}{4} =\frac{1}{12}$

4. $\frac{1}{2}$ ÷4= $\frac{1}{2} *\frac{1}{4} =\frac{1}{8}$

5. 5÷ $\frac{1}{3} =5*3=15$

6. $\frac{1}3}$ ÷5= $\frac{1}{3} *\frac{1}{5} = \frac{1}{15}$

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Two similar triangles have have areas of 75 m2 and 12 m2. find the ratio of the perimeters

soldi70 [24.7K]

we know that having similar triangles so the ratio of sides,area and volume are same.

$s/s=s^2/s^2$

we know that $s^2$ will be the area of triangle.

$s^2/s^2=75/12$

so $s/s=\sqrt{75/12}$

so the ratio of the perimeter of two triangles will be

$(s+s+s)/(s+s+s)=(\sqrt{75} +\sqrt{75} +\sqrt{75} )/(\sqrt{12}+\sqrt{12} +\sqrt{12} )$

ratio of the perimeter= $\sqrt{225} /\sqrt{36}$

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

What is the amount of sales tax owed on a 550 dollar laptop computer if the tax rate is 15% ?

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2 years ago

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A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

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

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

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2 years ago

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Svetach [21]

Answer:

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Step-by-step explanation:

You should try the next one and I can check work or tell you if it is right.

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The radius is half the diameter so it is sqrt(32)/2.

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So plug into (x-h)^2+(y-k)^2=r^2 we get

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(I had to type this twice; my cat jump on my keyboard)

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