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malfutka [58]
3 years ago
7

PLEASE HELP ME!! Does the following depict a translation, reflection, or rotation?

Mathematics
1 answer:
mash [69]3 years ago
5 0
It depicts a rotation
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Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24
Marrrta [24]

8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}

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2 years ago
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Solve the triangle given two angles and one side.
Rasek [7]

Answer:

a = 102.05

b = 393.76

B = 93°

Step-by-step explanation:

The law of sines tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

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The rounding requirement got cut out of your picture, so we can't help you with that.

3 0
3 years ago
Anna is covering the circular pool with a heavy-duty coer for the winter. The pool has a diameter of 24 feet. The cover extends
MrRa [10]
12 multiplied by 24.
7 0
3 years ago
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You deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly, and you make no withdrawals from or
faust18 [17]

Answer:

$5265.71

Step-by-step explanation:

We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.

We will use future value formula to solve our given problem.

FV=C_0\times (1+r)^n, where,

C_0=\text{Initial amount},

r = Rate of return in decimal form,

n = Number of periods.

4.8\%=\frac{4.8}{100}=0.048

n=3\times 4=12

FV=\$3,000\times (1+0.048)^{12}

FV=\$3,000\times (1.048)^{12}

FV=\$3,000\times 1.7552354909370114

FV=\$5265.7064\approx \$5265.71

Therefore, there will be $5265.71 in your account at the end of those 3 years.

8 0
4 years ago
What is the maximum number of real distinct roots that a cubic equation can have?
Hoochie [10]
3 but in most cases it is 2 real roots and one root has a multiplicity of 2
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4 years ago
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