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Ray Of Light [21]

3 years ago

13

Bernardo skates at a circular rink that has a radius of 4 yards. If he uses 3.14 for π , what area would he estimate for the ska

ting rink? * 1 point Option 4 12 yards 50 yards 25 yards

1 answer:

beks73 [17]3 years ago

7 0

Answer: 50 yards

Step-by-step explanation: area of a circle is πr² so 3.14 x 4² = 50.24

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slava [35]

Answer: 67,892

Step-by-step explanation:

Who's your favorite dragon ball character

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3 years ago

Find sin(2x), cos(2x), and tan(2x) from the given information.

larisa86 [58]

Since $\cot(x)=\frac{2}{3}$ and $\cot^{2} x+1=\csc^{2} x$ , we know that:

$\left(\frac{2}{3} \right)^{2}+1=\csc^{2} x\\\\\frac{13}{9}=\csc^{2} x\\\\\csc x=\frac{\sqrt{13}}{3}$

If $\csc x=\frac{\sqrt{13}}{3}$ , this means that $\sin x=\frac{3}{\sqrt{13}}$ and by the Pythagorean identity,

$\sin^{2} x+\cos^{2} x=1\\\left(\frac{3}{\sqrt{13}} \right)^{2}+\cos^{2} x=1\\\frac{9}{13}+\cos^{2} x=1\\\cos^{2} x=\frac{4}13}\\\cos x=\frac{2}{\sqrt{13}}$

Using the double angle formula for sine, $\sin(2x)=2\left(\frac{3}{\sqrt{13}} \right)\left(\frac{2}{\sqrt{13}} \right)=\boxed{\frac{12}{13}}$
Using the double angle formula for cosine, $\cos(2x)=1-2\left(\frac{3}{\sqrt{13}} \right)^{2}=\boxed{-\frac{5}{13}}$
So, since tan=sin/cos, $\tan (2x)=\frac{\sin(2x)}{\cos(2x)}=\frac{\frac{12}{13}}{-\frac{5}{13}}=\boxed{-\frac{12}{5}}$

7 0

2 years ago

Lelu [443]

In the order you have it from least to greatest is 1 3 2

4 0

3 years ago

Morton made 36 out of 48 free throws last season. What percent of his free throws did Morton make. Help!!! T-T

blondinia [14]

75 % free throws are made by Morton

<em><u>Solution:</u></em>

Given that Morton made 36 out of 48 free throws last season

To find: Percent of free throws made by Morton

From given statement,

total number of throws = 48

throws made by morton = 36

<em><u>Thus the percent of free throws made by Morton is given as:</u></em>

$percent = \frac{\text{number of throws made}}{\text{total number of throws}} \times 100$

Substituting the values, we get

$percent = \frac{36}{48} \times 100\\\\percent = 0.75 \times 100 = 75 %$

Thus 75 % of his free throws are made by Morton

4 0

3 years ago

likoan [24]

Answer:

1/4

Step-by-step explanation:

add the ratios

3+5=8

240 Divided by 8=30

3x30=90

5x30=150

Ann(90)

Bob150)

90/2=45 (remeber Ann gave half)

150/10=15 (remeber Bob gave a tenth)

45+15=60 (Colin received this amount)

60/240=1/4

8 0

4 years ago