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4 years ago

10

find the area and perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approx

imations)

1 answer:

vaieri [72.5K]4 years ago

8 0

Answer:

lolrsm

Step-by-step explanation:

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Sonji and her friend rachel are competing in a race. When sonji is 0.4 miles from the finish line she notices that her friend ra

goldfiish [28.3K]

Answer:

Sonji is 0.5 miles far from the finish line

Step-by-step explanation:

Data provided in the question:

Distance between the Sonji and the finish line = 0.4 miles

Distance run by Sonji back = one tenth of a mile

i.e = $\frac{1}{10}$ miles = 0.1 miles

Hence,

The total distance of Sonji from the finish line will be

= Distance between the Sonji and the finish line + Distance run by Sonji back

= 0.4 miles + 0.1 miles

= 0.5 miles

Hence,

Sonji is 0.5 miles far from the finish line

5 0

3 years ago

Please help me with Algebra 2 questions (2).

user100 [1]

8. The simplified form of the expression is $- 5 x^{\frac{4}{5}}y^{3}$

11. The value of x is 4

<h3>Simplifying an expression</h3>

From the question, we are to simplify the give expression

The given expression is

$y^{3}\sqrt[5]{32x^{4} } - 7\sqrt[5]{x^{4}y^{15} }$

$y^{3} (32x^{4} )^{\frac{1}{5} } - 7(x^{4}y^{15} )^{\frac{1}{5}$

$y^{3} \times 32^{\frac{1}{5} } x^{\frac{4}{5} } - 7 \times x^{\frac{4}{5}}y^{\frac{15}{5}}$

$y^{3} \times 2^{5 \times} ^{\frac{1}{5} } \times x^{\frac{4}{5} } - 7 \times x^{\frac{4}{5}}y^{3}$

$y^{3} \times 2 \times x^{\frac{4}{5} } - 7 \times x^{\frac{4}{5}}y^{3}$

$2 x^{\frac{4}{5} } y^{3} - 7 x^{\frac{4}{5}}y^{3}$

$= - 5 x^{\frac{4}{5}}y^{3}$

11. $\frac{1}{2}(5x+7 )^{\frac{2}{3} } =\frac{9}{2}$

Multiply both sides by 2

$2 \times \frac{1}{2}(5x+7 )^{\frac{2}{3} } =2 \times \frac{9}{2}$

$(5x+7 )^{\frac{2}{3} } =9$

Multiply both sides by a power of 3/2

$(5x+7 )^{\frac{2}{3} \times {\frac{3}{2} } } =9^{\frac{3}{2} }$

$(5x+7 )=3^{2 \times} ^{\frac{3}{2} }$

$5x+7 =3^{3}$

$5x+7 =27$

$5x =27-7$

$5x = 20$

$x = \frac{20}{5}$

x = 4

Hence,

8. The simplified form of the expression is $- 5 x^{\frac{4}{5}}y^{3}$

11. The value of x is 4

Learn more on Simplifying expressions here: brainly.com/question/11688560

#SPJ1

4 0

2 years ago

If g(x) = (x + 2)/3, find g(-8).

alisha [4.7K]

Answer:

-2

Step-by-step explanation:

Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2

7 0

3 years ago

Read 2 more answers

A clock which loses 4 minutes every half an hour is set 10 minutes fast. After 7 hours, what will be the difference between the

Nataly_w [17]

The answer to this question is -46.

4 0

3 years ago

If cosine of x equals 1 / 2, what is sin(x) and tan(x)? Explain your steps in complete sentences.

8_murik_8 [283]

Answer:

Step-by-step explanation:

+ we have

[sin(x)]^2 + [cos(x)]^2 = 1

so [cos(x)]= 1- [sin(x)]^2 = 1- (1/2)^2 = 1- 1/4 = 3/4

Then cos(x) can take one of two values;

+ cos(x) = $\frac{\sqrt{3} }{2}$

then tan(x)= sin(x)/cos(x) = (1/2)/ ( $\frac{\sqrt{3} }{2}$ ) = $\frac{\sqrt{3} }{3}$

+ cos(x) = - $\frac{\sqrt{3} }{2}$

then tan(x)= sin(x)/cos(x) = (1/2)/ (- $\frac{\sqrt{3} }{2}$ ) = - $\frac{\sqrt{3} }{3}$

Have a good day

5 0

3 years ago