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3 years ago

What is side eAngle d and angle fPlease let me know asap

Mathematics

1 answer:

irga5000 [103]3 years ago

8 0

9514 1404 393

Answer:

e ≈ 9.608
D ≈ 46.5°
F ≈ 38.5°

Step-by-step explanation:

The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...

e² = d²+f² -2df·cos(E)

e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082

e ≈ 9.608

The remaining angles can be found from the law of sines.

sin(D)/d = sin(E)/e

D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°

F = 180° -95° -46.5° = 38.5°

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In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was 43.76 with standard deviati

klemol [59]

Answer:

Between 38.42 and 49.1.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 43.76, standard deviation of 2.67.

Between what two values will approximately 95% of the amounts be?

By the Empirical Rule, within 2 standard deviations of the mean. So

43.76 - 2*2.67 = 38.42

43.76 + 2*2.67 = 49.1

Between 38.42 and 49.1.

8 0

2 years ago

Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron P

Shtirlitz [24]

Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles

7 0

3 years ago

Read 2 more answers

Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

3 years ago

The rule that maps each domain value to its range value is f(x)= ___x.

kirill115 [55]

Answer:

f(x) = 1/2x

Step-by-step explanation:

When x = -4 the output is -2

We are dividing by 2

When x = -2 the output is -1

f(x) = 1/2 x

Check when x = 2

f(2) = 1/2 (2) =1

3 0

3 years ago

A container of club soda has a volume of 3200 cubic meter. How many liters of soda does the container hold

svetoff [14.1K]

Answer:

3200000

Step-by-step explanation:

multiply the volume value by 1000

7 0

3 years ago