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3 years ago

Find the soluations to (x+3)^2=49

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

Answer:

x = 4 , − 10

Step-by-step explanation:

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A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14

Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = $\frac{Perpendicular}{Base}$

tan 18 = $\frac{65 -y}{x}$

∴ x = $\frac{65 -y}{tan 18}$ ................ (1)

In ΔOBC

tan 14 = $\frac{Perpendicular}{Base}$

tan 14 = $\frac{y}{x}$

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = $\frac{65}{tan 18 + tan 14}$

x = $\frac{65}{0.574}$

∵ tan 18 + tan 14 = 0.574

∴ x = 113.2 ft

i.e. The her distance from the pole is 113.2 ft.

3 0

3 years ago

In exercises 21 through 24 is it possible to construct a triangle if the given side lengths? If not explain why.

sattari [20]

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7 0

3 years ago

A halloween assorted bag of candy contains 4 Snickers, 2 packages of M&M's, & 3 Butterfingers. What is the probability o

a_sh-v [17]

Answer:

2/27

Step-by-step explanation:

In the question we have:

4 snickers

2 packages of M&M's

3 Butterfingers.

Total number of candies in the Halloween bag = 9

Probability of selecting some M&M's and putting them back = 2/9

Probability of selecting a Butter finger = 3/9

Therefore, the probability of selecting some M&M's, putting them back, and then selecting a Butterfinger =

Probability of selecting some M&M's and putting them back × Probability of selecting a Butter finger

2/9 × 3/9

= 6/ 81

= 2/27

3 0

3 years ago

Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).

vivado [14]

The equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

Explanation:

The equation of the line is perpendicular to $y=-14 x-8$

The equation is of the form $y=mx+b$ where m=-14

Slope:

The slope of the perpendicular line can be determined using the formula,

$m_1 \cdot m_2=-1$

$-14 \cdot m_2=-1$

$m_2=\frac{1}{14}$

Thus, the slope of the line is $m=\frac{1}{14}$

Equation of the line:

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the slope $m=\frac{1}{14}$ and the point (2,-4), we get,

$y+4=\frac{1}{14}(x-2)$

Simplifying, we get,

$y+4=\frac{1}{14}x-\frac{1}{7}$

$y=\frac{1}{14}x-\frac{1}{7}-4$

$y=\frac{1}{4}x-\frac{29}{7}$

Thus, the equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

3 0

3 years ago

What is the area of the circle? *

bija089 [108]

Answer:

The answer is 314.159 which can be rounded to 314.

4 0

2 years ago