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Maksim231197 [3]
3 years ago
11

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

<em>∴ x = 113.2 ft</em>

<em>i.e. The her distance from the pole is 113.2 ft.</em>

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&amp;M's, &amp; 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

<u>Slope:</u>

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}

<u>Equation of the line:</u>

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
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