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anyanavicka [17]
3 years ago
10

This is the straight path connecting two points and extending infinitely in both directions.

Mathematics
2 answers:
polet [3.4K]3 years ago
5 0
Are you talking about a Vertex
denis-greek [22]3 years ago
4 0

Answer:

???

Step-by-step explanation:

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In ΔBCD, the measure of ∠D=90°, the measure of ∠C=83°, and DB = 95 feet. Find the length of BC to the nearest tenth of a foot.
Paha777 [63]

Answer:

95.7

Step-by-step explanation:

\sin C = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{95}{x}

sinC=

hypotenuse

opposite

​

=

x

95

​

\sin 83=\frac{95}{x}

sin83=

x

95

​

x\sin 83=95

xsin83=95

Cross multiply.

\frac{x\sin 83}{\sin 83}=\frac{95}{\sin 83}

sin83

xsin83

​

=

sin83

95

​

Divide each side by sin 83.

x=\frac{95}{\sin 83}=95.7134\approx 95.7\text{ feet}

x=

sin83

95

​

=95.7134≈95.7 feet

Type into calculator and roundto the nearest tenth of a foot.

8 0
3 years ago
Consider the circle of radius 5 centered at (0,0), how do you find an equation of the line tangent to the circle at the point (3
Flauer [41]

\text{We know that the tangent at any point on a circle is perpendicular}\\
\text{to the radius at that point.}\\
\\
\text{so first we find the equation of the line joining (0,0) and (3,4)}\\
\text{and then using the slope, we find the line perperndicular to it at (3,4)}\\
\\
\text{the equation of the line passing through (0,0) and (3,4) is}\\
\\
y-0=\frac{4-0}{3-0}(x-0)

\Rightarrow y=\frac{4}{3}x\\
\\
\text{so the slope of radius is }m=\frac{4}{3}.\\
\\
\text{we know that the product of the perpendicular lines is }-1. \\
\\
\text{so the slope of the perpendicular line would be}=-\frac{1}{4/3}=-\frac{3}{4}\\
\\
\text{So the equation of the tangent line has slope }-\frac{3}{4} \text{ and}\\
\text{passing through (3,4). so equation of tangent line is}

y-4=-\frac{3}{4}(x-3)\\
\\
\Rightarrow y-4=-\frac{3}{4}x+\frac{9}{4}\\
\\
\Rightarrow y=-\frac{3}{4}x+\frac{9}{4}+4\\
\\
\Rightarrow y=-\frac{3}{4}x+\frac{9+16}{4}\\
\\
\text{so the equation of tangent line is:} y=-\frac{3}{4}x+\frac{25}{4}

5 0
4 years ago
What is the Value<br> out in the equation<br> 3/4 (z+4)=9
alisha [4.7K]

Answer:

z = 8

Step-by-step explanation:

3/4 (z+4)=9

3/4z + 3 = 9

3/4z = 6

z = 8

8 0
3 years ago
A cone has a diameter of 4 cm and a height that is 6 times the diameter. Using 3.14 for pi, which of the following can be used t
Triss [41]

Answer:

1/3(3.14)2^2(24)

Step-by-step explanation:

The volume of a cone is given by the formula;

1/3πr³

Considering the radius is 2 cm and the height is 24 cm (4 times the diameter).

Therefore;

Volume = 1/2(3.14)2²(24)

            This can be used to calculate the volume.

3 0
3 years ago
GIVING 100 POINTS PLEASE HELP!<br><br> solve for x enter the number that belongs in the green box
Alina [70]

Answer:

is there any thing else to go with this problem if there is let me know so I can fully try to help you.

6 0
3 years ago
Read 2 more answers
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