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irakobra [83]
3 years ago
6

Help please 15 point and explanation would be great

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

C) 70°

Step-by-step explanation:

whole circle = 360°

inscribed angle theorem  says that the measure of inscribed angle = 1/2 measure of intercepted arc

m∠DCB =1/2 m arc DB

46° = 1/2 m arc DB multiply  both sides by 2

92° = m arc DB

m arc DC = 360° - 92° -128° = 140°

m ∠DBC = 1/2 m arc DC = 1/2*140° = 70°°

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A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s
mojhsa [17]

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

\tan( \alpha )  =  \frac{34}{122}

\alpha  =  { \tan }^{ - 1}  \frac{34}{122}  = 15.57

3 0
2 years ago
if i have a line y=4x+7. I want to create another line that is perpendicular through point A (16,2). What is the new equation?
Charra [1.4K]
Perpendicular lines have the negative reciprocal slope, so the slope of your new line will be -1/4 and the current equation will be as follows:
y = -1/4x + b
(where b is the y intercept)

to find b, plug in point A and you'll get:
2 = -1/4(16) + b
2 = -4 + b
6 = b

the equation will be:
y = -1/4x + 6
4 0
3 years ago
Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

Thank you.

3 0
3 years ago
What is the solution to the system of equations graphed below?
Soloha48 [4]
Short Answer B
Remark

You need not do any calculations to get the answer. You are required just to read the graph. Doing the calculations would be beneficial but unnecessary.

Step One
Find the x value.
1. If you have a ruler or a straight edge of some kind, put it on the cross point of the two graphs.
2. Make the ruler go straight up and down. You will find out it goes 1 point back of the 5.
3. Count the number of squares from 0,0 or when y = 0.
4. You will find you have to count 4 squares along the x axis. 

The x value is 4.

Step Two
1. Put the ruler on the cross point again. This time make it go straight across. 
2. Count up from (0,0)
You should get 8.

The y value is 8

Answer: (4,8)

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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