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choli [55]
3 years ago
13

What quantity will correctly complete the formula? arc length = ?/360circumference

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0
? should be the angle measure of the arc.
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In triangle ABC, mA= 40°, the length of side AB is 7 cm and the length of side BC is 5 cm. Find the measure of angle C using the
Sauron [17]

Answer:

C = 64.145º

Step-by-step explanation:

The Law of Sines is as follows:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

The problem can be draw as the picture attached.

Now, the values of the sides and angles can be substituted into the Law of Sines, and because all parts are equal, only two are needed:

\frac{sin40}{5} = \frac{sinC}{7}

Next, cross-multiply:

7sin40º = 5sinC

Then, divide both sides by 5:

\frac{7sin40}{5} = sinC

Finally, take the inverse sin of the left side and convert into a decimal:

C = sin^{-1}(\frac{7sin40}{5})

C = 64.145

6 0
4 years ago
The radius of the base of a cone is 16 m. Its slant height is 28 m. What is the surface area in
11111nata11111 [884]

Answer:

704π m^2

Step-by-step explanation:

Given data

radius r= 16m

Slant height l= 28m

Required

The surface area of the cone

The expression for the surface area is given as

T.S.A=πrl+πr^2  

substitute

T.S.A=π*16*28+π*16^2

T.S.A=448π+256π

T.S.A=704π m^2

Hence the T.S.A is 704π m^2

4 0
3 years ago
What would be the answer
Bogdan [553]

Answer: A.)

Step-by-step explanation:

6 0
4 years ago
Find formulas for​ X, Y, and Z in terms of​ A, B, and C. It may be necessary to make assumptions about the size of a matrix in o
vfiekz [6]

Answer:

Here the answer is given as follows,

7 0
3 years ago
A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]​
Ilya [14]
We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55
5 0
3 years ago
Read 2 more answers
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