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weeeeeb [17]
3 years ago
9

Question 2 Essay Worth 10 points)

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

Step-by-step explanation:

Fuel A is increasing by 4 % per month

1.04 - 1 = 0.04 = 4%

if the number with the exponent were less than 1.00, it would be decreasing.

Fuel B is increasing at a greater rate

(3.22 - 3.04) / 3.04 = 0.05921 = 5.9 % per month

(3.41 - 3.22) / 3.22 = 0.059006 = 5.9 % per month

(3.61 - 3.41) / 3.41 = 0.058651 = 5.9 % per month

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Acute △ABC with angles α, β, and γ is inscribed in a circle. Tangents to the circle at points A, B, and C intersect in points M,
SOVA2 [1]

Answer:

The measures of angles of triangle MNP are

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the measure of arcs AB, BC and AC

we know that

The inscribed angle is half that of the arc it comprises.

so

\gamma=\frac{1}{2}[arc\ AB] ----> arc\ AB=2\gamma\\\alpha=\frac{1}{2}[arc\ BC] ----> arc\ BC=2\alpha\\\beta=\frac{1}{2}[arc\ AC] ----> arc\ AC=2\beta

step 2

Find the measure of angle M

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

M=\frac{1}{2}[arc\ AB+arc\ BC-arc\ AC]

substitute

M=\frac{1}{2}[2\gamma+2\alpha-2\beta]\\M=[\gamma+\alpha-\beta]

step 3   

Find the measure of angle N

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

N=\frac{1}{2}[arc\ AC+arc\ BC-arc\ AB]

substitute

N=\frac{1}{2}[2\beta+2\alpha-2\gamma]\\N=[\beta+\alpha-\gamma]

step 4    

Find the measure of angle P

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

P=\frac{1}{2}[arc\ AC+arc\ AB-arc\ BC]

substitute

P=\frac{1}{2}[2\beta+2\gamma-2\alpha]\\P=[\beta+\gamma-\alpha]

5 0
4 years ago
What equals 62? and what factors equal 62
nexus9112 [7]
The only factors that equal 62 are

62 • 1 = 62
and
31 • 2 = 62.

Hope this helps!
3 0
4 years ago
Read 2 more answers
Please help me please help me
Pachacha [2.7K]

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

3 0
3 years ago
What is the slope of (0,4) and (3,10)? Please helppppp a girl outt !
dem82 [27]

Answer:

M=6 OR slope=6

Step-by-step explanation:

Use slope formula

3 0
3 years ago
Read 2 more answers
If triangle ABC is a right triangle AB is 21, BC is 42, and AC is 47, which of the following can be used to find the measure of
Readme [11.4K]

Answer:

Sin(A) = 42/47

Cos(A)=21/47

Tan(A)=42/21=2

5 0
4 years ago
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