MATHEMATICS COLLEGE

Right triangle ABC is shown. Which of these is equal to cos(A)?A) cos(B)
B) cos(C)
C) sin(B)
D) sin(C)
Right triangle ABC is shown. Which of these is equal - 1

Answers

Answer 1
Answer: Answer: C

cosA=AC/AB

sinB=AC/AB

hence cosA=sinB
Answer 2
Answer:

Answer:

C).

Step-by-step explanation:

Since angles A and B are complementary, their cofunctions are equal. So, cos(A) = sin(B).

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Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the sale price of the clothes iron?

Answers

Answer:

35 - 0.15 * 35 so it is $29.75

Step-by-step explanation:

I got u

Answer:

$29.75

Step-by-step explanation:

15% = .15

.15 x 35 = 5.25

35 - 5.25 = 29.75

Sky needs $6700 for school and has two options. Option A: 5 years at 5% interest with monthly payments of $126.44 Option B: 6 years at 3.5% interest with monthly payments of $103.30 Calculate the total payback on each loan and calculate how much Sky will save by choosing option B.

Answers

Answer:

148.80

Step-by-step explanation:

Take 126.44 multiply by 60 months equals 7586.40

Take 103.30 multiply by 72 months equals 7437.60

Subtract 7437.60 from 7586.40

Final answer:

The total payback for Option A would be $7,586.4 and for Option B it would be $7,437.60. The difference of $148.8 indicates the savings Sky would have by choosing Option B over Option A.

Explanation:

Firstly, to calculate the total payback for each loan, you multiply the number of payments by the monthly payment amount. For Option A, that's 5 years times 12 payments per year, times a monthly payment of $126.44. Which gives us a total payback of 5 * 12 * 126.44 = $7,586.4. Next, calculate the payback for Option B in the same way: 6 years times 12 payments per year, times a monthly payment of $103.30. Which gives us 6 * 12 * 103.30 = $7,437.60.

Then, we subtract the total payback of Option B from that of Option A to find the savings: $7,586.4 - $7,437.60 = $148.8. So, by choosing option B, Sky would save $148.8.

Learn more about Loan Comparison here:

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Find the slope using the formula.
(4, 19) and (2, 11)

Answers

Answer:

m=4

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

  • Slope Formula: m=(y_2-y_1)/(x_2-x_1)

Step-by-step explanation:

Step 1: Define

(4, 19)

(2, 11)

Step 2: Find slope m

  1. Substitute:                    m=(11-19)/(2-4)
  2. Subtract:                       m=(-8)/(-2)
  3. Divide:                          m=4

In the diagram, the measure of angle 6 is 98.what is the measure of angle 7?what is the measure of angle 7?

56 degrees
84 degrees
96 degrees
124 degrees

Answers

the answer his 24 degrees

A 1-kg model airplane has 12.5 joules of kinetic energy and 98 joules of gravitational potential energy. What is its speed? What is its height?

Answers

The formula for the kinetic energy is:

Ke = 0.5mv^2

Where ke is the kinetic enrgy

M is the mass

V is the velocity

Ke = 0.5mv^2

12.5 = 0.5(1) v^2

Solve for v

V = 5 m/s

Potential energy, pe = mgh

Where m is mass

G is accelearation due to gravity 9.8 m/s2

H is the height

98 = (1)(9.8) h

H = 10 m

                       
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