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Vinil7 [7]
3 years ago
6

Find the value of x. Round to the nearest degree

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

b. 44°

Step-by-step explanation:

Reference angle = x

Hypotenuse = 21

Adjacent = 15

Apply trigonometric function CAH:

Cos(x) = \frac{Adj}{Hyp}

Cos(x) = \frac{15}{21}

x = cos^{-1}(\frac{15}{21})

x = 44.4153086° ≈ 44° (nearest degree)

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Plz help
Yuliya22 [10]

Answer:

Solution: x = 2, y = -1 or (2, -1)

Step-by-step explanation:

Equation 1:  2x + y = 3

Equation 2: 5x - 2y = 12

Using the substitution method:

Transform the Equation 1 into its slope-intercept form:

2x + y = 3

2x - 2x + y = -2x + 3

y = 2x + 3

Substitute the value of y = -2x + 3 into Equation 2:

5x - 2y = 12

5x - 2(-2x + 3) = 12

5x + 4x - 6 = 12

9x - 6 = 12

9x - 6 + 6 = 12 + 6

9x = 18

9x/9 = 18/9

x = 2

Substitute the value of x = 2 into Equation 2 to solve for y:

5x - 2y = 12

5(2) - 2y = 12

10 - 2y = 12

10 - 10 - 2y = 12 - 10

-2y = 2

-2y/-2 = 2/-2

y = -1

Double-check whether the values for x and y will provide a true statement for both equations:

Equation 1:  2x + y = 3

2(2) + (-1) = 3

4 - 1 = 3

3 = 3 (True statement)

Equation 2: 5x - 2y = 12

5(2) - 2(-1) = 12

10 + 2 = 12

12 = 12 (True statement)

Therefore, the correct answers are: x = 2; y = -1 or (2, -1).

4 0
3 years ago
Kristi invests $3,000 at a 7.25% annual simple interest rate, and her sister Kari invests $3,200 at a 6.25% annual simple intere
True [87]

Answer:

Kristi

Step-by-step explanation:

The formula for Simple Interest =

Principal × Rate × Time

For Kristi

Kristi invests $3,000 at a 7.25% annual simple interest rate,

Principal = $3000

Rate = 7.25% = 0.0725

Time = 1

Simple interest = $3000 × 0.0725 × 1

= $217.5

For Kari

Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.

Principal = $3200

Rate = 6.25% = 0.0625

Time = 1

Simple interest = $3200 × 0.0625 × 1

= $200

From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year

3 0
3 years ago
Elisa is making candles she knows each candle needs a wick that is 4 inches long.she wants to make 7 candles how many inches of
dimulka [17.4K]
She will need 28 inches of wick
4 0
3 years ago
Read 2 more answers
Sue read 129 pages. Mary read 74 pages. How many more pages did Sue read than Mary?
Ber [7]

sue read 55 more pages then mary

7 0
3 years ago
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PLEASE HELP ASAP which equation of a like has a slope of -2/3 and passes thought point (-3,-1)
coldgirl [10]

Answer:

Skill Tests

With a partner, complete the Skill Tests for the six areas of skill-related fitness and record both your scores and your partner’s scores below. Answer the reflection questions.

My Scores:

Agility – Agility Square Test:

Speed – Stay on Your Toes Test:

Reaction Time – Ready, Set, Go Test:

Balance – Stork Stance Test:

Coordination – Off the Wall Test:

Power – Standing Long Jump Test:

Partner Scores:

Agility – Agility Square Test:

Speed – Stay on Your Toes Test:

Reaction Time – Ready, Set, Go Test:

Balance – Stork Stance Test:

Coordination – Off the Wall Test:

Power – Standing Long Jump Test:

Compare your scores to your partner’s scores. Explain the reason for any differences.

How can improving your balance and coordination affect your performance in sports or recreational activities?

What activity was the most difficult for you to perform? Why?

Describe an activity that could help improve your striking and your reaction time skills.

Select a physical activity or sport that you have never done but would like to try one day. Identify at least one element of skill-related fitness that is important to being successful in this activity.

What power-increasing activities do you need to perform regularly to improve your performance?

8 0
2 years ago
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