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34kurt
3 years ago
12

Two complementary angles are expressed as 4x - 16 and 2x 10. find the number of degrees in each angle.

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0
Angle 1 = 4x - 16
angle 2 = 2x + 10

4x - 16 + 2x + 10 = 90
combine like terms

6x - 6 = 90
add 6 to both sides

6x = 96
divide both sides by 6

x = 16

angle 1 = 4x - 16 = 4(16) - 16 = 48

angle 2 = 2x + 10 = 2(16) + 10 = 42

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Plz help plzzzzzzzzzzzz
saveliy_v [14]

Answer:

After 1.5 second of throwing the ball will reach a maximum height of 44 ft.

Step-by-step explanation:

The height in feet of a ball after t seconds of throwing is given by the function  

h = - 16t² + 48t + 8 .......... (1)

Now, condition for maximum height is  

\frac{dh}{dt} = 0 = - 32t + 48 {Differentiating equation (1) with respect to t}

⇒ t = \frac{48}{32} = 1.5 seconds.

Now, from equation (1) we get

h(max) = - 16(1.5)² + 48(1.5) + 8 = 44 ft.

Therefore, after 1.5 seconds of throwing the ball will reach a maximum height of 44 ft. (Answer)

4 0
3 years ago
a baseball player gets a hit 40% of the time if the weather is good but only 20% off the time if it is not good weather. The wea
rosijanka [135]

Answer: The probability of the player getting a hit is 0.214.

Step-by-step explanation:

Since we have given that

Probability  that a baseball player gets a hit if the weather is good = 40% = 0.4

Probability that a baseball player gets a hit if the weather is not good = 20% = 0.2

Probability of good weather = 7% = 0.07

Probability of not good weather = 100-7 = 93% = 0.93

According to question, the probability of the player getting hit is given by

0.4\times 0.07+0.2\times 0.93\\\\=0.214

Hence, the probability of the player getting a hit is 0.214.

8 0
3 years ago
Please help me!! I don't understand<br> No linksssss
AVprozaik [17]

Answer:

thanks haahhahahaha

Step-by-step explanation:

3 0
2 years ago
Can you solve for y plz
vredina [299]
Solve the top equation for x and then substitute that into the bottom equation and solve for y:
Top equation: subtract 4 from both sides to get x = y - 4
Substitution and simplify:
y = 4(y - 4) - 10
y = 4y - 16 - 10
y = 4y - 26
-3y = -26
y = 26/3 or 8 1/3 or 8.333 (those are all the same but in different forms)
8 0
3 years ago
Calculate the future value of $7,000 earning 6% interest compounded quarterly for 7 years. (Round your answer to two decimal pla
qwelly [4]

Use the compound interest formula.

Let A = the ending amount

Let P = the principal

Let r = the interest rate

Let n = the amount compounded a year

Let t = time

A = P(1 + r/n) ^(n/t)

Substitute your numbers in

A = $7,000(1 + 0.06/4)^(4/7)

Solve for A

A = $7,059.81

7 0
4 years ago
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