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umka2103 [35]
2 years ago
11

Find the measure of the angle indicated in bold.*

Mathematics
1 answer:
Irina18 [472]2 years ago
6 0

Answer:

131°

Step-by-step explanation:

the equations represent alternate exterior congruent angles so they are equal.

31x + 7 = 32x + 3

simplify:

4 = x

31(4) + 7 = 131°

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What is the maximum height of the basketball when the player passes the ball to someone? Initially, the ball moves at a speed of
ZanzabumX [31]

Answer with explanation:

Since the motion of the ball is projectile motion we shall use the equations for projectile motion.

The maximum height achieved by the projectile is given by

h_{max}=\frac{v_{o}^{2}sin^{2}(\theta )}{2g}

Applying the values we get

h_{max}=\frac{12^{2}\times sin^{2}(45)}{2\times 9.81}\\\\h_{max}=3.669m

The range of the projectile is given by

R=\frac{v_{o}^{2}sin(2\theta )}{2g}

Applying values we get

R=\frac{12^{2}\times sin(2\times 45 )}{2\times 9.81}\\\\R=7.339m

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.

(The height of the players is not taken into account since no info is given about their height.)

3 0
3 years ago
Y/7=2 <br> helpppppppppppppp
Natali5045456 [20]

Answer:

y=14

Step-by-step explanation:

1.Multiply all terms by the same value to eliminate fraction denominators

2. Simplify it and it gives you 14

6 0
2 years ago
5) A student is given a metal sphere about the size of a softball and asked to identify what type of
Evgen [1.6K]

Answer :

Answer: Radius of a solid aluminium sphere is 3.67 cm.

Step-by-step explanation:

4/3 · 2.57³ π · 7,860 = 4/3 · r³ π · 2,700  / : 4/3 π

2.57³ · 7860 = r³ · 2,700

r³ = 2.57³ · ( 7,860 : 2.700 ) = 2.57³ · 2.911111...    /∛

r ≈ 2.57 · 1.428 = 3.67 cm

5 0
2 years ago
At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks we
aleksley [76]

Answer:

25

Step-by-step explanation:

ratio 5:6

\frac{5}{6} = \frac{x}{30}

6x = 5(30)

6x = 150

x = 25

3 0
2 years ago
Zoe is a salesperson who sells computers at an electronics store. She is paid a 1% commission for every computer sale she makes,
ella [17]

<u>Given:</u>

Zoe gets paid a 1% commission for every sale she makes in addition to base pay.

She sold $8,000 worth of computers on a day and made $140 that day.

<u>To find:</u>

A function P(x) representing total pay on a day where she sells x dollars worth of computers.

<u>Solution:</u>

To determine the function P(x) we need to determine how much Zoe's base pay per day is.

One day, she sold $8,000 worth of computers and made $140 that day.

She gets a commission of 1% for $8,000.

1% of $8,000 = \frac{1}{100} (8,000) = 80.

So she got paid $140 out of which $80 was a commission.

So her base pay = 140-80 = 60.

So Zoe's base pay is $60 a day.

P(x) is the sum of her base pay and 1% of the amount of computer sales she makes ($x).

So P(x) = 60 + (0.01)x, where x is the computer sales she makes in dollars. P(x) is represented in dollars.

5 0
3 years ago
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