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Katarina [22]
2 years ago
8

Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to th

e ring i used the things i learned in math so I use SOH-CAH-TOA in measuring it. I want to measure the distance between me and the basketball ring. Supposed the height of the ring is 8ft from the ground and the distance between me and the basketball ring horizontally is 11.5 ft, and the angle of elevation from the ground is 50 degrees, now what is the distance of me and the ring?
Let x be the distance between me and the ring

need urgent answers with equation

Mathematics
1 answer:
emmainna [20.7K]2 years ago
5 0

Answer:

x=14

Step-by-step explanation:

1) Since we know two of the sides of that right-angled triangle, we can use the Pythagorean Theorem to find x. His theorem is: c^2 = a^2 + b^2.

Substitute the values into the formula above.

Let x = c

c^2 = 8^2 + 11.5^2\\c^2 = 196.25\\c= \sqrt{196.25}\\c=14

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PLEASE HELP ( look at ss to answer )
Svetach [21]

The direct proportion is shown by table (B)

<h3>What is direct proportion?</h3>

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Here the second table shows the direct proportion relation.

This is because the ratio of x/y remain same.

4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1

Learn more about direct proportion here:

brainly.com/question/14664532

#SPJ1

8 0
2 years ago
Maria has a portfolio consisting of 7 shares of stock A (purchased for $70 per share) and 4 shares of stock B (purchased for $10
Vlad [161]

Answer:

Hence, the expected rate of return after 1 year for Mary's portfolio is 0.17751

Step-by-step explanation:

We have,

Purchase 7 shares of stock A  for $70 per share and 4 shares of stock B for $100 per share then The expected rate of return after 1 year for Mary's portfolio.

Weight invested in stock A is W_x=\frac{7\times 70}{7\times 70+4\times 100}

                                               \Rightarrow W_x=\frac{490}{490+400}\\\Rightarrow W_x=\frac{490}{890}\\\Rightarrow W_x=\frac{49}{89}\\\Rightarrow W_x=0.5505

Weight invested in stock B isW_y=\frac{4\times 100}{7\times 70+4\times 100}

                                             \Rightarrow W_y=\frac{400}{490+400} \\\Rightarrow W_y=\frac{400}{890} \\\Rightarrow W_y=\frac{40}{89} \\\Rightarrow W_y=0.4494

The expected value of the rate of return=W_x\times\;\text{expected rates of stock A}+W_y\times\;\text{expected rates of stock B}

=0.5505\times0.02+0.4494\times0.15

=0.01101+0.06741

=0.17751

4 0
3 years ago
What is the slope of the line on the graph?
RSB [31]
The slope goes uphill when its positive and goes downhill when its negative
6 0
3 years ago
Read 2 more answers
Need answers now. Not good with geometry or Algebra.​
ICE Princess25 [194]

Answer:

x = 4.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 50 = x/6.5

6.5 sin 50 =x

x=4.97928

x = 4.98

3 0
3 years ago
11. At a fund-raiser, Ling raised $19 more than the total amount raised by the swim club. The
Novosadov [1.4K]

Answer:$66

Step-by-step explanation:

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3 years ago
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