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sveticcg [70]
2 years ago
10

‼️ What is the height of a right triangle with an angle that measures 60 degrees and a base of 14 adjacent to the 60 degree angl

e???
Mathematics
1 answer:
puteri [66]2 years ago
7 0

You'd use tangent for this.

opposite / adjacent

tan 60* = x/14

multiply both sides by 14

tan 60* = 1.73

tan 60* (1.73 x 14) = x

24.22 = x

Your answer should be 24.22


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Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
zhuklara [117]

Answer:

1. The answer for this question is corresponding angles.

2. The answer for this question is alternate interior

6 0
3 years ago
a ball is shot straight upward. with it's height, in feet, after t seconds given by the function f(t)=-16t^2+192t. Find the aver
jekas [21]

ANSWER

80  {ms}^{ - 1}

EXPLANATION

The average velocity of the ball is the rateof displacement over the total time.

The height of the ball, in feet, after t seconds is given by the function:

f(t)=-16t^2+192t

At time t=1, the height of the ball is

f(1)=-16(1)^2+192(1)

f(1)=-16+192 = 176ft

At time t=6, the height of the ball is

f(6)=-16(6)^2+192(6)

f(6)=-16(36)+192(6)

f(6)=-576+1152 = 576

The average velocity

=  \frac{f(6) - f(1)}{6 - 1}

=  \frac{576- 176}{6 - 1}

=  \frac{400}{5}

= 80  {ms}^{ - 1}

7 0
3 years ago
Please help me! I really need someone to explain how to find the perimeter also. Thank you in advance!
andrezito [222]
You add all the sides together and divide by the number of side so in your case it would be 6 sides and you should get your perimeter i think thats how you do it i could be wrong 

5 0
3 years ago
Read 2 more answers
A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find t
Harman [31]

Answer:

The expectation is  E(1 )= -\$ 1

Step-by-step explanation:

From the question we are told that  

     The first offer is  x_1 =  \$ 8000

     The second offer is  x_2 =  \$ 4000

      The third offer is  \$ 1600

      The number of tickets is  n  =  5000

      The  price of each ticket is  p= \$ 5

Generally expectation is mathematically represented as

             E(x)=\sum  x *  P(X = x )

     P(X =  x_1  ) =  \frac{1}{5000}    given that they just offer one

    P(X =  x_1  ) = 0.0002    

 Now  

     P(X =  x_2  ) =  \frac{1}{5000}    given that they just offer one

     P(X =  x_2  ) = 0.0002    

 Now  

      P(X =  x_3  ) =  \frac{5}{5000}    given that they offer five

       P(X =  x_3  ) = 0.001

Hence the  expectation is evaluated as

       E(x)=8000 *  0.0002 + 4000 *  0.0002 + 1600 * 0.001

      E(x)=\$ 4

Now given that the price for a ticket is  \$ 5

The actual expectation when price of ticket has been removed is

      E(1 )= 4- 5

      E(1 )= -\$ 1

4 0
3 years ago
X+3<8 and 3(x+4)-11<10
kondaur [170]

Answer:

<h3>X<5 and X<3</h3>

Step-by-step explanation:

To solve this problem, first, you have to isolate it on one side of the equation. Remember to solve this problem, isolate x on one side of the equation.

x+3<8 and 3(x+4)-11<10

x+3<8

x+3-3<8-3 (First, subtract 3 from both sides.)

8-3 (Solve.)

8-3=5

x<5

3(x+4)-11<10

3(x+4)-11+11<10+11 (Add 11 from both sides.)

10+11 (Solve.)

10+11=21

3(x+4)<21

3(x+4)/3<21/3 (Next, divide by 3 from both sides.)

21/3 (Solve.)

21/3=7

x+4<7

x+4-4<7-4 (Then, subtract 4 from both sides.)

7-4=3

x<3

The correct answer is x<5 and x<3.

4 0
3 years ago
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