1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Genrish500 [490]
3 years ago
12

Find the value of x. A. 22.5 B.40 C.45 D.95

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

x = 22.5

Step-by-step explanation:

The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is

\frac{1}{2} (4x + 5 - 50 ) = x ( multiply both sides by 2 )

4x - 45 = 2x ( subtract 2x from both sides )

2x - 45 = 0 ( add 45 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

You might be interested in
I dont really kno what to do.​
ASHA 777 [7]

Answer:

Step-by-step explanation:

rearrange the equation to the letter on the left side until you find an equation equal to one of the answers

4 0
2 years ago
A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 45 m high, and its height is given by the formul
N76 [4]

Answer:

1) 125 meters

2) For 9 seconds.

Step-by-step explanation:

The rocket's height is given by the formula -5t^2+40t+45.

Notice that this is a quadratic.

Part 1)

Since this is a quadratic, the highest height the rocket goes will be the vertex of our quadratic. Remember that the vertex of a quadratic in standard form is:

(-\frac{b}{2a}, f(-\frac{b}{2a}))

So, let's identify our coefficients. The standard quadratic form is:

ax^2+bx+c

Therefore, in this case, our a is -5, b is 40, and c is 45.

So, let's find the x-coordinate of our vertex. Substitute 40 for b and -5 for a. This yields:

x=\frac{-(40)}{2(-5)}

Multiply and reduce. So:

x=-40/-10=4

Now, substitute 4 for t to find the height. So:

-5(4)^2+40(4)+45

Evaluate:

=-5(16)+40(4)+45

Multiply and add:

=-80+160+45=125\text{ meters}

Therefore, the highest the rocket goes up is 125 meters.

Part 2)

To find out for how much time the rocket is in the air, we can think about after how many seconds after launch will the rocket land.

If the rocket lands, the height h will be 0. So, we can set our expression equal to 0 and solve for t:

-5t^2+40t+45=0

First, let's divide everything by -5. This yields:

t^2-8t-9=0

We can factor:

(t+1)(t-9)=0

Zero Product Property:

t+1=0\text{ or } t-9=0

Solve for t:

t=-1\text{ or } t=9

In this case, since t is our time in seconds, -1 seconds does not make sense. So, we can remove -1 from our solution set.

Therefore, 9 seconds after launch, the rocket will touch the ground.

Therefore, the rocket was in the air for 9 seconds.

And we're done!

6 0
3 years ago
If m <1= 36 what is the measure of its complement?
Vlada [557]
If A represents an angle, its complement is 90-A.

If m<1 = 36, then its complement is 90-36 (degrees), or 54 (degrees).
3 0
3 years ago
How many eights are there in 6 1/2
Alona [7]
There are (8) eighths in 1, so multiply this by 6 1/2 to determine how many eighths there are:

8*6.5 = <u><em>52 eighths</em></u> in 6 1/2


5 0
3 years ago
Read 2 more answers
The answer to this question ? please help me
torisob [31]
I'm pretty sure the answer would be 90
8 0
3 years ago
Other questions:
  • What is sams ratio of free to paid minutes
    13·1 answer
  • Needs to be checked.............
    12·2 answers
  • The sum of two numbers is 24 and their difference is 2. What are the numbers
    10·1 answer
  • Khloe and Emma work at a furniture store. Khloe is paid $245 per week plus 9.5% of her total sales in dollars, xx, which can be
    10·1 answer
  • A bank loaned out 17000 part of it at the rate of 7% per year and the rest 15% per year. If the interest received in one year to
    14·1 answer
  • Write the edge of the cube in terms of its volume​
    9·2 answers
  • Sorry for only 13 points. I will give brainiest though!! plz answer asap
    10·2 answers
  • Find the range of the function. Use interval notation. g(x)=log↓3(x-2)​
    8·1 answer
  • What is X?<br> in decimal form plz
    13·1 answer
  • Find the diameter of the object. 2in
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!