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Firdavs [7]
3 years ago
11

Hello can you please help me posted picture of question

Mathematics
2 answers:
coldgirl [10]3 years ago
5 0
I believe it is D because the definition of disjoint is separated or opposite position so if you visualize a spinner 6 and a number less than 4 would be on opposite sides
sesenic [268]3 years ago
3 0
Disjoint events are those which do not have any outcome in common. From the given options only option D represents such an event.

Spinning a number less than 4 will result in 1,2 or 3 as outcome. Second event is getting a 6. So these two events do not have anything in common.

Thus, the answer is option D
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Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.
guajiro [1.7K]
<h3>Given</h3>

trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8

<h3>Find</h3>

the area of PSTK

<h3>Solution</h3>

It helps to draw a diagram.

∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as

... KS² = PS² + KP²

... 13² = PS² + 12²

... PS = √(169 -144) = 5

This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is

... A = (1/2)(b1 +b2)h

... A = (1/2)(12 +8)·5

... A = 50

The area of trapezoid PSTK is 50 square units.

5 0
2 years ago
Find the surface area of a cylinder with a base diameter of 8ft and a height of 6ft. Write your answer in terms of pi, and be su
Ksju [112]

Given that diameter of the base of the cylinder = 8 ft

Given that height of the cylinder = 6 ft

We have to find the surface area of the cylinder in terms of pi.

So we need to use formula of surface area of the cylinder which is

Area= 2\pi r(r+h)

where h= height = 6

r= radius = diameter/2 = 8/2 = 4

Now plug these values into above formula

Area= 2\pi *4(4+3)

Area= 2\pi *4(7)

Area= 2\pi *28

Area= 56\pi

Hence final answer is

Area= 56\pi square ft

3 0
3 years ago
Read 2 more answers
Suppose you invest $7500 at an annual interest rate of 4.2% compounded continuously. How much will you have in the account after
tatyana61 [14]
<span>Interest=principle x rate x time (in years)
so putting values so
Interest=7500 (.042)(2)
 so
 Interest=630 7500+630=8130
 Interest=500 (.071)(4)
Interest=142 500+142=64
hope it helps</span>
6 0
2 years ago
If an airplane descends 15 feet every 1.45 seconds, how far would the airplane travel in three and a half minutes? The equation
NemiM [27]

\qquad\qquad\huge\underline{{\sf Answer}}

Here we go ~

The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :

\qquad \sf  \dashrightarrow \:  \dfrac{15}{1.45} \:  \:  ft / sec

Now we have to calculate the descent in 3.5 minutes ~

\qquad \sf  \dashrightarrow \:  \dfrac{15}{1.45} \:  \:   \times 3.5 \times 60

\qquad \sf  \dashrightarrow \: 2172.41 \:  \: ft

So, the airplane descends 2172.41 feels in three and a half minutes ~

5 0
1 year ago
Solve the system of equations by graphing.<br> X+ y = 7<br> 2x - 4y=8
Sidana [21]

Answer:

(6,1)

Step-by-step explanation:

after switching the equations from y=mx+b, graph both equations. you will see that the point of intersection is (6,1)

6 0
3 years ago
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