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elena55 [62]
3 years ago
15

Which equation has a solution of x = -17

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer is (d) -4x = 68

Solving it we get :

-4x = 68

x = -68/4 = -17

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An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15
NeTakaya

Answer:

D. 22,417 feet

Step-by-step explanation:

Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.

Hypotenuse = x and Opposite = 15,000feet

According to SOH;

sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\

x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet

Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet

3 0
3 years ago
The volume of a sphere whose diameter is 18 centimeters is how many cubic centiemters
Arturiano [62]

Answer:

3053.63 cm^3

Step-by-step explanation:

Volumme of a sphere =  \frac{4}{3}\pi*r^3.

We do not have the radius of the sphere, but we have its diameter.

We know that there is a relationship between radius and diameter.

d = 2r\\r = \frac{d}{2}

Then the formula of the volume of a sphere according to its diameter is:

\frac{4}{3}\pi (\frac{d}{2}) ^ 3\\\\\frac{4}{3}\pi(9)^3 = 972\pi = 3053.63 cm^3\\\\

3 0
3 years ago
How to I solve problem 1?
Verdich [7]
#1

The uniforms are numbered 0, 1, 2, ..., 99. That's 100 numbers. Half of them are odd and half of them are even. So the probability that any one of the uniforms is odd is 1/2 just like the probability that any one uniform is even is 1/2.

(a) The numbers on the uniforms are independent of one another. That is, the number of her cross-country uniform does not in any way determine the number on her basketball uniform and vice versa. This means that we can find the probability that each is odd and multiply these together using what is called the counting principle. The probability that all are odd is:
(1/2)(1/2)(1/2)=1/8

(b) This is done the same way we did part (a). Since the probability of any one uniform being odd is the same as it being even (1/2), the answer here is the same: (1/2)(1/2)(1/2)=1/8

(c) This problem differs from that in (a) and (b). There is only one way for all three uniforms to be odd numbers: (odd, odd, odd) or all even (even, even, even). However, there are multiple ways for the uniforms to be two odd and one even. If the uniforms are listed in order: cross-country, basketball, softball we can get exactly one even in any of three ways:
even, odd, odd
odd, even, odd
odd, odd, even
The probability for any one of these possibilities is (1/2)(1/2)(1/2)=1/8 but since there are three way the probability that we get even exactly once is equal to (3)(1/8) = 3/8
7 0
3 years ago
Write two expressions that show that decreasing a quantity by 10% is the same as multiplying that quantity by 0.9​
Contact [7]

Step-by-step explanation:

x -0.1x = x(1-0.1) = 0.9x

3 0
3 years ago
What is 738620 rounded to the nearest hundred thousand
8090 [49]

Answer:739,000

Step-by-step explanation:

 

8 0
3 years ago
Read 2 more answers
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