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guapka [62]
3 years ago
11

If one student rides in front seat and three in the back seat how many ways can the 4 students be arranged in car

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0

Since there are 4 students in total ,

There are 4 choices for who is going to sit in the front. The remaining 3 students can sit at the back in 6 ways( 3choices for the extreme left student followed by 2 choices for the student sitting in the middle followed by one choice for the student sitting at the extreme right).

Therefore, the total number of ways will be 4 time 6 or 24ways

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I need help finding the Function notation
NNADVOKAT [17]

Answer:

  1.5, -8, 0, 2f, 2/3

Step-by-step explanation:

j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.

  j(0.75) = 2(0.75) = 1.5

  j(-4) = 2(-4) = -8

  j(0) = 2(0) = 0

  j(f) = 2f

  j(1/3) = 2(1/3) = 2/3

7 0
3 years ago
The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie
andrey2020 [161]

Answer:

The answer is 25\pi units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The distance between the x's is 9-3=6.

The distance between the y's is 9-1=8.

The distance between the points is given by \sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10.

The radius is therefore \frac{10}{2}=5.

We are asked to find the area of this circle.

The formula for finding the area of a circle is \pi r^2.

Since the radius is 5, then the area in terms of \pi,(pi), is \pi (5)^2=\pi (25).

The answer is 25\pi units squared.

4 0
3 years ago
The area of triangle LMN is 45 in². What is the area of the parallelogram LMNO? A.45 in² B. 90 in² C. 135 in² D.180 in²
krok68 [10]

Answer:its A.

Step-by-step explanation:

7 0
3 years ago
Can someone pls help me with this.
Elodia [21]

Answer:

[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] Joe will complete 2 laps

[C]  Charmaine will complete 3 laps.

Step-by-step explanation:

Factor two numbers 12 and 8:

12 = 2×2×3

8 = 2×2×2

Find LCM of 12 and 8:

Lcm of 12 and 8 - 2×2×3×2 = 24

Therefore,

[A] How much time does it take for them to meet again at the starting line?

It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] How many laps does Joe complete

Joe will complete 2 laps

[C] How many laps does Charmaine complete?

Charmaine will complete 3 laps.

<u>~lenvy~</u>

6 0
2 years ago
Can someone please answer. There is one problem. There's s picture. Thank you!
Pepsi [2]
The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get 180-(57+90)=33\textdegree.

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

\frac{\sin(A)}{a} =  \frac{\sin(B)}{b}

For this problem, we'll let the height of the hot air balloon be a=15 and its respective opposite angle be A=33\textdegree, and let the missing x-distance be b, with its respective opposite angle B=57\textdegree. Note, we're solving for b.

\frac{\sin(33)}{15} =  \frac{\sin(57)}{b} \\ \\&#10;b\times sin(33)=15\times \sin(57) \\ \\&#10;b=\frac{15\times \sin(57)}{sin(33)} \\ \\&#10;b\approx \frac{15\times 0.84}{.54} \\ \\&#10;b\approx \frac{12.6}{.54} \\ \\&#10;b\approx \frac{12.6}{.54} \\ \\&#10;b\approx 23.3

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
8 0
3 years ago
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