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3 years ago

There are 240 ways for cars to win first and second place in a race. How many cars are in the race?

Mathematics

1 answer:

melamori03 [73]3 years ago

7 0

Answer:

120 cars

Step-by-step explanation:

Cause 240 and you have 1st and 2nd that's two places and 240/2 = 120.

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The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find

Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x

2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058

height is 14 cm

5 0

3 years ago

A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

kramer

Answer:

$97.18^{\circ}$

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

$3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.$

7 0

4 years ago

Write an equation to find the number of Mr.night's homeroom if the total number of students is 90

tia_tia [17]

This question is obviosly missing an ending but, I bet you will have to divide.

5 0

3 years ago

40 + x + 25= 180

sveta [45]

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

Let's solve ~

$\qquad \sf \dashrightarrow \:40 + x + 25 = 180$

$\qquad \sf \dashrightarrow \:x + 65 = 180$

$\qquad \sf \dashrightarrow \:x = 180 - 65$

$\qquad \sf \dashrightarrow \:x = 115$

I hope you understood the procedure, please let me know if you have any doubts

6 0

3 years ago

What is the area of the shaded shape and I need the steps

vesna_86 [32]

Area of a triangle: 1/2 of area*height
(4*4)/2
16/2 = 8
8 * 4, since there are 4 triangles. = 32
18 * 8 (for the square) = 144
144 - 32 = 112 inches squared.
The triangles aren't shaded, so you can subtract them from the area of the rectangle to get the shaded area. The answer is 112 inches squared.

7 0

3 years ago