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Sauron [17]
3 years ago
6

A car takes 54.9 seconds to travel 1 mile. How long does it take the car to travel 4.3 miles? First round to the nearest whole n

umber to find the estimated answer. Then find the exact answer.​
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer: Rounded: 236 seconds

Not rounded: 236.07 seconds

Step-by-step explanation: We know that it takes the car 54.9 seconds to travel one mile, and we know that 1 times 4.3 is 4.3, so 4.3 times 54.9 equals 236.07 seconds.

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True or False? The graph of sine can be used to construct the graph of the secant function.
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True

Note that:

secant \theta = \frac{1}{cos\theta}

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.

That is,  sin x  =  cos (90  -  x)

Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function

Mathematically:

since  sec x  =  1 / cos x

and, cos x = sin (90 - x)

therefore, sec x = 1 / sin (90 - x)

The graphs of the sine and secant functions are attached to this solution

Learn more here: brainly.com/question/9554579

5 0
3 years ago
Mason's car has a gas tank that holds 24 gallons of gas. The tank is exactly 1/4 full. How many gallons of gas are in Mason's ca
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A 14.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck)
UkoKoshka [18]

Answer:

h = 7.47 m

Step-by-step explanation:

According to the question, we have a right triangle formed by the ladder with the wall and the floor.

The length of the ladder is the hypotenuse and the desired height is the opposite. This is due to the fact that "the ladder makes an angle of 21" 27" with the horizontal". Then, the trigonometric ratio to use is sine:

sin(\theta)=\frac{opposite}{hypotenuse}

Using the values given:

sin(\21"27")=\frac{h}{14.5}

Multiplying both sides by 14.5:

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8 0
3 years ago
A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic
xz_007 [3.2K]

Answer:

16(3a-2b)(4a^2+3ab+2b)

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold 216a^3-64b^3=(6a)^3-(4b)^3cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that (6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)

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