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Digiron [165]
3 years ago
10

2.5% of what number is 1.5?

Mathematics
2 answers:
harina [27]3 years ago
7 0

Answer:

60

Step-by-step explanation:

1.5 is 2.5% of 60

mote1985 [20]3 years ago
7 0

Answer:

x = 60

Step-by-step explanation:

2.5% of x = 1.5

2.5/100 * x = 1.5

1.5/x = 2.5/100

1.5*100 = 2.5x

150 = 2.5x

x = 150/2.5

x = 60

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PLEASE HELP ME IM STUCK ON MY MATH EXAMS
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Answer:

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4 0
3 years ago
For positive acute angles AA and B,B, it is known that \tan A=\frac{28}{45}tanA= 45 28 ​ and \cos B=\frac{3}{5}.CosB= 5 3 ​ . Fi
MrRa [10]

Answer:

\cos(A + B) = \frac{23}{265}

Step-by-step explanation:

Given

\tan A=\frac{28}{45}

\cos B=\frac{3}{5}

Required

\cos(A+B)

In trigonometry:

\cos(A+B) = \cos\ A\ cosB - sinA\ sinB

We need to solve for cosA, sinA and sinB

Given that:

\tan A=\frac{28}{45} and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),

So, we have:

x =28 and y = 45

For this angle A, we need t calculate its hypotenuse (z).

Using Pythagoras,

z^2 = x^2 + y^2

z = \sqrt{x^2 + y^2

z = \sqrt{28^2 + 45^2

z = \sqrt{2809

z = 53

From here, we can calculate sin and cos A

\sin A= \frac{opposite}{hypotenuse} and \cos A= \frac{adjacent}{hypotenuse}

\sin A= \frac{x}{z}

\sin A= \frac{28}{53}

\cos A= \frac{y}{z}

\cos A= \frac{45}{53}

To angle B.

Give that

\cos B=\frac{3}{5} and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),

So, we have:

a = 3 and b = 5

For this angle B, we need to calculate its opposite (b).

Using Pythagoras,

c^2 = a^2 + b^2

5^2 = 3^2 + b^2

25 = 9 + b^2

Collect like terms

b^2 = 25 - 9

b^2 = 16

b = \sqrt{16

b = 4

From here, we can calculate sin B

\sin B= \frac{opposite}{hypotenuse}

\sin B = \frac{b}{c}

\sin B = \frac{4}{5}

Recall that:

\cos(A+B) = \cos\ A\ cosB - sinA\ sinB

and

\cos B=\frac{3}{5}      \sin B = \frac{4}{5}       \sin A= \frac{28}{53}      \cos A= \frac{45}{53}

\cos(A + B) = \frac{45}{53} * \frac{3}{5} - \frac{28}{53} * \frac{4}{5}

\cos(A + B) = \frac{135}{265} - \frac{112}{265}

\cos(A + B) = \frac{135-112}{265}

\cos(A + B) = \frac{23}{265}

7 0
2 years ago
Why do you need to find the number that is halfway between 0 and 1 and 1/2 ?
labwork [276]

Answer:

between 0 and 1: divide 1 by 2 = 0.5

between 1 and 1/2: divide 1/2 by 2 (0.25) and multiply that by 3 = 0.75

8 0
3 years ago
A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the
amid [387]

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

5 0
3 years ago
Savannah is 24 years older than Ryan, while Sebastian is 5 times as old as Ryan. If Savannah and Sebastian are twins, which equa
Gnom [1K]

Answer:

Kim is 24 years older than Tom Kim and Tom are twins. These two statements are not compatible, unless the mother of Kim and Tom was in labor for 24 years LOL


Second statement


Savannah and Sebastian are the same age (twins)


X being Ryan's age the correct answer is 24+x = 5x


D is the correct answer


To solve 24+x= 5x


Subtract x from each side


24= 4x


Divide each side by 4


6= x


Savannah is 30 Sebastian is 30 Ryan is 6

Step-by-step explanation:


6 0
3 years ago
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