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Arte-miy333 [17]

3 years ago

9

A pair of jeans is marked 25% off. If the original price is $31.50, what is the discount amount that will be taken off of the or

iginal price?

1 answer:

Tresset [83]3 years ago

5 0

Answer: $7.88

Step-by-step explanation: Twenty five percent of 31.50 is 7.875.

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A landscape plan includes a rectangular flowers bed that is surrounded the wood in planks. In the drawing, the rectangular flowe

forsale [732]

Answer:

The perimeter of the drawing: 18 inches

The perimeter of the actual flower bed: 540 inches

If they were multiplied by 24 instead the actual perimeter of the flower bed would be 432 inches. The effect is that it decreases by 108 inches.

Step-by-step explanation:

Taking the 4 inches and 5 inches and multiplying them by 30 gets 120 by 150. If its a rectangle we will add together all 4 sides to get the perimeter of the actual one.

5 0

3 years ago

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

It takes 60 minutes for 7 people to paint 5 walls.

ziro4ka [17]

0.7/1 of a wall per person

3 0

3 years ago

Graph the linear equation using the slope and y-intercept.<br> Y=4X+3

JulsSmile [24]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have y = 4x + 3

m = 4 - slope

3 - y-intercept

$m=\dfrac{\Delta Y}{\Delta x}\to4=\dfrac{4}{1}$

4 units up and 1 unit right

7 0

3 years ago

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h( h ( 5) ) ?

strojnjashka [21]

First you would solve for h(5) by plugging in 5 as your x, then solving it.

h(5) = 5^2 + 1
h(5) = 25 + 1
h(5) = 26

Next you would multiply the 26 by the individual h, which is basically h(1).

h(1) = 1^2 + 1
h(1) = 2

Lastly you multiply your h(1) value by the h(5) value to get your answer.

h(1) • h(5) = 26 • 2
h[h(5)] = 52

7 0

4 years ago