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3 years ago

(100 Points)last one i promise lol

Mathematics

2 answers:

erik [133]3 years ago

7 0

Answer:

40.35

Step-by-step explanation:

First find the discount

97 * 60%

97 *.6 = 58.2

Subtract the discount to find the new price

97-58.20 =38.80

Next find the tax

38.80 * 4%

38.80 * .04

1.55

We add the tax to the sales price

38.8+1.55

40.35

Maurinko [17]3 years ago

5 0

Answer:

40.35

Step-by-step explanation:

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A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

Evaluate the expression xy-3x; when x=4 and y=5. Pls provide explanation. Will choose brainliest.

Iteru [2.4K]

4*5-3*4

20-12

Just plug in the numbers and solve. Remember that you multiply before you subtract.

7 0

3 years ago

Tiffany put a $550 item on layaway by making a 15% down payment and agreeing to pay $20 a month. How many months sooner would sh

Harrizon [31]

18 months or 4 times faster

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3 years ago

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Lisa draws several right triangles and measures the angles. Her measurements are shown in the diagram. Each right triangle has o

Ray Of Light [21]

Answer:

a and b

Step-by-step explanation:

7 0

2 years ago

How do you find the general solution for cos2A=cos^2A

eduard

Answer:

A = 0 +/- nπ radians , where n is an integer.

Step-by-step explanation:

cos 2A = cos^2 A

Use the identity cos 2A = 2 cos^2 A -1 :

2cos^2 A - 1 = cos^2 A

cos^2 A = 1

Cos A = +/-1

When cos A = 1, A = 0 +/- 2nπ radians.

when cos A = -1, A = π +/- nπ radians.

6 0

2 years ago

(100 Points)last one i promise lol​

(100 Points)last one i promise lol