A 5.5-foot-tall woman walks at 8 ft/s toward a street light that is 22 ft above the ground. What is the rate of change of the length of her shadow when she is 20 ft from the street light? At what rate is the tip of her shadow moving?

Answer:

13 gallons

Step-by-step explanation:

Answer:

39 gallons

Step-by-step explanation:

We would use a simple relation here

65 gallons washes 5 loads, then

65/5 gallons will wash one load

13 gallons washes one load

Now, to find 3 loads will be

13 * 3 gallons = 39 gallons

Answer:

The art gallery is 2 city blocks from the car wash

Step-by-step explanation:

Let us solve the question

∵ The art gallery is located at the point (13, -3)

∴ x1 = 13 and y1 = -3

∵ A car wash is located at (13, -5)

∴ x2 = 13 and y2 = -5

∵ x1 = x2 = 13

→ That means the gallery and the car wash located vertically over each other

∴ The distance between them = Iy2 - y1I

∵ y1 = -3 and y2 = -5

∴ The distance between them = I-5 - (-3)I

∴ The distance between them = I-5 + 3I

∴ The distance between them = I-2I

→ Remember the absolute value cancel the negative sign

∴ The distance between them = 2 units

∵ Each unit on the map is a city​ block

∵ The distance between them is 2 units

→ That means the vertical distance between them is 2 city blocks

∴ The art gallery is 2 city blocks from the car wash

Answer:

3 cakes.

Step-by-step explanation:

12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.

Answer:

3 cakes hope this helps :)

Answer:

58

Step-by-step explanation:

thank me later

The percentage of people receiving treatment 1 had improved health is 48%. The percentage of people receiving treatment 2 had improved health will be 52%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that scientists give two different treatments to people who have the flu and determine if their health improved. The results of the test are in the two-way table.

The percentage of people receiving treatment 1 had improved health is calculated as,

Percentage = 23 / ( 23 + 25 )

Percentage = 0.48 x 100 = 48%

The percentage of people receiving treatment 2 had improved health is calculated as,

Percentage = 25 / ( 23 + 25 )

Percentage = 0.52 x 100 = 52%

Therefore, the percentage of people receiving treatment 1 had improved health is 48%. The percentage of people receiving treatment 2 had improved health will be 52%.

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Answer:

ASA

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.

The included side is the side between the vertices of the 2 triangles.

Here

∠ S = ∠ W ( 1 angle )

∠ R = ∠ X ( 2 angles )

RS = XW ( side between the 2 angles )

Thus the 2 triangles are congruent by the ASA postulate

Answer:

Well, 1 is 3.8 The second one is 40,

Step-by-step explanation:

I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.

The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power

By doing 9.5*.0001*40, I got the 0.038 from 1

Answer:

3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.

Step-by-step explanation:

I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.

EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.

Answer:

Strong positive

Step-by-step explanation:

I had that question on a test

Answer:

so what was the answer

Step-by-step explanation:

Answer:

3/4 becuae fractions if u have 1/2 which is like 50% and take 25% of it u have only 25% left

Answer:

17

Step-by-step explanation:

15^2+8^2=17^2

Answer:

= 68/111

Step-by-step explanation:

Answer:

(f ￮ g)(8) = - 6

Step-by-step explanation:

Evaluate g(8), then substitute the value obtained into f(n)

g(8) = 8 - 2 = 6 , then

f(6) = - 6

Answer:

-62

Step-by-step explanation:

Two functions are given to us , which are ,

[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]

We need to find , ( f • g )(8) . So ,

⇒ ( f • g) = - n ( n - 2 )

⇒ ( f • g) = -n² + 2

⇒ (f • g) = 2 - n²

==================================

Substituting n = 8 :-

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

⇒ ( f • g)(8) = -62 .

Answer:

4

Step-by-step explanation:

Answer:

206 miles/hour

Step-by-step explanation:

1 kilometre per hour = 0.621 mile per hour

332 km/hr to miles per hour

= 332 km/hr × 0.621 miles per hour

= 206.295 miles per hour

Approximately to the nearest whole number

= 206 miles per hour

Badminton world record smash speed in miles is 260.17 mile per hour.

Given that;

Badminton world record smash = 332 kilometers per hour

1 kilometer per hour = 0.621 mile per hour

Find:

Badminton world record smash speed in miles

Computation:

Badminton world record smash speed in miles = 332 × 0.621

Badminton world record smash speed in miles = 260.17 mile per hour

Find more information about 'mile per hour'.

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Answer:

It is 4 squared

Step-by-step explanation:

When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2

Answer:

what Netflix show were you watching?

Answer:

72-x=28 or 72-28=x

Step-by-step explanation:

Answer:

DE = 15 cm, AB = 6 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal.

(a)

[tex]\frac{DE}{BC}[/tex] = [tex]\frac{CE}{AC}[/tex] , substitute values

[tex]\frac{DE}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 to clear the fraction )

DE = 15 cm

(b)

[tex]\frac{AB}{CD}[/tex] = [tex]\frac{AC}{CE}[/tex] , substitute values

[tex]\frac{AB}{18}[/tex] = [tex]\frac{8}{24}[/tex] ( cross- multiply )

24AB = 144 ( divide both sides by 24 )

AB = 6 cm

Answer:

the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?

Answer:

137

Step-by-step explanation:

when x=4 , We substitute in the above equation

(7 x 4²)+(8x4)-7 = 112+25 =137

Answer:

No this would not be linear. This would be an inverse variation, and doesn't have a linear relation between two variables since there is not constant rate of change or slope.

Answer:

70 besarse you have to add

Given:

Mara put down 7.5% on the purchase of her new home.

She put down $14.175.

To find:

The purchase price of the home.

Solution:

Let x be the purchase price of the home.

According to the question,

Put down = 7.5% of the purchase price of the home.

[tex]14.175=\dfrac{7.5}{100}\times x[/tex]

[tex]14.175=0.075x[/tex]

Divide both sides by 0.075.

[tex]\dfrac{14.175}{0.075}=x[/tex]

[tex]189=x[/tex]

Therefore, the purchase price of the home is $189.

Answer:

Step-by-step explanation:

4x + 4 - 3

= 4x + 1

Yes they both are equivalent because the algebraic expression is same

Step-by-step explanation:

150 minutes = 2.5 hours.

2.5 hours * (70 miles/hr) = 175 miles.

2 hours * (81 miles/hr) = 162 miles

Total distance = 175 + 162 = 337 miles.

Hence Michael drove 337 miles in total.

Answer:lek

Step-by-step explanation:

Leo

Answer:

1. Square

2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.

Happy new year, good luck with your future studies.

Step-by-step explanation:

The probability of getting five quadrilateral with four congruent sides is,

⇒ 1 / 3

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle, square and trapezoid.

Hence, Total number of outcomes = 6

And, We know that;

Square and Rhombus have four congruent sides.

Hence, Number of possible outcomes = 2

Thus,  The probability of getting five quadrilateral with four congruent sides is,

⇒ 2 / 6

⇒ 1 / 3

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Answer:

ASA

Step-by-step explanation

They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.

Answer: -5, 5, 9

Step-by-step explanation: Range means y values.

Answer:

4488

Step-by-step explanation:

(24)(187)