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4 years ago

7

According to the key of a particular park map,every 5 Inches on the map represents 3 miles of trails in the park.how many inches

on the map represents 9 miles on the park trails?

1 answer:

aniked [119]4 years ago

5 0

5 inches = 3 miles

5= 3

10 = 6

15= 9

15 inches = 9 miles

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The budget for carter museum's annual party is $10,000.food accounts for 1/2of the budget, beverages for 1/4,and decorations for

lisov135 [29]

So you are going to multiply the fractions by 10,000 to find the amount of money used on that item.

1/2 x 10,000 = 5,000 - FOOD
1/4 x 10,000 = 2,500 - BEVERAGES
1/10 x 10,000 = 1,000 - DECORATIONS

5,000 + 2,500 + 1,000 = 8,500

10,000 - 8,500 = MONEY SPENT ON STAFFING
= 1,500

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4 years ago

Adrian works ata carwash and makes $12 an hour. How many hours dothey have to work to save atleast $1200 over the summer?

Mashcka [7]

Answer:

100 minimum

Step-by-step explanation:

because 100 times 12 equals 1200

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3 years ago

Prove Sin3theta = 3sintheta - 4sin^3theta

trapecia [35]

Express the left hand side as

sin3theta=sin(theta+2theta)

now expand the right side of this equation using color(blue)"Addition formula"

color(red)(|bar(ul(color(white)(a/a)color(black)(sin(A±B)=sinAcosB±cosAsinB)color(white)(a/a)|)))

rArrsin(theta+2theta)=sinthetacos2theta+costhetasin2theta.......(A)

color(red)(|bar(ul(color(white)(a/a)color(black)(cos2theta=cos^2theta-sin^2theta=2cos^2theta-1=1-2sin^2theta)color(white)(a/a)|)))

The right hand side is expressed only in terms of sintheta's

so we use cos2theta=1-2sin^2theta........(1)

color(red)(|bar(ul(color(white)(a/a)color(black)(sin2theta=2sinthetacostheta)color(white)(a/a)|)))........(2)

Replace cos2theta" and " sin2theta by the expansions (1) and (2)
into (A)

sin(theta+2theta)=sinthetacolor(red)((1-2sin^2theta))+costhetacolor(red)((2sinthetacostheta)

and expanding brackets gives.

sin(theta+2theta)=sintheta-2sin^3theta+2sinthetacos^2theta....(B)

color(red)(|bar(ul(color(white)(a/a)color(black)(cos^2theta+sin^2theta=1rArrcos^2theta=1-sin^2theta)color(white)(a/a)|)))

Replace cos^2theta=1-sin^2theta" into (B)"

rArrsin(theta+2theta)=sintheta-2sin^3theta+2sintheta(1-sin^2theta)

and expanding 2nd bracket gives.

sin(theta+2sintheta)=sintheta-2sin^3theta+2sintheta-2sin^3theta

Finally, collecting like terms.

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3 0

3 years ago

Sarah used a scale of ½ inch = 3 feet for a drawing of her business. On the drawing, a rectangular room measures 2 ½ inches by 3

Korolek [52]

Answer:

The new carpet will cost $1279.13 to the nearest cent

Step-by-step explanation:

The given is:

1. Sarah used a scale of $\frac{1}{2}$ inch = 3 feet

2. On the drawing, a rectangular room measures $2\frac{1}{2}$ inches

by $3\frac{3}{4}$ inches

3. Sarah wants to purchase new carpet for the room that costs $3.79

per square foot

We need to find much the new carpet will cost

∵ The scale is 0.5 inch = 3 feet

∵ The dimensions of the room on the drawing are $2\frac{1}{2}$ inches and

$3\frac{3}{4}$ inches

∵ $2\frac{1}{2}$ = 2.5

∵ $3\frac{3}{4}$ = 3.75

Use the ratio method

→ inches : feet

→ 0.5 : 3

→ 2.5 : x

→ 3.75 : y

- By using cross multiplication

∴ 0.5 x = 2.5 × 3

∴ 0.5 x = 7.5

- Divide both sides by 0.5

∴ x = 15 feet

∴ 0.5 y = 3.75 × 3

∴ 0.5 y = 11.25

- Divide both sides by 0.5

∴ y = 22.5 feet

∴ The actual dimensions of the room are 15 feet and 22.5 feet

Now lets find the area of the room which is the area of the carpet

∵ Area of the carpet = 15 × 22.5

∴ Area of the carpet = 337.5 feet²

∵ The cost of the carpet is $3.79 per square feet

∴ The cost of the carpet = 3.79 × 337.5 = 1278.125

∴ The cost of the carpet = $1279.13 to the nearest cent

The new carpet will cost $1279.13 to the nearest cent

Learn more:

You can learn more about ratio in brainly.com/question/13076219

#LearnwithBrainly

8 0

4 years ago

What’s the answer to this

pantera1 [17]

Answer:

A

Step-by-step explanation:

Given f(x) the f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 6, thus a shift down, thus

g(x) = x² - 6 → A

4 0

3 years ago