The Surface Area of a car frame is about 200ft squared. What is the Surface Area, to the nearest 10th of a square foot, of a model of a car that is smaller by a Scale Factor of 1/12?

Answers

Answer 1

Answer: The answer is 1.39 ft²

This is a proportion:
x : 200 ft² = (1 : 12)²
x : 200 ft² = 1 : 144
x = 200 ft² * 1 : 144
x = 1.39 ft²

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A city map is placed on a coordinate grid. The post office is located at the pointP ( 5, 35) , the library is located at the point L (15, 10) , and the fire station islocated at the point F  (9, 25) . What is the ratio of the length of PF to the length ofLF ?A 2 : 3B 3 : 2C 2 : 5D 3 : 5

he area of a rectangle is 22.5 cm the length is 10.5 the width of the rectangle is ( x+.6)cm what is the width

Answers

Answer:

Width, b = 2.14 cm

Step-by-step explanation:

Given that,

The area of the rectangle = 22.5 cm

Length, l = 10.5

Width, b = (x+0.6)cm

We need to find the width of the rectangle. The area of a rectangle is given by :

A = lb

So,

22.5 = 10.5(x+0.6)

22.5 =10.5x+6.3

22.5-6.3 = 10.5 x

16.2 = 10.5x

x = 16.2/10.5

x = 1.54 cm

Width, b = (1.54+0.6)cm

= 2.14 cm

So, the width of the rectangle is 2.14 cm.

2x+3=-7 what does x equal

Answers

Answer:-5

Step-by-step explanation:

2x+3=-7

2x=-7-3

x=-10/2

so,

x=-5

Answer: x=-5

Step-by-step explanation: just did the assessment on edge

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first rate. How many miles did Mr. Anderson drive during 5 3/4 hours? (Middle school)

Answers

Remember that distance = rate times time.

First distance = 168 miles; time was 3.5 hours. Rate was 48 mph.
5 miles per hour faster than that was 53 mph.

Second distance = (2 1/4 hours)*(53 mph) = 119.25 miles

Total distance driven in those 5 3/4 hours: 168 mi + 119.25 mi = 287.25 mi

Lane saved $8 by bying her video game on sale.if the game was on sale for 25% off hte original price, whats the original price of the game

Answers

Well if she saved $8 for buying it on 25% off, and since 25% = 25/100 = 1/4, you do 8/(1/4) = 8(4) = 32

A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter.

Answers

The required height of the tree is 32.5 meters.

Given that,
A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. To estimate the height h of the tree to the nearest tenth of a meter.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
let the height of the tree be x, and the slant height from the foot of the person to the top of the tree be h,
according to the question,
base length = 100
cos 18 = 100 / h
h = 105.14
Now,
sin 18 = x / h
sin 18 = x / 105.14
x = 32.5 meters

Thus, the required height of the tree is 32.5 meters.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ2

This is right angle trig. We know that...

cos(18°) x hypotenuse = 100

hypotenuse = 100/cos(18°)

hypotenuse = 105.15 meters approx.

Because they want the height of the tree we want "sin(18°) x hypotenuse".

sin(18°) x 105.15 = 32.5 meters approx.

answer: 32.5 meters approx.

Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, "thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?

Answers

Answer: she is incorrect

Step-by-step explanation:

If Emily had a coupon for 20 percent off her purchase, this means that whatever she bought, the total amount would be reduced by 20%. She will be paying 80%

She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount.

This means that ordinarily,the amount she is meant to pay on the total goods she is buying is 30% lesser than $60. She will be paying

60 - (30/100 ×60)

60 - 0.3×60 = 60-18 = $42

Since she has a 20% coupon on total cost of goods bought, she would be paying

42 - (20/100 ×42)

42 - 0.2×42

= 42 - 8.4 = $33.6

Therefore,

If Emily says, "thirty percent and twenty percent make fifty percent so that her cost will be $30. She is incorrect. Her cost is $33.6

Answer:

she is incorrect.