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2 years ago

If BC=5.3, CD=8.8, and AD= 14.3, find AB to the nearest tenth.

Mathematics

1 answer:

Korolek [52]2 years ago

6 0

The picture above shows us that triangle ABC and triangle ACD are similar triangles by showing us that then have congruent angles. This tells us that each side of the triangle is bigger/smaller than the other triangle by the same factor. To find this out, we use two corresponding sides of the two triangles. In this case, two corresponding lengths that are given to us are BC and CD. If we divide CD by BC, this tell us that triangle ACD is approximately 5/3 bigger than triangle ABC. Using this, we can figure out the length of AB. We simply take 14.3 and divide it by 5/3. We divide because we are trying to mind the magnitude of the length of the smaller triangle. If we were looking for the length of the larger triangle, we would have multiplied. After dividing 14.2 by 5/3, we find that the length of AB is about 8.6.

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The total square footage of wall space to be painted is 575 square ft. If a gallon of paint covers 250 square feet, how many qua

mars1129 [50]

5.75 quarts of paint required for the project

Explanation:

Usually one quart of paint cover 100 square feet

Since, a gallon covers 250 square feet, it means that

one gallon of paint is equal to $\frac{250}{100} =2.5$ quarts of paint.

Number of gallon required to paint 575 square feet,

$=\frac{575}{250} \\=2.3 gallons$

So, 2.3 gallons is equal to,

$=2.3*2.5\\=5.75 quarts$

Learn more:

brainly.com/question/18882920

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1 year ago

Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can tr

Murrr4er [49]

Answer:

288 gallons ÷ 6 miles = 48 miles per gallon

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Step-by-step explanation:

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2 years ago

Lake Okeechobee's water level was at sea level in April. In May, the lake's level rose 4 inches and in June it rose 2 more inche

lana [24]

Step-by-step explanation:

If the lake's level rose 4 inches and in June it rose 2 more inches, the total amount of distance that he rose is (4+2).

Also if the lake's level fell 5 inches in July and 3 more inches in August as a result of no rain, then the total amount of fall will be (5+3).

Change in height of the lake = total rise in distance - Total fall in distance

Change in height of the lake = (4+2) - (5+3) = (5+3) - (4+2) {commutative law}

open the parenthesis

(4+2) - (5+3)= 4+2-5-3 (note that minus times plus will give minus)

<em>Hence the expressions that best describe this situation are;</em>

1. (4+2) - (5+3)

2. (5+3)-(4+2)

3. (4+2) - 5 -3

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2 years ago

What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?

kotegsom [21]

Answer:

835.49

Step-by-step explanation:

selling price = original cost + markup value

We need to find the markup

markup = original cost * markup percent

= $784.50 * 6.5%

= $784.50 *.06.5

=50.9925

Rounding to the nearest cent

=50.99

selling price = original cost + markup value

=784.50+50.99

835.49

6 0

2 years ago

The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.

levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

y -----> the population of a small town

t ----> the number of years

we have a exponential function of the form

$y=a(b)^{t}$

where

a is the initial value

b is the base

In this problem

$a=9,400\ people$

$b=100\%-14.3\%=85.7\%=85.7/100=0.857$

substitute

$y=9,400(0.857)^{t}$

Remember that

The town's tax status will change once the population is below 6,000 people

The inequality that represent this situation is

$9,400(0.857)^{t}< 6,000$

Solve for t

$(0.857)^{t}< 6,000/9,400$

Apply log both sides

$(t)log(0.857)< log(6,000/9,400)$

$-0.067t< -0.1950$

Multiply by -1 both sides

$0.067t > 0.1950$

$t > 2.9\ years$

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

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2 years ago