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3 years ago

Assume that the two polygons are similiar, with the same orientation.

Mathematics

1 answer:

spin [16.1K]3 years ago

8 0

Answer:

4/6=t/(t+1)

Step-by-step explanation:

4/6=t/(t+1)

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Write an algebraic expression for the verbal expression the quotient for 45 and r

Nimfa-mama [501]

Answer:

45/r

Step-by-step explanation:

You're just doing 45 divided by r.

4 0

2 years ago

Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters of

Stels [109]

Answer:

Yes, she has enough water.

Explanation:

To estimate the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.

For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13

Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?

To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.

What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.

That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.

4 0

2 years ago

At a point on the ground 46 feet from the foot of a tree, the angle of elevation of the top of the tree is 68 degrees. What is t

Mandarinka [93]

Answer:

114 ft

Step-by-step explanation:

Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.

The tangent function includes angle, opp side and adj side:

tan 68 degrees = opp / adj = h / (46 ft), and so:

(46 ft)*tan (68 degrees) = opp = h

Then the height of the tree is h = (46 ft)(2.47) = 114 ft

6 0

3 years ago

An inheritance of $40,000 is divided among three investments yielding $3,500 in interest per year. The interest rates for the th

a_sh-v [17]

Answer:

x = $ 16,000 , y = $13,000 z= $11,000

Step-by-step explanation:

given,

Investment amount $40,000

three investments yielding = $3,500

three investments are 7%, 9%, and 11%

second and third are $3,000 and $5,000 less than the first

0.07 x + 0.09 y + 0.11 z = $ 3,500

x + (x - 3000 ) + (x - 5000) = $ 40,000

3x = $48,000

x = $ 16,000

y = 16000 - 3000 = $ 13,000

z = 16000 - 5000 = $ 11,000

the investment by each

x = $ 16,000 , y = $13,000 z= $11,000

4 0

3 years ago

Can someone help me

dezoksy [38]

Step-by-step explanation:

5+5=10

$1.50 +1.50=$3.00

3 0

3 years ago