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3 years ago

What is the GCF of the expression 4(x + y)z - 2(x - y)z?

Mathematics

1 answer:

ANEK [815]3 years ago

8 0

The Greatest Common Factor of that expression is z. Hope this helps

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If the tree grows an additional 10 feet, what is the new angle of

avanturin [10]

Answer:

B) 47.1°

Step-by-step explanation:

The tangent relation is useful here.

Tan = Opposite/Adjacent

The original height of the tree is the side of the triangle that is opposite the angle of elevation:

Opposite = Adjacent × Tan

original height = (25 ft)×tan(34°) ≈ 16.863 ft

After growing an additional 10 ft, the tree has a height of ...

16.863 ft + 10 ft = 26.863 ft

Then the angle of elevation is found from ...

tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451

angle of elevation = arctan(1.07451) ≈ 47.057°

The angle of elevation to the top of the tree is about 47.1°.

6 0

2 years ago

Higher order thinking. Rectangular prism can have a volume of 12 cubic units

MissTica

Answer:

see below

Step-by-step explanation:

Volume is the product of the three dimensions: length, width, and height.

The numbers in the three columns need to have a product of 12. Your knowledge of multiplication tables lets you fill in the missing factors easily.

8 0

3 years ago

What is .725 as a decimal? (or) What is 29/40 as a decimal?

lisabon 2012 [21]

29/40 as a decimal would be .725 because you would have to divide 29 by 40 to get the answer.

4 0

3 years ago

Read 2 more answers

Insert brackets to make this calculation right 4x2+5-3=

pentagon [3]

Salutations!

Insert brackets to make this calculation right 4x2+5-3

The brackets should be inserted outside 2+5. If you add brackets outside teh rest of the numbers the calculation would not make sense.

4 × (2 + 5) - 3

Hope I helped (:

have a great day!

8 0

4 years ago

You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft

irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0

4 years ago