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3 years ago

Using the compensation strategy. 4,153+2,988

Mathematics

1 answer:

makvit [3.9K]3 years ago

5 0

4,153+2,988
-12 +12
4,141+3,000

3,000+4,000=7,000
7,000+141=7,141

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Estimate the answer to the following problem to the nearest 10 13+46+87= a. 130 b.155 c.160 d.150

Lunna [17]

150

13+46= 59
59+87= 146

Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.

Then add the 1 back in to make it 150.

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3 years ago

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Given the figure below, 11 || 12. Also m_g = 4x + 6 and mZh=6x - 36.

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Answer:b c eStep-by-step explanation:

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3 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

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step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

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3 years ago

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Lesechka [4]

Answer:

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Step-by-step explanation:

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2 years ago

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Artemon [7]

Answer:

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Let's assume compound inflation. The appropriate formula for that is:

A = P(1 + r)^t.

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3 years ago