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ira [324]
1 year ago
12

Solve the word problem. Be sure to use the six steps!

Mathematics
1 answer:
Lemur [1.5K]1 year ago
7 0

Answer:

1450 residents

Step-by-step explanation:

Number of residents who live in Harris

= 5800 pounds ÷ 4 pounds

= 1450 residents

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Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?
Black_prince [1.1K]

Answer:

<-3,4>

<0,-5>

Step-by-step explanation:

|-3w| = 15

3|-w| = 3|w| = 15

|w| = \frac{15}{3}

|w| = 5

  • If vector w is represented by <1,-9>

Then |w| = \sqrt{(1)^{2}+(-9)^{2}}=\sqrt{1+81}=\sqrt{82}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <-3,4>

Then |w| = \sqrt{(-3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}=5 .

Therefore this is possible.

  • If vector w is represented by <4,5>

Then |w| = \sqrt{(4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <-5,-3>

Then |w| = \sqrt{(-5)^{2}+(-3)^{2}}=\sqrt{25+9}=\sqrt{34}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <0,-5>

Then |w| = \sqrt{(0)^{2}+(-5)^{2}}=\sqrt{0+25}=\sqrt{25}=5 .

Therefore this is possible.

(NOTE : if z vector is represented by <x,y> then |z| = \mathbf{\sqrt{x^{2}+y^{2}}} )

4 0
3 years ago
Find the length of a diagonal of a square if its area is 162 square feet.
bearhunter [10]

Answer:

9sqrt(2) ft or 12.73 ft

Step-by-step explanation:

A = L^2

sqrt(162) = 9sqrt(2)

The diagonal of a square is equal to the side length.

5 0
2 years ago
Gavin had 20 minutes to do a three-problem quiz. He spent 9 9/10 minutes on question A and 3 3/5 minutes on question B. How much
dalvyx [7]

Answer:

6 1/2 minutes

Step-by-step explanation:

9 9/10 = 9.9

3 3/5 = 3.6

9.9 + 3.6 = 13.5

13.5 = 13 1/2

20 - 13.5 = 6.5 = 6 1/2

6 0
3 years ago
What percent of 980 is 215.6?
Zielflug [23.3K]

Answer:

454.54

Step-by-step explanation:

980:215.6*100 =

(980*100):215.6 =

98000:215.6 = 454.54

Hope this helps

5 0
3 years ago
Read 2 more answers
An extended family is trying to plan a reunion and needs to find out where everyone would like to attend. Jill decides to send a
butalik [34]

Answer:

I don't think so. Because what if that specific family member never checks their email. I think a good way would have been to email more than one or every person in that family (now since its extended you might not know everyone so just as many as you know of)

4 0
3 years ago
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