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3 years ago

14

Alice leaves her house and walks to school. If she walks 45 meters south and 336 meters east, then Alice is _ meters from her ho

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2 answers:

adoni [48]3 years ago

5 0

Simple 45+336 (if it was south to north this would become subtraction but these are not opposite directions) so ANSWER 381 meters

dalvyx [7]3 years ago

5 0

Answer : 381

Explanation : 45+336

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Answer:

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3 years ago

PLZ HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

OverLord2011 [107]

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4 years ago

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The quantities x and y are proportional.

mamaluj [8]

Answer:

r = 7

Step-by-step explanation:

14 divided by 2 is 7

42 divided by 6 is 7

77 divided by 11 is 7

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3 years ago

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. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y

tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

$x+y=5,000$

$x=5,000-y$ -----> equation A

$x \geq 0.25(5,000)$

$x \geq \$1,250$ -----> inequality B

$y \leq 0.50(5,000)$

$y \leq \$2,250$ -----> inequality C

$x \geq \frac{1}{2}y$ -----> inequality D

Substitute equation A in the inequality D and solve for y

$5,000-y \geq \frac{1}{2}y$

Multiply by 2 both sides

$10,000-2y \geq y$

Multiply by -1 both sides

$-10,000+2y \leq -y$

Adds y both sides

$-10,000+2y+y \leq 0$

$-10,000+3y \leq 0$

adds 10,000 both sides

$3y \leq 10,000$

Divide by 3 both sides

$y \leq \$3,333.33$ -----> inequality E

therefore

<em>Solve for y</em>

we have

$y \leq \$2,250$ -----> inequality C

$y \leq \$3,333.33$ -----> inequality E

The solution of inequality C and inequality E is

$y \leq \$2,250$

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

so

$x \geq \$2,750$ -----> inequality F

<em>Solve for x</em>

we have

$x \geq \$1,250$ -----> inequality B

$x \geq \$2,750$ -----> inequality F

The solution of inequality B and inequality F is

$x \geq \$2,750$

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0

3 years ago

Find measure of angle b

bogdanovich [222]

Answer:

22°

Step-by-step explanation:

cos B = (c2 + a2 − b2)/2ca

cos B = ( $10^{2}$ + $6^{2}$ - $5^{2}$ )/ 2(10)(6)

cos B = .925

$cos^{-1}$ B = 22.33

4 0

3 years ago