Wich integer represents sea level

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The sea level is always indicated by zero. The above sea level is indicated with a positive integer. The below sea level is indicated with a negative integer

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Allison practices her violin for at least 12 hours per week she practices for three fourths of an hour each session if Allison has already practiced 3 hours this week how many more sessions remains for her to meet or exceed her weekly practice goals.

Answers

at least 12 more sessions

the regular price for a bicycle is 210.19. the sale price is $43.48 less than the regular price. what is the sale price?

Answers

Answer:

$166.71

Step-by-step explanation:

210.19-43.48=166.71

The answer is 109.99 hope this helped u out

Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kathy's home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 9 miles from her home. The football field is 12 miles from the library.a. How far is the library from the park?
b. How far is the park from the football field?

Answers

see the attached figure to better understand the problem

Let

z---------> distance from the library to the park in miles

x-------> distance from the park to the to the football field in miles

y-------> distance from the park to Kathy's home in miles

we know that

In the right triangle ABC

Applying the Pythagorean Theorem

$x^(2) +y^(2) =(12+9)^(2) \n x^(2) +y^(2)=441$ -----> equation $1$

In the right triangle ABD

Applying the Pythagorean Theorem

$12^(2) +z^(2) =x^(2) \n 144 +z^(2)=x^(2)$ -----> equation $2$

In the right triangle BCD

Applying the Pythagorean Theorem

$9^(2) +z^(2) =y^(2) \n 81 +z^(2)=y^(2)$ -----> equation $3$

Add equation $2$ and equation $3$

$144 +z^(2)=x^(2)$

$81 +z^(2)=y^(2)\n ------$

$144+81+2z^(2) =x^(2) +y^(2)$ -----> equation $4$

Substitute equation $1$ in equation $4$

$144+81+2z^(2)=441\n 2z^(2) =441-225\n 2z^(2)=216\n z^(2)=108\n z=√(108) miles\n z=10.39 miles$

Find the value of x

$144 +z^(2)=x^(2)\n 144 +√(108)^(2)=x^(2) \n x^(2) =144+108\n x^(2) =252\n x=√(252) miles\n x=15.87 miles$

therefore

the answer is

Part a) The distance from the library to the park is equal to $10.39 miles$

Part b) The distance from the park to the to the football field is equal to $15.87 miles$

Look at the picture in the attachment.

Using the Pythagorean theorem, set up a system of three equations:
$x^2+y^2=(12+9)^2 \n12^2+z^2=x^2 \n9^2+z^2=y^2 \n \nx^2+y^2=441 \n144+z^2=x^2 \n81+z^2=y^2$

$\hbox{substitute } 144+z^2 \hbox{ for } x^2 \hbox{ and } 81+z^2 \hbox{ for } y^2 \hbox{ in the first equation:} \n144+z^2+81+z^2=441 \n225+2z^2=441 \n2z^2=441-225 \n2z^2=216 \nz^2=(216)/(2) \nz^2=108 \nz=√(108) \nz=√(36 * 3) \nz=6√(3) \n z \approx 10.39$

$81+z^2=y^2 \n81+108=y^2 \n189=y^2 \n√(189)=y \n√(9 * 21)=y \ny=3√(21) \n y \approx 13.75$

a. The library is approximately 10.39 miles (exactly: 6√3 miles) from the park.
b. The park is approximately 13.75 miles (exactly: 3√21 miles) from the football field.

Plz help on question 15 through 17

Answers

I believe 17, is 4
Number 15 is 1

Can you tell me what is 15-2x=3x

Answers

15 - 2x = 3x
15 = 3x + 2x
15 = 5x
5x = 15
x = 15/5 = 3

The answer is 3x because first you will add 2x on both sides which will give you 5x on the other side. Then you divide 5x on both sides. 15/5x=3x

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