Given the parallelogram solve for x and find the measure of

The distance from library and the park is 12 miles.

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Jaime ride her bike in north = 5 miles

Jaime ride her bike in east = 13 miles

The distance from library and the park be x.

The below diagram shows about the Jaime's riding.

The distance from library and the park can be find by using Pythagoras theorem,

[tex]Hypotenuse^{2} = Perpendicular^{2} + base^{2}[/tex]

On substituting the above values,

⇒ [tex]13^{2} = 5^{2}+x^{2}[/tex]

⇒ [tex]x^{2} =169-25[/tex]

⇒ [tex]x^{2} = 144[/tex]

⇒ [tex]x=\sqrt{144}[/tex]

⇒ [tex]x=12[/tex]

Hence we can conclude that the distance from library and the park is    12 miles.

Learn more about trigonometric ratios here

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Answer:

hey there buddy

Step-by-step explanation:

Answer:

Fouls > Average Fouls

Step-by-step explanation:

Null Hypothesis [ H0 ] : Fouls = Average Fouls ie 11.5

Alternate Hypothesis [ H1 ] : Fouls > Average Fouls

t =  ( x - u ) / ( s / √n )

where x = actual observed mean = 12.2 here , u = assumed population mean = 11.5 , s = sample standard deviation = 1.6 , n = sample size = 34

So, t = (12.2 - 11.5 ) / ( 1.6 / √34 ) = 0.7 /  ( 1.6 / 5.83 ) = 0.7 / 0.275 = 2.55

t tabulated value for α = 5% right tailed = 1.645 , ie < calculated value 2.55 So , we reject the null hypothesis, & conclude that 'Fouls > Average Fouls'

Answer:

12

Step-by-step explanation:

This is because 2, 3, and 4 can all go into the number and it is the smallest of the ones listed.

Answer: 24

Step-by-step explanation:

1/2 x 12 = 12/24

2/3 x 8 = 16/24

3/4 x 6 = 18/24

Each number can be multiplied by "x" to get a denominator of 24.

Answer: D) From attacks by other nations

Step-by-step explanation:

Answer: D. from attacks by other nations.

Step-by-step explanation:   TRUST ME!!! Answer correct on Edge!  :)

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

Answer:

Look Below

Step-by-step explanation:

y=1/16x^2

multiplying both sides by 16 we get:

16y=x^2

The general form of a parabola is:

(x-h)^2=4p(y-k)

thus

4p=16

p=4

The parabola opens upwrd:

Focus: (h,k-p)

(0,0-4)

=(0,-4)

Directrix: y=-4

Answer:

$17499.25

Step-by-step explanation:

349,985*0.05=17499.25

Answer:

use ph0tomath it'll answer it for you and show how to do it

Answer:

lateral surface area of cone =πrl

Answer:

The slope or rate of change is 8

Step-by-step explanation:

There isn't much to explain, sorry! I hope this helps!

Answer:

40

Step-by-step explanation:

80 divided by 2 is 40 and the formula is L times W times Height and the height is 2 so the base is 40 B times H

It's 40

Answer:

Step-by-step explanation:

A

Answer:

72 words per minute

Step-by-step explanation:

[tex]\frac{1}{y}= \frac{42}{3024}[/tex]

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

y = 72

Answer:

[tex]k =(2,1)[/tex]

[tex]JK = 2[/tex]

Step-by-step explanation:

Given

[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]H = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]I = (3,-2)[/tex] --- [tex](x_3,y_3)[/tex]

See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

[tex]\frac{1}{2}(I + J) = \frac{1}{2}(H+K)[/tex]

[tex]\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)[/tex]

[tex]\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)[/tex]

[tex]\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)[/tex]

Multiply through by 2

[tex](3,-1) = (1+x,-2+y)[/tex]

By comparison:

[tex]1 + x = 3[/tex]

[tex]-2 + y = -1[/tex]

Solve for x and y

[tex]x = 3 - 1 =2[/tex]

[tex]y = -1 +2 = 1[/tex]

So, the coordinates of k is:

[tex]k =(2,1)[/tex]

The length of JK is calculated using distance (d) formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]k =(2,1)[/tex] ---- [tex](x_2,y_2)[/tex]

So:

[tex]d = \sqrt{(0 - 2)^2 + (1 - 1)^2[/tex]

[tex]d = \sqrt{(- 2)^2 + (0)^2[/tex]

[tex]d = \sqrt{4 + 0[/tex]

[tex]d = \sqrt{4[/tex]

[tex]d = 2[/tex]

Hence:

[tex]JK = 2[/tex]

Answer:

A=1/2 ×1.0×2.4=1.2m² is a required answer

Answer:

1a) = 5

1b) = 4

2a)

A = 1/2 x 2.4 x 1.0

A = 1/2 x 2.4

A = 1.2 m²

Step-by-step explanation:

Answer:

12/2.54 ≈ 4.72 inches

Answer

m<a  is 90 and m<b is 40 i don't know which one is da base but i'd go with 40?

Step-by-step explanation:

Answer: Playing sports!!

Answer:

54.98 sq. ft.

Step-by-step explanation:

The sector has an angle of 360 - 332 = 28

Area of the sector = 28π([tex]15^{2}[/tex])/360

                              = 19792.03372.../360

                              = 54.98 sq. ft.

Answer:

2(x+3)(x-1)

Step-by-step explanation:

Because 2x^2+4x-6 can be divided by 2, you can divide them by two. This would make the equation 2(x^2+2x-3). To factor this, you have to find two equation that would make it true. The equation have to be _+_=2 and _x_=-3. The two blanks would be 3 and -1. 3+-1=2 and 3x-1=-3. This means that the equation is 2(x-1)(x+3).

If you need an explanation tell me but if this answer helped you, pls mark as brainliest

Answer:

No solution

Step-by-step explanation:

I used this online calculator to find the answer. It shows the steps and everything.  https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7

Answer:

no solution

Step-by-step explanation:

Answer:

options 3 and 4

Step-by-step explanation:

The exponential function f with base a is defined by

f(x) = a^x

so the exponential functions are options 3 and 4

Answer:

Step-by-step explanation:

For this case we have the following equation:

a = v ^ 2 / r

From here, we must clear the value of speed.

We have then:

v ^ 2 = a * r

v = root (a * r)

Answer:

the formula for the velocity is:

v = root (a * r)

Answer:

v=[tex]\sqrt{ar}[/tex]

Step-by-step explanation:

Step-by-step explanation:

Note 12 is the difference between the numbers..

hope it helps

Answer:

150+93=241

Step-by-step explanation:

I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically

edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193

193 is your answer sorry lol took me a while to work this out or Answer choice C

Answer:

(8,8)

Step-by-step explanation:

x coordinate:

10 + 6

16

16 / 2

8

y coordinate:

6 + 10

16

16 / 2

8

8,8

Answer:

For 20 tickets its 35 dollars

For 50 tickets its 87.50 dollars

For r tickets its 140 dollars

Step-by-step explanation:

Answer:

Heyaa!! My name is Pinky and i'm here to inform you that you're answer is...

Step-by-step explanation:

!!! 2,034,630,000 !!!

My calculations are:

You first look at the ten thousands place which is 27,105 and if you look to the right of the 2,

you see 7.5 and up round up 4 and down round down.

7 is 5 and up so, you round up to 2,034,630,000!!

Have a Nice Day!!

 ~Pinky~