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Ugo [173]
3 years ago
15

Find the distance (2,-2) and (-8,-2)

Mathematics
2 answers:
Naddik [55]3 years ago
8 0
The distance between the two is 10
erma4kov [3.2K]3 years ago
8 0

Answer:

the distnace between (2,-2) and (-8,-2) is 5.099

Step-by-step explanation:

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The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?
tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

<u>Explanation:</u>

<u />

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = \frac{perpendicular}{base}  = \frac{height of the fence}{length of the shadow}

\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in

Therefore, the length of the shadow is 124.7 in

5 0
3 years ago
P/90 = 4/18. What does p equal
Phoenix [80]
P/90 = 4/18
18P = 90*4 [cross-multiplication]
P = 360/18
P = 20
So, answer is P equals to 20
3 0
3 years ago
Read 2 more answers
a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
3 years ago
Point M is the midpoint of AB . AM=3x+3, and AB=8x−6.<br><br> What is the length of AM?
MissTica
AM=3x+3
AB=8x-6
AB=2AM
AM=AB/2
AM=(8x-6)/2
AM=4x-3
3x+3=4x-3
4x-3x=3+3
x=6

AM=3x+3
AM=3(6)+3
AM=18+3
AM=21
6 0
3 years ago
Read 2 more answers
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
kifflom [539]

Answer:

\displaystyle y=\frac{2}{3}(x+5)+2

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

\displaystyle y=-\frac{3}{2}x+4

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}

\displaystyle m_2=-\frac{1}{-\frac{3}{2}}

\displaystyle m_2=\frac{2}{3}

Now we know the slope of the new line, we use the slope-point form of the line:

y=m(x-h)+k

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}

6 0
3 years ago
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