a. How far is the spot on the beach from the parking lot?
b. How far will he have to walk from the parking lot to get to the refreshment stand?
Show work please.
Answers
The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.
a. The answer would be sqrt(18*32)=24
The question to the second question can be answered by using the Pythagorean theorem.
32^2+24^2=1600=40^2
b. The answer would be sqrt40^2=40
The beach, the parking lot and the refreshment stand are illustrations of similar triangles.
The distance between the spot and the parking lot is 24 mThe distance between the refreshment stand and the parking lot is 40 m(a) The distance between the spot and the parking lot
Represent this distance with d.
So, the equivalent ratio is:
[tex]\mathbf{32:d = d : 18}[/tex]
Express as fractions
[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]
Cross multiply
[tex]\mathbf{d \times d = 32 \times 18}[/tex]
[tex]\mathbf{d^2 = 576}[/tex]
Take square roots
[tex]\mathbf{d = 24}[/tex]
Hence, the distance between the spot and the parking lot is 24 m
(b) The distance between the refreshment stand and the parking lot
Represent this distance with d.
Using Pythagoras theorem we have:
[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]
[tex]\mathbf{d^2 = 1600}[/tex]
Take square roots
[tex]\mathbf{d = 40}[/tex]
Hence, the distance between the refreshment stand and the parking lot is 40 m
Read more about similar triangles at:
https://brainly.com/question/14926756
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Mark dug a 20 foot hole in 4 hours. Which rational number shows the average depth Mark dug each hour? Check all that apply.
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(D) −[tex]\frac{20}{4}[/tex]
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
The absolute value, as "distance from zero", is used to define the absolute difference between arbitrary real numbers, the standard metric on the real numbers. Complex numbers [ edit ] The absolute value of a complex number z {displaystyle z} is the distance r {displaystyle r} of z {displaystyle z} from the origin.
Answer:
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What is the quadrant of terminal angle for sin330°?
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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[tex]5 \sqrt{20} [/tex]
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Answer:
Step-by-step explanation:
=[tex]5\sqrt{20}[/tex]
=[tex]5\sqrt{2^{2}*5 }[/tex]
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Step-by-step explanation:
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Answers
Answer:
there is no picture..
Step-by-step explanation:
The first graph shows a dilation.
Option A is the correct answer.
What is dilation?Dilation is a transformation that changes the size of an object without changing its shape.
It involves scaling an object by a factor called the scale factor.
We have,
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The initial shape is a rectangle.
The dilated shape is also a rectangle.
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Second graph:
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Third graph:
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The dilated shape is also a rectangle but the size is not dilated in similar dimensions.
So it is not a dilation.
Thus,
The first graph shows a dilation.
Learn more about dilation here:
https://brainly.com/question/13176891
#SPJ5
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
[tex]266[/tex] [tex]\frac{2}{3}[/tex] [tex]yards[/tex]
Step-by-step explanation:
1. Approach
First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, [tex]3feet=1yard[/tex]. Next, find the area of the room by multiplying the length by the width.
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The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, [tex]3feet=1yard[/tex].
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Answer:
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Step-by-step explanation:
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Answer:
slope is -1/4
Step-by-step explanation:
[tex]\frac{-4}{12}[/tex]=[tex]\frac{-1}{4}[/tex]
[tex]\frac{-2}{8}[/tex]= [tex]\frac{-1}{4}[/tex]
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Answers
Answer:
x = 27.8
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Step-by-step explanation:
∡D ≅ ∡A, therefore:
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Answer:
1st = 18
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4th= 8
Step-by-step explanation:
hope it helps
Answer:
33. m = 18
34. b = -29
35. w = -6
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Step-by-step explanation:
33. -3 + m = 15
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m = 18
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+w +w
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Step-by-step explanation:
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1) 3.75
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Simplify the ratio 18:24:42
Answers
Answer:
for simplifying these ratio
we have to first
find out GCF of all
which is 6
now divide each of them with 6
then we will get. 3:4:7
hope it will help
Answer:
3:4:7
Step-by-step explanation:
First find HCF
HCF:6
18/6=3
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42/6=7
Therefore the simplified ratio of 18:24:42 is:
3:4:7
Use the figure to find the measures of the numbered angles.
m∠1=
∘, m∠2=
∘, m∠3=
∘, m∠4=
∘, m∠5=
∘, m∠6=
∘, m∠7=
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Step-by-step explanation:
consider 61°=m angle 8
angle 1=angle 8........ corresponding angle
angle 1=61°
angle 2+angle 1=180°.........angles in linear pair
180-61
angle 2=119°
angle 3=angle 8 alternate angle
angle 3=61°
angle 4=angle 2............ opposite angles
angle 4=119°
angle 5=angle 4......... alternate angles
angle 5=119°
angle 6=angle 8......... opposite angles
angle 6=61°
angle 7=angle 5.......... opposite angles
angle 7=119°
An examination class of 55% of pupil scored 70% , if 54% scored above 70%. how many scored above 70%.
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Mathematics-Session 1: No Calculator
1. Which situation could be modeled by the expression - 12 x
A.
B.
A piece of rope has a length of 12 feet. It is cut into 3-foot pieces.
A fish is swimming 12 feet below sea level. It then swims to of that depth.
A student deposits $12 into a bank account. He then deposits another of that
C.
amount.
D.
A bird decreases the height it flies by 12 yards. It then decreases the height it flies
by another ş yard.
Answers
Answer:
Think it is D I am not sure
Step-by-step explanation:
need help please somebody
Answers
Answer:
25.5 u²
Step-by-step explanation:
Find the area of the rectangle, then the area of the triangle. To get the final area, add them together.
Rectangle: 3 x 5 = 15
Triangle: 3 x 7 ÷ 2 = 10.5
Total: 15 + 10.5 = 25.5 u² (you put it in units since you don't know the measure, e.g. cm, m, km...)
