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jolli1 [7]
3 years ago
5

A road is 3/5 of a mile long. A crew needs to repave 3/4 of the road. How long is the section that needs to be repaved? Write yo

ur answer in simplest form.
Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

9/20 mile

Step-by-step explanation:

Take (calculate) 3/4 of 3/5 mile:

3      3

---- * ---- = 9/20

 4     5

9/20 mile needs to be repaved.

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Given x || y and mZ1 = 42° .<br> What is m26?<br> Enter your answer in the box.
ICE Princess25 [194]

Answer:

42

Step-by-step explanation:

since x is parallel to y m 26 remains constant

5 0
3 years ago
A 92-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun?
valentinak56 [21]

Answer:

The angle of elevation of the sun is 38°

Step-by-step explanation:

We can set up the diagram for the the question by interpreting it, you can check the diagram at the attached file.

We can see that after the interpretation of the question we arrived at a triangle,. Where the vertical side represent the 92-ft. which is the height of the tree and the horizontal side represent the 120 ft. which is the shadow's lenght. Then the angle of elevation of the sun can ba calculated using tangent ratio, from our knowledge of trigonometry

Tan(θ )= opposite/adjacent

Where our opposite =92ft

Adjacent= 120ft

Tan(θ ) =92/120

θ =tan-1( 92/120)

θ = 37.48°

Therefore, the angle of elevation of the sun If we round up our decimal value to the nearest 10th, we have θ = 38°

6 0
3 years ago
Chris went to the store to purchase 6.5 gallons of milk. When he got to the store, he noticed that the milk was no longer sold i
Aleks [24]

6.5 gallons = 24.6052 liters

6.5 has 2 significant figures, so it would need to be 25 liters

7 0
3 years ago
You must be at least 5 ft tall to ride the roller coaster? write an inequality that represents this statement
joja [24]

Answer:

5ft > can ride the roller coaster??

Step-by-step explanation:

im not 100% sure what u mean

3 0
2 years ago
Read 2 more answers
"Find the point at which the line touches the circle" I really need help no one helped last time...
Troyanec [42]
The solution for a system of equations will be when the graphs touch each other, or intersect, and that happens when both equations equate each other, so, let's do so,

\bf \begin{cases}&#10;\boxed{y}=3x+10\\&#10;-------\\&#10;x^2+y^2=10\\&#10;y^2=10-x^2\\&#10;y=\sqrt{10-x^2}&#10;\end{cases}\qquad \qquad \boxed{3x+10}=\sqrt{10-x^2}&#10;\\\\\\&#10;\textit{now we square both sides}\qquad (3x+10)^2=(\sqrt{10-x^2})^2&#10;\\\\\\&#10;(3x+10)^2=10-x^2\implies 9x^2+60x+100=10-x^2&#10;\\\\\\&#10;10x^2+60x-90=0\implies x^2+6x-9=0\implies (x+3)(x+3)=0&#10;\\\\\\&#10;x=&#10;\begin{cases}&#10;-3\\&#10;-3&#10;\end{cases}\qquad thus\qquad \boxed{x=-3}

\bf -------------------------------\\\\&#10;\textit{now, when x = -3, what is \underline{y}?}\qquad y=3x+10\implies y=3(-3)+10&#10;\\\\\\&#10;y=-9+10\implies \boxed{y=1}\qquad \qquad therefore\qquad (\stackrel{x}{-3}~,~\stackrel{y}{1})
6 0
3 years ago
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