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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

1 answer:

7 0

At the moment it’s in standard form. We can easily turn this into slope int form (y= mx + b) tho

3y= -18x -18
y= -6x - 6

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A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be ins

maria [59]

Answer: $4004.76\ ft$

Step-by-step explanation:

Given

inclination is $\theta=75^{\circ}$

Mountain is $h=3900\ ft$ high

Cable is tied $x=910\ ft$ from the base of the mountain

From the figure, length of the shortest path is $l$

It is given by using Pythagoras theorem

$\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft$

7 0

2 years ago

Last month it rained 16 out of 30 days. Which ratio is equivalent to the number of days it did NOT rain last month?

nlexa [21]

c, 7:15

Hope this helps! May I please have brainliest? :D

4 0

2 years ago

Read 2 more answers

A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15

Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

3 0

2 years ago

6. The vertices of ALMN are L(7,4), M(7,16), and

max2010maxim [7]

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length $LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units$

Length $LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units$

Length $MN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units$

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

$MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units$

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

Therefore, A=0.5*12*35= 210 square units

4 0

3 years ago

Pete the penguin loves to self down his favorite hill.If he hits a speed of 50m/s after 5 seconds,what is the acceleration

Vilka [71]

I have to admit I don't know what exactly you are asking, but I think this is it: 10m/s.
Divide m/s by time.

8 0

3 years ago