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Olin [163]
3 years ago
13

Can anyone help me with this problem ?

Mathematics
1 answer:
Elena L [17]3 years ago
3 0
Come now !  I'm sure you could unravel it if you look at it and think about it
for a minute or two.

What's an angle bisector ?  It's a line that splits an angle exactly in half.
The two little angles on each side of it are EQUAL.  Each of them is exactly
half of the big angle.

So in this drawing,    (3/2 x - 6)    is equal to    (1/4 x + 4) .
Do you think you could find 'x' ?

3/2 x - 6  =  1/4 x + 4

Add 6 to each side of the equation:    3/2 x = 1/4 x + 10

Multiply each side by 4 :                     6 x = x + 40

Subtract 'x' from each side:                  5 x = 40

Divide each side by 5 :                          x = 8

Angle  CBD  is  1/4 x + 4 .  That's  1/4 (8) + 4 = 2 + 4 = <u>6 degrees </u>



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Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0
3 years ago
In the first million digits of pi,how many threes are there?
sergejj [24]
There are 100229 threes in the first million digits in pi.
3 0
3 years ago
Read 2 more answers
50% increase followed by a 33 1/3% decrease
vredina [299]

Answer:

A 50% increase followed by a 33/1/3% decrease. = ? (1 + 0.5)*(1 - 0.3333333) = 1.5 * 0.666667 = 1. Result is same as original.

6 0
3 years ago
Read 2 more answers
Please explain your answer
MariettaO [177]

Answer:

e = -1/2

Step-by-step explanation:

4/3 = -6e - 5/3

transfer -6e to the right

4/3 = -5/3 -6e

Find the LCM of 3,3and 1

and their LCM is 3. So, divide all through by 3

3(4/3) = 3(-5/3) - 6e × 3

4 = -5 -18e

combine

4 + 5 = -18e

9 = -18e

divide by -18

9/ -18 = -18e/ -18

-1/2 = e

e = -1/2


5 0
3 years ago
Subject : Maths<br> Level : High school<br> Topic : Surds<br> Points : 72
Mila [183]

Answer:

  • a = 5

Step-by-step explanation:

<u>Simplify:</u>

  • √5(√8 + √18) =
  • √5*8 + √5*18 =
  • √40 + √90 =
  • √4*10 + √9*10 =
  • 2√10 + 3√10 =
  • (2 + 3)√10 =
  • 5√10

<u>The value of a:</u>

  • a√10 = 5√10
  • a = 5
6 0
3 years ago
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