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Debora [2.8K]
3 years ago
14

#’s 8-13. Someone please help!!

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0
Can you add vertical angles and or shared sides
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At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th
riadik2000 [5.3K]

Answer:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

Step-by-step explanation:

Incomplete question:

<em></em>\angle CBD = 53^\circ<em></em>

<em></em>\angle CAB = 35^\circ<em></em>

<em></em>AB = 75<em></em>

<em></em>

<em>See attachment for complete question</em>

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

\angle ABC + \angle CBD = 180 --- angle on a straight line

\angle ABC + 53= 180

Collect like terms

\angle ABC =- 53+ 180

\angle ABC =127^\circ

\angle ABC + \angle ACB + \angle CAB = 180 --- angles in a triangle

\angle ACB + 127 + 35 = 180

Collect like terms

\angle ACB =- 127 - 35 + 180

\angle ACB =18

Apply sine rule

\frac{\sin A}{a} = \frac{\sin B}{b}

In this case:

\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}

This gives:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

4 0
3 years ago
Read 2 more answers
Solve the absolute value inequality.<br><br> |2x - 3| &gt; 7
s344n2d4d5 [400]

Hi!

<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>

<u><em /></u>

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

x > 5

Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

2x < -4

x < -2

Now, as stated above, since it's a greater than symbol it means OR.

<u><em>x > 5 OR x < -2</em></u>

<u><em></em></u>

<u><em>For more information on solving absolute value inequalities:</em></u>

brainly.com/question/14473339

<em />

<em />

6 0
2 years ago
A number n is multiplied with —9 to give 63. Find the value of n.
FrozenT [24]

Answer:

n = -7

Step-by-step explanation:

63÷-9

5 0
2 years ago
Read 2 more answers
Moonshine Problem: How many gallons of 20% moonshine and how many gallons of 30% moonshine have to be mixed together to make 100
Sindrei [870]

Answer:

50 gallons 20%

50 gallons 30%

Step-by-step explanation:

If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:

x + y = 100

0.20x + 0.30y = 0.25(100)

Solve the system of equations using substitution or elimination.  Using substitution:

0.20x + 0.30(100 − x) = 0.25(100)

0.20x + 30 − 0.30x = 25

5 = 0.10x

x = 50

y = 50

3 0
3 years ago
Combine the terms to simplify the expression: 5y+12x-y-8x
Sedbober [7]

Answer: 5y + 4x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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