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3 years ago

6

Help? SOH, CAH, or TOA

1 answer:

tatyana61 [14]3 years ago

7 0

First you'd find angle C as it is opposite the side AB that you want to find
But to find angle c you first have to find angle A using the soh
Then you'd do 180 - (90 + angle A) =angle C as angles in a triangle add up to 180
Then you'd use the soh using angle A and 12 to find side AB

Working out
Sin(x)=12/7
Sin-1(7/12)
=35.685

180- (90+35.685)
=54.315

Sin(54.315)=o/12
Sin(54.315)*12
=9.746794345

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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! SUPER IMPORTANT QUESTION!!!

Anettt [7]

Answer:

Distance between two cities is 193.94 miles.

Step-by-step explanation:

We have,

Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.

Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°

We assumed, the diameter of earth is 7917.5 miles.

So, the radius = $\frac{7917.5}{2}$ = 3958.75 miles

So, using the cosine formula, we have,

$a^{2}=b^{2}+c^{2}-2bc\cos A$

i.e. $a^{2}=3958.75^{2}+3958.75^{2}-2\times 3958.75\times \cos 2.8441$

i.e. $a^{2}=31343403.13\times 0.0012$

i.e. $a^{2}=37612.08$

i.e. a= 193.94 miles.

Hence, the distance between two cities is 193.94 miles.

8 0

3 years ago

please help I'm a week behind.Use the given scale factor and the side lengths of the scale drawing to determine the side lengths

kkurt [141]

2:1 means its by a factor of 1/2. Meaning you just use the original number and divide by 2. The answer is B

4 0

3 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

Alexxandr [17]

Answer:

127.253 m^3

Step-by-step explanation:

To find the volume, we start by getting the area of the square base

Mathematically, that will be 4.9^2 m^2

To complete the volume, we multiply the area of the base by the height

= 4.9^2 * 5.3 = 127.253 m^3

4 0

3 years ago

Read 2 more answers

7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and

ozzi

Answer:

See below

Step-by-step explanation:

<u>Find the intersection of circles</u>

x² + y² + 2x = 0 and
x² + y² - 3y = 0

<u>Subtract the equations to find:</u>

2x = -3y ⇒ y = -2/3x

<u>By substitution find the points:</u>

(0, 0) and (-1.385, 0.923)

<u>Find midpoint between these two points:</u>

x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615

<u>Find perpendicular bisector passing through this point:</u>

y - 0.4615 = 3/2(x + 0.6925)
y = 1.5x + 0.4615 + 1.5(0.6925)
y = 1.5x + 1.50025

<u>Find intersection of the lines, it is the center:</u>

y = 1.5x + 1.50025
x + 2y + 8 = 0

<u>Solving we get:</u>

x = -2,75, y = -2.625

<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>

(x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
x² + 5.5x + y² + 5.25y = 0
4x² + 22x + y² + 21y = 0
4x² + 4y² + 22x + 21y = 0

4 0

3 years ago

Read 2 more answers

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all t

melomori [17]

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°

8 0

3 years ago