Please help me with this question.​

Answer:

A. The length of the third side is approximately 5 feet.

B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

  = [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]

  = 36 + 9 - 36 x 0.5

  = 45 - 18

[tex]b^{2}[/tex] = 27

b = [tex]\sqrt{27}[/tex]

  = 5.1962

b  = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]

So that,

[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]

Sin A = [tex]\frac{0.886*6}{5.2}[/tex]

Sin A = 0.99923

A = [tex]Sin^{-1}[/tex] 0.99923

  = 87.75

A ≅ [tex]88^{o}[/tex]

Since the sum of angle in a triangle = [tex]180^{o}[/tex].

Then,

A + B + C = [tex]180^{o}[/tex]

[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]

[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]

     = [tex]32^{o}[/tex]

C = [tex]32^{o}[/tex]

Thus,

A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].

Answer:

$62 dollars an hour

Step-by-step explanation:

2.5x+93=248

248-93=155

2.5x=155

155/2.5=x

x=$62 dollars an hour

Given:

The units sold follows the equation

[tex]U = 10000-2000P[/tex]

To find:

An equation for sales as a function of price.​

Solution:

Let S represents the sales function.

We know that, the money from sales is equal to the units sold times the price P of the unit.

[tex]S=U\times P[/tex]

[tex]S=(10000-2000P)\times P[/tex]

Using distributive property, we get

[tex]S=10000P-2000P^2[/tex]

Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].

Answer:

y=-2x+21

Step-by-step explanation:

use y2-y1/x2-x1 to find the slope so= -17-3/19-9=-20/10=-2

so once you find the slope take one of the points and plug it into the slope-int equation so... if you take (9,3) and take your slope (-2) so it would be: 3=-2(9)+b solve for b to get 21=b as your int. so.. y=-2x+21

Answer:

Constant of proportionality

Step-by-step explanation:

There is nothing to explain

Answer:

5.5 minutes

Step-by-step explanation:

55/10=5.5

5.5 of 55 is 20%

Or 5 minutes and 30 seconds

Answer:

Total number of tile used = 300

Step-by-step explanation:

Given:

Length of floor = 240 inches = 240 / 12 = 20 ft

Width of floor = 180 inches = 180 / 12 = 15 ft

Size of each tile =  1 square foot

Find:

Total number of tile used

Computation:

Area of floor = 20 x 15

Area of floor = 300 square foot

Total number of tile used = Area of floor / Size of each tile

Total number of tile used = 300 / 1

Total number of tile used = 300

Answer:

-2/1

Step-by-step explanation:

hope this helps

Answer:

121

Step-by-step explanation:

Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.

Answer:

5

Step-by-step explanation:

Y=-3x+5

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

Step-by-step explanation:

The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

the slope of the line would be 1/2 I think

Answer:The ratio is 1:5

Step-by-step explanation:

Answer:

it is 1:5 because if you divide both sides by 4, you get 1:5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

I think its the number of months

Step-by-step explanation:

It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.

Hope this helps:)

Answer:

The mean of the test is 65

Step-by-step explanation:

Let the mean be x and SD be y

3 SD BELOW the mean means that we are taking away 3 SD FROM the mean

Mathematically, we have that as;

x - 3y = 41 •••••(i)

73 is 1 SD above mean

Mathematically;

x + y = 73 ••••••••(ii)

So let us solve both equations simultaneously

Simply multiply equation ii by 3 then add to i

x - 3y = 41

3x + 3y =219

4x = 41 + 219

4x = 260

x = 260/4

x = 65

Answer:

its actually 35

Step-by-step explanation:

Answer:

8/10

Explanation:

math

Answers (in order):

I used the Pythagorean Theorem to solve each one:

[tex]h=13[/tex]

[tex]l=9[/tex]

d ≈ 8.0622

l ≈ 6.7082

Hope this helps! :)

Answer:

Ye im pretty sure your right

Step-by-step explanation:

Answer:

d,c,b,a

Step-by-step explanation:

Answer:

8 because u need to divide 40 by 5

Answer:

umm.. I think the answer choices are wrong because the slope is -2.

y = mx + b

y = (slope)x + (y-intercept)

y = -2x + 4

and i have proof!

Step-by-step explanation:

Answer:

The answer is 6(3-4x) because I just did on a test

Answer:

bears beets battlestar galactica

Step-by-step explanation:

Answer:

37x 5y

Step-by-step explanation:

37×2= 74 and 5×4 is 20 (74 +20)= 94

Answer:

B- (-5, -6)

Step-by-step explanation:

By looking on the graph, if you were to reflect this point across the x-axis if will fall under point (-5, -6)

I hope this helps! If not I'm so sorry! Have a lovely day.

Answer:

$154

Step-by-step explanation:

Find the selling price by finding the cost with the 40% markup:

Multiply 110 by 1.4:

110(1.4)

= 154

So, the selling price is $154

Answer:lol

Step-by-step explanation:I still don’t know

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17