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Mnenie [13.5K]
3 years ago
5

Please help me with part c! Thank you!

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

15√3/14.

Step-by-step explanation:

C.  The longest side x + 2 = 7 is opposite the largest angle 120 degrees. The other 2 sides are of length 3 and 5.

Using the Sine Law:

sin 120 = √3/ 2 = sin A'

7 / sin 120 = 5/ sin B

sin B =  5 sin 120 / 7 =  5√3/14.

7 / sin 120 = 3 / sin C

sin C =  3 sin 120 / 7 =  3√3 / 14

sin A + sin B + sin C =   √3/ 2  +   5√3/14 +  3√3 / 14

=  7√3/ 14  +   5√3/14 +  3√3 / 14

= 15√3/14.

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Please help and explain if so thank you
myrzilka [38]

Answer:

<em>y = 6</em>

Step-by-step explanation:

Slope-intercept form:

y = mx + b

m = slope; b = y-intercept

A line with slope 0 is a horizontal line. Since one point on the line has y-coordinate 6, then all points on the line have y-coordinate 6. The y-intercept is 6.

m = 0; b = 6

y = mx + b

y = 0x + 6

y = 6

4 0
3 years ago
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it
Rashid [163]

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

1vat/5hours

<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

           rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)

          time=40/3hours\approx 13.3hours

7 0
3 years ago
Determine the solution set of (2x - 5)2 = 11.
zhenek [66]
I think what you meant was

(2x - 5)² = 11 -- (1)

Square root both sides of (1), i.e.

√(2x - 5)² = ± √11 -- (2)

From (2), we have

2x - 5 = ± √11 -- (3)

By adding 5 to both sides in (3), we have

2x = 5 ± √11 -- (4)

Divide both sides of (4) by 2, and we obtain

x = (5 ± √11)/2 -- (5)

From (5), the solution set of (1) is

x = (5 + √11)/2, (5 - √11)/2 ...Ans.
8 0
3 years ago
Read 2 more answers
No clue what to do for slope , where do i put it ?!!!
Nonamiya [84]
You put the point at (5,0) since it’s rise over run you move 3 up n go 4 to the right
3 0
3 years ago
You want to put a 4 inch thick layer of topsoil for a new 28 ft by 14 ft garden. The dirt store sells by the cubic yards. How ma
Digiron [165]

Answer:

Step-by-step explanation:

1 yard = 3 feet = 36 in

so 1 in = 1/36 yard,  1 ft = 1/3 yard.

The volume of the layer of the topsoil, is:

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(4*28*14)/(36*3*3)= 1955/324=

The store only sells increments of 1/4 = 0.25 cubic yards.

we need 6.034/0.25=

So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.

5 0
3 years ago
Read 2 more answers
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