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Thepotemich [5.8K]
3 years ago
15

7 cos x+1=6 secx solve for x

Mathematics
1 answer:
jonny [76]3 years ago
6 0
7cos(x) + 1 = 6sec(x)
7cos(x) + 1 = 6/cos(x)
7cos^(x) + cos(x) = 6
7cos^(x) + cos(x) - 6 = 0
[7cos(x) - 6][cos(x) + 1] = 0
cos(x) = 6/7 , x = arccos(6/7) and
cos(x) = -1, x = 180
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Dan Perkins goat is attached to the corner of the 8-foot-by-4-foot pump house by QN 8-foot length of rope. The goat eats the gra
SashulF [63]
The goat is tied in the four corners of an 8-foot by 4-foot pump house. The rope is 8 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 8 and 1/4 of a circle radius 4.

Getting the area of radius of 8 feet
Area = pi * r^2
Area = pi * 8^2
Area = 201.06 feet^2

Getting the area of radius of 4 feet
Area = pi * r^2
Area = pi * 4^2
<span>Area = 50.27 feet^2
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8 0
3 years ago
The tables represent two linear functions in a system,
Alenkasestr [34]

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

First table:

(-4, 26), (0, 10) → b = 10

m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4

\boxed{y=-4x+10}

Second table:

(-4, 14), (0, 2) → b = 2

m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3

\boxed{y=-3x+2}

We have the system of equations:

\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22

5 0
3 years ago
The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi
pav-90 [236]

Answer:

Length is 15 inches

Width is 8 inches

Step-by-step explanation:

A = L*W

the Width = L-7

120 = L (L-7)

120 = L^2-7L

subtract 120 from each side

0 = L^2 - 7L - 120

(L-15) (L +8 )

so L = 15  inches

and W = 15-7 = 8 inches

check your answer: does 15*8 = 120? yes!

6 0
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PtichkaEL [24]

Answer:

2<em>c</em> or 2 x <em>c</em>

Step-by-step explanation:

Product means multiplication, they put 2 first then c last.

Hope this helps

~R3V0

3 0
3 years ago
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3 years ago
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