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Alex787 [66]
4 years ago
10

Prove the identity cos(-x)/[1+sin(-x)]=secx+tanx

Mathematics
1 answer:
Rus_ich [418]4 years ago
3 0
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Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of
kakasveta [241]

Answer:

The width of the yard is approximately 6 feet.

Step-by-step explanation:

1 cubic yard = 27 cubic feet. Then we must find the number of cubic yards.

So we know for 1 cubic yard = $98

And for "x" cubic yard = $58.07

1/x =98/58.07

x = 0.5925

After we figure this out we need to convert this into cubic feet

1 cubic yard = 27 cubic feet

0.5925 cubic yard = x cubic feet

1/0.5925= 27/x

x = 15 .99 cubic feet

So,

width x height x length = 16 cubic feet

w x 8 x (1/3) = 16

w = 48/8 = 6 feet

So:

The answer is:

The width of the yard is approximately 6 feet.

Hope this helps, have a good day. c;

7 0
3 years ago
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .
Readme [11.4K]

Answer:

(-21,-19)

\sqrt{849}

Standard form

Step-by-step explanation:

We are given the equation of circle

x^2+y^2+42x+38y-47=0

General equation of circle:

x^2+y^2+2gx+2fy+c=0

Centre: (-g,-f)

Radius: \sqrt{g^2+f^2-c}

Compare the equation to find f, g and c from the equation

g\rightarrow 21

f\rightarrow 19

c\rightarrow -47

Centre: (-21,-19)

Radius (r) =\sqrt{21^2+19^2+47}=\sqrt{849}

Standard form of circle:

(x+21)^2+(y+19)^2=849

The centre of circle at the point (-21,-19) and its radius is \sqrt{849}.

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0
3 years ago
Read 2 more answers
Simplify 2x 2 - y for x = 3 and y = -2.<br> 20<br> 14<br> 16<br> 10<br> i need help please
disa [49]
2x^2-y

Plug in the values. 

2(3)^2-(-2)

2(3)^2+2

Exponents first. 

2*9+2

18+2

20

The answer is 20. 

I hope this helps!
~kaikers
6 0
4 years ago
Select all the sentences that correctly identify the components of the experiment.
lesya [120]

Answer:

A,D,E,F

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:
Leni [432]

Answer:

10 km/hr

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 km/hr

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 km/hr

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 km/hr - 120 km/hr

= 10 km/hr

3 0
3 years ago
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