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natita [175]
3 years ago
5

Pls answer with working out

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0
It is a pentagon so the sum of the angles is 520, therefore:
75+140+2x+5x+3x+5=520
80+140+2x+5x+3x=520
220+2x+5x+3x=520
2x+5x+3x=300
10x=300
x=30

Hope this helps :)
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Please help, I dont know how to do this​
Mrrafil [7]

Answer:

\frac{y-2}{4}

Step-by-step explanation:

Let's start by factoring everything:

\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=

\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=

Now, you can cancel out some terms:

\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=

\frac{y-2}{4}

Hope this helps!

4 0
3 years ago
Find the area of the semicircle. Round your answer to the nearest hundredth.<br> PLEASEE HELPP
trapecia [35]

Answer:

Area of semicircle = 226.08 in²

Step-by-step explanation:

Diameter of semicircle = 24 in

We need to find area of semicircle.

The formula used to find area of semicircle is: Area=\frac{\pi r^2}{2}

First we will find radius

We know that: radius = diameter/2 = 24/2 = 12

Now, finding area

Area=\frac{\pi r^2}{2}\\Area=\frac{3.14\times (12)^2}{2}\\Area=\frac{452.16}{2}\\Area=226.08\:in^2

So, Area of semicircle = 226.08 in²

7 0
2 years ago
What is the relative maximum and minimum of the function?
nevsk [136]
Take the derivitive
f'(x)=3x^2+12x
find where it equals zero
it equal zero at x=0 and x=-4
find the y values
f(0)=-36
f(-4)=-4
the critical points are (0,-36) and (-4,-4)

make sign chart
evalutat f'(x) at x=-5 and x=-1 and x=1, and see their signs
f'(-5)=(+)
f'(-1)=(-)
f'(1)=(+)
see below attachment

max is where sign changes from (+) to (-)
min is where sign changes from (-) to (+)

so
max at (-4,-4)
min at (0,-36)
none of the options are correct, do you have te right problem?

8 0
3 years ago
13. You are at the top of a lighthouse that is 400 ft. Tall. You look down towards the ocean and see a whale located 700 ft. Fro
djverab [1.8K]

Answer:

  29.7°

Step-by-step explanation:

In a right triangle representing the geometry of the problem, the side opposite the angle is the height of your observation (400 ft). The side adjacent to the angle is the distance from shore (700 ft).

You know the tangent ratio is ...

  Tan = Opposite/Adjacent

so your angle of depression satisfies ...

  tan(angle of depression) = (400 ft)/(700 ft)

Using the inverse function, we find ...

  angle of depression = arctan(4/7) ≈ 29.745°

The angle of depression is about 29.7°.

6 0
3 years ago
Crystals fitness center offers yoga classes for $12 per class and sells yoga mats for 19.95. Dana's fitness center offers yoga c
vladimir1956 [14]

Answer:

12x+19.95=13x+9.95

19.95=x+9.95

10=x

So after 10 classes the cost will be the same

12(10)+19.95=120+19.95= $139.95

13(10)=9.95=130+9.95= $139.95

5 0
2 years ago
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