Determine the value of x in the diagram. 96° X 84° 96°

Can someone help me graph this?

Elan Coil [88]

y axis is vertical x is horizontal

7 0

3 years ago

What is the difference between the mean of each set? a) 4 b) 5 c) 7 d) 9

Xelga [282]

Mean is the average

So the first mean is 11
The second one is 14.7 so round to 15

15-11 is 4. Hope that is correct

7 0

3 years ago

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

plz i need help with this its due tmrw!! (also my other most recent question is #6 of this and it would be nice for answers for

kipiarov [429]

7. You have $367.50 after two years.

Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.

350(0.025) = 8.75

Since it's for two years, multiply by two.

8.75 x 2 = 17.5.

Add it on to he original, and we have

350 + 17.5 = 367. 5, or $367.50 when converted back to money.

8. The annual interest rate is 2.4%

find the interest rate per year:

120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to.

Set up a system of equations and cross multiply.

$\frac{48}{2000} = \frac{x}{100}$

2000x = 48(100) > 2000x = 4800

2000/2000x = 4800/2000 > x = 2.4

So, the interest rate is 2.4%.

9. the interest paid is $300 after six months, and $600 after a year.

Find the interest rate, similar to problem 7.

3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.

10. four years.

Find interest rate.

200(0.035) = $7/year

Remember that value. Subtract needed from current.

228 - 200 = $28.

So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years.

5 0

2 years ago

What is the volume of the prism?

Vika [28.1K]

For the volume, the formula is length*width*height
so
(2)(1.5)(1.5)=4.5
In other words, your answer would be 4.5

8 0

3 years ago

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