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2 years ago

Please help! 35.1 x 8.4 = ??

Mathematics

2 answers:

Airida [17]2 years ago

5 0

Answer:

294.84

should be correct, I used a calculator.

kaheart [24]2 years ago

3 0

The answer is 294.84

Happy I helped.

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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

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

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

What is the solution x+2y=7 and x-2y=-1

erica [24]

$\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad\qquad2x=6\qquad\text{divide both sides by 2}\\.\qquad\qquad \boxed{x=3}\\\\\text{Put the value of x to the first equation}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\\\2y=4\qquad\text{divide both sides by 2}\\\\\boxed{y=2}\\\\Answer:\ \boxed{x=3\ and\ y=2\to(3,\ 2)}$

7 0

2 years ago

What is the slope of the line?

Simora [160]

Answer:

The slope is 0.5 or (1/2)

Step-by-step explanation:

Find the rise over run.

from -3 to -1 and 2 to 3 rises 1 runs 2 so then you divide 1/2 and get 0.5.

8 0

2 years ago

Evaluate the following expression. 1/5^-2

Romashka [77]

This is how the whole equation goes:
1/x^-a = x^a
So, 1/5^-2 is the same as 5^2, which is 25.

8 0

2 years ago

Read 2 more answers

How to graph 3y=-x-3

saw5 [17]

So you’ll have to isolate the y by dividing the other side of the equation by 3

3y=-x-3
y=-1/3x-1

-1 will be your y intercept and the slope will be -1/3

you’ll start your line by plotting (0,-1)
then from that point you’ll count down one, right 3
or up one, left 3

hope this helps (:

3 0

2 years ago