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3 years ago

Find each Unit rate:

Mathematics

2 answers:

raketka [301]3 years ago

5 0

The unit rate is 2.5 meters in 1 second

40/16=2.5

grin007 [14]3 years ago

4 0

This is the answer, hope it helps

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Jordan and her family enter a race around a track. Jordan take 10 minutes to run a lap, her sister 12 minutes and Katie 20 minut

Nutka1998 [239]

They will be finished at 6:56

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3 years ago

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:

<u><em>The picture of the question in the attached figure</em></u>

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

Does anyone know how to do this?

xeze [42]

Answer:

Step-by-step explanation:

6 0

3 years ago

How many kilometers can that tortoise walk in 1 hour

vfiekz [6]

5 kilometers

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6 0

2 years ago

Help please! I’ll give brainliest.

Lapatulllka [165]

9514 1404 393

Answer:

(a) not proportional

(b) k = 7/8

Step-by-step explanation:

When a linear equation is of the form ...

y = mx + b

with b ≠ 0, the relation is NOT PROPORTIONAL.

If b=0, so the equation is of the form ...

y = kx

then the relation IS PROPORTIONAL. The constant of proportionality is k.

(a) Not proportional

(b) Proportional with k = 7/8

8 0

3 years ago