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3 years ago

Can someone help me with this?

Mathematics

1 answer:

algol133 years ago

8 0

Answer: x=12

Step-by-step explanation:

we know that sum of a triangle is 180 degrees

one angle is 90 degree

the sum will be 90+(2x+1)+(5x+5)=180

substract 90 from both sides

2x+1+5x+5=180-90

7x+6=90

7x=90-6

divide by 7

x=12

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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

4 years ago

Addison worked 6 more hours this week than last week. In total, she worked 72 hours this week and last week. Using the equation

MArishka [77]

Answer:

h = 33 hours

Step-by-step explanation:

Given that,

Addison worked 6 more hours this week than last week. In total, she worked 72 hours this week and last week.

The equation is :

2h + 6 = 72

We need to find the number of hours

2h = 72 - 6

2h = 66

h = 33

Hence, Adison worked for 33 hours last week.

5 0

3 years ago

Solve for m. 4+|7−m|=5

Stolb23 [73]

|7 - m| = 1
|7 - 6|

m = 6

hope this helps

5 0

3 years ago

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Can somebody help please??? Explain... I need help with with this one problem:

LUCKY_DIMON [66]

Well - I mean. If every lunch costs $4 that means that the relationship should be linear.

You used to be able to draw graphs. But plot it out.

3 0

3 years ago

John runs 500 feet in 1 minute. Identify the correct conversion factor setup required to compute John's speed in inches per seco

slavikrds [6]

Answer:

see the procedure

Step-by-step explanation:

Remember that

$1\ ft=12\ in$

To convert feet to inches multiply by 12

$1\ min=60\ sec$

To convert minutes to seconds multiply by 60

we have

$500\frac{ft}{min}=500(\frac{12}{60})=500(\frac{1}{5})=100\frac{in}{sec}$

7 0

3 years ago

Read 2 more answers