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3 years ago

What the percent of 160 is 56? Use the bar model

Mathematics

1 answer:

kow [346]3 years ago

8 0

Answer:

35%

Step-by-step explanation:

See attached for visual

160= 8*20
8 = 1/20 = 5% of 160
56= 8*7
7*5% = 35%

56 is 35% of 160

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each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

6 0

3 years ago

Three packages of pens and one box of paper cost $26. Two packages of pens and 7 boxes of paper cost $49. How much does one box

algol13

Answer:

5 dollars

Step-by-step explanation:

Let's call the price of a package of pens n, and the cost of a box of paper r.

3n+r=26

2n+7r=49

Multiply the first equation by 7:

21n+7r=182

Subtract the second equation from the first:

19n=133

Divide both sides by 19 to isolate n:

n=7

Plug this back in to find the value of a box of paper:

3(7)+r=26

21+r=26

r=5

Hope this helps!

5 0

3 years ago

What is a slope of a line represented by the equation 2x + 3y equals -12

Verizon [17]

Answer:

M = -2/3

Step-by-step explanation:

2x + 3y = -12 (subtract 2x from both sides)

3y= -2x -12 (divide everything by 3)

Y = -2/3x - 4

M= -2/3

7 0

3 years ago

The price of a pie is now $11. how many pies are sold? how many pies does each producer make? how many producers are there? how

Anettt [7]

Is there suppose to be a link or something more to this question?

3 0

2 years ago

Answer this question in the simplest

Molodets [167]

Answer: 1:2

Step-by-step explanation: if she sleeps 8 hours out of 24 hours, 8 goes into 24, 3 times so 1 to 2 ratio because you subtract the time she is awake from the time she is asleep

7 0

3 years ago

Read 2 more answers