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3 years ago

An angle is inscribed in the circle as shown.

Mathematics

1 answer:

adell [148]3 years ago

5 0

C. 55

The angle is half of the arc of the circle it cuts in the case 110/2= 55

You can prove this to yourself by knowing that all the circle arcs will always add to the full 360 of a circle, and then that the interior 3 angles of a triangle will always add to 180

So for this case 110+150+100=360
Becomes 55+75+50=180 for the triangle that would be created by the initial angle x

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(Score for Question 2: ___ of 10 points)

Vedmedyk [2.9K]

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

$A=\dfrac{(a+b)h}{2}$

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

$A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2$

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

$A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2$

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

#SPJ1

4 0

1 year ago

Simplify i to the 37th power<br> A-1<br> B- -1<br> C- -i<br> D- i

nika2105 [10]

Answer:

i think D is your answer but i could be wrong

8 0

3 years ago

You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want for $15. You don't

Zolol [24]

Let

x--------> the amount you have left to spend

y--------> the cost of a shirt you want

z------> the amount of the gift card

we know that

$x+y \leq z$ --------> equation $1$

$y=\$ 15$ --------> equation $2$

$z=\$ 60$ --------> equation $3$

Substitute the equation $2$ and equation $3 in the equation [tex] 1$ [/tex]

$x+y \leq z$

$x+15 \leq 60$

therefore

<u>the answer is the option</u>

x+15 is less than or equal to 60

7 0

3 years ago

Read 2 more answers

The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lun

Luden [163]

Answer:

The expected value for a student to spend on lunch each day = $5.18

Step-by-step explanation:

Given the data:

Number of students______$ spent

2 students______________$10

1 student________________$8

12 students______________$6

23 students______________$5

8 students_______________$4

4 students_______________$3

Sample size, n = 50.

Let's first find the value on each amount spent with the formula:

$\frac{num. of students}{sample size} * dollar spent$

Therefore,

For $10:

$\frac{2}{50} * 10 = 0.4$

For $8:

$\frac{1}{50} * 8 = 0.16$ l

For $6:

$\frac{12}{50} * 6 = 1.44$

For $5:

$\frac{23}{50} * 5 = 2.3$

For $4:

$\frac{8}{50} * 4 = 0.64$

For $3:

$\frac{4}{50} * 3 = 0.24$

To find the expected value a student spends on lunch each day, let's add all the values together.

Expected value =

$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24

= $5.18

Therefore, the expected value for a student to spend on lunch each day is $5.18

7 0

2 years ago

Express each fraction as a percent. Round your answer to the nearest whole number.

GREYUIT [131]

Answer:

60.8% which rounds to 61%

42.61% which rounds to 43%

29.14% which rounds to 29%

Step-by-step explanation:

So, there are two ways to do this, either perform the division as you see it, or make it so it is some number over 100 instead of what it is.

For the first one if you just do the division, either with long division or with a calculator you get exactly .608. The other two are not as nice, jsut a warning. From here you multiply it by 100 to get the percent. For instance with .5 (which is half) the corresponding percent is 50%, which is after you multiply .5 by 100). if you need help with the division let me know and I can work you through one.

if we go with the second way we would want to make 125 into 100. To do this we need to multiply it by something to get to 100. Or in other words, 125x=100. This winds up being .8, or 8/10 You could also see it as dividing 125 by 1.25 or 5/4, if you need help with this (or any part in particular really) let me know.

Anyway, since one part of the fraction is being multiplied or divided, the other part does too, so you would take 76 and do the same. Whichever number you use you get 60.8. You don't have to multiply this by 100 since it is already part of a fraction over 100.

Again, let me know if you need more help, I will leave the other two to you unless you need the help.

8 0

3 years ago