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polet [3.4K]
2 years ago
13

What is the angle measured on the protractor? Please help I’m confused. Thanks!!

Mathematics
1 answer:
sleet_krkn [62]2 years ago
7 0

Answer:

85

Step-by-step explanation:

The line of the right measures 65 degrees (I think), an the line on the left measures 150 degrees. So, 150 - 65 = 85 degrees.

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Based on the data given in the picture, calculate the area of the car track...
Verizon [17]

Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.

The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.

The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.

The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.

After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.

orange area = (green) - (blue)

track area = (10000+625pi) - (8400+441pi)

track area = 10000+625pi - 8400-441pi

track area = (10000-8400) + (625pi - 441pi)

track area = 184pi + 1600 is the exact area in terms of pi

track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.

4 0
2 years ago
A spinner is divided into three equal parts that are colored different. The colors are red white and blue
Aleksandr [31]
Im sorry what is the question
5 0
3 years ago
Read 2 more answers
Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
3 years ago
A store has clearance items that have been marked down by 30%. They are having a sale, advertising an additional 60% off clearan
Schach [20]

Answer:

28%

Step-by-step explanation:

We get 30% off the original price

The new price is (100-30) = 70$ of the original price

Let x = the original price

The new price is .7x

Now get get an additional 60% off.  We pay (100-60) = 40 percent of the price

Take .7x * .4

The new price is .7*.4 x

                               .28x

This is 28 percent of the original price x

8 0
3 years ago
Let ​ f(x)=x2−16x+71 ​ .what is the vertex form of f(x)?what is the minimum value of f(x)? enter your answers in the boxes.
adell [148]
Your vertex is (8,7)

First find the x intercept
-2/2a

X = 16/2
X = 8

Substitute the value x and solve for y
Youd get 7

Hence
(8,7)
7 0
3 years ago
Read 2 more answers
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