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ahrayia [7]
3 years ago
9

The circumference of a circle is 13π m. What is the area, in square meters? Express your answer in terms of π π.

Mathematics
2 answers:
Nuetrik [128]3 years ago
7 0

Answer:

42.25π

Step-by-step explanation:

The circumference is the diameter times pi.

This means that 13π/π=13 (the diameter)

The radius is diameter/2, so it is 13/2 which is 6.5

The area is the radius squared times pi

6.5^2 = 42.25

42.25π is the area

Deffense [45]3 years ago
4 0

Answer:

13×(22/7)whole square

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John Hay, George W. Goethals,and William C. Gorgas were all involved in
Ede4ka [16]

 John Frank Stevens, William C Gorgas and George Washington Goethals 1914 (opened)The building of the 50-mile-long Panama Canal was a collosal project, joining together the Pacific and Atlantic oceans by digging away 240 million metric tons of earth through the Isthmus of Panama. Almost as big a project was sanitising the area around the canal, which was mosquito infested and home to serious diseases like Malaria and Yellow Fever.
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8 0
3 years ago
John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite
otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

  • Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

  • Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

  • Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>

  • Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

  • Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

  • Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0
2 years ago
A bus company took a tour bus on a ferry when there were 30 people aboard. The ferry charged the bus company $180. The following
OLEGan [10]
Problem: A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? How much does each person cost? Show this using y = mx + b form.

Solution:
Let x = the number of people on the bus
Let y = the total cost for the bus with its passengers to use the ferry.

Then, when there are 30 people on the bus (x = 30), the cost was $180 (y = 180). This means the point (x, y) = (30, 180).
Also, when there were 50 people on the bus, the cost was $220. So that is the point (50, 220).

You see - we have two points and so we can write the equation of a line that goes through those points. The first thing we have to do is find the slope.

The slope of the line joining two points is the rise divided by the run. That means

m = (y2 - y1) / (x2 - x1)

So we put in the values of (30, 180) and (50, 220):

m = (220 - 180) / (50 - 30)
m = 40 / 20
m = 2.

The slope is 2. Now we can write it in the form y = mx + b, using 2 for m:

y = 2x + b.

This equation connects both points, so that means it goes through those points. We want to know "b" next, so we can now substitute in either point for the x and the y. I will substitute in x = 50 and y = 220:

220 = 2(50) + b
220 = 100 + b
b + 100 = 220
b = 120.

Now I know the b and the m, so I can finally write the full y=mx + b form of the equation:

y = 2x + 120.

For the other questions, I can look at the equation I got. The y-intercept (b value) is $120. That means that we are adding $120 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.

Here's an example: if you had just 10 people on the bus, you'd pay $120 for the empty bus and $2 for each person. That's $20 for the people and $120 for the bus. That total is $140. Let's see if (10, 140) works in the equation we got:

y = 2x + 120
140 ?=? 2(10) + 120
140 ?=? 20 + 120
yes. 140 = 140. It does work.

Now you try it with your question.
5 0
3 years ago
Help I will mark brainly
Schach [20]

Answer:

it is -25/18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Anybody know the answer?
Tcecarenko [31]

Method 1.

Use the formula of a distance between two points:

A(x_A;\ y_A),\ B(x_B;\ y_B)\\\\d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}

We have

A(-4,\ 5)\to x_A=-4,\ y_A=5\\B(2,\ -3)\to x_B=2,\ y_B=-3

substitute

|AB|=\sqrt{(-3-5)^2+(2-(-4))^2}=\sqrt{(-8)^2+6^2}=\sqrt{64+36}=\sqrt{100}=10

Answer: 10

Method 2

Look at the picture.

Use the Pythagorean theorem:

x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\\\\x=10

Answer: 10

6 0
3 years ago
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