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3 years ago

What is the area of a circle whose radius is 10 m

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Answer:

314.29

Step-by-step explanation:

Area of a circle is: A = πr²

A = 22/7 * 10²

= 22/7 * 100

= 314.2857143

Approx to 2dp = 314.29

kramer3 years ago

7 0

Answer:

A≈314.16m²

I hope that this works for you!

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A 3-meter roll of red ribbon costs $1.89. What is the unit price?

Elan Coil [88]

Answer:

The price of ribbon is $0.63 per meter.

Step-by-step explanation:

It is given that:

Cost of 3 meter ribbon = $1.89

Unit price per meter = $\frac{1.89}{3}$

Unit price per meter = $0.63 per meter

Therefore,

The price of ribbon is $0.63 per meter.

5 0

3 years ago

Triangles MNQ and MOP are similar. What is the slope of segment MO?

asambeis [7]

Answer:

D. 3/2

Step-by-step explanation:

The scale factor is 1/2 from OP / NQ = 1/2. Because of that, MQ is equal to half of MP and QP is equal to half of MP. Therefore, QP = MQ = 2. The slope of MO is rise over run which is 6 / 4 or 3 / 2.

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2 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

2 years ago

The sum of the measures of the angles of all triangles is 180 degrees. If one angle of the triangle measures 45 degrees, and the

zmey [24]

Answer:

Step-by-step explanation:

2a+45=180

subtract 45 from both sides which equals 2a=135

divide both sides by 2 which would solve for a.

5 0

2 years ago

20% of the students were going to the movies this weekend. 15 students were going to the movies. How many students are there tot

Liono4ka [1.6K]

Answer: 75
15 multiplied by 5 (how many times it takes 20 to get to 100) gives us 75 :)

6 0

2 years ago

Read 2 more answers