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3 years ago

6

Using the proportion you found in Question 3, write an equation for the length of arc EF in terms of the radii of AB and AC and

the length of arc CD.

1 answer:

Lubov Fominskaja [6]3 years ago

4 0

Answer:

Step-by-step explanation:

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Suppose the tree diagram below represents all the students in a high school

Lunna [17]

Answer:

Ok to find the probity we add the amount of boys and the amount of girls together to get 500 and out of these 100 are left handed so 1/5 also know as 20%

Hope This Helps!!!

8 0

3 years ago

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

marissa [1.9K]

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = $\frac{\pi}{2}$ square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

$A = \frac{1}{2} r^2 \theta$

Where, A = area

r = radius = 3

$\theta = \frac{1}{9}\pi$

Substituting values in the formula, we have:

$A = \frac{1}{2}*3^2* \frac{1}{9}\pi$

$A = \frac{1}{2}*9* \frac{1}{9}\pi$

$A = 4.5 * \frac{1}{9}\pi$

$A = \frac{\pi}{2}$

The area of the sector = $\frac{\pi}{2}$ square units

8 0

3 years ago

Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6

Arisa [49]

Since multiplication is commutative, we can rearrange the problem:
$(1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)$
Using the properties of exponents, we have:
$(1.12*6.06)(10^10)
\\=6.7872*10^10$

Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:
$(2*10^1)(3*10^1)
\\=(2*3)(10^1*10^1)
\\=6*10^2$

$(2.775*10^-^4)(4.775*10^4)
\\=(2.775*4.775)(10^-^4*10^4)
\\=(2.775*4.775)(10^0)
\\=(2.775*4.775)(1)
\\=2.775*4.775=13.250625=1.3250625*10^1$

$5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3$

6 0

3 years ago

Read 2 more answers

lozanna [386]

Multiply dollars / unit * units. It is actually a useful thing to know. Many thing are done using the tools this question requires.

$\dfrac{0.58 dollars}{unit} * 532 units$

Steve takes home 308.56 dollars. The answer is B.

5 0

3 years ago

An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating are

Sphinxa [80]

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area... We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

3 0

4 years ago