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Answer:

The bicycle traveled 77.9 m

Step-by-step explanation:

Circumference of a Circle

Given a circle of radius r, the circumference or perimeter is calculated as follows:

[tex]C =2\pi r[/tex]

The radius of the bicycle wheel has a radius of r=62 cm. Converting to meters r=62/100=0.62 m.

Calculate the circumference:

[tex]C =2\pi \ 0.62[/tex]

[tex]C=3.8956\ m[/tex]

Given the wheel makes 80 complete revolutions, the total distance covered by the bicycle is:

[tex]D=20*3.8956\ m[/tex]

D = 77.9 m

The bicycle traveled 77.9 m

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

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Answer:

B but sorry 4 the time tho

The measure of the trigonometric relation cos 60° = 1/2

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = cos 60°

And , cos θ = adjacent / hypotenuse

So , cos 60° = 1/2

Hence , the measure of cos 60° = 1/2

To learn more about trigonometric relations click :

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Answer:

=140/7-13/7

hope it helps.

Answer:

[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]

[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]

Step-by-step explanation:

Important Information:

Area of a circle= [tex]\pi r^2[/tex]

Area of a triangle= [tex]\frac{base*height}{2}[/tex]

Diameter of a cirlce= [tex]2*radius[/tex]

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

[tex]3*2=6[/tex]

2) Multiply 6 by 9.

[tex]6*9=54 inches^2[/tex]

3) Divide 54 by 2.

[tex]54/2=27inches^2[/tex]

4) Multiply pi by 3 squared.

[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]

5) Divide 28.27 by 2.

[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]

6) Add 27 to 14.14.

[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]

Answer:

[tex]120 \frac{4}{5}[/tex] or 120.8 miles per hour

Step-by-step explanation:

We first convert the distance into an improper fraction to facilitate calculation.

[tex]90 \frac{3}{5} = \frac{90\times 5 + 3}{5} = \frac{453}{5}[/tex]

Average speed

= distance/time

= [tex]\frac{\frac{453}{5}}{\frac{3}{4}}[/tex]miles per hour

= [tex]\frac{453}{5} \times \frac{4}{3}[/tex] miles per hour

= [tex]\frac{604}{5}[/tex] miles per hour

= [tex]120 \frac{4}{5}[/tex] miles per hour or 120.8 miles per hour

Answer:

6) 17/25

7)3/50

8)70%

9)48%

10)18/25

11)3/8

12)22.5%

13)87.5%

14)

a)1/2=50%

b)1/5=20%

c)3/4=75

d)2/5=40%

Answer:

I want to say its A

Step-by-step explanation:

It makes the most sense to me, and i hope its right, have a good day :)

Answer:

Amount off: 19% off

Sale price: $97.4925

Total cost: $103.34205

Step-by-step explanation:

Please mark as Brainliest!

Answer:

307.88

Step-by-step explanation:

Answer:2/4

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

Answer:

y<-1/3x+3

Step-by-step explanation:

The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).

The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).

To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))

(0)>-1/3(0)+3     (0)<-1/3(0)+3    

0>0+3               (0)<+3    

0>3                    0<3

The one to the right, 0<3, is true so the sign is a less than sign.

Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.

Answer:

it can't form isosceles triangle cause any two sides of the triangle are not equal ,it can't form equalateral triangle cause 3 sides of the triangle are not equal and neither right angle triangle so triangle can't be formed

Answer:

Step-by-step explanation:

Sides of the triangle:

Perimeter is the sum of side lengths:

Answer:

answer is 11: 37 am

I am sure ;-))

Answer:

what's the grade level?

Step-by-step explanation:

Answer:

122,850 sq. ft.

Step-by-step explanation:

The area of a circle is A = πr²; since these are semi-circles, the area would be given by A = 1/2πr².  Using 1/2x in place of r, we have

A = 1/2π(1/2x)² = 1/2π(1/4x²) = 1/8πx²

Using 22/7 for π, we have

A = 1/8(22/7)x² = 22/56x²

Since there are 2 semi-circles, this gives us

2(22/56x²) = 44/56x²

Simplifying this, we have

A = 22/28x² = 11/14x²

This gives us the expression

2x²+11/14x² for our expression for the area.

(Without using 22/7 for pi, we have

2x²+2(1/8πx²) = 2x²+2/8πx² = 2x²+1/4πx²

Using 210 for x and 22/7 for π, we have

A = 2(210²)+1/4(22/7)(210²) = 88200+34650= 122,850

Answer:

17 5/12 is the final answer  

Step-by-step explanation:

First change the fractions so they have the same denominator so that would make 7 2/3 ---- 7 8/12 and 9 3/4 would become 9 9/12 then you add to get 16 17/12 which is an improper fraction so change that to 17 5/12.

Answer:

the answer is C __________________________________

Answer:

uiiu

Step-by-step explanation:

Answer:

56cm2

Step-by-step explanation:

1÷3×4×6×7

=56cm2

Answer:

a. Are B and C independent?    NO

b. Are A and C mutually exclusive?   NO

c. Are A and B independent?    YES

d. Are A and B mutually exclusive?  NO

Step-by-step explanation:

Given the data in the question;

P(A|B) = 0.26 P(A)   [ A and B are independent ]

P(B|C) = 0          [ B and C are mutually exclusive ]

P(C/A) = 0.26 ≠ P(C)

hence, [A and C are neither independent nor mutually Exclusive]

Therefore;

a. Are B and C independent?    NO

b. Are A and C mutually exclusive?   NO

c. Are A and B independent?    YES

d. Are A and B mutually exclusive?  NO

Answer:

Jupiter, Saturn, Uranus, and Neptune

Step-by-step explanation:

yes

Answer:

J,S,U,N

Step-by-step explanation:

Jupiter stern Uranus and Neptune

Answer: 50° and 40°

Step-by-step explanation:

Complementary angles add up to 90°

Smaller angle - x

Larger angle - 10 + x

10 + x + x = 90

10 + 2x = 90

Subtract 10 from both sides

2x = 80

Divide both sides by 2

x = 40

Larger angle - 10 + x

10 + 40 = 50

The measure of the smaller angle is 40° and the measure of the larger angle is 50°

Hope I helped!

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]\frac{(6x + 12)(x - 5)}{(x-5)(x+2)}=\frac{(6*x +6*2)(x- 5)}{(x-5)(x+2)}\\\\=\frac{6(x+2)(x-5)}{(x-5)(x+2)}[/tex]

= 6

Answer: the volcano began to erupt and emit dark clouds of ash into the sky

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!