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frutty [35]
2 years ago
13

Could someone please helppp

Mathematics
1 answer:
MissTica2 years ago
7 0

Answer:

1. 1/2

2. 3/4

3. 1/6

4. 1/4

5. 7/4

6. 3/2

7. 5/1

8. 2/7

9. 1/4

Step-by-step explanation:

A ratio compares values.

So if there are 3 oranges and 12 apples, we can say that there is a ratio of 3 : 12 meaning there are 3 oranges for every 12 apples.

Ratios can be written in different ways, but they mean the same thing:

  • Using the ":" to separate the values:                     3 : 12
  • Or using the word "to" to separate the values:   3 to 12
  • or as a fraction:                                                          \frac{3}{12}

A ratio can also be scaled up or scaled down (as long as we do the same thing to both values):

  • 3 : 12  is the same as 6 : 24  (multiplied both values by 2)
  • 3 : 12  is the same as 1 : 4  (divided both values by 3)

1.  2 to 4  = 2 : 4 = 2/4

We can reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 2:  2/4 = 1/2

2. 15/20

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 5:

15/20 = 3/4

3. 6 : 18 = 6/18

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:

6/18 = 1/6

4. 3 to 12 = 3 : 12 = 3/12

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 3:

3/12 = 1/4

5. 7 : 4 = 7/4

This fraction cannot be reduced any further as the numerator is a prime number.  Prime numbers are whole number greater than 1 that cannot be made by multiplying other whole numbers.

6. 18/12

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:

18/12 = 3/2

7. 35 : 7 = 35/7

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 7:

35/7 = 5/1  

(5/1 = 5 however the question is asking you to write the ratio in the lowest fraction, so the lowest fraction is 5/1)

8. 8/28

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 4:

8/28 = 2/7

9. 24 : 96 = 24/96

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 24:

24/96 = 1/4

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What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
dybincka [34]

Answer:

<h2>            y = 13x - 80  </h2>

{Or, if you mean slope of 1/3:  y = ¹/₃x - 4 }

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = 13

(6, -2)    ⇒   x₀ = 6,  y₀ = -2

The point-slope form of the equation:

y + 2 = 13(x - 6)

So:

y + 2 = 13x - 78        {subtract 2 from both sides}

y = 13x - 80            ←  the slope-intercept form of the equation

{Or, if you mean slope of ¹/₃:  m = ¹/₃

The point-slope form of the equation: y + 2 = ¹/₃(x - 6)

y + 2 = ¹/₃x - 2         {subtract 2 from both sides}

y = ¹/₃x - 4             ←  the slope-intercept form of the equation}

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PLEASE GUYS CAN SOMEONE HELP ME WITH THESE, POINTS TO THE KIND AND SMART PERSON TO ANSWER THESE SORT OF TEDIOUS QUESTIONS HELP A
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Step-by-step explanation:

1.

a. true

b. false (the arc angles are relative to the center of the circle)

c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)

d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)

2.

EGS is an isoceles triangle (that means both legs are equally long).

remember the extended Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

c being the side opposite of the angle C.

let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have

3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =

= 2a²(1 - cos(124))

2a² = 3.8²/(1 - cos(124))

a² = 3.8²/(2(1 - cos(124)))

a = GS = sqrt(3.8²/(2(1 - cos(124)))) =

= 2.151883096... ≈ 2.2 cm

3.

circumference

16pi = 2pi×r

r = 8

area = pi×r² = pi×8² = 64pi

yes, the statement is true.

4.

a half-circle has 180°.

the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.

the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.

5.

diameter = 50 ft.

so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.

the length of a chord is

c = 2×sqrt(r² - d²)

with r being the radius, d being the distance of the chord from the center.

40 = 2×sqrt(25² - d²)

20 = sqrt(625 - d²)

400 = 625 - d²

-225 = -d²

225 = d²

d = 15 cm

so, the distance of the chord from the center is 15 cm.

6.

the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.

and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.

7.

they are equally long.

as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.

since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.

8.

the angle NPE is half of the angle NAE (= the arc angle NE).

the arc angle NE = 63×2 = 126°

the angle PET is half of the angle PAT (= the arc angle PT).

the arc angle PT = 19×2 = 38°

the arcs NP and ET cover the rest of the whole circle circumference (360°).

so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°

but arc angles NP and ET must be equal (as per the problem definition).

therefore, 2 equal arc angles = 196°

1 arc angle = NP = 196/2 = 98°

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Answer:

There are <u>72 strawberries</u> in George's bag.

Step-by-step explanation:

Given:

Jasmine filled her bag with 12 strawberries. George filled his bag with 6 times as many strawberries as jasmine.

Now, to find the number of strawberries are in George's bag.

Number of strawberries in Jasmine bag = 12.

George filled his bag with 6 times as many strawberries as jasmine.

So, number of strawberries of George's bag is:

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