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2 years ago

Please help me with this

Mathematics

1 answer:

pantera1 [17]2 years ago

7 0

Answer:

8 3/4
2, 3
4 1/2, 11 1/4
9 3/4, 16 1/4
Y/B = 2/3

Step-by-step explanation:

The first line is simply the sum of the two given numbers.

3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

Y = 2; B = 3

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

Y = 2(2 1/4) = 4 1/2

total = 5(2 1/4) = 11 1/4

The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

B = 3(3 1/4) = 9 3/4

total = 5(3 1/4) = 16 1/4

_____

The equation is the one we used to find the values on the second line:

Y/B = 2/3

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The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the

fredd [130]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

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Hence the dimension of the smaller triangle is 5cm by 1.95cm

7 0

3 years ago

If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .

Dafna1 [17]

The value of z varies jointly with w and y.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

let k be the constant of proportion

When a quantity varies directly with others, then we have a relation, y = kx

Given relation is z = kxy —-- 1

Also x varies directly with w i.e. x = k'w, where k' is constant of variation for x and w

Using in equation 1, we have,

z = k(k'w)y

z = kk'wy

z = Kwy, where K is constant of variation i.e. K = kk'

It shows that z varies directly with w and y.

Hence, z varies jointly with w and y.

To learn more about the constant of proportion, visit the link:

brainly.com/question/24868934

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1 year ago

If CE bisects ZBCD and if m ZBCE = 3x - 6

horrorfan [7]

Answer:

m∠BCD = 90°

∠BCD is a right angle

Step-by-step explanation:

<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>

∵ Ray CE bisects ∠BCD

→ Means divide it into two angles BCE and ECD which equal in measures

∴ m∠BCE = m∠ECD = $\frac{1}{2}$ m∠BCD

∵ m∠BCE = 3x - 6

∵ m∠ECD = 2x + 11

→ Equate them to find x

∴ 3x - 6 = 2x + 11

→ Add 6 to both sides

∵ 3x - 6 + 6 = 2x + 11 + 6

∴ 3x = 2x + 17

→ Subtract 2x from both sides

∵ 3x - 2x = 2x - 2x + 17

∴ x = 17

∵ m∠BCE = $\frac{1}{2}$ m∠BCD

→ Substitute x in the measure of ∠BCE to find it, then use it to

find m∠BCD

∵ m∠BCE = 3(17) - 6 = 51 - 6

∴ m∠BCE = 45°

∵ 45 = $\frac{1}{2}$ m∠BCD

→ Multiply both sides by 2

∴ 90 = m∠BCD

∴ m∠BCD = 90°

→ The measure of the acute angle is less than 90°, the measure of

the obtuse angle is greater than 90°, and the measure of the

right angle is 90°

∴ ∠BCD is a right angle

6 0

3 years ago