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frez [133]
3 years ago
14

When do two ratios form a proportion?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

A proportion is when two ratios are equal.

For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.

umka21 [38]3 years ago
5 0

when they are equal

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Sophie has 5 pieces of string that are 4 yards each. She uses 3 pieces that are each 3 feet long. How much string does Sophie ha
stich3 [128]

Alright, lets get started.

Sophie has 5 pieces of string that are 4 yards each.

1 yards = 3 feet,

So, 4 yards = 4 * 3 =12 feet

Total number of string she has = 5 piece

So, total length she has = 5*12 = 60 feet

It means she had 60 feet string in starting.

Now, She uses 3 pieces that are each 3 feet long, means

She uses = 3*3 = 9 feet

So, remaining string length will be = 60 - 9 = 51 feet

Means 51 feet string does Sophie have. : Answer

Hope it will help :)


5 0
3 years ago
Read 2 more answers
Find the smaller of 2 consecutive intergers, x, if the sum of the smaller and 6 times the larger is -29. Write an equation to de
Irina18 [472]

Answer:

x = -5 and x+1( consecutive integer) = -4

obviously x is smaller than the next integer

Step-by-step explanation:

Let the first integer be x

hence the consecutive integer is x +1

according to the give condition

x + 6(x + 1) = -29

x + 6x + 6 = -29

7x = -29 -6

7 x = -35

x = -35/7

x = -5

x + 1 = -5 + 1 = -4

GOOD LUCK FOR THE FUTURE! : )

8 0
2 years ago
In AWXY, X = 700 cm, w = 710 cm and Angle W= 249. Find all possible values of Angle X, to the nearest 10th of a degree.​
LekaFEV [45]

Answer:

56

Step-by-step explanation:

4 0
2 years ago
Please help me find the value of x the answer must be exact
jenyasd209 [6]

Answer:

x=11

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

leg=x\\hypotenuse=x\sqrt{2}

Therefore, the value of x is 11.

You can double-check using the sine ratio:

sineX=\frac{opposite}{hypotenuse}

Insert the values:

sin45=\frac{x}{11\sqrt{2} }

Insert the equation into a calculator:

x=11

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

6 0
3 years ago
The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i
Verdich [7]
The complete question in the attached figure

Part a) 
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b) 
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is 
100 cm³

5 0
3 years ago
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