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Dvinal [7]
3 years ago
10

Ruby uses 1/4 yard of ribbon to make 2 bows.Which expression shows the length of ribbon in each bow?

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0
What you can do in this case is a rule of three to determine the length of each bow.
 We have then:
 1/4 ---> 2
 x ------> 1
 Clearing x we have:
 x = (1/2) * (1/4)
 x = 1/8
 Answer:
 the length of ribbon in each bow is
 x = 1/8
 Equivalently:
 x = (1/4) / 2
 Option 3
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Find the area of the shaded portion in the equilateral triangle with sides 6.
VashaNatasha [74]
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h

We can find the height with the Pythagorean theorem by splitting the triangle in half. 
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27

Then we can find the area:
A=1/2*6*√27
A=3√27   or   =9√3   or 15.59

Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.

Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71

So three of these regions would have an area of 14.14

We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45

Hope this helps!


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3 0
3 years ago
Does 3 work as a solution to the following inequality? 2n &gt; 6
Ksju [112]

Answer:

No.

Step-by-step explanation:

If n=3 the only thing you get is 6, which is not more than 6.

5 0
2 years ago
a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the t
Solnce55 [7]

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

4 0
3 years ago
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Seven less than the product of 24 and Jose’s savings
Liono4ka [1.6K]

Answer:

24j -7

Step-by-step explanation:

Given

Savings \to j

Required

Express 7 less than 24 * j

First, we have:

24 * j = 24j

7 less is then expressed as:

24j -7

6 0
3 years ago
Work out the number of boys and girls in each class below.
Brums [2.3K]

Answer:

Work out the number of boys and girls in each class below.

In class 8T, there are 9 boys.

The ratio of boys to girls is 1:2

Number of boys Number of girls = it's 0

8 0
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