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Leni [432]
3 years ago
5

Consider the expression 4 5/7 + 3 1/2 write an equivalent expression that has numbers with like denominators. Enter your express

ion in the box provided
Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0
You can do 4 10/14 + 3 7/14
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What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

Thus volume =\frac{1}{3}\pi6^{2}*8

                     =301.44

4 0
3 years ago
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectang
snow_lady [41]

Answer:

Hey have you tried on your own to make sure you understand it?

Step-by-step explanation:

6 0
3 years ago
1.Find the area of a trapezium with parallel sides of
Nana76 [90]

Answer:

The area of the trapezium is 74.8\ cm^2

Step-by-step explanation:

Area of a trapezium:

\displaystyle A=\frac{b1+b2}{2}h

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

\displaystyle A=\frac{15+7}{2}\cdot 6.8

A=74.8\ cm^2

The area of the trapezium is 74.8\ cm^2

6 0
3 years ago
4x -5 = 2(2x +1)<br> I need help
Nostrana [21]

Answer:

No Solution

Step-by-step explanation:

4x-5=2\left(2x+1\right)

Expand:

4x-5=2* \:2x+2* \:1

4x-5=4x+2

Add 5 to both sides:

4x-5+5=4x+2+5

4x=4x+7

Subtract 4x from both sides:

4x-4x=4x+7-4x

0=7

No solution as this is false.

4 0
3 years ago
Read 2 more answers
How do you answer the picture below?
3241004551 [841]

Answer:

42cm²

Step-by-step explanation:

because if the perimeter of the rectangle is 28 then the length is 5, 5 - 11 = 6, the formula for finding the trapezium is to add the 2 parallel sides, half them, then times them with the length so your sum will look like this, 5+9=14, (i knew the other side was 9 as the length of AB is the same as the length of FC, which is the one of the parallel sides of the trapezium) then we do 14÷2=7, finally we times 7 by 6 which is 42cm²

3 0
3 years ago
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