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lakkis [162]
2 years ago
11

Divide and express your answer to lowest term

Mathematics
1 answer:
musickatia [10]2 years ago
8 0

Step-by-step explanation:

3/4:2/5=3/4×5/2=15/8

3/8 ÷ 2/12=3/8 ×12/2=36/16=9/4

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In △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP . Find the area of △ABC if the area of △BMP
matrenka [14]

Answer: Area of  ΔABC = 56m².

Explanation:

Since we have given that

point P∈ AB, such that AP:BP=1:3

Point M is the midpoint of segment CP.

Now, we have given that

Area of ΔBMP=21 m²

Since M is the mid-point of CP, so,

Area of ΔCMP= 21 m².

So, Area of ΔBCP = 21+21=42 m²

According to question,

\frac{3}{4}\times x= 42\\\\x=\frac{42}{3}=14\\\\\text{ Area of }\triangle APC=14m^2\\\\

So, area of ΔABC is given by

42+14=56m^2

Hence, area of  ΔABC =56m².

3 0
3 years ago
Read 2 more answers
Please find ‘?’ Please help me out
zheka24 [161]

Answer:

? = 16

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp side / adj

tan ? = 13 / 46

Taking the inverse tan of each side

tan ^ -1 ( tan ? ) = tan ^-1 ( 13/46)

? = 15.78075

To the nearest degree

? = 16

5 0
3 years ago
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder h
vivado [14]

Given:

A prism has a base area of 20\pi square units and a volume of 120\pi cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

V=\pi r^2h

V=Bh

Where, r is the radius, h is the height of the cylinder and B=\pi r^2 is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is 120\pi cubic units.

3 0
3 years ago
Ella had softball and dance practice for 4 weeks. She practiced softball 2 hours a week and dance 1 hour a week. Which operation
weqwewe [10]

4 multiplied by 2 by 1 because its her hours for the weeks no other way to calculate this problem

4 0
3 years ago
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HELP HELP !! & PlEASE SHOW WORK ! What would be the compound interest rate if Tom borrowed $6,000 at a 3% interest rate for
In-s [12.5K]

Answer:

Compound interest = $365.4

Step-by-step explanation:

Given:

Amount borrowed = $6,000

Rate of interest = 3%

Number of year =  year

Find:

Compound interest

Computation:

A = P[1+r]ⁿ

Amount after 2 year = 6,000[1 + 3%]²

Amount after 2 year = 6,000[1 + 0.03]²

Amount after 2 year = 6,000[1.03]²

Amount after 2 year = 6,000[1.0609]

Amount after 2 year = 6,365.4

Compound interest = Amount after 2 year - Amount borrowed

Compound interest = 6,365.4 - 6,000

Compound interest = $365.4

3 0
2 years ago
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