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3 years ago

NEED ASAP!!! Find the area of the composite figure.

Mathematics

1 answer:

Paladinen [302]3 years ago

7 0

The area is 14 because the triangles area is 6 and the rectangles area is 8

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How do I solve 2q+10=7q

Lostsunrise [7]

10 is the stubstitution for 5 q, since 2 plus 5 equals 7. What is 10 divided by 5?

4 0

3 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

Guess how many pieces of candy corn. It's a three digit odd number less than 200. It is divisible by 7. The number in the ones p

Vera_Pavlovna [14]

Little late, but your answer would be 133 pieces of candy corn.

Best of luck.

4 0

3 years ago

Given f(x)=3/2x+5 what is f(12)

tigry1 [53]

Answer:

5 and 1/8

Step-by-step explanation:

5 0

3 years ago

Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how

noname [10]

Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.

6 0

2 years ago