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3 years ago

What is the measure of А 50" 50° B C [Not drawn to scale] 50° 80 100 130

Mathematics

1 answer:

Paladinen [302]3 years ago

7 0

Answer:

solution given :

<A=?

<B=50°

<C=50°

if it is a triangle:

<A+<B+<C=180°( sum of interior angle of a triangle is 180°)

<A=180-50-50

<A=80°

<A=80° is a required answer.

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You buy 3.18 pounds of apples, 1.25 pounds of pears, and 2.67 pounds of oranges. What is your total bill rounded to the nearest

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Answer:

318125267

Step-by-step explanation:

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3 years ago

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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.

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1 year ago

Hoodies were on sale for 20% off of the original price. Hyde bought a hoodie on sale that had an original price of $74.00. The s

Georgia [21]

20% off means u r paying 80%

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3 years ago

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V125BC [204]

Answer:

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Step-by-step explanation:

1/3 (twix)

1/3 (snicker)

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1/9 = .11

.11 = 11%

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3 years ago

10 Pts Multiplying fractions: 5 1 — x — = 6 2

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Multiply the numerators together. Multiply the denominators together. Then reduce if necessary.

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4 years ago

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