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3 years ago

I WILL GIVE BRILLIANT

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

Answer:

12 quart ...................

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What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun

kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

= πr² × $\frac{\frac{5\pi }{6} }{2\pi }$

= π × 2.8² × $\frac{5}{12}$ ≈ 10.26 in²

7 0

3 years ago

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.

dexar [7]

$n;\ n+2;\ n+4-three\ consecutive\ even\ numbers\\\\90 \ \textless \ \dfrac{1}{2}(n+n+2+n+4) \ \textless \ 105\\\\90 \ \textless \ \dfrac{1}{2}(3n+6) \ \textless \ 105\ \ \ |multiply\ both\ sides\ by\ 2\\\\180 \ \textless \ 3n+6 \ \textless \ 210\ \ \ |subtract\ 6\ from\ both\ sides\\\\174 \ \textless \ 3n \ \textless \ 204\ \ \ |divide\ both\ sides\ by\ 3\\\\58 \ \textless \ n \ \textless \ 68\\\\Answer:\\60;\ 62;\ 64\ or\ 62;\ 64;\ 66;\ or\ 64;\ 66;\ 68\ or\ 66;\ 68;\ 70.$

5 0

3 years ago

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What is the answer to 5(6p+5)

AfilCa [17]

Answer:

30p + 25

Step-by-step explanation:

I hope this helps.

3 0

3 years ago

If slope =

telo118 [61]

Answer:

y=3x+5

Step-by-step explanation:

use y=mx+b format.

Hope I helped!

4 0

3 years ago

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If A2 = I, where I is the identity matrix, which matrix correctly represents matrix A?

natali 33 [55]

We know that $\boldsymbol{A^2}=\boldsymbol{A\times A}$

We also know that $\boldsymbol{I}=\begin{bmatrix} 1 &0 \\ 0&1 \end{bmatrix}$

Now, it has been given to us that $\boldsymbol{A^2}=\boldsymbol{I}$

Therefore, we will have to find the correct $\boldsymbol{A}$ from the given options and we find that when:

$\boldsymbol{A}=\begin{bmatrix} 3 &-2 \\ 4&-3 \end{bmatrix}$

then $\boldsymbol{A^2}=\boldsymbol{A\times A}=\begin{bmatrix} 3 &-2 \\ 4&-3 \end{bmatrix}\times \begin{bmatrix} 3 &-2 \\ 4&-3 \end{bmatrix}=\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix}$

Therefore, from the above given options, Option C is the correct option.

Therefore, $\boldsymbol{A}=\begin{bmatrix} 3 & -2\\ 4 & -3 \end{bmatrix}$ is the correct answer.

7 0

3 years ago