Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?

2. Ken combined a triangle and a trapezoid to

jarptica [38.1K]

Answer:

Step-by-step explanation:

area of a triangle = 12 in²

area of a trapezoid = 24 in²

just combine the two shape (see image)

then add the area.

total area = 12 + 24

= 36 in²

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Clarge%5Cbegin%7Bbmatrix%7D%20%5Cbegin%7Barray%7D%20%7B%20l%20l%20%7D%20%7B%202%20%7D%20%

SVETLANKA909090 [29]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}$

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}$

In matrix multiplication, the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix.

$\left(\begin{matrix}2&3\\5&4\end{matrix}\right)\left(\begin{matrix}2&0&3\\-1&1&5\end{matrix}\right)$

Multiply each element of the 1st row of the 1st matrix by the corresponding element of the 1st column of the 2nd matrix. Then add these products to obtain the element in the 1st row, 1st column of the product matrix.

$\left(\begin{matrix}2\times 2+3\left(-1\right)&&\\&&\end{matrix}\right)$

The remaining elements of the product matrix are found in the same way.

$\left(\begin{matrix}2\times 2+3\left(-1\right)&3&2\times 3+3\times 5\\5\times 2+4\left(-1\right)&4&5\times 3+4\times 5\end{matrix}\right)$

Simplify each element by multiplying the individual terms.

$\left(\begin{matrix}4-3&3&6+15\\10-4&4&15+20\end{matrix}\right)$

Now, sum each element of the matrix.

$\large\boxed{\boxed{\left(\begin{matrix}1&3&21\\6&4&35\end{matrix}\right) }}$

7 0

3 years ago

Doris uses 6 square pieces of fabric to make one scarf. Each side of a square piece of fabric is one third yard in length. Doris

brilliants [131]

Answer:

5 large pieces of fabric.

Step-by-step explanation:

Length of each side of a square piece of fabric = $\frac{1}{3}$ yard

Area of a Square = Length X Length

Area of one square piece of fabric = $\frac{1}{3}$ X $\frac{1}{3}$ = $\frac{1}{9}$ square yard.

To make one scarf, Doris uses 6 square pieces.

Area of one scarf = $6 X \frac{1}{9}= \frac{6}{9}=\frac{2}{3}$ square yard

Each large pieces of fabric is one-third yard long and 2 yards wide.

This is clearly a rectangle,

Area of a Rectangle = Length X Width

Area of each large piece of fabric= $\frac{1}{3}X 2=\frac{2}{3}$ square yard.

Since the Area of one scarf is equal to the area of each large piece of fabric, in order to make 5 scarves, Doris would need 5 large pieces of fabric.

7 0

3 years ago

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This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more

fgiga [73]

1278 explains I want answers

5 0

3 years ago

Read 2 more answers

3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4

Andreyy89

Answer:

Thus, the value of expression is .

Step-by-step explanation:

Given : 3 + (2 + 8)power 2 ÷ 4 × 1 over 2 to the power of 4

Mathematically written as

We apply BODMAS,

Where ,

B stands for brackets

O stands for order

D stands for division

M stands for multiplication

A stand for addition

S stands for subtraction.

Consider the given expression,

Using BODMAS rule, solving for brackets first,

Thus, the value of expression is

7 0

3 years ago