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4 years ago

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Figure WXYZ is a rectangle with a semicircle added to its base. The length of the rectangle is 16 inches and the width is 7 inch

es. What is the perimeter of the figure? Use 3.14 to approximate pi.

1 answer:

NeTakaya4 years ago

8 0

The length of the rectangle is 16 inches and the width is 7 inches. What is the perimeter of the figure? Use 3.14 to approximate pi.

Perimeter of the rectangle = 2L + 2W

C =2 π r
C = 2 * 3.14 * L/2

Perimeter of the figure = L + 2W + C/2

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Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.This mornin

Georgia [21]

Answer:

$\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}$

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

$\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}$

Into an augmented matrix:

$\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}$

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

$\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}$

8 0

1 year ago

What are the roots of the function f(x) = (log(3x ) − 2 log(3)) · (x 2 − 1) with x ∈ R?

slavikrds [6]

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Given:

▪ $\sf{f(x) = ( log(3x) - 2log(3))( {x}^{2} - 1) }$ $\ \sf{x \in R}$

Solve:

$\longrightarrow \sf{f(x) = (log(3x) - 2log(3))( {x}^{2} - 1) = 0}$

$\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0 \: \: or \: {x}^{2} - 1 = 0 }$

$\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0}$

$\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0}$

$\small\longrightarrow \sf{ log(3x) - log( {3}^{2} ) = 0}$

$\small\longrightarrow \sf{log_{10}( \dfrac{3x}{9} ) = 0}$

$\small\sf{ \Longrightarrow \dfrac{3x}{9} = {10}^{0} }$

$\small\longrightarrow \sf{ \dfrac{x}{3} = 1}$

$\small \sf{x= \underline{3}}$

Next $\downarrow$

$\small\longrightarrow \sf{{x}^{2} - 1 = 0}$

$\small\longrightarrow \sf{ {x}^{2} = 1}$

$\small\longrightarrow \sf{x = \pm \sqrt{1} }$

$\small\sf{x= (\underline{1},-1)}$

$\small\longrightarrow \sf{ log(3x) = log(3( - 1)) \cancel{ \in}R}$

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

$\small\bm{The \: \: roots \: \: of \: \: f(x) \: are \: 1 \: and \: 3.}$

4 0

2 years ago

CAN SOMEONE HELP ME WITH THESE TWO? I NEED AN EXPLANATION AS WELL!! THANK YOU:))

galina1969 [7]

Answer:

A and A

Step-by-step explanation:

8 0

3 years ago

What is the MAD of 15, 60, 90, 90, 100, 100, 100

anastassius [24]

Answer:

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Step-by-step explanation:

First find the mean of all the numbers

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90- 10.7

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100- 20.7

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then find the average of the distances

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3 years ago

Read 2 more answers

What is 10 times as many as 100

vampirchik [111]

$10 \times 10 =100$

7 0

4 years ago