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3 years ago

Find the area of each figure. use 3.14 for pi

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

Answer:

1) 39.5 ft^2

1) 139.15m^2

Step-by-step explanation:

2) area of a rectangle formula : LW

Area of a triangle:(bh)/2

Area of a semi circle:( Pi*r^2)/2

Area of a square: S^2

Area of figure one:

Lw+(b1*h1)/2+(b2*h2)/2

8*4+(2*3)/2+(3*3)/2

32+3+4.5=39.5

Area of fig 2:

S^2+(pi*r^2)/2

10^2+(3.14*5^2)/2

100+78.5/2

100+39.25=139.25

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One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak

Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

$\frac{1}{15} x + \frac{1}{30} x = 1$

This is representative of the situation. The fractions each represent how much each person does in a minute, and when they're multiplied by x, that's how much of the project they get done based off of the minutes they work together on the job. Add the two together, and you get how much of the project is finished in x amount of time. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

$\frac{1}{15} x + \frac{1}{30} x = 1$

$\frac{2}{30} x + \frac{1}{30} x = 1$

$\frac{3}{30}x = 1$

$\frac{1}{10}x = 1$

$x = 10$

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

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3 years ago

You are ordering a pizza. You have a choice of three toppings: mushrooms, pepperoni, and peppers. How many different pizzas can

astra-53 [7]

U can do exactly 6 different pizzas

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3 years ago

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The table represents a liner function. What is the slope of the function?

Liono4ka [1.6K]

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

$\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

= $\frac{10 - 7}{2 - 1}$

= $\frac{3}{1}$

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

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3 years ago

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(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. wr

sergij07 [2.7K]

$f(t)=\begin{cases}0&\text{for }t$

Recall that

$u(t)=\begin{cases}0&\text{for }t$

Take it one piece at a time. For $t\ge0$ , we can scale $u(t)$ by -5:

$-5u(t)=\begin{cases}0&\text{for }t$

If we shift the argument by 1 and scale by -5, we have

$-5u(t-1)=\begin{cases}0&\text{for }t$

so if we subtract this from $-5u(t)$ , we'll end up with

$-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t$

For the next piece, we can add another scaled and shifted step like

$-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

so that

$-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

For the last piece, we add one more term:

$6u(t-7)=\begin{cases}0&\text{for }t$

and so putting everything together, we get $f(t)$ :

$f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)$
$f(t)\equiv-5u(t)-u(t-1)+12u(t-7)$

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3 years ago

Haruka hiked several kilometers in the morning. She only hiked 6 kilometer in the afternoon, which was 25% less she had hiked in

Marrrta [24]

7.5 kilometers is what she hiked

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2 years ago