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2 years ago

What is the area of this figure?

Mathematics

1 answer:

n200080 [17]2 years ago

6 0

Answer:

243 cm^2 + 108 cm^2 = 351 cm^2

Step-by-step explanation:

So, we have a rectangle and two triangles, we know all the sides or angles.

Rectangle: with 9 cm lenght 15cm + 12 cm = 27 cm

Formula: A=wl -> A=9*27 = 243 cm^2

Trianlge: A=ab/2

Angle 90°

Side A 12 cm

Side B 18 cm - 9 cm = 9 cm

A=ab/2=12·9/2=54 cm times 2 (for the opposite side) = 108 cm^2 = 351 cm^2

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What is the product 3x5(2x2+4x+1)

lesya692 [45]

Answer:

$6x^7+12x^6+3x^5$

Step-by-step explanation:

The given expression is:

$3x^5(2x^2+4x+1)$

We expand the parenthesis using the distributive property to obtain;

$3x^5(2x^2)+3x^5(4x)+3x^5(1)$

Recall that;

$a^m\imes a^n=a^{m+n}$

We apply this property and multiply out the constant terms to obtain;

$6x^7+12x^6+3x^5$

3 0

3 years ago

Quick algebra 1 question for 50 points!

snow_tiger [21]

Answer:

Yes.

Step-by-step explanation:

Yes, the given line can be used to make reasonable predictions of the number of cheese pizzas that will be sold, since the scatter points clearly show a trend.

As time goes on, the number of pizzas sold is getting bigger, and the trend is what created the line.

The data was taken over 8 consecutive weeks, so we can assume that it can be used in our prediction.

Since the trend has been pretty consistent over periods of time, we can expect it to continue in the upcoming weeks.

3 0

2 years ago

The students in a statistics class record how many movies they have watched in the previous month. The data are listed below. 1,

ElenaW [278]

Answer:

A Histogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval "

Here we take a width of 2 units on the bar graph i.e. we consider the interval 0-2, 2-4, 4-6 and so on.

Now we arrange our table in these intervals with the help of the given quantities.

Step-by-step explanation:

3 0

3 years ago

Tickets for a dance recital cost $15 for adults and $7 for children. The dance company sold 253 tickets, and the total receipts

elixir [45]

Answer:

Adult tickets =125

Child tickets = 128

Step-by-step explanation:

Let the number of adult and children tickets sold be x and y respectively

So that

x+y= 253--------1

Since total sales/receipt is $2,771

And given that tickets for a dance recital cost $15 for adults and $7 for children hence

15x+7y= 2771-------2

Solving equation 1 and 2 simultaneously we have

x+y= 253---------------1

15x+7y= 2771----------2

Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3

15x+15y=3795---------3

-{15x+7y= 2771----------2

0+8y=1024

8y= 1024

y= 1024/8

y= 128 tickets

So solve for x let us put y= 128 in equation 1

x+ 128=253

x=253-128

x= 125 tickets

8 0

3 years ago

Lucas' mom is eight years older than twice his age. The sum of their ages is 77. How old are Lucas and his mom?

Rudiy27

Answer:

Age of Lucas = 23 years

Age of Lucas Mom = 54 Years

Step-by-step explanation:

In this question we have to find the age of Lucas and his Mom

Let the age of Lucas be x

According to given condition

Twice of his age 2 * x =2x

Eight years older means age + 8x

Age of his mom = Twice of his age + 8

= 2x + 8 .................(ii)

now according to second condition

Age of Lucas + Age of his mom = 77

Put the values in the condition above

x + (2x + 8) = 77

x + 2x + 8 =77

3x + 8 = 77

subtracting 8 from both sides

3x + 8 - 8 = 77 -8

3x = 69

Dividing both sides by 3

x = 69 / 3

x = 23 years

Age of Lucas = 23 years

Now from equation (i)

Age of Lucas Mom = 2(x) + 8

putting in the value we get

Age of Lucas Mom = 2 ( 23) + 8

=46 + 8

=54 Years

Age of Lucas Mom = 54 Years

3 0

3 years ago