1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pepsi [2]
3 years ago
14

Jacob drew the following composite figure

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

<u>The area of the composite figure = 978 in²</u>

Step-by-step explanation:

The question is as shown in the attached figure.

And it is required the area of the composite figure

As shown the figure consists of :

  1. Rectangle with dimensions of 24 in and 30 in
  2. Two right triangle of base 12 in and height of 9 in
  3. A right triangle of base 15 in and height of 20 in.

so, The area of rectangle = 24 * 30 = 720 in²

The are of the 2 triangles = 2 * 0.5 * 12 * 9 = 108 in²

The area of the third triangle = 0.5 * 15 * 20 = 150 in²

<u>So, the total area = 720 + 108 + 150 = 978 in²</u>

<u />

<u>Note:</u> The area of the rectangle = width * length

Area of the right triangle = 0.5 * base * height

You might be interested in
Sunflower produce approximately 50 seeds per flower. If one ounce of sunflower seeds contain an average of 72 seeds, how many fl
ra1l [238]

Given :

Sunflower produce approximately 50 seeds per flower.

If one ounce of sunflower seeds contain an average of 72 seeds.

To Find :

How many flowers are needed to produce 2 pounds of seeds.

Solution :

1 pound = 16 ounces .

So , 2 pound = 32 ounces .

Number of seeds in 2 pounds of seeds, n = 32×72 = 2304 .

Number of flowers are :

N=\dfrac{2304}{50}=46.08

So , approximate number of flower required are 46.

Hence, this is the required solution.

5 0
4 years ago
PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION
Soloha48 [4]

To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially \frac{rise}{run}

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = \frac{rise}{run}

m = \frac{22}{1}

m = 22

We now have the first variable of the equation.

y = 22x + b

What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.

As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

y = 22x

If you'd like me to explain how I did anything, just ask!

- breezyツ

8 0
3 years ago
Read 2 more answers
Find three consecutive even integers such that 3 times the first is 26 less than twice the sum of the last two
Dimas [21]
Let's say our first integer is "a".

how to get the next consecutive EVEN integer?  well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a           a + 2           a+4

notice that, from any even or odd integer, if you hop twice either forwards or backwards, you'll land on another even or odd integer respectively.

2 + 2 is 4, or 8 + 2 is 10  some even ones

3 + 2 is 5, or 13 + 2 is 15, some odd ones

\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}&#10;\\\\\\&#10;3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14&#10;\\\\\\&#10;0=a-14\implies 14=a

what are the other two consecutive integers?  well, a + 2 and a + 4.
4 0
3 years ago
Two angles of a quadrilateral measure 130 and 10. The other two angles are in a ratio 2.9. What are the measures of those two a
andrey2020 [161]

Answer:

check: 50+160+130+20 = 360

50:160 = 5 : 16

Step-by-step explanation:et the smaller of the unknown angles be 5x and the larger of the two be 16x

so 130+20+5x+16x = 360

21x = 210

x = 10

so the two missing angles are 50° and 160°

check: 50+160+130+20 = 360

50:160 = 5 : 16

8 0
3 years ago
Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4
ipn [44]

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

8 0
3 years ago
Other questions:
  • Do the table and graph represent the same function?
    13·1 answer
  • I need help with this equation please
    5·1 answer
  • Which postulate or theorem proves that these two triangles are congruent,
    6·2 answers
  • What is vertex of the graph of the function below y=x^2-10x+21
    6·1 answer
  • For the functions f(x) = 2x + 2 and g(x) = 7x + 1, which composition produces the greatest output? a) Both compositions produce
    10·2 answers
  • Round 14494 to the nearest thousand feet
    8·1 answer
  • What equation can be used to determine x in the system of linear equations below ?
    11·1 answer
  • 50 POINTS pls answer the picture
    11·2 answers
  • Which number line correctly shows 4.5 – 2.5? A number line going from 0 to 4.5 in increments of 0.5. An arrow goes from 0 to 4.5
    5·2 answers
  • Need help answer plzzzz ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!