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
OlgaM077 [116]
2 years ago
12

Find the area of a figure

Mathematics
1 answer:
motikmotik2 years ago
8 0

Answer:

4.62 sq ft

Step-by-step explanation:

Area of rectangle = 2.5 x 1 = 2.5

To get area of triangle we must use the altitude theorem to find the height:

let 'x' = altitude (or height)

x/1.5 = 2/x

cross-multiply to get:

x² = 3

x = \sqrt{3}

Area of triangle = 1/2(2.5)(\sqrt{3})

= 1.25\sqrt{3} which is approx 2.12

Total area = 2.5 + 2.12 = 4.62

You might be interested in
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
2 years ago
What product is positive ?​
s344n2d4d5 [400]
<h3>Answer: Choice D</h3>

=======================================================

Explanation:

The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.

The shortest way is to simply count how many negative signs each expression has.

The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.

For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.

Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.

Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.

5 0
3 years ago
What is 10 percent of 80
Papessa [141]
To find 10per cent just divide by 10, the answer is 8
3 0
3 years ago
Read 2 more answers
Find the approximate value of 191−−−√ to the nearest tenth. What 2 numbers does it fall between when placed on a number line? Qu
PolarNik [594]

Answer:

13.5-14

Step-by-step explanation:

it is 13.8

8 0
2 years ago
Expand the expression using the distributive property: 6(4x + 5y + 2)
Oksanka [162]

Answer:

24 x + 30 y + 12

Step-by-step explanation:

this is simplified

5 0
3 years ago
Other questions:
  • (04.04)Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110
    5·1 answer
  • Independence probability question, please help
    9·1 answer
  • Given a sphere with a radius of 5 cm, find its volume to the nearest whole number.
    14·2 answers
  • Which of the following is a key property of the reciprocal parent function?
    10·2 answers
  • One angle measures 41 degrees. What is it’s complement
    14·1 answer
  • Team tool bella canoed 15 3/4 miles in 5/4 hours. What was their average rate of speed in mph ​
    13·1 answer
  • Let a triangle have sides of 137 in, 127 in,
    14·1 answer
  • 7 friends share 840g of chocolate equally between them.
    8·2 answers
  • Give the appropriate theorem or postulate that can
    7·1 answer
  • Which is larger? a or -a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!