All categories

2 years ago

56 POINTS! Find the area of the following figure. Explain how you got your answer.

Mathematics

1 answer:

AleksAgata [21]2 years ago

3 0

Answer:

26.5 units²

Step-by-step explanation:

I am splitting the figure into a rectangle and two triangles to make this easier for me.

The rectangle is b•h so 5•4 = 20 units²

Area of triangle=1/2bh

The left triangle is $\frac{1}{2}$ (3•3) ---> $\frac{1}{2}$ (9) ---> 4.5 units²

The right triangle is $\frac{1}{2}$ (2•2) ---> $\frac{1}{2}$ (4) ---> 2 units²

Then add it all up: 20+4.5+2 = 26.5 units²

You might be interested in

Angles 4, 5, and 6 are in the ratio 2:5:3. Find the measure of each angle

garri49 [273]

Answer:

The angles 4, 5 and 6 are 36, 90 and 54 respectively.

Step-by-step explanation:

First, let's find the total number of parts:

2 + 5 + 3 = 10

The amount of degrees per part is 180 / 10 = 18.

Now, we multiply that factor to the ratio:

$2*18 : 5*18 : 3*18//36:90:54$

Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.

4 0

3 years ago

-4-(-8) divided by 4

Nataly_w [17]

Answer:

Step-by-step explanation:

-4 minus -8 is the same as 8 - 4 which is 4 and 4 divided by 4 is 1.

7 0

1 year ago

Read 2 more answers

Rupert drove home at an average rate of 58 miles per hour. find his rate in feet per second

leva [86]

5280 feet in 1 mile
3600 seconds in an hour

58(5280) / 3600 = 306240/3600 = 85.06 ft per sec or if u need it rounded, it is 85.1

6 0

3 years ago

The complex solution to a quadratic equation is x equals start fraction three plus or minus square root of negative 36 end squar

Naya [18.7K]

The square root of a -36 simplifies to "6i". So you have 3+/- [6i/6]. The 6's cancel each other out leaving 3+/-i. So the "a" is 3 and the "b" is 1

4 0

2 years ago

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

jeka94

by Quadratic formula , $x^2 + 20 = 2x$ , values of x are $x = 1 \pm (1)i\sqrt{19}}$ . None of mentioned options are correct according to question!

Step-by-step explanation:

Here we have , expression x2 + 20 = 2x or , $x^2 + 20 = 2x$ .

We know that Quadratic formula is :

$x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$

$x^2 + 20 = 2x$

⇒ $x^2-2x+20=0$

$a=1\\b=-2\\c=20$

Putting this value in equation $x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ :

⇒ $x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$

⇒ $x = \frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(20)}}{2(1)}$

⇒ $x = \frac{2 \pm \sqrt{4-80}}{2}$

⇒ $x = (\frac{2 \pm 2i\sqrt{19}}{2})$

⇒ $x = 1 \pm (1)i\sqrt{19}}$

Therefore , by Quadratic formula , $x^2 + 20 = 2x$ , values of x are $x = 1 \pm (1)i\sqrt{19}}$ . None of mentioned options are correct according to question!

7 0

2 years ago