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iVinArrow [24]
3 years ago
15

Find the area of the following shape. You must show all work to receive credit A (-4, 0), B(0, 4), C(2, 2), D(1,0)

Mathematics
1 answer:
natulia [17]3 years ago
7 0

9514 1404 393

Answer:

  13 square units

Step-by-step explanation:

See the attached figure.

The horizontal dashed line divides the figure into two pieces:

  • a triangle 4 wide and 2 high
  • a trapezoid 2 high with bases 5 and 4

The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.

  A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units

  A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units

The area of the shape is ...

  (4 +9) square units = 13 square units

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How do I round 47.999 to the nearest hundredth?
OlgaM077 [116]

Answer:

48

Step-by-step explanation:

47.999

The number in the thousands place is above 5, so add 1 to the digit in the hundreds places

47.90 + 0.09+0.01

47.9+0.1

48

8 0
3 years ago
Read 2 more answers
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Musya8 [376]

Answer:

true

Step-by-step explanation:

because CD divided AB into equal halves, so they are of course perpendicular.

3 0
3 years ago
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Find the degree of the polynomial: a^3+3a^2−5a
emmainna [20.7K]

Answer:

The degree of the polynomial is 3

Step-by-step explanation:

Given:

a^3+3a^2-5a

To Find:

The degree of the polynomial= ?

Solution:

The degree of the polynomial   is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial

Here in the given polynomial

a^3+3a^2- 5a

The terms are

a^3

3a^2

5a

The term  a^3 has  the largest exponent of  3

Note:  The degree of the polynomial does not depend  on coefficients of the terms

3 0
3 years ago
F - 3/4=5/6. Please answer soon thanks
ad-work [718]
F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12
5 0
3 years ago
Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali gan
vagabundo [1.1K]

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

<em>x</em> = Amin's score in math

<em>y</em> = Azman's score in math

<em>z</em> = Aziz's score in math.

The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.

That is:

\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219

Now it is provided that:

y=x+35...(i)\\z=2x...(ii)

Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:

x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46

Thus, the Amin's score in math was 46.

6 0
3 years ago
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