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iren [92.7K]
2 years ago
12

What is the area of the trapezoid below?

Mathematics
2 answers:
wlad13 [49]2 years ago
5 0

Answer:

Step-by-step explanation:

vitfil [10]2 years ago
5 0

Answer:

The answer is 34.5cm2. (don't blame meh if wrong)

Step-by-step explanation:

Step 1: Find the area of the square; 4.6 x 3.2 = 14.72

Step 2: Find the bottom length to find the area of the triangle; 7.5 - 3.2 = 4.3

Step 3: Find the area of the triangle; 4.3 x 4.6 = 19.78

Step 4: Add the area of the square to the area of the triangle; 14.72 + 19.78 = 34.5

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Express M=cos3A + cos A and N = sin3A + sin A as a product form​
elena-14-01-66 [18.8K]

Answer:

2cosAcos2A, 4sinAcos^2A

Step-by-step explanation:

cos3A+cosA

2cos((3A+A)/2)cos((3A-A)/2)

2cos(4A/2)cos(2A/2)

2cosAcos2A

sin3A+sinA

2sin((3A+A)/2)cos((3A-A)/2)

2sin(4A/2)cos(2A/2)

2sin2AcosA

4sinAcos^2A

3 0
2 years ago
F(x) = x2 + 2x - 2<br> Show graph
Alexandra [31]

Answer:

Step-by-step explanation:

f(x) = x2 + 2x - 2  should be rewritten using " ^ " to indicate exponentiation:

f(x) = x^2 + 2x - 2.

We find a couple of key points and use the fact that this parabola is symmetric about the line

          -2

x = ----------- = -1.  When x = -1, y = f(-1) = (-1)^2 + 2(-1) - 2, or 1 - 2 -2, or -3.

        2(1)

Thus the vertex is at (-1, -3).  The y-intercept is found by letting x = 0:  y = -2.  The axis of symmetry is x = -1.

Graph x = -1 and then reflect this y-intercept (0, -2) about the line x = -1, obtaining (-2, -2).  If necessary, find 1 or two more points (such as the x-intercepts).

To find the roots (x-intercepts), set f(x) = x^2 + 2x - 2 = 0 and solve for x.

Completing the square, we obtain x^2 + 2x + 1 - 2 = + 1, or (x + 1)^2 = 3.

Taking the square root of both sides yields x + 1 = ±√3.  One of the two roots is x = 1.732 - 1, or 0.732, so one of the two x-intercepts is (0.732, 0).

6 0
3 years ago
How many of the numbers from 10 through 97 have the sum of their digits equal to a perfect​ square?
Anarel [89]
Perfect squares are:
1,4,9,16,25,36,49,64,81,100,....

the sum of the digits of our biggest number is 16 so any perfect square bigger than 16 doesn't work for us
1-
1+0=1 so any number containing the digits will work(keep in mind we only will look into whole numbers because digits can't be negative or have fractions or be irrational)
thereful 10 works for our category
2-
0+4=4
1+3=4
2+2=4
22 13 31 and 40 will work two
3-
0+9
1+8
2+7
3+6
4+5
90 18 81 27 72 36 63 45 54
4-
0+16
1+15
2+14
3+13
4+12
5+11
6+10
7+9
8+8
79 97 88

so our set of numbers contain:
10 22 13 31 40 90 18 81 27 72 36 63 45 54 79 97 88
3 0
3 years ago
PLS SOLVE THIS<br> I WILL MARK BRAINLIEST
Paraphin [41]

Answer:

AB = 25 units

Step-by-step explanation:

In right triangle ACB, CD\perp AB

Therefore, by geometric mean property:

CD^{2} ={AD\times DB}  \\  \\  {10}^{2}  = AD\times 5 \\  \\ 100 = 5AD \\  \\  AD =  \frac{100}{5}  \\  \\ AD = 20

AB = AD + DB

AB = 20 + 5

AB = 25 units

3 0
2 years ago
In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 :
aniked [119]

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

x : 4 = 12 : 16

Convert to fractions

\frac{x}{4} = \frac{12}{16}

Multiply through by 4

4 * \frac{x}{4} = 4 * \frac{12}{16}

x = \frac{48}{16}

x = 3

Option B:

1 : 5= x : 15

Convert to fraction;

\frac{1}{5} = \frac{x}{15}

Multiply through by 15

15 * \frac{1}{5} = \frac{x}{15} * 15

15 * \frac{1}{5} = x

3 = x

x = 3

Option C:

x : 1 = 12 : 3

Convert to fraction

\frac{x}{1} = \frac{12}{3}

x = 4

Option D

15:x = 3:1

Convert to fraction

\frac{15}{x} = \frac{3}{1}

Cross Multiply

3 * x = 15 * 1

3 * x = 15

Divide through by 3

x = 5

From the above calculations.

<em>Option A and B can be filled with 3</em>

5 0
2 years ago
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