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OverLord2011 [107]
3 years ago
8

Find the area of the compound shape

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
This shape is separated into two trapezoids. The equation for the area of a trapezoid is .5(base1 + base2) multiplied by height. Therefore, each half of the compound shape would be equal to .5(12 + 8) * 6 or 10 * 6 = 60. So the area of the total would be 60+60 or 120.
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Finding out how many events can someone attend with the cost of $36
Tcecarenko [31]
They're allowed to join for $15. And for every event, they have to pay $3.

3x = 21

x = 7

Someone who has $36 can attend 7 events.
6 0
3 years ago
Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y
ra1l [238]
It is already in identity.
cos (x - y) - cos (x + y) = 2 sin(x) sin (y)
8 0
3 years ago
Use the discriminate to determine the number and the nature of the solutions of the giving equation.
PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4   b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0
2 years ago
Please Help!!!! 20 Points!!!!
Mekhanik [1.2K]

Answer:

C and D

Step-by-step explanation:

We can see that the base of the bigger triangle is 6. Based on the straight sides adjacent to the hypotenuse, the bigger one's height is 6 and the smaller one's is 3. This means that the smaller one is half the size of the bigger one. This means that if the bigger base is 6, the smaller one is 3. Since it is 3, we move 3 spaces left from point Z to get point Y. If you moved 3 spaces left, it would be (-5,2). You can also move 3 spaces right and then your Y point would be at (1,2) so C and D are the 2 possible answers.

4 0
3 years ago
ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Delicious77 [7]

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

Now we are given that ΔXYZ ≅ΔFED

So, the corresponding sides are equal and the corresponding angles are equal.

So, ∠Z= ∠D

So, 100=2y+10

100-10=2y

90=2y

45=y

Now XY = EF

So, 9 = 3x-12

21=3x

7=x

Hence The value of x is 7 and value of y is 45

5 0
3 years ago
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