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ICE Princess25 [194]
3 years ago
12

In the triangle below, what is sin θ?

Mathematics
2 answers:
Len [333]3 years ago
5 0
Sin theta = 10/26 = 5/13

Hope it helps.
notsponge [240]3 years ago
4 0
Sine (theta) = opposite / hypotenuse
sine (theta) = 10 / 26
sine (theta) = 5 / 13
sine (theta) = <span> <span> <span> 0.3846153846 </span> </span> </span>

(Looking up the arc sine (<span>0.3846153846</span>), we find that
angle theta = 22.62 Degrees)


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Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0
vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

x_1=-4+2i   and x_2=-4-2i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}+8x+20=0  

so

a=1\\b=8\\c=20

The discriminant is equal to

D=(b^{2}-4ac)

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

D=8^{2}-4(1)(20)=-16 -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}

x=\frac{-8(+/-)\sqrt{-16}} {2}

Remember that

i=\sqrt{-1}

x=\frac{-8(+/-)4i} {2}

x_1=\frac{-8(+)4i} {2}=-4+2i

x_2=\frac{-8(-)4i} {2}=-4-2i

8 0
3 years ago
PLS HURRY I NEED THE ANSWER FAST
balandron [24]

Answer:

16

notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :

a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 225 = 289

a^2 = 64

a= 8

multiply it by 2 to get the side of the base

8 * 2 = 16

5 0
3 years ago
The tree in milan's backyard is 8.4m high. how high is it in centimeters? be sure to include the correct unit in your answer.
Alex787 [66]
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3 years ago
Aisha bought 15 apples and oranges for $9.00. Each orange costs $0.50, and each apple costs $0.65. Let x represent the number of
Alecsey [184]
I might be wrong but i think its 
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3 0
3 years ago
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15. A restaurant has one type of milk that has 2% fat and another that has 7% fat. how many quarts of each type does the restaur
krek1111 [17]
<span>B. 16 quarts of the 2% milk and 24 quarts of the 7% milk First, let's create an equation to solve. x = quarts of 2% milk (40-x) = quarts of 7% milk So we have the equation x*2 + (40-x)*7 = 40*5 Now to solve for x x*2 + (40-x)*7 = 40*5 x*2 + 7*40 - 7*x = 40*5 x*2 - 7*x = 40*5 - 7*40 -5*x = - 2*40 x = 2*8 x = 16 So we need 16 quarts of 2% milk and 40-16 = 24 quarts of 7%, which matches option "B".</span>
5 0
3 years ago
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