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il63 [147K]
3 years ago
6

In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.

Mathematics
1 answer:
azamat3 years ago
7 0

Given that ABC is a right angle triangle with m∠C=90°,  m∠B=75° and AB=12cm.

Area of triangle =  

                         =  

So we need to find BC,AC now.

To find them let us take sinB and cosB.

SinB =  

BC = 12* cos B = 12* cos 75

So, area =  

            = 72*sin(75)*cos(75)

            = 36*(2sin(75)cos(75))

            = 36*sin(150) =  18

Hence area of triangle is 18

Hope this helps tbh sorry I was a little late btw (:

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Factor each polynomial x^2-9x+10 <br> Show your work
jok3333 [9.3K]

Answer:

not factorable

Step-by-step explanation:

x^{2}  - 9x +10\\

The easiest way to factor is to find two numbers of the "a" value (the coefficient before x^{2}) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:

1          -10  --> 1(-10) gives you -10

1           -1    --> 1(-1) gives you -1

adding these together -10 + (-1) = -11 which does not equal -9.

You could stop here and conclude that this is not factorable by inspection.

Another method: using the quadratic formula to find its roots.

Roots: (\frac{9-\sqrt{41} }{2}, 0) and (\frac{9+\sqrt{41}}{2}, 0)

7 0
3 years ago
I need help I got this wrong
wlad13 [49]
<h2>Solution : </h2>

y = -2|x +1|

→ |x + 1| = -y/2

→ x+1 = y/2

and

x + 1 = -y/2

→ x + 1 belongs to R

→ x belongs to R

Domain = R

Range = y = -2(R)

→( -∞ , 0)

3 0
3 years ago
A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The
Paraphin [41]

Answer:

Step-by-step explanation:

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Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient.multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

the mixture has to be less than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is 7x + 5y 

4 0
3 years ago
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Xelga [282]

Answer:

gradient = 9

Step-by-step explanation:

5 0
3 years ago
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xeze [42]

Answer:

See photo below

Add arrows to the two ends of the parabola.

Step-by-step explanation:

To sketch this quadratic function, we to connect three dots: the two roots and a vertex.

The given roots are -1 and 1.

Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).

Vertex dot: V (x, y)

The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.

V (0, y)

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We read from left to right. The greater numbers are towards the top of the page.

<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>

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