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3 years ago

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.

Mathematics

2 answers:

nika2105 [10]3 years ago

6 0

C) AAA because if 2 angles are equal that means the 3rd one has to be equal as well and aaa is a similarity theorem

OlgaM077 [116]3 years ago

4 0

B.) If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the "<span>ASA Similarity Postulate"

Hope this helps!</span>

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The profit function for a new product is given by p(x) = -4x^2+28x-40, where x is the number sold in thousands. How many items m

Ivenika [448]

The break even point is when profit is equal to zero, or in this case when p(x)=0

4x^2-28x+40=0

4(x^2-7x+10)=0

4(x^2-2x-5x+10)=0

4(x(x-2)-5(x-2))=0

4(x-5)(x-2)=0

So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.

3 0

2 years ago

May I know this answer

kap26 [50]

I think it’s C but I may be wrong

3 0

3 years ago

Show the working out

m_a_m_a [10]

Answer:

59.25 currency ; No. of cans rounded to next whole number

Step-by-step explanation:

Draw a perpendicular line frrom the 12m. line onto the 20m. line. We get a rectangle on the left and a right-triangle on the right.

Using Pythagorous theorem,

Fence = $\sqrt{17^{2} - 8^{2}}$ m = 15 m

So, area of the lawn = ( 1/2 ) * ( 12 + 20 ) * 16 sqm = 240 sqm

So, number of cans needed = 240/100 = 2.4 ≈ 3 [Cause cans can't be partially bought ]

Total cost = 3 * 19.75 currency = 59.25 currency

( However, if cans can be partially bought, then total cost = 47.4 currency )

4 0

3 years ago

If 2 - 3i is a solution to the equation x3 - 3x2 + 9x + 13 = 0, what are the other roots of the equation?

OLga [1]

The complex solutions come in pairs and the only difference between them is the sign between the real and imaginary part, so one of the other two solutions is $2+3i$ . The third solution can be easily found using the rational root theorem, and it's equal to -1.

4 0

3 years ago

a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

sdas [7]

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

$h=-16t^2+32t+48$

Let us assume that we need to find the time by it to reach the ground. It means h = 0

$-16t^2+32t+48=0$

The above is a quadratic equation. The value of t is given by :

$t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s$

So, it will take 2.11 seconds to reach the ground.

6 0

3 years ago