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son4ous [18]
3 years ago
15

Help me on #6 please and quickly please

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0
Hey there!

To start, you have one of your angles given, 40.5.  Now, given that the airplane is directly over point A of the triangle, you can conclude that ∠A is 90 degrees.

Knowing that the sum of all the angles of a triangle is 180 degrees, to find ∠P, you can set up this equation (where x is the missing angle of ∠P):
40.5+90+x=180

Simplify and solve for x:
40.5+90+x=180
130.5+x=180
x=49.5

Therefore, m∠P is equal to 49.5 degrees.

Hope this helps and have a marvelous day!

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A ball is dropped from a height of 8 feet .The ball bounce to 80% of its previous height with each bounce how high does the ball
exis [7]

Answer:

3.2768 feet

Step-by-step explanation:

The situation can be model by h(x)=8*(4/5)^(n-1). For the 5th jump, n=5. The height will be 8*(4/5)^4=3.2768

5 0
2 years ago
How did i work this out?
bogdanovich [222]

knowing the answer is between 3 & 4 plug those as x and see what you get for answers than adjust the number accordingly

3^3+2(3) = 33 so its higher than 3

4^3 + 2(4) = 72 so it is lower than 4

try the middle so try 3.5

3.5^3 + 2(3.5) = 49.875

question states use 1 decimal place so now try 3.6

3.6^3+2(3.6) = 53.856


3.5 is closest



6 0
3 years ago
Apply division algorithm to find the quotient and remainder on dividing the polynomial 3 x^ + 4 x^ square + 6 x + 9 by x^ + 3x +
Ulleksa [173]

I suppose you mean

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}

3x^3=3x\cdot x^2, and if we multiply x^2+3x+7 by 3x we get 3x^3+9x^2+21x. Subtracting this from the numerator gives a remainder of -5x^2-15x+9.

-5x^2=-5\cdot x^2, and multiplying x^2+3x+7 by -5 gives -5x^2-15x-35. Subtracting this from the previous remainder gives a new remainder of 44.

44 has no remaining factors of x^2 in it, so we're done, and

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}=\underbrace{3x-5}_{\rm quotient}+\dfrac{\overbrace{44}^{\rm remainder}}{x^2+3x+7}

4 0
3 years ago
The frequency (F) and length (L) of a wave are related by the following formula: F x L = 3.0 x 10^10. Consider that the waveleng
Sphinxa [80]
The correct answer: 2.3 x 10^18
7 0
2 years ago
Evaluate the definite integral using the graph of f(x)<br> (Image included)
Tanya [424]

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

\displaystyle \int_5^9 f(x) \, dx = -4\times5 = -20

Then by linearity, we have

\displaystyle \int_0^9 f(x) \, dx = \left\{\int_0^3 + \int_3^5 + \int_5^9\right\} f(x) \, dx = \frac{15}2 + 0 - 20 = \boxed{-\frac{25}2}

8 0
2 years ago
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