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galben [10]
3 years ago
8

Samantha wants to find the height of a pine tree in her yard. She measures the height of the mailbox st 3ft and its shadow at 4.

8ft. Then she measures the shadow of the tree at 56ft. How tall is the tree?
Mathematics
1 answer:
Simora [160]3 years ago
7 0
The tree is about 35.01 feet tall.
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An acute angles measure is:
kkurt [141]

Answer:

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

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3 years ago
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The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free throws, fi
poizon [28]

Answer:

the rational of a basketball player..

completed throws : attempted throws

7:4

there are 12 free throws now.

=> 7/4 of 12

=> 21 free throws

Step-by-step explanation:

IF SHE COMPLETED 12 FREE THROWS THE NUMBER OF FREE THROWS SHE ATTEMPTED ID 21 FREE THROWS

hope it helps u :)

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Choose correct y intercept of the exponential function f(x)=8(0.25)^x
Zinaida [17]

Answer:

( 0 , 8)

Step-by-step explanation:

The y-intercept is when the graph intersects the y axis, in other words, when x is zero. Hence substitute 0 in for x

f ( x ) = 8 ( 0.25 )^{x}

f ( 0 ) = 8 (0.25)^{0}

Any number to the power zero is one;

f ( 0 ) = 8 * 1

f(0) = 8

The y-intercept is 8.

6 0
3 years ago
g Suppose that the populationy(t)of a certain kind of fish is given by the logistic modely′= 3y−2y2(a) Solve the Bernoulli equat
Ksju [112]

Answer:

y = \frac{3}{2 + 3Ce^{-3t} }

Step-by-step explanation:

As given , y' = 3y - 2y²

⇒y' - 3y = -2y²

Divide by y² in the above equation

⇒\frac{y'}{y^{2} } - \frac{3y}{y^{2} } = -\frac{2y^{2} }{y^{2} }

⇒\frac{y'}{y^{2} } - \frac{3}{y } = -2       ........(1)

Now , let \frac{1}{y} = u

⇒-\frac{1}{y^{2} } \frac{dy}{dt} = \frac{du}{dt}

⇒-\frac{1}{y^{2} }y' = \frac{du}{dt}

∴ equation (1) becomes

-\frac{du}{dt} - 3u = -2

⇒\frac{du}{dt} + 3u = 2

It is a linear differential equation

Now,

Integrating factor = I.F = e^{\int\limits {3} \, dt } = e^{3t}

∴ The solution becomes

u.(I.F) = \int\limits {2.(I.F)} \, dt + C

⇒u.(e^{3t}) = \int\limits {2.(e^{3t} )} \, dt + C

⇒u.(e^{3t}) = \frac{2e^{3t} }{3} + C

⇒u = \frac{2}{3} + Ce^{-3t}

As \frac{1}{y} = u

⇒\frac{1}{y}  = \frac{2}{3} + Ce^{-3t}

⇒ y = \frac{1}{\frac{2}{3} + Ce^{-3t}  } = \frac{3}{2 + 3Ce^{-3t} }

⇒ y = \frac{3}{2 + 3Ce^{-3t} }

6 0
3 years ago
Find the area of a regular octagon with
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Answer:

A= 695.3cm²

Step-by-step explanation:

  • We khow that the area of anctagon is : A= 2(1+\sqrt{2})*a² with a the side
  • so A= 2(1+√2)*a² = 695.29= 695.3 cm²

4 0
3 years ago
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