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3 years ago

There were 16 eagles in an area. Now there's 28 eagles in the area. What is the percent increase?

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Answer:

175%

Step-by-step explanation:

175% in a decimal is 1.75 multiply this by 16 and you have 28 there's the percent increase

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In ΔQRS, the measure of ∠S=90°, RQ = 13, SR = 12, and QS = 5. What ratio represents the tangent of ∠Q?

Olenka [21]

Answer:

2.4

Step-by-step explanation:

RSQ is a right anle triangle

tan(Q) = opposite/adjacent

tan(Ql = SR/QS

tan(Q = 12/5 = 2.4

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4 years ago

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Answer:

See image and connect the lines using the coordinates.

Step-by-step explanation:

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3 years ago

One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of

stira [4]

Answer:

StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction

Step-by-step explanation:

$\frac{1.55}{1} = \frac{x}{3.5} \\ \\ \therefore \: x = 1.55 \times 3.5 \\ \\ \therefore \: x = \$ 5.425 \\ \\\therefore \: x\approx \$5.43$

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3 years ago

Read 2 more answers

Can i please get your help , it will mean a lot if you actually do and luvya so for helping genuinely :)

Art [367]

Answer:29

Step-by-step explanation:

Opposite angles in a quadrilateral (the trapezium inside the circle) must add up to 180, so 180-92 = 88.

So DAB = 88

Angles on a straight line add up to 180, so to find t, you have to 180 - 88 - 63 = 29

So t is 29.

Hope that helps!

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3 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

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3 years ago