An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.

A graph of a line and a parabola intersecting at (46.5, 9.3).

Which set of equations best models the point of intersection of the arrow and the target?

y = 0.006x2 + 0.35x + 6 and y = x
y = –0.006x2 + 0.35x + 6 and y = –x
y = 0.006x2 + 0.35x + 6 and y = 0.2x
y = –0.006x2 + 0.35x + 6 and y = 0.2x

Using relations in a right triangle, it is found that it's area is of 302.2 units squared.

The relations in a right triangle are given as follows:

In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:

[tex]\tan{25^\circ} = \frac{x}{36}[/tex]

[tex]x = 36\tan{25^\circ}[/tex]

x = 16.79.

It is given by half the multiplication of it's sides, hence:

A = 0.5 x 16.79 x 36 = 302.2 units squared.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

200

Step-by-step explanation:

Answer:

The solution to the set of linear equations is:

[tex](5,-4)[/tex]

Step-by-step explanation:

Hey there!

In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y

[tex]6-2x=-4x+16[/tex]

Now we simplify

[tex]2x=10[/tex] ---> [tex]x=5[/tex]

So now that we know that x is equal to 5, we can find the value of y

let's substitute it in one of the equations

[tex]y=6-2(5)[/tex] ---> [tex]y=-4[/tex]

So now we know that the point where the two equations intersect is:

[tex](5,-4)[/tex]

This is going to be our solution

The graph is in an attachment below

Answer:

31.25 %    or  5/16

Step-by-step explanation:

30 out of 96  chance

30/96 = 31.25%

Answer:The probability that a randomly chosen musician is a guitarist is 30/96.

Step-by-step explanation:

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

Step-by-step explanation:

This equation is known as slope-intercept form.

Parts of the slope-intercept form equation:

[tex]y=mx+b[/tex]

m represents the slope.

b represents the y-intercept.

In the equation, [tex]-\frac{1}{2}[/tex] is in the placement of m.

We can conclude that [tex]-\frac{1}{2}[/tex] is our slope.

Learn more about the slope of a line:

Answer:

4

Step-by-step explanation:

using Pythagorean theorem

a^2+b^2=c^2

you have C so you can flip it around

c^2-b^2 will give you a^2

Answer:

the answer is 4

Step-by-step explanation:

b²=5²-3²

b²=16

b=4

Answer:

pretty sure its y = 2x +1

Step-by-step explanation:

The equation that represents the time spent on the exercise by Serena will be t = 10 + s

From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.

Therefore, the equation that represents the time spent on the exercise will be t = 10 + s

Learn more about equations on:

https://brainly.com/question/2972832

Answer:

y⁶ (I think you enter just 6 in your problem)

64x¹⁸y⁶ (Simplified)

In the Simplified problem above y has an exponent of 6.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Perimeter of square is :

[tex]\qquad \sf  \dashrightarrow \:4 \times side \: length[/tex]

so, we can take side length as a, and solve for a ~

[tex]\qquad \sf  \dashrightarrow \:4a = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 60 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 15[/tex]

Now, since we know the side length. let's find Area of square :

[tex]\qquad \sf  \dashrightarrow \: {15}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 225 \: m {}^{2} [/tex]

Answer:

2.71

Step-by-step explanation:

Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71

[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

AB = BD is given. Therefore,

7x + 10 = 9x-2

10 + 2 = 9x - 7x

12 = 2x

x = 2

Now, Put the value of x in value of AB

AB = 7x + 10

AB = 7 × 2 + 10

AB = 14 + 10

AB = 24

Answer:

400,000

Numbers given:

After rounding them to nearest hundredth thousand:

Difference:

But the question is, how much did she spend?

Step-by-step explanation:

[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]

________________________________________________________

Ask me in the comments box.

The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon measures 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon will be

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon will be

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius is 30 degrees.

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

2, 4, & 5

Step-by-step explanation:

I did it

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

Answer:

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

⇒ x = 2

Therefore,

Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 8 = -x + 10 and we have also given its solution that is 2 .And We are asked to tell whether the solution of given equation is true or false .

For finding that we must have to solve the equation .

Solution : -

[tex]\longrightarrow \qquad \: 8 = -x + 10[/tex]

Step 1 : Flipping the equation so that there's ease in solving :

[tex] \longrightarrow \qquad \: - x + 10 = 8[/tex]

Step 2 : Subtracting with 10 on both sides :

[tex] \longrightarrow \qquad \: - x + \cancel{10 }- \cancel{ 10} =8 - 10[/tex]

On further calculations , We get :

[tex] \longrightarrow \qquad \: - x = - 2[/tex]

Step 3 : Multiplying with -1 on both sides :

[tex] \longrightarrow \qquad \: - x \times - 1 = - 2 \times - 1[/tex]

We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \frak{x = 2}}}}[/tex]

Alternative Solution : -

There's another easy way to check whether 2 is solution of given equation or not . This is done by substituting value of x that is 2 in given equation that is 8 = -x + 10 . So substituting value of x ( solution ) in given equation :

As we can see that left side is equal to right side .

Answer:

10 cubic inch is the volume of container

Answer:

x = 35

y = 7

Step-by-step explanation:

See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so

C + 45 + 30 = 180

C + 75 = 180

C = 105°

This is angle DCB.

Now all the angles are marked. We can set up equations to find x and y. see image.

Answer:

7.62

Step-by-step explanation:

To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.

A^2 + B^2 = C^2

Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.

First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.

On the x-axis we have

A = 5 - 2

A = 3

The y-axis has

B = 4 - (-3)

B = 7

Plugging these values into the equation from earlier we get:

3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.

9+49 = C^2

sqrt(58) = C

7.615773106 = C

Rounded the the nearest hundredth:

C = 7.62