Use the Pythagorean theorem to find the unknown side of the right triangle.

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.

Answer:

c

Step-by-step explanation:

Answer:

C

1 or more includes from the 1st quartile to the rest of the graph, so it is 75%

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Frequency of Section 1 is 28 and total number of  frequencies is 80.

Answer:

the frst person id wight!

Step-by-step explanation:

Answer:

$80.75

Step-by-step explanation:

95 * 0.15 = 14.25

95 - 14.25 = 80.75

hope this is helpful

Answer:

a

Step-by-step explanation:

Answer:

D. –10

Step-by-step explanation:

Given equation:

y = 3x – 1

what is the value of y when x equals –3?

Substitute x = -3 into the equation to find y

y = 3x – 1

= 3(-3) - 1

= -9 - 1

= -10

y = -10

The correct answer is D. –10

Answer:

D).

Step-by-step explanation:

I took the test.

Answer: Choice A)  

y = -4x+1

=======================================

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer:

[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"

Step-by-step explanation:

If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.

The angles will be:

[tex]30^o[/tex]

[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])

[tex]30^o[/tex]

This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).

Answer:

8n - 3.9

Step-by-step explanation:

Given

- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1

= 8n - 3.9

Answer:

4

Step-by-step explanation:

3 + 3.4 = 6.4

which is greater than 4

the sum of the 2 smallest sides have to be greater than the largest side

===============================================================

Explanation:

Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.

Let x be the cost of equipment, lighting, and costumes combined.

The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.

The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.

Let's solve for x

1814.40 - x = 500

-x = 500-1814.40

-x = -1314.40

x = 1314.40

So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.

Answer:

0.25

Step-by-step explanation:

t/4+16=17

t=(17-16)/4

=0.25

Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.

Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.

g(0) = -5

g(4) = -4

Now, all that's left to do is add these two values.

-5 + -4

-9

Hope this helps!! :)

Answer:

- 9

Step-by-step explanation:

g(0) = - 5 ← value of g(x) when x = 0

g(4) = - 4 ← value of g(x) when x = 4

Then

g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9

Answer:

(4,1);(1,4)

Step-by-step explanation:

The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be y = -x² + 4x + 1

Let the equation of line be y = -x + 5

Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.

Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:

-x² + 4x + 1 = -x + 5

Rearranging the equation, we get a quadratic equation in standard form:

-x² + 4x + x - 1 - 5 = 0

-x² + 5x - 6 = 0

Factoring the quadratic equation, we get:

-(x - 1)(x - 6) = 0

Setting each factor equal to zero and solving for x, we get two potential values for x:

x - 1 = 0 or x - 6 = 0

x = 1 or x = 6

Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:

For x = 1:

y = -1 + 5

y = 4

So, one point of intersection is (1, 4)

For x = 6:

y = -6 + 5

y = -1

So, the other point of intersection is (6, -1).

Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ2

Answer:

x = 27.6907 units

Step-by-step explanation:

cos (62) = 13/x

x cos (62) =13

13 / cos(62)=x

x is 27.6907 units

Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

Answer:

Numbner of plant in field = 2,020

Cost of planting trees = R.s 151,500

Step-by-step explanation:

GIven:

Side of square field = 45 m

Area of well = 5 square meter

1 plant = 1 squre meter

Cost per tree = R.s 75

Find:

Numbner of plant in field

Cost of planting trees

Computtaion:

Area of planting trees = Area of filed - Area of well

Area of planting trees = [45 x 45] - 5

Area of planting trees = 2,025 - 5

Area of planting trees = 2,020 squre field

Numbner of plant in field = Area of planting trees /  1 squre meter

Numbner of plant in field = 2,020

Cost of planting trees = 75 x Numbner of plant in field

Cost of planting trees = 75 x 2,020

Cost of planting trees = R.s 151,500

Answer:

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is  linear and homogeneous

Step-by-step explanation:

Given that,

The differential equation is -

[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]

[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]

By comparing with y′+p(t)y=g(t), we get

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is  linear and homogeneous.

Answer:

41 ft

Step-by-step explanation:

Since that's the height the Robin flew to.

Answer:

its either 41 feet or 50 feet or neither cause im dum.b

Step-by-step explanation:

41 feet explanation = the bird was on the ground and was 9 feet away from the tree so the bird moved 9 feet ON THE GROUND and then flew up 41 feet

50 feet explanation = the bird was on a branch 9 feet up from the tree base and flew the rest of the 41 feet

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH

Answer:

E is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hello! answer: 45

Step-by-step explanation:

90 + 45 + 45 = 180 therefore z = 45 hope that helps!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

45°

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

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