What is the area of the trapezoid?

Answer:

a) 3.37 seconds

b) 75.85 feet

c) 1.25 seconds

d) 47 feet

Step-by-step explanation:

a) I could use kinematic equations here, but I'll use the one provided. Height as a function of time equals 0 when the pumpkin reaches the ground, so 0=(-16t^2)+40t+47 is your equation here. Solve for t. t=3.37

b) If you have a graphing calculator, just use maximum feature. If not, use the formula x=-b/2a. x=-40/-32, x=1.25.

Now, plug 1.25 in as t, and you'll get y=75.85ft

c) alreaady found in previous part

d) this is the constant in the formula, or the y-intercept, which is 47 (because there's no variable attached).

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

[tex]\sin (60^\circ)=\dfrac{h}{12}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}[/tex]

Multiply both sides by 12.

[tex]\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12[/tex]

[tex]6\sqrt{3}=h[/tex]

Therefore, the height of the triangle is [tex]6\sqrt{3}[/tex] cm.

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57  

Answer:

Y=-3/4X+4

Step-by-step explanation:

Bottom to top, if the line is going to the right, it is positive, but if it goes left; negative. look at the Y axis, and where the line crosses is b.

Answer:

Step-by-step explanation:

x^2-16/x^4-x^3

Factor x^4-x^3:

=x^2-16/x^3(x-1)

x^3(x-1)

Factor x^2-16;

(x+4)(x-4)

=(x+4)(x-4)/x^3(x-1)

Answer:

i have made it in above picture

CF is 7

Step-by-step explanation:

GE is 10 and they have to be equal so 10-3 is 7

Answer:

36+6y

Step-by-step explanation:

you have to multiply 6 on 6+y because distributive property basically means to share out so you do 6(6)+(6)y

6(6) equals 36 (6x6) and 6(y) is just 6y

36+6y

Answer:

9/24

Step-by-step explanation:

This is because when we multiply 3/8 with 3 in both numerator and denominator we get,

[tex] \frac{3 \times 3}{8 \times 3} = \frac{9}{24} [/tex]

Hence, 9/24 is required answer.

Answer:

9/24

Step-by-step explanation:

Fraction             Equivalent Fractions

3/8          6/16               9/24

Answer:

n = 8.2

Step-by-step explanation:

54 - 13 = 41

5n = 41

41/5 = 8.2

n=8.2

I think is B but I am not 100% sure goodluck if I am wrong I am sorry :(

Answer:

D

Step-by-step explanation:

Its D because integers and whole numbers cannot be fractions, while a rational number can. A, B, C, and D can all be simplified into whole numbers while 7/11 cant

Answer:

2.7

Step-by-step explanation:

Let the number alex think be x

Answer = 22.7

According to the question,

x + 20 = 22.7

x = 22.7 - 20

x = 2.7

Therefore, his original number is 2.7

Plz mark me as brainliest

Have a great day

Answer: The scale factor is approximately 1.67

Step-by-step explanation:

30 × 1.67 = 50.1

50.1 ≈ 50

Incase you needed to know; y = 30 and x = 9

Answer: x-15=0 is x-15

x-4=0 is x=4

Hope this helps :)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 times 1 is 2 and then multiply 1/2 by 2 and you'll get 1 then add those two numbers together and you will get 3.  Note: The best way to do these types of things in multiplication is to split the numbers up among the decimal places so if you did 15 times 4 then an easy way to do it would be to split the 15 with 10 and 5 so then multiply the 10 by 4 and you get 40 now do the same to the 5 and you get 20 so now add those two numbers together and you get 60(This has nothing to do with the answer i just want to help make it easier for future problems such as this).

Answer:

3

Step-by-step explanation:

[Given]

2 * [tex]1\frac{1}{2}[/tex]

[Make improper fractions and solve by multiplying across]

[tex]\frac{2}{1}*\frac{3}{2} =\frac{6}{2}=3[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1.3

Step-by-step explanation:

Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

Notes:

Need:  Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

In Y = K X

    |         |

    |         numbers of euros.

    value in dollars

Our first number: 8 euro = $11

Y=11

X=8

Then Convert:

11=K8

11=K*8 ---> 8*K=11

8K=11

11/8= 1.3

K=1.3

From your not so smart brainly user

Answer:

x-17

Step-by-step explanation:

Answer:

x-17

I might be incappable

Answer:

y=(x+3)^2 has a vertex at (-3,0), while y=x^2 + 3 has a vertex at (0,3)

Mark me brainliest hope this helps

Step-by-step explanation:

Answer:

7..the way you worded the options was confusing

Answer:

86

Step-by-step explanation:

Answer:

28/15

--

I hope it helps!

Answer:

its would prob be 100 / 4

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

angle c=50

this is an isoceles triangle in which both base angles are same

so, angle e=50

now we will use angle sum.property which states that the sum of all the interior angles of a triangle is equal to 180

so, 50+50+angle d=180

100 + angle d = 180

angle d =180-100

angle d = 80 degrees

Answer:

11/5

Step-by-step explanation:

If you need help with more problems like this you can use m a t h w a y. (remove the spaces)  :)

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

Answer:

Step-by-step explanation:

The difference in interest amount is:

Jason received $40 more than Alistair