7th grade math escape room: geometry Math in the Midwest 2019

Answer:

Step-by-step explanation:

                multiplying the first bracket with the second (step by step)

          = 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)

          = 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6

          =5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6

A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?

The base of the given parallelogram is

Area of a parallelogram is defined as the product of its base and height respectively. Mathematically;

→ Area of parallelogram = base * height

By substituting the given values in the formula, we get the following results:

→ 37 = base * 4

→ base = 37/4

→ base = 9.25

Hence, the base of the given parallelogram is 9.25 feet.

Let's know something more about a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral whose opposite sides are parallel and hence its opposite angles are also parallel.

What is the formula of a parallelogram?

Let ‘B’ be the base and ‘H’ be the height of a parallelogram then its area is given by,

→ Area of parallelogram = B * H

What is unit of parallelogram?

The unit of a parallelogram is square units.

Answer:

A

Step-by-step explanation:

The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.

The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.

Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992

Answer:

1.96

Step-by-step explanation:

its 1.96 or c on edge 2020

option B

Cos theta is positive and sin theta is negative in quadrant IV

[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       [tex]\sf x =\sqrt{9}\\\\x = 3[/tex]

[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]

Answer:

[B] [tex]y=log_3x[/tex]

Step-by-step explanation:

Given:

[tex]y=3^x[/tex]

Exchange the variables:

[tex]x=3^y[/tex]

Putting the variable y on the left side of the equation:

[tex]3^y=x[/tex]

Applying the logarithm properties:

[tex]y=log_3(x)[/tex]

Thus,

[tex]f^-^1=log_3(x)[/tex]

Hence, the answer is [B] [tex]y=log_3x[/tex]

~lenvy~

[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]

Answer:

This isnt much of an answer just something to help-

Try doing A(1 + B)^I

Answer:

A

Step-by-step explanation:

8-3=5

9/10 -4/10 =5/10

since 5/10 can be simplified to 1/2, it is A

Answer:

20 m^2

Step-by-step explanation:

Area of base rectangle + area of triangle atop the rectangle = total area

8x 2                                 + 1/2 4 * 2

 16               +        4    = 20 m^2

Answer:

A) -5/2

Step-by-step explanation:

Parallel lines have same slope.

Answer:

4 dollars

Step-by-step explanation:

12 divided by 3 is 4

Answer:

I would say about 60%

Step-by-step explanation:

since odd numbers are 3 of the 5 total cards 3/5 gets you 60% likely to pull qn odd number.

Answer:

b

Step-by-step explanation:

Answer:

right answer

Step-by-step explanation:

A guy name Mac answered a similar question so it’s right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given relations can be written as two equations in two unknowns. These can be solved by any of the ususal methods.

__

Let v and b represent the numbers of vans and buses used, respectively.

  v + b = 24 . . . . . 24 vehicles were taken

  8v +43b = 752 . . . . 752 students were transported

__

Perhaps the easiest solution is that afforded by a graphing calculator. It shows the solution to be ...

  v = 8 . . . . vans required

  b = 16 . . . . buses required

__

You can eliminate the v variable by subtracting 8 times the first equation from the second.

  (8v +43b) -8(v +b) = (752) -8(24)

  35b = 560 . . . . . simplify

  b = 16 . . . . . . divide by 35

  v = 24 -16 = 8 . . . . . find v from the first equation

They had to take 8 vans and 16 buses.

Answer:

388.79 (nearest hundredth)

Step-by-step explanation:

Given sequence:  324, 54, 9, ...

Therefore:

[tex]a_1=324[/tex]

[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]

Sum of a finite geometric series:

[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]

Sum of the first 6 terms → n= 6:

[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]

Answer:

8 , 6 , 12

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

you want kg/m^3    so just divide

    420 kg / 7 m^3 = 60 kg/m^3

Step-by-step explanation:

Volume of a cone = 1/3 x π x r^2 x h

= 1/3 x 3.14 x (8)^2 x (18)

= 1/3 x 3.14 x 64 x 18

= 1/3 x 3.14 x 1,152

= 1/3 x 3.14 x 1,152

= 1,205.76

= 1,205.8 m^3

*Note*: Alter the pi according to the question always.

Check the picture below.

[tex]\cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{38.4}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{2(19.2)}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{1}{2} \\\\\\ 36=18+x\implies 18=x[/tex]

the sum of all the angles in a triangle is 180°

65°+20°+x = 180°

85°+x = 180°

x = 95°

hope it helps...!!!

Answer:

divide it into a triangle and a segment then use Pythagoras thereom

Step-by-step explanation then the answer:

Hey there, I think this question may be a circle all. So the questions with the answer (quotient) being in the hundreds place would be A, D, and E. Those all have quotients in the hundreds place.

Answer:

x = 79.6

Step-by-step explanation:

[tex] \sin( 0) = \frac{opp}{hyp} [/tex]

↓

[tex] \sin(31) = \frac{41}{x} [/tex]

↓

[tex]x = \frac{41}{sin31} [/tex]

↓

x = 79.6

Answer:

what?

Step-by-step explanation:

Answer:

Please tell me what this means.