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Question 1 (1 point)
The base of the rectangular prism is shaded in the sketch below. What is the lateral surface area of
the rectangular prism?
15 cm
28 cm
34 cm
A 1,904 cm
B 1,860 cm?
C 3,764 cm?
D 14,280 cm?

Answer:

25% × ? = 9

? =

9 ÷ 25% =

9 ÷ (25 ÷ 100) =

(100 × 9) ÷ 25 =

900 ÷ 25 =

36

Answer:

The answer is 36

When finding a percentage you would typically multiply the decimal. Example 20% of 100. Multiply 100 x 0.20 = 20

When trying to do the opposite you would do the inverse (opposite) operation. So the inverse (opposite) operation of mulitplication is division.

Example: 20% of what number w is 20? Divide 20/0.20 = 100

Okay now lets solve your problem!

25% of what number w is 9? Divide  9/0.25 = 36

Step-by-step explanation:

25% in decimal is 0.25

9 / 0.24 = 36

Answer:

C=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s A

The length of the altitude of the right triangle given is 6.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

The given triangle is an equilateral triangle.

All the sides are equal.

Each of the side = 4√3

Altitude divides one of the side in to two equal halves.

Using Pythagoras theorem,

Altitude = √(4√3)² - (2√3)²

             = √(16×3) - (4 × 3)

             = √48 - 12

             = √36

             = 6

Hence the altitude of the triangle is 6.

Learn more about Pythagoras theorem here :

https://brainly.com/question/343682

#SPJ7

Answer:

x=57

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

(x-5) + (2x-7) + 21  = 180

Combine like terms

3x +9 = 180

Subtract 9 from each side

3x+9-9= 180-9

3x = 171

Divide by 3

3x/3 =171/3

x =57

Answer:

hopefully i got this right lol

Step-by-step explanation:

First Question:

2, 1

Second Question:

I'm assuming the lawn is the shaded region, which to solve you will need to calculate the area of the trapezoid and then subtract that by the area of the building.

EQUATION for area of building: l*w

48 * 64 = 3072^2ft

EQUATION for area of trapezoid: (a+b)/2h

subsitute

(100 + 150)/2 (80) = 10000

10000 - 3072 = 6928^2 ft

Third Question:

Answer: 26 1/4

Explanation: In order to find the volume of any rectangular prism, you need to multiply the length, width, and height. In this case, the equation is: 6 * 1 1/4 * 3 1/2 = 26 1/4

Answer:

The decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:

[tex]H_0: \mu = 410[/tex]

At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:

[tex]H_0: \mu < 410[/tex]

Type of test:

As we test if the mean is less than a value, we have a left-tailed test.

We have the standard deviation for the sample, which means that the t-distribution is used.

We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.

Using a calculator, the critical value is [tex]t_c = -1.721[/tex]

Determine the decision rule for rejecting the null hypothesis.

We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]

Answer: 244608

Step-by-step explanation: Multiply all of the numbers!

Answer:

I think it’s 244608

Step-by-step explanation:

Big number XoX

Answer:

660

Step-by-step explanation:

B and E Thank you for asking I'm good at fractions!!

Answer: No. This equation can't be solved by factoring

Given:

First 10 term of a geometric series are:

[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]

To find:

The expression that  represents the sum of the series.

Solution:

The first term of the given geometric series is:

[tex]a_1=\dfrac{16}{25}[/tex]

The common ratio of the given geometric series is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]

[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]

[tex]r=\dfrac{5}{2}[/tex]

The sum of first n terms of a geometric sequence is:

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

Where r is the common ratio.

Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get

[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]

Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].

Answer:

the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)

Step-by-step explanation:

Answer:

BD = 2

Step-by-step explanation:

here's your solution

==> in ∆ABC and ∆ ABD

==> angle C = angle D. [ = to 90° ]

==> AB is common side

==> angle BAC = angle BAD. [ BA is angle bisector]

==> hence both traingle are congruent

==> so, BD = BC. [ by C.P.C.T ]

==> BC = 2. [ Given ]

==> BD = 2

hope it helps

Answer:

l = 1.8 feet

Step-by-step explanation:

Given that,

The time period of the pendulum, T = 2.7 seconds

We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :

[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

Where

l is the length of the swing.

[tex]T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}[/tex]

So, the length of the swing is 1.8 feet long.

Answer:5.4

Step-by-step explanation:

Answer:

Where are the questions

Answer:

147/572

Step-by-step explanation:

The number of combinations of  n  things chosen  r  at a time is

[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]  (Some writers use the symbol [tex]_nC_r[/tex])

Choose 4 women from the 7:

[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex]  ways

Choose 3 men from 9:

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex]  ways

There are 35 x 84 = 2940 ways to choose both, out of

[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.

Probability:

[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]

P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]

When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.

[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]

Answer: A line segment is a part of a line having two endpoints.

Im not sure if you meant to put a picture there. So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

Answer:

its A

Step-by-step explanation:

just took the test

Answer:

The first graph on edge 2021

Answer:

13

Step-by-step explanation:

42/2 = 21

34-21 = 13

Answer:

729

Step-by-step explanation:

You are multiplying 3 each time. The first 4 terms are given to you:

Term 1: 9

Term 2: 9 x 3 = 27

Term 3: 27 x 3 = 81

Term 4: 81 x 3 = 243

Term 5: 243 x 3 = 729

729 is the 5th term of the geometric sequence.

Answer:

729

Step-by-step explanation:

Each terms are multiplied by 3.

So the 5th term is 243*3 = 729.

Answer:

37.8

Step-by-step explanation:

Change 12 mm to 1.2 cm

Then apply the volume rule

Area * height

A = 1.2*7=8.4

H=4.5

Volume 8.4*4.5 =37.8

Answer:

the answer is 38

Step-by-step explanation:

because one of the angles is 90 and the other one is 45, so the other angle is 45 too

so.. this is an isosceles triangle

9514 1404 393

Answer:

  (C)  SAS

Step-by-step explanation:

The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.

Those angles are between pairs of proportional sides:

  60/42 = 40/28 = 10/7

so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.

Answer:

B. 23.8

Step-by-step explanation:

Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)

c = length of side you are finding

a = length of side a

b = length of side b

y =angle opposite c

Answer:

Step-by-step explanation:

2/9 = 0.222....

Basically, the two's repeat forever - that's why C would be the correct answer

Hope that helps! :)

-Aphrodite

Answer:

approx 506.52

Step-by-step explanation:

Rectangle: 21 x 12 =252

Half circle = 1/2 (3.14)(6^2) = 56.52

Trapezoid: 6 (33 +33) = 198

add all of them together

Answer:

Step-by-step explanation:

Semi-circle:

Trapezoid:

Rectangle:

Area of the shape:

Answer:

Step-by-step explanation:

hi!

area:

both 7 by 4 sides: (7*4)2=56

both 3 by 7 sides: (3*7)2=42

both 3 by 4 sides: (3*4)2=24

add em up=56+42+24=122

i hope this answered your question. let me know if i missed something and ill fix it!