22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.

Answers

Answer 1

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.


Related Questions

The Natural History Museum has a 1:60 scale model of a tyrannosaurus rex dinosaur. The length of the model is 20 centimeters. Find the
actual length (in meters) of a tyrannosaurus rex.

Answers

Answer:

12 meters

20cm*60 = 1200cm = 12 meters

100cm = 1m btw

Given Tan A= 2/3 and that angle A is in quadrant 1, find the exact value of sec A in simplest radical form using a rational denominator.

Answers

Answer:

[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]

Step-by-step explanation:

Given

[tex]\tan A = 2/3[/tex]

Required

[tex]\sec\ A[/tex]

First, we have:

[tex]\tan A = \frac{x}{y}[/tex]

Where

[tex]x \to oppo site\\[/tex]

[tex]y \to adja cent[/tex]

[tex]z \to hypotenuse[/tex]

So:

[tex]\tan A = \frac{x}{y} =\frac{2}{3}[/tex]

By comparison:

[tex]x = 2; y =3[/tex]

Using Pythagoras, we have:

[tex]z^2 = x^2 +y^2[/tex]

[tex]z^2 = 2^2 +3^2[/tex]

[tex]z^2 = 13[/tex]

[tex]z = \sqrt{13[/tex]

[tex]\sec A =\frac{z}{y}[/tex]

[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]

Help and explain please and thankyouuu’!!!!!

Answers

here,

f(x)=x-4

then, f(-3.2)=(-3.2)-4

[ replace the value of x in the equation by -3.2]

therefore,f(-3.2)=-7.2 answer....

HOPE THIS HELPS YOU.HAVE A NICE DAY/NIGHT.....

9514 1404 393

Answer:

  (a)  f(-3.2) = -7

Step-by-step explanation:

The ceiling function returns the smallest integer greater than or equal to its argument value. For an argument of -3.2, the next larger integer is -3.

  [tex]f(-3.2)=\lceil -3.2\rceil-4=-3-4=\boxed{-7}[/tex]

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.
8, 16, 14, 8, 16

(a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places.)

(b) Add 8 to each data value to get the new data set 16, 24, 22, 16, 24. Compute s. (Enter your answer to four decimal places.)

(c) Compare the results of parts (a) and (b). In general, how do you think the standard deviation of a data set changes if the same constant is added to each data value?

Adding the same constant c to each data value results in the standard deviation remaining the same.

Adding the same constant c to each data value results in the standard deviation increasing by c units.

Adding the same constant c to each data value results in the standard deviation decreasing by c units.

There is no distinct pattern when the same constant is added to each data value in a set.

Answers

Answer:

3.6661

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

The perimeter of triangle ABC is 56 cmThe length of AB is С 4x - 4 degrees; 2x + 6 degrees; 70 degrees B A A 16 B of these 18 cm D 5 E 20 cm

Answers

Answer:

Step-by-step explanation:

the end of day values of a stock market index for the week of December 9-13 are graphed to the right

Answers

Answer: 33.4

Step-by-step explanation:

slove the system of linear equations by graphing.
-x+y=3
x+y= -3​

Answers

Answer: it is a linear line

Step-by-step explanation:

They both together make 0

Which of the following is the simplified form of? Jx/
xVx?
ox
x21
O 21 /
Points eamed on this question: 0

Answers

Use the following property below:

[tex] \large \boxed{ \sqrt[n]{a} \times \sqrt[n]{a} \times \sqrt[n]{a} = { (\sqrt[n]{a}) }^{3} }[/tex]

Therefore,

[tex] \large{ \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} = { (\sqrt[7]{x}) }^{3} }[/tex]

Then we use next property.

[tex] \large{ \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } }[/tex]

Hence,

[tex] \large{ \sqrt[7]{ {x}^{3} } = {x}^{ \frac{3}{7} } }[/tex]

Answer

x^(3/7)

Solve for x. Leave your answer in simplest radical form.

Answers

mhmmmmmm like 13 because 10+3 is 13 and #brain

Answer:

7√2

Step-by-step explanation:

Leg of the right triangle = greater base - smallest base = 10- 3 = 7

Leg 2 = height = 7

x = [tex]\sqrt{7^2 + 7^2} = \sqrt{49 * 2} = 7\sqrt{2}[/tex]

Compute using long division: 9,876 divided by 123

Answers

Answer:

C 80 R36

Step-by-step explanation:

See attached image for explanation.

two angles of traingle is 40° and 60° . find the measurement of the third angle​

Answers

Answer:

80 degrees

Step-by-step explanation:

the angles in a triangle all add up to 180 degrees

Answer:

Let the third angle be [tex]{x°}[/tex]

Since the sum of all three angles of a triangle is 180°,

We have

40°+60°+[tex]{x}[/tex] = 180°

→ 100+[tex]{x}[/tex] = 180°

[tex]{x}[/tex] = 180-100 = 80°

The measure of the third angle is 80°

Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|

Answers

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

Can y’all help me on question 16?!

Answers

Answer:

C

Step-by-step explanation:

173.6 • 9= 1562.4

A metal can in the shape of a right circular cylinder needs to hold a volume of V cm3 . Throughout this problem V > 0 is a parameter that needs to be left as V . Suppose that the metal for the sides costs 5 cents per square cen- timeter to manufacture, whereas the top and bottom cost 10 cents per square centimeter to manufacture. Find the shape of the least expen- sive can. What is the cost of the least expensive can

Answers

Answer:

C(min) = 0.5*V  +  √V/1.256  $

Step-by-step explanation:

The volume of a circular cylinder is: V(c)  = π*r²*h    where r is the radius of the circumference of the base and h is the height

The cost of the can is = the cost of (base and top) + lateral cost

Base surface = top surface =  π*r²

Then cost of ( base + top ) is = (2* π*r² )*0,1

Lateral surface is  = 2*π*r*h

Then cost of lateral surface is:  (2*π*r*h)*0,5

Total cost C(t) = (2* π*r² )*0,1  +  (2*π*r*h)*0,5

V = π*r²*h

Total cost  as a function of (V >0 a parameter) and r then

h  =  V / π*r²

C(V,r)  =  (2* π*r² )*0,1  +  π*r*(V / π*r²)

C(V,r)  =  0.2*π*r²  + V*/r

Taking derivatives on both sides of the equation we get:

C´(V,r)  =  2*0.2*π*r  -  V/r²

C´(V,r)  =  0             0.4*π*r  - V/r  = 0

Solving for r

0.4*π*r² - V = 0      ⇒  1.256*r²  = V          r = √ V/ 1.256    cm

and  h  =  V /π *  (√ V/ 1.256)²

h =  1/ 1.256*π

h  =  0.254 cm

C(V,r)  =  0.2*π*r²  + V*/r

C(min) = 0.2*π* (√ V/ 1.256)²   +  V/ √ V/ 1.256

C(min) =  0.2*π*V/1.256  +   V/ √ V/ 1.256

C(min) = 0.5*V  +  √V/1.256  $

what is the prime factorization of 225 in exponent form

Answers

The prime factorization of 225 = 3^2•5^2

Answer:

prime factorization of 225 = 32•52.

Step-by-step explanation:

The number 225 is a composite number so, it is possible to factorize it. 225 can be divided by 1, by itself and at least by 3 and 5.

A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number.

Which absolute value equation represents the graph

Answers

Answer:

the first one

Step-by-step explanation:

Hope this helps!

A jogger travelled 52km in 4 days.what is the rate he travelled per day?​

Answers

Answer:

13km per day

Step-by-step explanation:

If this does not involve complex rules then we can calculate the rate just by dividing 52 with 4 which results 13km per day

Goodluck

Instructions: Find the area of the sector. Round your answer to the nearest tenth.

I’ll mark brainliest please help me

Answers

Answer:

[tex]area \: = \frac{165}{360} \times \pi {8}^{2} \\ = 92.1533845053 \\ = 92 \: in^{2} [/tex]

What is the slope of the line below?

(-2,4) (5,4)

A. Positive

B. Zero

C. Undefined

D. Negative

Answers

Answer:

B

Step-by-step explanation:

the slope is 0

the y intercept is ( 0,4 )

Inequality of y<-4+3 on graph

Answers

Answer:

[tex]y < - 1[/tex]

Step-by-step explanation:

[tex]y < - 4 + 3[/tex]

[tex]y < - 1[/tex]

Hope it is helpful...

[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]

[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]

F(x) = x3 + x2 -8x - 6
According to the Fundamental Theorem of Algebra, how many solutions/roots will there be?
According to Descartes' Rule of Signs, what are the possible combinations of positive, negative, and/or complex roots will there be?
Using the Rational Root Theorem, list all the possible rational roots.
Use a combination of Synthetic Division, Factoring, and/or the Quadratic Formula to find all the roots. PLEASE SHOW ALL WORK!
This is my 4th time posting this and no ones helping. Please someone who is smart help me out lol

Answers

Answer:

Given function:

f(x) = x³ + x² - 8x - 6

This is the third degree polynomial, so it has total 3 roots.

Lets factor it and find the roots:

x³ + x² - 8x - 6 = x³ + 3x² - 2x² - 6x - 2x - 6 = x²(x + 3) - 2x(x + 3) - 2(x + 3) = (x + 3)(x² - 2x - 2) = (x + 3)(x² - 2x + 1 - 3) = (x + 3)((x - 1)² - 3) = (x + 3)(x - 1 + √3)(x - 1 - √3)

The roots are:

x = -3x = 1 - √3x = 1 + √3

It has highest degree 3 so 3 roots

1 positive and 2 negative roots

Lets find

x³+x²-8x-6=0x²(x+3)-2x(x+3)-2(x+3)=0(x+3)(x²-2x-2)=0(x+3)(x-2.732)(x+0.732)=0

Roots are

-3,2.732,-0.732

(0.020(5/4) + 3 ((1/5) – (1/4)))

Answers

Answer:

- 0.125

Step-by-step explanation:

Given the equation :

(0.020(5/4) + 3 ((1/5) – (1/4)))

0.020(5/4) = 0.025

3((1/5) - (1/4)) = 3(1/5 - 1/4) = 3(-0.05) = - 0.15

0.025 + - 0.15 = 0.025 - 0.15 = - 0.125

please answer and help me on this question!​

Answers

Answer: 10.1 cm approximately

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

Explanation:

The double tickmarks show that segments DE and EB are the same length.

The diagram shows that DB = 16 cm long

We'll use these facts to find DE

DE+EB = DB

DE+DE = DB

2*DE = DB

DE = DB/2

DE = 16/2

DE = 8

-------------

Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9

Use the pythagorean theorem to find x

a^2+b^2 = c^2

8^2+x^2 = 9^2

64+x^2 = 81

x^2 = 81 - 64

x^2 = 17

x = sqrt(17)

That makes EC to be exactly sqrt(17) units long.

If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6

---------------

So,

AC = AE+EC

AC = 6 + sqrt(17)

AC = 10.1231056256177

AC = 10.1 cm approximately

Determine the value of "k" when the lines y=k3x+2 and y=14x+2 are perpendicular. Show your work. (3 marks/PS)

Answers

Answer:

[tex]k=-\frac{1}{42}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2)

Given the equation [tex]y=14x+2[/tex], we can identify the slope (m) to be 14. This means that the slope of a perpendicular line would have to be [tex]-\frac{1}{14}[/tex] since that is its negative reciprocal.

In the equation [tex]y=k*3x+2[/tex], the slope would be 3k. 3k would be equal to [tex]-\frac{1}{14}[/tex]:

[tex]3k=-\frac{1}{14}[/tex]

Divide both sides by 3 to solve for k

[tex]k=-\frac{1}{42}[/tex]

I hope this helps!

A farmer has a rectangular field with length 1 mile and width 0.5 miles. How much fencing would it take to enclose his field?

Answers

Answer:

3 mi of fencing would be required to enclose this field.

Step-by-step explanation:

Here we are finding the perimeter of a field with given length and width.  We apply the perimeter formula P = 2L + 2W.  Substituting the given dimensions, we get:

P = 2(1 mi) + 2(0.5 mi), or

P = 2 mi + 1 mi = 3 mi

3 mi of fencing would be required to enclose this field.

Answer:

15840 feet of fencing = Perimeter = 15840ft

However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.

See bold.

Step-by-step explanation:

6ft fencing = 5280/6 = 880 fences one length

880 x 2 = 1760 6ft fences 2 sides

0.5 x 1760 = 880

1760+ 880 = 2640 fences each 6ft

Total feet of fence = 2640 x 6 =15840 feet of fencing

This table shows values that represent a quadratic function.
х
y
0
-1
1
SON
| N|مي | |
-10
4
-17
-26
6
-37
What is the average rate of change for this quadratic function for the interval
from x= 4 to x= 6?
A. 10
B. -10
C. 20
D. -20

Answers

Answer:

[tex]Rate = -10[/tex]

Step-by-step explanation:

Given

The table

Required

The average rate if change over (4,6)

This is calculated as:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = -37[/tex]

[tex]f(4) = -17[/tex]

So:

[tex]Rate = \frac{-37 --17}{2}[/tex]

[tex]Rate = \frac{-37 +17}{2}[/tex]

[tex]Rate = \frac{-20}{2}[/tex]

[tex]Rate = -10[/tex]

what is the answer to tjis question? 7 more than h

Answers

Answer:

7>h

Step-by-step explanation:


Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

B

Step-by-step explanation:

LA = radius x 2 x pi x height = 6 x 2 x pi x 13 = 489.8 ft^2

solve solve solve solve

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{4}{5} \div \frac{3}{4} [/tex]

= [tex] \: \frac{4}{5} \times \frac{4}{3} [/tex]

= [tex] \: \frac{4 \times 4}{5 \times 3} [/tex]

= [tex] \: \frac{16}{15} [/tex]

= [tex] \: 1 \frac{1}{15} [/tex]

( OR )

= [tex] \: 1.0667[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆[/tex]

Step-by-step explanation:

[tex] \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you[/tex]

what is the next numbers in the sequence 0, 5, 20, -, -,-​

Answers

Answer:

51, 104, and the next number of series is 185

Step-by-step explanation:

I hope this will help u

Answer:

the next number in the sequence should be 45

Other Questions
Khalid was recently hired as an intern in a marketing company. He was given a copy of the company's employee handbook, which identified the expectations for employees and the standards of proper or acceptable behavior, including the standard of dress, the amount of time given for breaks and lunch, guidelines for using company materials such as the copy machine, and the importance of being courteous and civil to all. The employee handbook provides guidance about the _______ of the company She (not drink) .. coffee. She (drink) .milk 1. If NK = 7 and KL = 15, find NL.2. If mJMK = (8x 13) and mLMK = (4x + 19), find x. The half-life of a radioactive kind of iodine is 12 hours. How much will be left after 24 hours,if you start with 96 grams of it? Two students are pushing a sofa across a room what is the net force applied to the sofa by the students? bill took a nap for 1 1/4 hour on friday and then took a nap for 3/4 hour on tuesday. how much longer was Bill's nap on friday? Which quadratic equation defines the function that has zeros at -8 and 6?a. x^2 + 2x - 48 = 0b. x^2 - 2x - 48 = 0c. x^2 + 2x + 48 = 0d. x^2 - 2x + 48 = 0 Which of the following variables are conserved? a. Velocityb. Accelerationc. Momentumd. Displacement can you find the limits of this Read the sentence.The media criticized Governor Dunham's callous behavior, noting that the politician regularly ignored thestruggles of the people who had voted for her.What is the definition of "callous" in this context?immatureO impoliteunenthusiasticO unsympathetic Words such as delicious, robust, and strong suggest that Whitman's speakerThe poem this is referring to is I Hear America Singing An atom with a mass number of 61 amu has 33 neutrons in its nucleus.What element is this ? What is the measure of n? Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-) [tex] please \: anyone \: help \:me \\ \\ go \: to \: my \: previous \: question \: [/tex] One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth. Please help me on this. I will really appreciate it if anyone gave me the right answer. Please and thank you. Why Did the King feel the need to control the colonist? What is the volume of the following rectangular prism? x * 0.77 = 26Solve for x.