A slice is made parallel to the base of a right rectangular pyramid, as shown.

What is the area of the resulting two-dimensional cross-section?

Enter your answer in the box.


in²

A Slice Is Made Parallel To The Base Of A Right Rectangular Pyramid, As Shown.What Is The Area Of The

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Answer 1
The answer is 5 I just took the test

Related Questions

Solve the equation using square roots. 7x2 + 6 = 13

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7x² +6=13
7x²=7
x²=1
x=1 or -1

Given the equation is 7x² + 6 = 13.

Solving the quadratic equation using square roots :-

7x² + 6 = 13

Step 1 :- subtracting 6 from both sides

7x² + 6 - 6 = 13 - 6

7x² = 7

Step 2 :- Dividing by 7 on both sides

[tex] \frac{7x^{2}}{7} = \frac{7}{7} \\\\
x^{2} = 1 [/tex]

Step 3 :- Taking square root on both sides

[tex] \sqrt{x^{2}} = \sqrt{1} \\\\
x = -1 \;\;OR\;\; x=1 [/tex]

So, x = -1 or x = 1 is the final answer.

Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minutes? What is the interpretation?

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1500 - 785 = 715 
number of minutes per month - number of minutes used = number of minutes left.

PLEASE HELP I WILL FAIL MATH I will give you brainest

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A- Part
B- $8
You can do 32 x .25 or 32/4

Find the general solution to y′′+7y′=0y′′+7y′=0. give your answer as y=..

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Try this option:
1. characteristic equation is:
a²+7a=0;
[tex] \left[\begin{array}{ccc}a=0\\ a=-7\end{array}\right[/tex]
2. y=C₁+C₂e⁻⁷ˣ.

Use the distributive property to simplify the expression. 8(3 + 4) = 24 +

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Using the distributive property is done by multiplying the factor (outside the parentheses) to each term within it. In this case, 8(3 + 4), we multiply the 8 by 3, and then add it to the product of 8 x 4:
8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.
The answer is 8(3 + 4) = 24 + 32

the distance around a circle (the circumference) is about 3.14 times the diameter. If a circulares table has a diameter of 3 feet What is the circumference can somebody please help me I'm stuck xD

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Well.
The relation between the circumference of a circle and its diameter is described by the following equation: [tex] Thecircumference=\pi d[/tex]
where d is the diameter of the circle.
For a giving diameter (d=3ft), we can substitute in the previous equation 
The circumference of a circule= 3.14*3 (you can use ur calculator to find the exact number i guess it will be about 9.42 ft)

I hope it helps.

NEED HELP!!!!!!!!!!!!!!!!!!!!FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! kind like..........RIGHT
NOW!!!!!!!!!!!!!!!!!!!!!!!!!
The area of a circle is 113.04 in. 2. What is the radius of the circle? 36 inches 18 inches 12 inches 6 inches

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the formula for the radius is

[tex] \sqrt{ \frac{a}{\pi} } [/tex]
so the answer would be 6 inches
the answer to this question would be 6 inches 

How many triangles are in a dodecagon

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A dodecagon has 12 triangles

If it takes 6.7 lb of seed to plant one acre of grass how many acres can be planted with 8.04 pounds of seed?

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This is a proportion problem. 6.7lbs to one acre as 8.04 lbs is to x acres.

x= # lbs of seed to cover 8.04 acres


6.7/1=8.04/x
cross multiply

(6.7*x) =(1*8.04)
6.7x=8.04
divide both sides by 6.7

x= 1.2 pounds needed to cover 8.04 acres

Hope this helps! :)

Answer:

1.2 acres of grass

Step-by-step explanation:

It takes 6.7 lb of seed to plant one acre of grass. The ratio of interest is 6.7 lb seed:1 acre of grass. We can find the acres of grass that can be planted with 8.04 pounds of seed using a conversion fraction.

8.04 lb × (1 acre/6.7 lb) = 1.2 acre

We can plant 1.2 acres of grass with 8.04 pounds of seed.

Convert 30 gallons to liters using an equivalent rate

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113.62 liters is 30 gallons using equivalent rate
30 gallons is 113 liters

Find the fifth term of an=2(-1) n

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The 5th answer in this series would be -2. 

We know this because in any problem where we have a base (2) being multiplied by a -1^n power, the numbers will simply alternate between positive 2 and negative 2. All of the even powers will be positive 2 and all of the odd numbers will be negative 2. See the work below. 

2(-1)(-1)(-1)(-1)(-1)
2 (1)(-1)(-1)(-1)
2(1)(1)(-1)
2(-1)
-2

So since 5 is odd, the answer is negative 2. 

Answer:

The fifth term of [tex]a_n = 2(-1)^n[/tex] is, -2

Step-by-step explanation:

Given the sequence:

[tex]a_n = 2(-1)^n[/tex]             .....[1]

where,

n is the number of terms.

To find the fifth term of the given sequence:

Substitute n = 5 in [1]  we have;

[tex]a_5 = 2 \cdot (-1)^5[/tex]

⇒[tex]a_5 = 2 \cdot -1 = -2[/tex]

Therefore, the value of fifth term of [tex]a_n[/tex] is, -2

Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)

Answers

Answer: [tex]R = 16.83 \text{ ohms}[/tex]

Explanation:


The resistance of an aluminum wire is given by

[tex]R = \frac{\rho L}{A} [/tex]

where:

[tex]R = \text{ resistance of the wire} \\ \rho = \text{resistivity of the aluminum} = 2.65 \times 10^{-8} \text{ ohm-meters} \\ L = \text{length of the wire} = 2 \text{ miles} \\ A = \text{cross-sectional area of the wire} [/tex]

Since the resistivity is in ohm-meters, we need to convert the length to meters and the area to square meters. But we need to convert mils to cmils first to get the cross sectional area of the wire.

To convert mils to cmils, we get the square of the diameter of the circle in mils because 1 cmil (or circular mil) is the area of the circle whose diameter is 1 mil. So, since the diameter of the wire is 100 mils, the cross-sectional area of the wire in cmils is given by:

[tex]\text{Area in cmils = }d^2 = 100^2 = 10,000 = 10^4 \text{ cmils}[/tex]

Note that we convert the area in terms of scientific notation because the resistivity is expressed in scientific notation and it is easier to multiply very large and very small numbers if they are expressed in scientific notation.

Now, since [tex]1 \text{ cmil} = 5.067 \times 10^{-10} \text{ square meters}[/tex], the cross sectional area of the wire is equal to 

[tex]10^4 \text{ cmils} = (10^4 \text{ cmils} )\left ( \frac{5.067 \times 10^{-10} \text{ square meters}}{1\text{ cmil}} \right ) [/tex]
[tex]10^4 \text{ cmils} = 5.067 \times 10^{-6} \text{ square meters}[/tex]

Since 1 mile = 1,609.344 meters, 2 miles = 2 × 1,609.344 meters = 3,218.688 meters = [tex]3.218688 \times 10^3 \text{ meters}[/tex]. . 

Hence the resistance is given by

[tex]R = \frac{\rho L}{A} \\ R = \frac{(2.65 \times 10^{-8} \text{ ohm-meters}) (3.218688 \times 10^3 \text{ meters})}{5.067 \times 10^{-6} \text{ square meters}} \\ \boxed{R = 16.83 \text{ ohms}}[/tex]


 
Final answer:

This answer calculates the resistance of an aluminum wire of specific dimensions. It begins by determining the cross-sectional area of the wire, then uses a formula incorporating resistivity, length, and area to calculate resistance. The final resistance of the wire is approximately 0.037 Ohms.

Explanation:

To calculate the resistance of a piece of aluminum wire, we first need to figure out the cross-sectional area of the wire. As given, the diameter of the wire is 100 mils. To convert mils to cmils (circular mils), we square the diameter, thus 100^2 = 10,000 cmils is the cross-sectional area.

Next, we use the formula for resistance: R = ρL/A, where R is the resistance, ρ (Rho) is the resistivity of the material (aluminum, in this case), L is the length in feet, and A is the cross-sectional area in circular mils (cmils).

We need to convert the length from miles to feet (1 mile = 5,280 feet), so 2 miles = 10,560 feet. The resistivity of aluminum at 68°F is approximately 10.75 nanoOhms*meter, to convert this to Ohms*foot we multiply by 3.281, so ρ becomes approximately 35.28 nΩ/ft.

The resistance R can then be calculated as follows: R = ρL/A = (35.28 x 10^-9) x 10,560 / 10,000 = 0.037 Ohms, rounded to two decimal places.

Learn more about Wire Resistance here:

https://brainly.com/question/30799966

#SPJ3

f (x)-x^2+6x-7 at x=2

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Consider the vertex form of the parabola.y=a(x+h)2+ky=a(x+h)2+kRewrite the function in terms of xx and yy.y=x2+6x−7y=x2+6x-7Complete the square on the right side of the equation.(x+3)2−16(x+3)2-16Reorder the right side of the equation to match the vertex form of a parabola.y=(x+3)2−16y=(x+3)2-16Since 33 does not contain the variable to solve for, move it to the right side of the equation by subtracting 33 from both sides.x=−3x=-3Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk.a=1a=1h=−3h=-3k=−16k=-16Since the value of aa is positive, the parabola opens up.Opens UpFind the vertex (h,k)(h,k).(−3,−16)(-3,-16)Find pp, the distance from the vertex to the focus.1414Find the focus.(−3,−634)(-3,-634)Find the axis of symmetry by finding the line that passes through the vertex and the focus.x=−3x=-3Find the directrix.y=−654y=-654Use the properties of the parabola to analyze and graph the parabola.Direction: Opens UpVertex: (−3,−16)(-3,-16)Focus: (−3,−634)(-3,-634)Axis of Symmetry: x=−3x=-3Directrix: y=−654

I sorta shortened the steps a bit if you need me to explain any more steps I will just ask.
I am sure you probably went over some of this in your class that is why I skipped a few steps so you would at least learn a little bit hehe.

I really hope this helps you.

 

simplify the expression using the distributive property 42 + 7a

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42+7a= 7(6+a)
By noticing they both have a factor of 7, I was able to find the equation.

evaluate if hj + h if h = 6 and j = 8

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The answer to your problem is 54.
6 multiplied by 8 plus 6-
8 multiplied by 6 is 48
48 plus 6 is 54

plz help ill give you brainlist

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h= # hours rented

EQUATION:
$13.25>$1.75h + $8 fee

subtract 8 from both sides

5.25>1.75h
divide both sides by 1.75

3>h

He can rent the bike for 3 hours and not spend more than $13.25

Hope this helps!  :)

standard linear equation:
y=mx+b

Initial cost=initial value = b = 8  (Q did not say $8 is for any rental time).
additional cost per hour = m = 1.75

Equation becomes
y=1.75x+8

If the maximum charge is y=13.25, then we can solve for x, the maximum number of hours to be rented,

13.25=1.75x+8
Subtract 8 from each side
13.25-8=1.75x
5.25=1.75x
divide by 1.75
5.25/1.75=x
x=3

Connor can rent the bike for at most 3 hours.

The difference between two numbers is 66. The sum of the two numbers is 88. Find the greatest number

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It is going to be a greater number than 66. And a number less than 88. Hope this helps.

kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?

Answers

5 quarters and 8 dimes = $2.05

Answer:

Kevin has 5 quarters and 8 dimes.

Step-by-step explanation:

First of all, a quarter is worth 0.25 dollars, while a dime is worth 0.10 dollars. As Kevin has 13 coins in his pocket which in sum make $2.05, and all of them are either dimes or quarters, in order to determine how many dimes and quarters does he have, we have to take into account that he's got an odd number of quarters, since the final amount of money sums $2.05, that is, it ends in 5.

Therefore, if he had 1 quarter and 12 dimes (0.25 + 12x0.10 = 1.45), he would have $1.45.

If he had 3 quarters and 10 dimes (0.25x3 + 10x0.10 = 1.75), he would have $1.75.

If he had 5 quarters ahd 8 dimes (0.25x5 + 8x0.10 = 2.05), he would have $2.05, so this is the correct option.

In the diagram, MQ = QP = PO = ON.



If NP is greater than MP, which must be true?

Segment OP is longer than segment MQ.
Segment MN has the same length as segment MP.
The measure of angle Q equals the measure of angle O.
Angle O is larger than angle Q.

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 MQ = QP = PO = ON

If NP is greater than MP

answer
Angle O is larger than angle Q.

Answer:The measurement of angle O is greater than angle Q is the correct statement.

Explanation: Since, According to the question,  MQ = QP = PO = ON and MP is greater than NP.

Then, In first option, segment OP is longer than segment MQ is false because OP=MQ.

In second option, MN=MP can not be possible because NP is greater than MP.

In third option, The measure of angle Q equals the measure of angle O also can not be possible because MN is not parallel to QO.

But, In fourth option, Since MP is greater than NP thus NO makes larger angle than MQ.

Thus, fourth option is correct.


a collection of dimes and nickels is worth $8.40 there are 106 coins how many of each are there

Answers

There are 62 dimes and 44 nickels.

N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44

What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 9.

Answers

we have that

[the area of the trapezoid]=[area of rectangle]+2*[area of triangle]
[the area of the trapezoid]=[10*9]+2*[9*9/2]
[the area of the trapezoid]=[90]+2*[40.5]= 171 units²

see the attached figure

the answer is 171 units²
171 I think I need help too......

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?

Answers

The probability that a spinner with 14 equal areas lands on a multiple of 5 or a multiple of 2 is 4/7, after identifying the unique numbers from 1 to 14 that fit the criteria and dividing by the total number of possible outcomes.

The student is asking about the probability of an event occurring after spinning a spinner with 14 equal areas numbered 1 through 14. Specifically, the question seeks the probability that the result is either a multiple of 5 or a multiple of 2 when the spinner is spun once.

To solve this, first identify the multiples of 5 and 2 between 1 and 14: for 5, the multiples are 5 and 10; for 2, the multiples are 2, 4, 6, 8, 10, 12, and 14. Here, the number 10 is a multiple of both 5 and 2, so it should only be counted once. In total, there are 8 unique numbers that are multiples of 2 or 5 on the spinner. Since there are 14 possible outcomes, the probability is:

Probability = Number of favorable outcomes / Total number of outcomes = 8 / 14 = 4/7.

Thus, the probability that the spinner lands on a multiple of 5 or a multiple of 2 is 4/7.

Japan accounts for about 5.4% of the world's petroleum consumption. Write this percent as a fraction.

Answers


The answer is:   " [tex] \frac{27}{500} [/tex] "  .
________________________________________________________

5.4 % = 5.4 / 100 = 54/1000 = (54÷2) / (1000÷2) =  " [tex] \frac{27}{500} [/tex] "  .

OR:

5.4 % = 5.4 / 100 = 5.4 ÷ 100 = 0.054 = 54/1000 = (54÷2) / (1000÷2) =
 
    " [tex] \frac{27}{500} [/tex] " .
________________________________________________________

"The correct fraction representing Japan's petroleum consumption as a percentage of the world's total is [tex]\(\frac{5.4}{100}\).[/tex]

To express the given percentage as a fraction, one must divide the percentage by 100, since percentages are parts per hundred. T

hus, 5.4% can be written as a fraction by placing 5.4 over 100, which gives us [tex]\(\frac{5.4}{100}\)[/tex].

Finally, this fraction can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case, yielding the simplified fraction [tex]\(\frac{27}{500}\).[/tex]

When reduced to a fraction without a decimal,  [tex]\(\frac{27}{500}\)."[/tex]

Please help me with question 6

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Your answer choices are cut off. Only A and B are showing. Both A and B are true, so they are not the answer. A is true because the midsegment is always half that of the parallel side. Choice B is true because of similar triangles leads to congruent corresponding angles which means the sides are parallel. 

The answer is either C or D. Choice C seems to show up but only partially. Choice D seems to be completely left out for some reason. Please repost with the answer choices.

Divide and simplify. 32x9y2 2xy-2

Answers

Is it one problem or 2?

True or false ? The polynomial below is a perfect square trinomial of the form A2-2AB+B2 4x2-16x+16

Answers

True

4x^2 -16x +16 = (2x -4)^2

A = 2x
B = 4

6 identical toys 1.8kg. B) what is the weight of one toy? give your answer in grams. C) what is the weight of 4 toys? give your answer in kilograms.

Answers

B=300grams
C=1.2Kg or 1200grams

Total weight of six identical toys = 1.8 Kg

Therefore, the weight of one such toy = 1.8 kg/ 6 = 0.3 kg

Further, 1 kg = 1000 gms

Answer to Ques B-

Weight of one toy in grams = 0.3 * 1000 grams

= 300 grams

Answer to Ques C-

Weight of 4 toys in kilograms = 0.3 * 4 kilograms

= 1.2 kilograms

Hope this helps..!!

Thank you :)

Chen has an unlimited supply of square tiles. She has 1 cm x 1 cm tiles, 2 cm x 2 cm tiles, 3 cm x 3 cm tiles, and so on. Every tile has integer side lengths. A rectangular table top with an 84 cm x 112 cm surface is to be completely covered by identical square tiles, none of which can be cut. Chen wants to use the minimum number of identical tiles to complete the job in order to reduce her costs. Determine the minimum number of identical tiles required to completely cover the table top.

Answers

84 = 2 × 2 × 3 × 7
112 = 2 × 2 × 2 × 2 × 7
Highest Common Factor of 84 and 112 = 2 × 2 × 7 = 28

So the tiles should be 28 x 28

84 ÷ 28 = 3
112 ÷ 28 = 4

Total tiles needed = 3 x 4 = 12 

Ans: 12 tiles

The minimum number of identical square tiles required to completely cover an 84 cm x 112 cm tabletop is 12 tiles, each with side lengths of 28 cm.

To determine the minimum number of identical square tiles required to completely cover a rectangular tabletop with dimensions 84 cm x 112 cm, we need to find the greatest common divisor (GCD) of the two side lengths. This is because using tiles that match the GCD will ensure that they fit perfectly across both lengths and widths without needing to cut any tiles.

The GCD of 84 and 112 is 28. Therefore, the side length of the square tile that Chen should use is 28 cm x 28 cm. To find the number of tiles needed, we then divide the area of the tabletop (which is 84 cm x 112 cm or 9408 square cm) by the area of one tile (which is 28 cm x 28 cm or 784 square cm).

The calculation is as follows: 9408 square cm / 784 square cm = 12. Therefore, Chen needs a total of 12 tiles of 28 cm x 28 cm to cover the entire tabletop.

There are 203 apples in a basket. How many children can share these apples equally? How many apples would each child get?

Question#1: All possible numbers of children in ascending order are:

Question#2: All possible numbers of apples in descending order are:

please help!!!!!!!!!

Answers

Q.1    1,7,29,203
Q.2    203,29,7,1

Answer:

Question 1: 1, 7, 29, 203

Question 2: 203, 29, 7, 1

Step-by-step explanation:

QUICKK EXPERTS/ACE/GENIUSES

Answers

The answer is C because a translation is just moving the object up, down, left, or right. In the other three images, the picture is either reflected or rotated, which is not a translation.
the correct answer would be C.
Other Questions
help:/Determine if the number is written in scientific notation. If not explain.1. 4.8x100^7No; it is not written as a number times a power of 10yes; the number is written in scienfic notationno; the first factor is not a number between 1 and 102. 5.1x10^-8yes; the number is written in scienfic notationno; the first factor is not a number between 1 and 10no; it is not written as a number times a power of 10 if mei has already earned 30 points, write and solve an addition equation to find the number of points she still needs What role did the Enlightenment play in the development of new economic theories during the Industrial Revolution?A.Enlightenment ideas led to the development of capitalism, but socialist ideas were unrelated to any Enlightenment reasoning.B.Economists believed that new theories had to be based upon Enlightenment ideas, but most rejected the idea of unregulated exchange.C.As economists tried to understand the changes caused by the Industrial Revolution, they rejected outdated Enlightenment ideas such as natural laws.D.In an attempt to better understand the changes caused by the Industrial Revolution, economists applied reason and the scientific method to develop new theories. A dozen long stem red roses cost $57 what is the unit rate of for roses penny and her two friends each ate 1/6 of cake . how much cake did they eat Which of the following situations is accurate regarding the transfer of heat? Thermal energy from the refrigerator is transferred to a hot pie. An ice cube loses heat to a warm glass of water. A warm cup of tea transfers heat to cold hands. An open door on a freezer cools a warm room. A gene has the base sequence of CGT AT gave an example of a frame shift mutation on this gene I have a Brainliest reward Whats the answer? Thank You Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?A) (427)(88.25)B) (427)(88.25)C) (427)+(88.25)D) 42788.25 Marla, a white woman, is married to an african-american man and has a biracial son. she works as a counselor for a large private school. one day, marla's husband and son stop by the school to pick her up after work. a few days later, marla is fired from her job without any reasonable cause. marla believes that the termination is based on her employer's reaction to her husband and son. thus, marla has a claim under title vii of the civil rights act of 1964 based on: A boat in calm seas travels in a straight line and ends the trip 16 km west and 50 km north of its original position. Find the direction of the trip to the nearest tenth of a degree. In the 1997 reno v. aclu case, the u.s. supreme court unanimously voted to strike down the anti-indecency provisions of the communications decency act (cda) because they violated the: Why was king leopold 2 interested in colonizing Africa Some of the Danes want to make Laertes king. true or false A group of researchers wanted to determine whether children would behave more aggressively after watching violent television programming. half the children in the study watched a violent television show; the other children watched a non-violent program. in this study, the control group is the children who Would I want to use the word "finesse", in regards to showing skill, in an essay? A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots distributions is true?The degree of overlap between the two distributions is moderate.The degree of overlap between the two distributions is high.There is no overlap between the two distributions.The degree of overlap between the two distributions is low Nick predicts that wax has a higher melting point than chocolate. How can Nick test his prediction? Ravi is driving 440 miles to visit his grandma. He drives at a rate of 55 miles per hour. How many hours will it take him to get 34 of the way there?