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Answers
Answer:
Steps To Find The Distance Between Two Planes
Write equations in standard format for both planes.
Learn if the two planes are parallel.
Identify the coefficients a, b, c, and d from one plane equation.
Find a point (x1, y1, z1) in the other plane.
Substitute for a, b, c, d, x1, y1 and z1 into the distance formula.
Step-by-step explanation:
Related Questions
Which expression represents the volume of the prism? One-halfx3 (one-half x) cubed Five-halvesx3 (Five-halves x) cubed
Answers
Answer:
Volume = ½x³ units.
Step-by-step explanation:
From the image, we can deduce the following;
Length = x
Breadth = x
Height = ½x
To find the volume of prism;
Mathematically, the volume of a prism is given by the formula;
Volume of prism = length * breadth * height
Substituting into the formula, we have;
Volume of prism = x * x * ½x
Volume = x² * ½x
Volume = ½x³ units
Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
Find the area of each figure and round to the nearest tenth if necessary
Answers
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
7. What is the slope of a line that passes through the
origin and (-3,-2)?
Answers
Answer:
Step-by-step explanation:
( 0, 0) and (-3 , -2)
Slope = Change in y ÷ change in x
[tex]= \frac{-2-0}{-3-0}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}[/tex]
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answers
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *
Answers
Answer:
B
Step-by-step explanation:
(x-3)(x+6)
x²+6x-3x-18
x²+3x-18
Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts. Use a counter example to explain who is correct. Please I need your help. If you help you are nice and god will protect you forever.
Answers
Answer:
Nadia
Step-by-step explanation:
6/8 is 3/4 and both are 75% of a pizza but, the eighths of a pizza is a smaller slice of pizza.
4/4 is four slices of pizza
8/8 is eight slices of pizza
They are different amounts.
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Not the link and if you dont answer, james charles will kiss you in the bed tonight.
Answers
A veterinarian office conducted a survey of the weight of dogs that came in for physicals. 55, 37, 8, 50, 60, 50, 48 Find the outlier:
Answers
Answer:
8
Step-by-step explanation:
The outlier is the puece of data that is very different from the rest. If all of the numbers in this data were to be put on some sort of visualization, most of the numbers would be in a clump, while the 8 would be far from the clump.
the answer is 8 because when you plot the data it is the one really far away that skews the data
At the end of a party, there was a 1/2 pizza left over. 7 friends decided to divide the leftover pizza equally. What fraction of the whole pizza did each friend have?
Answers
Answer:
Each friend has 1/28 of the whole pizza.
Step-by-step explanation:
1/2 ÷ 7/1 = 1/14
1/14 ÷ 2 = 1/28
please help no links thank u :)
Answers
Answer:
question wdym by links?
Step-by-step explanation:
Will get brainliest if correct
Answers
Answer:
half
Step-by-step explanation:
Write an expression, in its simplest form, for the volume of this cuboid
Answers
Answer:
[tex]V=10x^2+35x+15[/tex]
Step-by-step explanation:
Given that,
Length = (2x+1)
Width = (x+3)
Height = 5
We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :
[tex]V=lbh[/tex]
So,
[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]
So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].
Choose a positive number. Using this number as
the base, evaluate it when the exponent is 3,0,
and -2. Show all work.
Answers
Answer:
Step-by-step explanation:
Choose 3.
3^3 = 27;
3^0 = 1; and
3^(-2) = 1/9
I’m about to spam questions if you can answer them please do .
Answers
Answer:
id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
90 plus 40 ,then you subtract it from 180
5. (5 points) You have a jar full of jelly beans. You will randomly pick 2 jelly beans without replacement.The probability that you choose 2 green jelly beans is 14/95 and the probability of drawing one green jelly been is 2/5 . what is the probability of picking a second green, given the first was green?
Answers
Answer:
7/19
Step-by-step explanation:
In order to find the probability that two events happen in a sequence you simply have to multiply the probability of each individual event together. Since the probability of the sequence is given to us as well as the probability of drawing the first green jelly bean, this means we need to divide the first probability by the probability of the sequence to get the probability of the second event. Basically, reversing the process. Dividing two fractions, we simply divide the numerators by each other and then the denominators by one another.
[tex]\frac{14 / 2}{95 / 5} = \frac{7}{19}[/tex]
Therefore, the probability of picking the second green jelly bean is 7/19
Martha ordered 3 cheesecakes. She will cut each cake into fourths. How many pieces of cake will she have?
Answers
Plz help!! 10 points
Answers
Answer:
The answer is the second option. x = -5.873 , x = 1.873
Step-by-step explanation:
1. add 11 to both sides of the equation
x^2 + 4x = 11
2. find a value that is equal to the square of half of b
(b/2)^2 = (2)^2
3. add the term to each side of the equation
x^2 + 4x + (2)^2 = 11 + (2)^2
4. simplify the equation
x^2 + 4x + 4 = 15
5. factor the perfect trinomial square into
(x + 2)^2 • (x + 2)^2 = 15
6. solve the equation for x
x = 1.873 , x = -5.873
HOPE THIS HELPS!!
☆☆ plz mark as brainliest ☆☆
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50
Answers
Answer:
b
Step-by-step explanation:
using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answers
Answer:
.7
Step-by-step explanation:
what type of association is there ??
Answers
hi i just need some points rq tyStep-by-step explanation:
*update* Don't answer, I solved it already.
1) Given the equation y = 35(0.57)^x
a) Does this equation represent growth or decay? ______Decay_________
b) What is the rate of growth or decay? _______43%________ (in percent)
1-0.57=0.43 100x0.43=43%
c) What is the initial value? _____35________
d) Evaluate for x = 3
y=(35)(0.57)^(3)
=(35)(0.185193)
=6.481755
Answers
Answer:
1) Given the equation y = 35(0.57)^x
a) Does this equation represent growth or decay? ______Decay_________
b) What is the rate of growth or decay? _______43%________
1-0.57=0.43 100x0.43=43%
c) What is the initial value? _____35________
d) Evaluate for x = 3
y=(35)(0.57)^(3)
=(35)(0.185193)
=6.481755
Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c
Answers
Answer:
ab=4c
Step-by-step explanation:
Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.
Answer:
ab=4c
Step-by-step explanation:
Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:
Say you have a x b = 5 x 5c
It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!
You put $200 in a savings account. The account earns 2% simple interest
per year. What is the interest earned after 5 years? (*hint: just the
interest, NOT the total)
Use the formula I = p.r.t
Answers
Answer:
interest total after 5 years is $20.82
Step-by-step explanation:
3.2 Simplify the following
3.2.1 -2+3(1 - 4) - 2
Answers
Answer:
[tex]-13[/tex]
Step-by-step explanation:
[tex]-2+3(1-4)-2[/tex]
Simplify:
[tex]-2+3(1-4)-2\\-13[/tex]
-13 is your final answer!
What is the equation of the line shown in the graph?
Answers
Answer:
-1/5
Step-by-step explanation:
I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.
Your answer would be: y = -1/5x + 3 [if your question is asking for the slope intercept form]
OR
Your answer would be: -1/5 [if your question is asking for just the slope]
Write this word sentence as an equation. 82 is the difference of a number b and 24
Answers
Answer:
106 - 24 = 82
Step-by-step explanation:
b = 106, solve 106 - 24 and you get 82.
Hope this helped.
Answer:
b/24=82
Step-by-step explanation:
Since the difference of an equation is the outcome of division we place 82 as the answer.
Also, since 82 is greater than 24 we can assume that the variable "b" is larger than both 82 and 24.
la suma de los cuadrados de dos numeros
Answers
There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?
PLEASE HELP ASAP
Answers
Answer:
11175Step-by-step explanation:
Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1 (with person 150)Person 150 ... none (already had 149 handshakes)Total handshakes:
1 + 2 + ... 149 = 149(1 + 149)/2 = 11175If Savannah increases her protein intake from 45g to 54g in order to stay competitive in volleyball. What is the percentage increase of her protein intake?
Answers
3a=a+36 find the value of a
Answers
Answer:
a=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Step 1: Write out your equation
3a=a+36
Step 2: Subtract a on both sides
2a=36
Step 3: Divide by 2 on both sides
a=18
Hope I helped