Answer:
16=x
Step-by-step explanation:
100 points
Find the Surface area of a right rectangular pyramid 50 points for explaining in full the equation of how.
L= 7
W= 5
H= 12
100 points explaining the equation for volume too.
Step-by-step explanation for Surface Area:
So, to find the surface area, you use the formula: [tex]A=lw+l\sqrt{(\frac{w}{2})^2 +h^2 } +w\sqrt{(\frac{l}{2})^2 +h^2 }[/tex]
I'll explain what each part means and why they are like that. (btw, it would help you more if you looked at a rectangular prism I added while you read the explanation :) )
First of all, you do lw because that is the base of the right rectangular pyramid (since you're finding the surface area, you need to find the area of all the surfaces on the pyramid)
You add [tex]l\sqrt{(\frac{w}{2})^2 +h^2 }[/tex] because now you're trying to find the triangular side with the length. You multiply the length, because that's how wide the "triangle" is. You do the square root because of the pythagorean theorem (since you're using the hypotenuse times the length to find that side). The width is divided by two, because as you can see in my attachments, that's how far away the height is from the length (if you look at the base, see where the height line drops in comparison to the length). (look at my second screenshot)
You add [tex]w\sqrt{(\frac{l}{2})^2 +h^2 }[/tex] for the same reason, except dealing with the width. You're finding the side with the width. You multiply the width by the hypotenuse of the right triangle (look at the third screenshot i attached). The length is divided by two because that's the distance between the bottom of the height line to the w.
I do believe that this should explain the meaning behind each piece of the formula (I'm not sure this is what you asked for lol but it does make understanding it a little easier, I think). To get the answer, you just substitute each variable with those values. So...
[tex]A=(7)(5)+(7)\sqrt{(\frac{(5)}{2})^2 +(12)^2 } +(5)\sqrt{(\frac{(7)}{2})^2 +(12)^2 }[/tex]
A ≈ 183.3
As for the Volume:
[tex]V=\frac{lwh}{3}[/tex]. I'm not 100% on why it's divided by three, but with any volume, you're always going to end up with an answer that is in cubed units. So that explains the three variables in the numerator. I'd like to think the three just has to do with the three variables, but I don't know. Give me the points if you'd like? I don't think this is a proper explanation though.
Good luck!
Answer:
volume = 140 cubic units
area = 183.3 square units
Step-by-step explanation:
I am going to assume we are dealing with a pyramid with a rectangular base. The rectangular base has length 7 units, width 5 units, and height 12 units.
Let's do the volume first since it's simpler.
Volume:
volume of pyramid = (1/3) * (area of base) * height
volume = (1/3) * 7 units * 5 units * 12 units
volume = 140 cubic units
Now we deal with the surface area.
The total surface area of a rectangular pyramid is the sum of the lateral area and the area of the base. The area of the base is the area of a rectangle. The lateral area is the sum of the areas of the 4 triangular sides. Each two opposite sides are congruent. For the base, we have the length and width of the rectangular base, so we can find the area easily.
For the 4 triangular sides, we need to find the the height of the triangles. Since each pair of opposite faces is congruent, we have two triangles we need to find the heights for. I'll call the heights "p" and "q". We use the Pythagorean theorem to find the heights of the triangular faces.
a^2 + b^2 = c^2
(3.5)^2 + (12)^2 = p^2
p^2 = 156.25
p = 12.5
(2.5)^2 + (12)^2 = q^2
q^2 = 150.25
q = 12.25765
Area of triangle = (1/2) * base * height
For two triangles, the base is 5 and the height is 12.5.
For the other two triangles, the base is 7 and the height is 12.25765.
total surface area = area of base + 2(area of triangle with base 5) + 2(area of triangle with base 7)
A = LW + 2(1/2)(base)(height) + 2(1/2)(base)(height)
A = 7(5) + 2(1/2)(5)(12.5) + 2(1/2)(7)(12.25765)
A = 183.3 square units
What is the value of x?
Answer:
x=4
Step-by-step explanation:
<K=30 degrees so LJ=4V2
LM=JM=x
so x^2+x^2=(4V2)^2=16*2=32
2x^2=32
x^2=16
x=4
what is the equation of this line
Answer:
Step-by-step explanation:
What is the equation of this line (eg)
Write each linear equation in standard form. a) y - 5 = -3 (x + 4) b) y = 2/3 x + 4
Given the linear equation 2x + 3y = 9. Determine the slope and y-intercept of the line. ...
Graph 4x - 3y = 12 by determining the intercepts.
Graph x + 4y = 8 by determining the intercepts.
Manny has two part-time jobs. One job pays $10/hour and the other pays $16/hour. ...
Answer:
x = 0
Step-by-step explanation:
The equation of a line is shown by using the formula y = mx+b
But, in special cases like this one, where the line is completely vertical then we use the same formula but we just adjust it.
When a line is completely straight up and down the equation is x = #
Since the line is on the y-axis (or has a x value of zero) the equation is x = 0.
There is no y in this equation because the line is hitting all values of y (which means y is ∞) with only 1 value of x. (As opposed to most equations where one or multiple values of y with one value of x or vise-versa.)
hurry will give brainliest
Answer: B
Step-by-step
<2 with the underline that mean that it can go up or down q
the <2t it goes up and -4 it goes down
remember that negative it goes down the line the positive it goes up
Which relation describes the graph?
Answer:
a
Step-by-step explanation:
Sarah deposits 2,000 at a bank at an interest rate of 4.5% per year. How much interest will she earn at the end of 3 years ?
Answer:
270
Step-by-step explanation:
if you multiply 2,000 times 4.5% times 3
So the right answer is $270.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Will u b my friend
WILL GIVE BRAINLIEST FOR YES
Answer:
I'm down for a new friend
Step-by-step explanation:
sent the request
ᵤᵤ ᵧₑₛ
ᵘʳ ᵃⁿˢʷᵉʳ ʷᶦˡˡ ᵖʳᵒᵇᵃᵇˡʸ ᵍᵉᵗ ᵈᵉˡᵉᵗᵉᵈ ᵗʰᵒ
A bag contains green marbles and blue marbles, 36 in total. The number of green
marbles is 6 more than 4 times the number of blue marbles. How many green
marbles are there?
Answer:
30
Step-by-step explanation:
You first subtract 6 from 36 and then divide 30 by 5 to get 6 then multiply 6*4 then add back the 6 you originally subtracted
Jamie pays 15% of her gross wage in tax.
If her net wage is £7480
find Jamie's gross wage.
Answer:
6358
Step-by-step explanation:
15/100*7480=1122
7480-1122=6358
Write the slope-intercept form of the equation for the line.
A.)y=3x-1
B.)y=1/3x+1
C.)y=1/3x-1
D.)y=-3x-1
Answer:
A.) y=3x-1
Step-by-step explanation:
Point-slope form can be shown using the equation: y = mx+b
In this case, m is slope, and b is the y-intercept.
Slope in this graph can be found by finding the rise over the run, or the number of blocks the line moves vertically over the number of blocks the line moves horizontally. The line moves at a rate of 3 blocks up for every 1 block to the right, or 3/1. That means that the slope is 3.
The y-intercept is wherever the line crosses the y-intercept, or wherever x equals 0. This happens at y = -1.
If you plug the slope (3) and the y-intercept (-1) into the equation y = mx+b, you get y = 3x-1.
Which of the following is not a rate?
A.doing 45 crunches in 1 minute
B.paying $3.15 for 1 gallon of gas
C.folding 6 loads of laundry in 3 days
D.walking 4 miles in 1 hour
Answer:
C
Step-by-step explanation:
Usually rate is determined as a distance over time, where the time is a unit. In other words, we have "1" of the time (for example, 1 hour, 1 second, 1 gallon, etc).
Look at each answer choice:
A: doing 45 crunches in 1 minute
This is definitely a rate because the time (1 minute) is a unit.
B: paying $3.15 for 1 gallon of gas
Again, this is considered a rate because you're paying $3.15 per gallon.
C: folding 6 loads of laundry in 3 days
We can see this isn't a rate because the time is 3 days, not 1. So C is the answer.
D: walking 4 miles in 1 hour
This is a rate because our time is 1 hour.
The answer is C.
Answer:
C.folding 6 loads of laundry in 3 days
Step-by-step explanation:
folding 6 loads of laundry in 3 days means, 6/3 = 2 loads of laundry per day.
Rate is 2 per day
David is the coach of the Bingtown Cougars hockey team. There are 2 minutes left in the game they are playing and they are currently losing by 1 point. In the past, when losing by 1 point, he has pulled the goalie out of the game and replaced the goalie with a forward player a total of 21 times. When in the same position, he has left the goalie in the game 14 times.
In the situations when he has pulled the goalie, they have lost 7 times, tied 8 times, and won 6 times. In the situations when he has left the goalie in the game, they have lost 8 times, tied 2 times, and won 4 times.
Based on these numbers, if the goal is to either tie or win the game, should he pull the goalie or not?
A.
There is not enough information to determine if he should pull his goalie or not.
B.
Neither option has any advantage.
C.
David should pull his goalie.
D.
David should not pull his goalie.
Answer:
A. There is not enough information to determine if he should pull his goalie or not.
Step-by-step explanation:
Although they won/tied more when he pulled his goalie they also played it more that way. Which means they must play it more the other way to have an even amount of tests.
can i get brainilest?
evaluate the function f(x) = 5x-3
Answer:
x = 3/5 = 0.600
Step-by-step explanation:
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
4.
need help ASAP What is the perimeter oftriangle ABC?
Answer:
17
Step-by-step explanation:
.................................
The radius of a the head of a snowman is about 2/3 times the radius of the base of the snowman. If the surface area of the base of the snowman is 1800 square centimeters, what is the approximate surface area of the snowman's head?
Answer:
The approximate surface area of the snowman's head is 125.33 sq.cm.
Step-by-step explanation:
Formula of surface area =[tex]4 \pi r^2[/tex]
We are given that The surface area of the base of the snowman is 1800 square centimetres
So,[tex]4 \pi r^2 =1800[/tex]
[tex]4 \times \frac{22}{7} \times r^2 = 1800 \\r^2 = \frac{1800 \times 7}{22 \times 4}\\r=\sqrt{\frac{1800 \times 7}{22 \times 4}}\\r=11.96[/tex]
The radius of a the head of a snowman is about 2/3 times the radius of the base of the snowman
So, Radius of head = [tex]\frac{2}{3} \times 11.96 =7.97[/tex]
Surface area of snowman's head=[tex]4 \times \frac{22}{7} \times 9.97=125.33 cm^2[/tex]
Hence the approximate surface area of the snowman's head is 125.33 sq.cm.
An agriculture researcher wants to test the effect of nine soil additives by adding four at a time to different rows of the
same plant. How many different combinations can be tested?
756
126
63
Answer:
126
Step-by-step explanation:
Hope it helped :)
What is the volume of the cone.
Answer:
see below
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 5 and the height is 8
V = 1/3 pi ( 5)^2 (8)
V =200/3 pi ft^3
We can approximate by by 3.14
V =209.33333 ft^3
Or by using the pi button
V =209.4395102 ft^3
The sum of three times a number and three less than the number is thirteen.
(As an equation)
Answer:
3+5x5-3=13
Step-by-step explanation:
Help me please!! I will mark Brainliest!!!!
Answer:
D
Step-by-step explanation:
42 minus 31 is 11
so 11/42 = /100
Answer:
11/42 = x/100
Step-by-step explanation:
42 students and 31 are girls
42 -31 = 11 that is the number of boys
boys / total = x/100 to find the percent
11/42 = x/100
Stephanie is comparing web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but no membership fee. Which of the following shows the correct equation to find how many songs Stephanie would have to buy to spend the same amount on both web sites?
Answer:
0.50x+5=Website A
1.00x=Website B.
Step-by-step explanation:
She would need to buy 10 songs to have them equal the same.
In the drawing, s>t. Which statement about the volumes of the two cylinders is true?
a.-The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.
b.-The volume of the right-hand cylinder is greater than the volume of the left-hand cylinder.
c.-The two volumes are equal.
d.-There is not enough information. The actual measurements are not given.
Answer: A
Step-by-step explanation:
The correct statement about the volumes of the two cylinders is,
⇒ The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
In the drawing,
s > t
Where, 's' is radius of left hand side cylinder and 't' is radius of right hand side cylinder.
We know that;
Volume of cylinder = πr²h
Hence, Volume is directly proportional to radius.
Larger the radius gives large Volume.
Hence, WE get;
The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.
Thus, The correct statement about the volumes of the two cylinders is,
⇒ The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
What is the area of the trapezoid shown below?
Answer:
The answer is the first one, 132 square centimeters
Mr. Allen is planning a twenty question quiz worth 100 points. The quiz will contain True/False questions worth 3 points each and multiple choice questions worth 11 points each. a) How many multiple choice questions will be on the quiz? b) How many True/False questions will be on the quiz?
Answer:
a)5 b)15
Step-by-step explanation:
5 times 11=55
15 times 3 is 45
add together is 100
5+15 is 20 questions
multiply.
1 1/5x6
answer with a mixed number in simplest form.
Answer:
13.2
Step-by-step explanation:
You make the six into a fraction and then you multiply straight through
Answer:
[tex]=7\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{5}\cdot \:6\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{1}{5}=\frac{6}{5}\\1\frac{1}{5}\cdot \:6\\1\frac{1}{5}=\frac{1\cdot 5+1}{5}=\frac{6}{5}\\\frac{6}{5}\cdot \:6\\\mathrm{Convert\:element\:to\:fraction}:\quad \:6=\frac{6}{1}\\=\frac{6}{5}\cdot \frac{6}{1}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{6\cdot \:6}{5\cdot \:1}\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:6=36\\=\frac{36}{5\cdot \:1}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:1=5\\=\frac{36}{5}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{36}{5}=7\frac{1}{5}\\=7\frac{1}{5}[/tex]
Caley builds a rectangular prism using 18 cubes that each measure 1 centimeter on each side. What could be the dimensions of her rectangular prism?
Answer:
18 i think
Step-by-step explanation:
Answer:
length: 2cm width: 3cm height: 3cm
Step-by-step explanation:
The volume has to equal 18 since we have 18 cubes measuring 1 cm
length: 2cm width: 2cm height: 3cm 2*2*3 = 12 not possible answer
length: 2cm width: 3cm height: 3cm 2*3*3 =18 answer
length: 3cm width: 3cm height: 3cm 3*3*3 27 not possible answer
length: 6cm width: 6cm height: 6cm 6*6*6 = 216 not possible answer
What is the answer, please help!
What’s the answer for this? I’ve been stuck
Answer:
Step-by-step explanation:
compare with x²+y²+2gx+2fy+c=0
center is (-g,-f)
radius=√(g²+f²-c)
2g=-14
g=-7
2f=-12
f=-6
center is (7,6)
radius=√((-7)²+(-6)²-76)
=√(49+36-76)
=√(85-76)
=√9
=3
PLEASE HELP!! WILL MARK BRAINLIEST!!
Answer:I believe the answer would be undefined because it has no slope.
Step-by-step explanation:
Answer To:
PLEASE HELP!! WILL MARK BRAINLIEST!!
Step-by-step explanation:
Unidentified
There are 2 brownie for 3 students. What is the amount of brownie that each student receives?
Answer:
0.66 repeating (2/3)
Step-by-step explanation:
Each student should receive 2/3 of a brownie, because if you do 0.66 times 3, (multiplying the number of students by the portion of brownie they receive, you get 1.98. Rounding up to 2, this will give each student the fairest amount of brownie.