Answer:
Step-by-step explanation:
Find the surface area of the following figure.
Answer:
[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]
Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .
[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]
[tex]\rule{200}2[/tex]
Hence the TSA of cuboid in terms of lenght and breadth is :-
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]
What is the slope of the line that goes through (11,2) and (8,-10)
some body help me for find the answer thank you
Answer:
Step-by-step explanation:
As similar triangle hence their correspondiing sides will be proportional,
let the side we want to know is x,
18/x = 11.2/40
x = 18*40/11.2
x= 64.3
what is the y-intercept of this quadratic?
Answer:
(0,8)
Step-by-step explanation:
The line crosses the y axis at (0,8)
The usual price of a sweatshirt is $18, what is its sale price?
Answer:
I feel like there is more to that question can you put the whole question
10 x to the 5th power
Answer:
I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be
100,000 if it is 10 to the 5th power
If it is 10x to the 5th power then it's 100,000x
Step-by-step explanation:
I hope that helps :) explanation and answer is up!
Answer:
100000x
Step-by-step explanation:
When you do anything to a positve power, the decimal point goes to the right, if its negative to the left
Round each mixed number to the nearest whole number and then estimate the difference.
9 5/12- 3 4/5
9 5/12- 3 4/5
113/12-18/5
(113×5-18×12)/60
349/60
5 49/60
What is the factored form of the polynomial?
x² - 122+27?
(x + 4)(x + 3)
(x - 4)(x+3)
(x + 9)(x + 3)
O (x - 9)(x-3)
Answer:
x^2-95
Step-by-step explanation:
Answer:
(x - 9)(x - 3).
Step-by-step explanation:
x^2 - 12x + 27.
We need 2 numbers whose product is +27 and whose sum is -12.
They are -9 and -3 so the answer is:
(x - 9)(x - 3).
cuál es el resultado de multiplicar (2x-5) (3x+3)
Answer:
6[tex]x^{2}[/tex]-9x-15
Step-by-step explanation:
Answer
Step-by-step explanation:
6x^{2} +6X-15X-15
=6x^{2}-9X-15.
The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.
Answer:
11 ;
Step-by-step explanation:
Given the data:
30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31
Number of classes = 5
Class width : Range / number of classes
Class width = (maximum - minimum) / 5
Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11
For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram
Kindly check attached picture
Compare 8 and -11. Which of the following is true?
O A. 18> T-111 and 8 < -11
B. 188 = 1-11 and 8 >-11
C. 18[<1-11 and 8 >-11
D. 18] > 1-11 and 8 >-11
please help
Identify the end behavior that goes with each function.
Answer:
Step-by-step explanation:
Question
Identify the end behavior that goes with each function.
Hold on, our servers are swamped. Wait for your answer to fully load.
Solve:
Write your answer in the following format:
(x,y)
with no spaces.
Answer:
it 10 because if x =9 then y=10
A typist can type 1800 words in 1 hour.Find the number of words that he can type per minute
Answer:
1800 words = 1 hour
1800 words = 60 minutes
Divide by 60: 30 words per minute.
Let me know if this helps!
Answer:
The other person is correct
Give them brainliest :)
Step-by-step explanation:
Posted on: 2-24-2021 at 8:55am
Positive quote of the day: “Every day may not be good... but there's something good in every day.”
Will give Brainliest What is the graph of the equation y=-1/4+2?
Answer:
Step-by-step explanation:
Here's the graph
Does that help?
Answer: answer in picture
Step-by-step explanation:
helphelphelphelphelphelphelphelphelphelphelphelphelp
Step-by-step explanation:
just subtract everything
Solve for X
Can you please help
Answer:
x = 10
Step-by-step explanation:
[tex]5x + 19 = 7x - 1 \\ (corresponding \: \angle s) \\ \\ 5x - 7x = - 1 - 19 \\ \\ - 2x = - 20 \\ \\x = \frac{ - 20}{ - 2} \\ \\ x = 10[/tex]
Figure ABCD is a rhombus. Find the value of x. B с 4x + 2 E 3x + 5 A D x = [?] Enter
If figure ABCD is a rhombus, the value of x is 3
How to determine the valueIt is important to note the properties of a rhombus, they include;
All of the sides of a rhombus are congruentOpposite sides are said to be parallelThe opposite angles are equalThe diagonals of a rhombus bisect each other at right angles, that is, 90 degreesThe diagonals bisect the angles of a rhombusThe sum of two adjacent angles are supplementary, that is, they sum up to 180 degreesBased on the information given, we have the angles are;
4x + 23x + 5Note that opposite sides of a rhombus are equal or congruent.
Then, we have;
4x + 2 = 3x + 5
collect like terms
4x - 3x = 5 - 2
Subtract the like terms
x = 3
Hence, the value is 3
Learn more about rhombus here:
https://brainly.com/question/26154016
#SPJ1
9. There are a total of 400 balls in a box. Sixteen percent (16%) of these are red, 21% are
blue, 8% are yellow and the rest are white. How many white balls are there in the box?
a. 45
b. 55
C. 140
d. 220
Step-by-step explanation:
your answer is D 220 white balls.
A television cost $300.What is the total cost if the sales tax is 6.5%?
Answer:
319.5
Step-by-step explanation:
6.5% x 300 = 0.065 x 300 = 19.5
300+ 19.5 = 319.5
Answer:
319.50
Step-by-step explanation:
Solve the equation -2(x+5)=4
Answer:-7
Step-by-step explanation:
-2(-7+5)
Distributive property
-14-10
-24
-24/4=-7
What would happen to the graph of a line if the equation y=1/3x + 1 is
changed to y = -3x+ 1?
Answer:
b
Step-by-step explanation:
Answer:
The answer would be B.
Answer help need answer now plz help
Answer:
I think the answer is A
maybe it's right
Someone tell me the answer and how y’all day been
Answer:
I believe it is e.
Step-by-step explanation:
2/5 equals 0.4, which is the same as 0.40
Step-by-step explanation:
find the mean of the set of the numbers given 25,20,23,22
Answer:
The Mean of the set of the numbers x⁻ = 22.5
Step-by-step explanation:
Given a set of the numbers
25,20,23,22
Mean of the given data
∑x/n
Mean of the given data
[tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]
The Mean of the set of the numbers x⁻ = 22.5
bracelet: $84, 18% off what is the new price?
Answer:
$15.12
Step-by-step explanation:
You need to just search u p 18% of 84 or 84% of 18
Select the functions that are equivalent to P(t) = 76529( 1.21), where t is time in
years.
P(t) = 76529(1.049)4t
P(t) = 76529(1.032) 6t
P(t) = 76529(1.00834) 2t
P(t) = 76529(102.1)
21
P(t) = 76529 1.212
P(t) = 76529(1.016)121
P(t)=75529(1.21 1/2)2t
P(t)=76529(1.016)12t
Answer:
Step-by-step explanation: have a good one
I need this please help me
Answer:
Yesthe data table and the statment mean the same thing:)
Step-by-step explanation:
The two-way table shows the ages of the players on different soccer teams.
Answer:
3rd one down is the answer
A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.15 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.15 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Answer:
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
This is the pvalue of Z = 2.15.
Z = 2.15 has a pvalue of 0.9842
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials