Considering the dilation, the surface area of the rectangular prism is of 0.432 units².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of dimensions l, w and h is given by:
Sa = lwh.
In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:
w = h = 0.6, l = 1.2.
Hence the surface area of the prism will be of:
Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².
More can be learned about the surface area of a rectangular prism https://brainly.com/question/21208177
The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The solid below is dilated by a scale factor of 5. Hence:
New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15
Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²
The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²
Find out more on equation at: https://brainly.com/question/2972832
Helpppp :(((( 75 points and brainliest!!!! for good answers only
cos Θ =4/5 and sin Θ<0. Identify the quadrant of the terminal side of Θ and find sin Θ.
option B
Cos theta is positive and sin theta is negative in quadrant IV
[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]
We have to find opposite side using Pythagorean theorem.
x² + 4² = 5²
x² + 16 = 25
x² = 25- 16
x² = 9
[tex]\sf x =\sqrt{9}\\\\x = 3[/tex]
[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]
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the sum of all the angles in a triangle is 180°
65°+20°+x = 180°
85°+x = 180°
x = 95°
hope it helps...!!!
Help! IXL is so frusturating. it would be great if I could get some help.
Answer:
I would say about 60%
Step-by-step explanation:
since odd numbers are 3 of the 5 total cards 3/5 gets you 60% likely to pull qn odd number.
Is this right? Please hurry and answer
Answer:
right answer
Step-by-step explanation:
A guy name Mac answered a similar question so it’s right.
=
Which of the following is the inverse of y=3"?
Answer:
[B] [tex]y=log_3x[/tex]
Step-by-step explanation:
Given:
[tex]y=3^x[/tex]
Exchange the variables:
[tex]x=3^y[/tex]
Putting the variable y on the left side of the equation:
[tex]3^y=x[/tex]
Applying the logarithm properties:
[tex]y=log_3(x)[/tex]
Thus,
[tex]f^-^1=log_3(x)[/tex]
Hence, the answer is [B] [tex]y=log_3x[/tex]
~lenvy~
PLEASE HELP THIS IS TRIGONOMETRY!!!
[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]
What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0.99 1.65 1.96 2.58
The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.
What is normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.
The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.
Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.
Learn more about the normally distributed data here;
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Answer:
1.96
Step-by-step explanation:
its 1.96 or c on edge 2020
Ava opened a account first oak with 5000$. Zoe started an account with 4000$ l. No additional deposit or withdrawal from this account. Hiw much more money will be in avas account than zoes at the end of three years
Answer:
This isnt much of an answer just something to help-
Try doing A(1 + B)^I
PLEASE PLEASE HELP FASSTT
PLease help me
I will give a maybe brainly and
a thanks and 3 - 5 stars
PLEASE PLEASE
Answer:
The blank would be 2.
Step-by-step explanation:
Step 1. Notice that a equals 2.
Step 2. See that 7a means 7 x a
Step 3. See that theblank equals 7x2
Step 4. Get the answer of 14 (if needed)
I hope this helps! :)
Answer:
You would put 2 in the little box
Step-by-step explanation:
When there is a letter right next to a number, you are multiplying. The expression would be 7x2 giving you the answer of 14
Hope this helped!
Find the sum of the first 6 terms of the following sequence. Round to the nearest
hundredth if necessary.
324,
54,
9….
Answer:
388.79 (nearest hundredth)
Step-by-step explanation:
Given sequence: 324, 54, 9, ...
Therefore:
[tex]a_1=324[/tex]
[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]
Sum of a finite geometric series:
[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]
Sum of the first 6 terms → n= 6:
[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]
So
[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]
[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]
[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]
PLEASE HELP MEEEEE!!!!!
Answer:
d= 50m
Step-by-step explanation:
I used the Pythagorean Theorem to solve this.
30^2+ 40^2= x^2
900+1600=x^2
2500=x^2
x=50
Whoever explains and puts the right answer will get Brainlisted
Answer:
A
Step-by-step explanation:
The moving averages and exponential smoothing methods are appropriate for a time series exhibiting _____. a. a cyclical pattern b. seasonal effects c. trends d. a horizontal pattern
Answer:
b
Step-by-step explanation:
Bud is a teacher in the science, technology, engineering, and mathematics career cluster. he is thinking about changing his career as he does nto see much growth in teaching. he is thinking of moving into private industry. why might this be a good move for bud? he can return to a university or community college and train for a new career. he can return to doing what he loves, even if there are more regulations. he can return to a career that is expected to grow faster than most industries. he can return to doing what he loves, even though he will earn less money.
Answer:
C He can return to a career that is expected to grow faster than most industries.
Step-by-step explanation:
Answer:
It's C, Not Capping
Step-by-step explanation:
Got 100% On The Unit Test Review :)
y=(1+2z+3z^3)(5z+8z^2-Z^3)
Answer:
Step-by-step explanation:
multiplying the first bracket with the second (step by step)
= 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)
= 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6
=5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6
For which division problems should you write the first digit of the quotient in the hundreds place? Choose all that apply. A. 734 ÷ 6 B. 803 ÷ 10 C. 1,090 ÷ 19 D. 5,280 ÷ 48 E. 9,765 ÷ 26
Step-by-step explanation then the answer:
Hey there, I think this question may be a circle all. So the questions with the answer (quotient) being in the hundreds place would be A, D, and E. Those all have quotients in the hundreds place.
What is the approximate value for
683/22
A. 20
B. 21
C. 25
D. 31
D. 31 ( roundest to the nearest whole number)
[tex]\dashrightarrow \ \sf \dfrac{683}{22}[/tex]
[tex]\dashrightarrow \ \sf 31\dfrac{1}{22}[/tex]
[tex]\sf \dashrightarrow \ 31.04545[/tex]
whole number: 31remainder: 1divisor: 22A circle has exactly four lines of symmetry.
True
Or
False
Answer:
no false it has infinite
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 79.6
Step-by-step explanation:
[tex] \sin( 0) = \frac{opp}{hyp} [/tex]
↓
[tex] \sin(31) = \frac{41}{x} [/tex]
↓
[tex]x = \frac{41}{sin31} [/tex]
↓
x = 79.6
please teach me how to do this
Check the picture below.
[tex]\cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{38.4}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{2(19.2)}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{1}{2} \\\\\\ 36=18+x\implies 18=x[/tex]
What is the area of the figure?
Answer:
20 m^2
Step-by-step explanation:
Area of base rectangle + area of triangle atop the rectangle = total area
8x 2 + 1/2 4 * 2
16 + 4 = 20 m^2
Is x greater than less than or equal to 46 degree
Common ratio of -1,1,4,8,…
Step-by-step explanation:
-1,1,4,81-2,2-1,6-2,10-2=-1,1,4,8 is my answer10. A parallelogram has an area of 37
parallelogram is 4 feet, how many feet is the base
square feet. If the hein
A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?
Answer:The base of the given parallelogram is
Step-by-step explanation:Area of a parallelogram is defined as the product of its base and height respectively. Mathematically;
→ Area of parallelogram = base * height
By substituting the given values in the formula, we get the following results:
→ 37 = base * 4
→ base = 37/4
→ base = 9.25
Hence, the base of the given parallelogram is 9.25 feet.
Additional information:Let's know something more about a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral whose opposite sides are parallel and hence its opposite angles are also parallel.
What is the formula of a parallelogram?
Let ‘B’ be the base and ‘H’ be the height of a parallelogram then its area is given by,
→ Area of parallelogram = B * H
What is unit of parallelogram?
The unit of a parallelogram is square units.
help with homework please!!!!!!
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
A
Step-by-step explanation:
8-3=5
9/10 -4/10 =5/10
since 5/10 can be simplified to 1/2, it is A
question 79 and 80. can someone please help me? thanks to whoever does
Answer:
divide it into a triangle and a segment then use Pythagoras thereom
Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Step-by-step explanation:
Volume of a cone = 1/3 x π x r^2 x h
= 1/3 x 3.14 x (8)^2 x (18)
= 1/3 x 3.14 x 64 x 18
= 1/3 x 3.14 x 1,152
= 1/3 x 3.14 x 1,152
= 1,205.76
= 1,205.8 m^3
*Note*: Alter the pi according to the question always.
Jim’s mom ordered 9 pizzas for his party. If each person eats 1/3 of a pizza, how many people can eat pizza at Jim’s party?
Answer:
27 people can eat pizza at Jim's Party
Step-by-step explanation:
If you divided each pizza by 3, 3 people a pizza right, so 3 x 9 would get you the number of people that can eat pizza at the party, hope this helps! :D