Answers
Answer:
4. h=9in
5. 150.8[tex]m^{2}[/tex]
6. 301.6[tex]in^{2}[/tex]
Step-by-step explanation:
4.
Surface area of a rectangular prism form : A=2(wl+hl+hw)
Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]
Multiply where applicable: 558=2[(99)+11h+9h]
Combine like terms: 558=2[(99)+20h]
Divide both sides by 2: 279=(99)+20h
*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*
Subtract to isolate the h: 180=20h
Divide both sides to isolate the h: 9=h
Now we see that the missing dimension h=9in
*note- I did not bold the equations with squares so please don't be confused by that*
5.
Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]
Substitute in values from the question: A=2π(3)(5)+2π[tex]3^{2}[/tex]
Multiply were applicable: A≈94.2+56.5
Add remaining values: A≈150.8
Now we see that the total surface area is 150.8[tex]m^{2}[/tex]
*note- whenever we solve for volume or SA of a figure we square the unit ([tex]m[/tex]➞[tex]m^{2}[/tex])*
6.
Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]
Substitute in values from the question: A=2π(6)(2)+2π[tex]6^{2}[/tex]
*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*
Multiply were applicable: A≈75.2+226.2
Add remaining values: A≈301.6
Now we see that the total surface area is 301.6[tex]in^{2}[/tex]
*note- whenever we solve for volume or SA of a figure we square the unit ([tex]in[/tex]➞[tex]in^{2}[/tex])*
Hope this helps :)
Related Questions
Remove the brackets using the distributive law for the following: 2(x + 3)
Answers
Answer:
2x + 6
Step-by-step explanation:
= 2(x + 3)
= 2(x) + 2(3)
= 2x + 6
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answers
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
Evaluate the following: 18 + 3 |6 - 25| - 11
Answers
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
Answers
16 cars are parked if 1/4 of them are blue how many cars are blue
Answers
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,
Answers
Step-by-step explanation:
Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )
The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.
a = 4 First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]
b = x Second: [tex]16+x^{2}=72.25[/tex]
c = 8.5 Third: [tex]x^{2}=56.25[/tex]
Fourth: [tex]x=\sqrt{56.25}[/tex]
Fifth: x = 7.5
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Answers
Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.
Longer, proper answer:
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
so again the answer must be C.
Trigonometric series : A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.
Option c is correct.
First five term of Trigonometric series of sin is shown below,
[tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]
substitute x = [tex]\frac{4\pi }{5}[/tex]
[tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]
After solving,
We get, approximation value of [tex]sin\frac{4\pi }{5}=0.5884[/tex]
Now find , actual value
[tex]sin\frac{4\pi }{5}=0.5878[/tex]
Learn more:
https://brainly.com/question/23159335
I need help with this problem
Answers
Answer:
24
Step-by-step explanation:
5^2-3^2=?
25-9=16
sqrt 16 = 4
6×4=24
Dilation of 2 about the origin
Answers
Answer:
I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.
Step-by-step explanation:
Meaning...
shift ∠U 2 blocks to the left on the x-axis
shift ∠V 2 blocks vertically (up) on the y-axis
shift ∠W 2 blocks diagonally to the right
I really hope this helps! I pray this is correct for your sake!
HELP! WILL MARK AS BRAINLIEST (MATHEMATICS FORM 1 // BASIC ALGEBRA) pls help me answer these 4 question TYSM!!!
Answers
Answer:
hope this help you a lot but it's too late
can you mark me as brainlist
Which equation represents a line which is parallel to the line y = -5x – 7?
Answers
Answer:y=7 is the equation of a line. The line has a y-value of 7 no matter what x-value is given.
Step-by-step explanation:
Answer:
any equation that has -5x +/- any number
Step-by-step explanation:
All you have to do to create an equation that is parallel is keep the slope the same but change its be value. (y = mx + b) <---- keep the mx the same
3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2
Answers
Answer:
(-1, 3)
Step-by-step explanation:
replace the occurrences of y in the equation
(x + y = 2) with x + 4
x + x + 4 = 2
2x + 4 = 2
solving for x in the first equation
2x = 2 - 4
2x = -2
2x/2 = -2/2
x = -1
replacing all occurrences of x in y = x + 4 with -1
y = (-1) + 4
y = 3
therefore the pairs are (-1, 3)
Hope it helps!
Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.
Answers
Answer:
the quotient of a number y and negative three point six is less than six point five.
somebody help me please
Answers
Answer:
B. 3^(2/3)
Step-by-step explanation:
Find the roots: x^2−12x+32=0.
Enter your answers in the boxes (numbers only).
Answers
The answers are 4 and 8.
Because:
x^2 - 12x + 32 =
(x - 4)(x - 8)
x - 4 = 0
+4 +4
x = 4
x - 8 = 0
+8 +8
x = 8
HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
Answers
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
Helppppppp I’ll give you 10 pointssss plzzz
Answers
$113.40
explanation:
TV = $180
40% = 40/100 = .4
$180 * .4 = $72
$180 - $72 = $108 is the sales price.
Sales tax
5% = 5/100 = .05
$108 * .05 = $5.40
$108 + $5.40 = $113.40
The TV costs $113.40 including tax, after the discount.
Mhanifa Plz help me with this thank you!
Answers
Answer:
D
Step-by-step explanation:
This is an example of the Pythagorean theorem.
In triangle BEH, the sum of the squares of the sides of the two smaller sides, BE and BH is equal to the longest side squared, EH.
Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?
a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]
Answers
Answer:
b
Step-by-step explanation:
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
Answers
Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds
Answers
Answer:
StartFraction 1 Over 16 EndFraction of a pound
Step-by-step explanation:
Total pounds of sunflower seeds Jordan bought = 9/16 of a pound
Number of snack bags for his lunch = 9
What is the weight of sunflower seeds in each snack bag?
Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch
= 9/16 ÷ 9
= 9/16 × 1/9
= (9*1) / (16*9)
= 9 / 144
= 1/16
Weight of sunflower seeds in each snack bag = 1/16 of a pound
Answer:
1/16 of a pound aka A is the correct answer.
Step-by-step explanation:
what is the answer pls help 5' 2" − 2' 3" =
Answers
Answer:
2' 11'
Step-by-step explanation:
Answer:
1.83333333333
Step-by-step explanation:
i dunno if these were supposed to be fractions
What is the probability of rolling a 3 or 4 on a six sided die?
Answers
Answer:
2/6
Step-by-step explanation:
if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4
A 1.5m tall boy casts a 3m shadow. Calculate the height of a tree that simultaneously casts an 8m shadow.
Answers
BRAINIEST TO WHOEVER RIGHT “ identify the box and whisker plot that represents the data.” “Cat lengths (in inches) : 16, 18, 20, 25, 17, 22, 23, 21”
Answers
First we have to put he data set in ascending order:
16, 17, 18, 20, 21, 22, 23, 25
The median (middle number or average of 2 middle numbers) = 20.5 The center line of the box needs to be at 20.5
The middle of the first half of the data is 17.5, (average of 17 & 18) so the left side of the box needs to be at 17.5
The middle of the second half of the data is 22.5, (average of 22 & 23), so the right side of the box needs to be at 22.5.
The “whiskers” are your bottom & top numbers...representing the full range of data. They should be at 16 & 25.
Help me out with this math please
Answers
Answer:
I believe it is C.
Answer:
B
Step-by-step explanation:
because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answers
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
pease help me asp!!
1. all real numbers greater than –7
2. all real numbers less than 1
3. all real numbers greater than or equal to 9
4. all real numbers less than or equal to 10
5. all real numbers less than 8 and greater than 3
6. all real numbers greater than 7 or less than 5
7. all real numbers less than 5 and is at least 0
8. All real numbers less and 4 and is at least –9
9. all real numbers less than –2 and is at least –
10. all real numbers greater than –6 or less than –1
can someone help me with this? ill mark the brainl.iest!!
Answers
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!
Answers
Answer:
From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.
Step-by-step explanation:
Hope this helps have a nice day!
What the answer. ? Please no links
Answers
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet