Answer:
Lateral Surface Area = 94.25 cm²
Surface area = 150.8 cm²
Step-by-step explanation:
A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?
Step 1
We have to find the radius of the cylinder
We are told in the question that:
The circumference of one circle is 18.84 cm
Circumference of a circle = 2πr
18.84cm = 2πr
r = 18.84/2π
r = 2.9984791279cm
Approximately the radius = 3cm
Step 2
We find the Lateral Surface Area of the Cylinder
The formula =2πrh
r = 3cm
h = 5cm
=2×π × 3 × 5
= 94.24778 cm²
Approximately = 94.25 cm²
Step 3
We find the Surface Area of the Cylinder
The formula =2πr(r + h)
r = 3cm
h = 5cm
=2×π × 3 × 5(3 + 5)
= 150.79645 cm²
Approximately = 150.80 cm²
Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?
In the given triangle ABC in the figure, the value obtained for x will be equal to 6.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in the question,
Use the equation of Pythagoras' theorem,
h² = p² + b²
(2x - 2)² = x² + (x - 2)²
4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x
4x² - 8x + 4 = 2x² + 4x + 4
4x² - 2x² - 8x - 4x + 4 - 4 = 0
2x² - 12x = 0
2x² - 12x = 0
2x(x - 6) = 0
So,
2x = 0
⇒ x = 0, it is not possible.
Or,
x - 6 = 0
x = 6
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The given question is incomplete, the complete question might be in the attachment.
The mass of the sun is about 1.98x10^30 kg. The mass of the Earth is about 5.97x10^24 kg. Estimate how many times bigger the mass of the sun than the mass of earth. Round to the NEAREST TENTH!
Answer:
About 333000 times
Step-by-step explanation:
What is the solution to the equation? √x+3=12
3
Step-by-step explanation:[tex] \sf \sqrt{x + 3 = 12} [/tex]
[tex] \sf = \sqrt{x = 12 - 3} [/tex]
[tex] \sf = \sqrt{x = 9} [/tex]
[tex] \sf = \sqrt{9} [/tex]
[tex] \sf = \sqrt{3 \times 3} [/tex]
= 3
The solution of the linear equation [tex]\sqrt{x+3} = 12[/tex] for the variable, x is 141.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable
The solution of the equation can be calculated as:
[tex]\sqrt{x+3} = 12[/tex]
Squaring both side,
[tex]x+3 = (12)^2[/tex]
x+3 = 144
Subtract 3 from both the sides,
x = 141
The solution of the linear equation for the variable x is 141.
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Which graph represents a proportional relationship from y to x with a constant of proportionality of 1/2
Answer:
It´s going to be B
Step-by-step explanation:
A washing machine is on clearance for 30% off. If the sale price of the washing machine is $395.49, what was the original price? Round to the nearest cent if necessary. Justify your solution.
Answer:
Discount = Original Price x Discount %/100
Discount = 395.49 × 30/100
Discount = 395.49 x 0.3
You save = £118.65
Final Price = Original Price - Discount
Final Price = 395.49 - 118.647
Final Price = £276.84. (ANSWER)
original price of washing machine is $564.99 if the sale price of the washing machine is $395.49 with 30% off.
What is Percentage?Percentage is defined as a given part or amount in every hundred
Based on the given conditions, formulate:
x×(1-30%)=395.49
Apply multiplicative distribution
x-0.3x=395.49
Combine the like terms
0.7x=395.49
x=395.49/0.7
Convert decimal to fractions
x=(39549/100)/(7/10)
x=39549/(10×7)
x=39549/70
x=564.99
Hence original price of washing machine is $564.99
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please help with this
Answer:
5x+y=5xy
Step-by-step explanation:
Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please
Answer:
your answer would be C hope it helps
5. I bought a $55 swimsuit, a $15 hat, and a $40 pair of shoes. I used a coupon that gave me 40% off my total bill. How much did | spend?
quickk pls
Answer:66 dollars
Step-by-step explanation:110 - 44 = 66
These triangles
are congruent
by the triangle
congruence
postulate [? ]
A. SAS
B. SSS
C. Neither, they are not congruent
Answer:
B-SAS
Step-by-step explanation:
Was right on acellus
what is the value of x 3/6x+9 =12
Answer:
x=6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Solve these [7x+5](8x+3)
(3-8x)(4-5x)
2(4x+7)(6x-5)
Answer:
107520x6+89344x5−241808x4−55444x3+121478x2+6030x−12600
Step-by-step explanation:
brailiest
Answer:
nice
Step-by-step explanation:
If f (x) = x^2 + 3, evaluate f (-4).
=
A) -5
B) 19
C
11
D) -13
Answer: B) 19
Step-by-step explanation:
To solve this problem, simply plug in -4 for x:
[tex]f(x)=x^{2} +3\\f(x)=(-4)^{2} +3\\f(x)=16+3\\f(x)=19[/tex]
Hope it helps :) and let me know if you want me to elaborate/explain further
Answer:
D. -13
Step-by-step explanation:
If you substitute -4 in for x you get -4^2+3, so when you simplify you get -16+3 which equals -13.
f(x)=x^2+3
f(-4)= -4^2+3
f(-4)= -16+3
f(-4)= -13
(-15x + 21y) divide by 3
Hey! Your answer to this would be -5x + 7y
Which description best fits the graph?
Answer:
Step-by-step explanation:
U ultra
Yolanda ran three times last week. Here are the distances she ran (in kilometers).
3.99, 10, 6.4
What is the total distance Yolanda ran on these three days?
Answer:
20.03
Step-by-step explanation:
distance ran For 1st day+distance ran For 2nd day+distance ran For 3rd day.
3.99+10.6.4=20.03
Ian's car can go 231 miles on 7 gallons of gas. During a drive last weekend, Ian used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.
Answer:
165 miles
Step-by-step explanation:
part 1
231/7= 33 mpg
33x5 = 165 miles
part 2
distance/mpg = gas used
for example: if you were told he went 200 miles,
200/33 = 6.06 gallons of gas
Given :
Ian's car can go 231 miles on 7 gallons of gas.
During a drive last weekend, lan used
5gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 231 mi on 7 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 231/7mi
On 5 , it will go 231/7*5 = q65 miles
Hence the required answer is 165 miles
Simplify the algebraic expressions: 9(7x - 7)+(5x - 9)
Answer:
7x-7=0
5x-9=4x
4x(9)=36
x=36
Using Substitution solve: y=x+5
4x+y=20
Answer:
3
Step-by-step explanation:
So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3
Help me please ?!?!?!?!?!
Answer:
option 3 left bottom corner
Step-by-step explanation:
Watching a Helicopter Take Off At a distance of 58 ft from the pad, a man observes a helicopter taking off from a heliport. If the helicopter lifts off vertically and is rising at a speed of 55 ft/sec when it is at an altitude of 113 ft, how fast is the distance between the helicopter and the man changing at that instant? (Round your answer to one decimal place.)
The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :
L² = x² + y²
x and y are the legs.
The solution is
dy/dt = 48.9 ft/s
We know that in a right triangle:
L² = x² + y² (1)
If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).
According to that, if we get derivatives with respect to time on both sides of equation (1) we get:
2×L× dL/dt = 0 + 2×y×dy/dt (2)
And
L = √ ( 58)² + ( 113)² = √12769 + 3364 = 127.02 ft
L = 127.02 ft when y = 113 ft
Now in equation (2) we know:
y = 113 ft dy/dt = 55 ft/s L = 127.02 we look for dL/dt
Then by substitution
2×127.02 × dL/dt = 2×113×55
254.04× dL/dt = 12430
dL/dt = 48.92
dL/dt = 48.9 ft/s
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Answer:
B
Step-by-step explanation:
Find the equation of the line that passes through (1,-2) and is parallel to y = 3x + 4.
Leave your answer in the form y = mx + c
Answer: y=3x-5
Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3 into the point slope formula.
y-(-2)=3(x-1)
y+2=3x-3
y=3x-5
PLEASE help!! BRAINLIEST to correct answer!!
The general equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where the center is (h,k) and the radius is r.
The equation we are given is:
[tex](x-2)^2+(y+3)^2=80[/tex]
From this, the center is (2,-3), and the radius is [tex]\sqrt{80}[/tex], or [tex]4\sqrt{5}[/tex].
Let me know if you have any questions, thanks!
Use trig identities to show that sec θ − cos θ = tanθ (sin θ)
Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex] to get
[tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]
Then find a common denominator:
[tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]
But now make that one fraction:
[tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]
But that's just sin^2 on the top
[tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]
Split that fraction up:
[tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]
And tan = sin/cos
[tex]=\tan\theta\cdot sin\theta[/tex]
what is 6-11a>-49 and 5a+10≥-35 will mark brainliest
Step-by-step explanation:
6-11a>-49
-11a>-49-6
-11a>-55
a<5.
Now, according to the question, if it is
W = {0,1,2,3,4}
N = {1,2,3,4}
Z = {...,-2,-1,0,1,2,3,4}
5a+10≥-35
5a≥-35-10
5a≥-45
a≥-9.
Now, according to the question, if it is
W = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}
Z = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}
Now, according to your domain you will do it .
hope this helps you.
Is this relation a function yes or no ?
Answer:
Yes
Step-by-step explanation:
None of the x's repeat
Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.
A
geometric; 125
B
arithmetic; 75
C
arithmetic; 125
D
geometric; 75
Answer:
The answer would be C.
Step-by-step explanation:
0.2 x 5 = 1
1 x 5 =5
5 x 5 = 25
So your next number in the sequence should be 125.
Please help me with this question!
simplify (3a^4b^3)^3
Answer:
Step-by-step explanation:
(3a^4b^3)^3
=3^3a^4*3b^3*3
=27a^12b^9
Answer:
27(a^12)(b^9)
Step-by-step explanation:
Can be reorganized to (3^3)((a^4)^3)((b^3)^3)
27(a^12)(b^9)
8x + y = 20
x - 2y = -6
Answer: the answer is
Step-by-step explanation: