Total surface area is: 21 ft²
Lateral area is: 12π ft²
The total surface area of this cone is 21π square feet.
What is the total surface area of the cone?The total surface area of the cone is given by the following formula;
[tex]\rm Surface \ area=\pi r(r+l)[/tex]
Where h denotes the height of the cone and r is the radius and l is the slant height.
The radius of the cone = 3
The height of the cone = 4
Substitute all the values in the formula
[tex]\rm Surface \ area=\pi r(r+l)\\\\\rm Surface \ area=\pi 3(4+3)\\\\\rm Surface \ area=3\pi \times 7\\\\\rm Surface \ area=21\pi[/tex]
Hence, the total surface area of this cone is 21π square feet.
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write the expression below in simplest form. 3x^2 + 8x -1+2(x^2 +5x+3) (work shown please!)
Answer:
5x^2+18x+5
Step-by-step explanation:
Answer:
5x² + 18x + 5
Step-by-step explanation:
Given
3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis
= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms
= 5x² + 18x + 5
3s+8s2+9s–3+3+8s please ans this quickk
PLEASE I NEED HELP ASAP
In diagram triangle PQV and triangle WXY . What is length of XY
Answer:
:(
Step-by-step explanation:
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1 MATH PROBLEM POINTS + BRAINIEST
Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?
Answer:
i was number #173
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
You have to find the lcm, and that is 56! Hope that helps.
Evaluate the Expression when x = 6 and y = 5.
(x - 1) + (y - 1)
Answer:
9
Step-by-step explanation:
The rectangle below has an area of 70 square meters.
Find the dimensions of the rectangle.
(x - 11)
(x - 8)
Answer:
The side lengths are 10 by 7
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = (x - 11)(x - 8)
FOIL
70 = x^2 -8x-11x+88
Combine like terms
70 = x^2 -19x +88
Subtract 70 from each side
0 = x^2 -19x +88-70
0 = x^2 -19x+18
Factor
What number multiplies to 18 and adds to -19
-18*-1 =18
-18-1 = -19
0=(x-18)(x-1)
Using the zero product property
x-18=0 x-1=0
x=18 x=1
But x cannot x=1 because then the side lengths would be negative
x-18 = 10
x-11 = 7
The side lengths are 10 by 7
The length of a rectangle is triple the width. The perimeter is 54 m. Find the dimensions of the rectangle
Answer:
W = 6.75
L = 20.25
Step-by-step explanation:
2(w + 3w) = 54
8w = 54
w = 6.75
L = 20.25
3х + 9 < 39
solve the following inequality
X < 10
Step-by-step explanation:
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
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Write a related function for - 6x + 8x - 5 = 3.
pls just explain and show your work if you can and ill give brainlest and 5 star
Answer:
x=4
Step-by-step explanation:
-6x+8x=2x
5+3=8 (when you move a number to the other side of an equals sign, it changes its value)
2x=8
2x/2 and 8/2
x=4
Answer:
X=4
Step-by-step explanation:
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
What’s the slope m and y-intercept b of both these images?
Answer:
Slope = 1
y-intercept = 3
Step-by-step explanation:
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,
Slope = [tex]\frac{3-0}{0-(-3)}[/tex]
Slope = 1
y-intercept of the line = distance between the origin and point of intersection of the line with y-axis
y-intercept = 3
What is 74% of 44.I appreciate your help
Answer:
32.56
Step-by-step explanation:
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
Factor 60y - 90 - 20x to identify equivalent expressions
Answer:
10(6y−9−2x) and 5(12y−18−4x)
Answer: 10(60y/10 - 90/10 +-20x/10)
What is the surface area of the triangular prism?
A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2
Please help!!!!
Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021
Answer:
well played ahajkdjajkskdjdhdjskkskfjsiiskfks
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
8 dogs so 5*8= 40
so it's D
Allison invested $70,000 in an account paying an interest rate of 6.2%
compounded continuously. Assuming no deposits or withdrawals are made,
how long would it take, to the nearest year, for the value of the account to
reach $223,200?
Answer: 19
Step-by-step explanation: j trust me
solve -4 (h - 2) = 8
Answer:
h=0
Step-by-step explanation:
-4(h-2)=8
/4 /4
h-2=-2
h=0
Hey Btw I strongly reccomend you use photomath for your math classes.
Answer:
[tex] \frac{ - 4(h - 2}{ - 4} = \frac{8}{ - 4} \\ h - 2 = - 2 \\ h - 2 + 2 = - 2 + 2 \\ h = 0[/tex]
The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!
Answer:
4y+12x
Step-by-step explanation:
I dont have time to type sry
[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
-k/3 = 9
answer = ??
Answer:
-k=9×3
-k=27
God luck friend
help plz!!!!!!!!!!!!!!!!!!!!!
Which shape has 3 sides and 3 corners?
f(x) = x2. What is g(x)?
Answer:
Step-by-step explanation:
x-2
3. Solve for the side length of BA and AC. * (image attached)
1 point
Captionless Image
BA = 8, BA = 30
BA = 8, AC = 16
BA = 8, AC = 8√2
BA = 8, AC = 8√3
Answer:
D. BA = 8, AC = 8√3
Step-by-step explanation:
First, because this is a right triangle, refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:
sine = opposite side/hypotenuse
sin(30) = BA/16
sin(30) / 1 = BA / 16
Cross multiply:
BA = sin(30) (16)
BA = 8
AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:
cosine = adjacent side/hypotenuse
cos(30) = AC/16
cos(30) / 1 = AC / 16
Cross multiply:
AC = cos(30) (16)
AC = 8√3
You can check by using the Pythagorean Theorem:
a² + b² = c²
8² + (8√3)² = 16²
64 + 192 = 256
256 = 256
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.