Answers
Answer: B. 1178 cm²
What we are solving for:
The lateral area is, put simply, the surface area of the cone not including the bottom.
The formula is:
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Height of the cone:
This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.
a² + b² = c²
15² + b² = 25²
225 + b² = 625
b² = 400
b = [tex]\sqrt{400}[/tex]
The height is 20 cm
Solving:
Back to the formula,
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]
L ≈ 1178.1 cm²
The lateral area of the cone is B. 1,178 cm².
Related Questions
When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expressions
-4.4
1.2x-2.4+1.2x-2
2.4x-0.4
2.4x-4.4
Answers
Answer:
[tex]2.4x-4.4[/tex]
Step-by-step explanation:
Given the following question:
[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
To simplify the expression, we are going to need to rewrite the expression by expanding the terms and then solve by using the distributive property. Then we combine like terms in till the expression can no longer be simplified to find our answer.
[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
[tex]0.3(4x-8)[/tex]
[tex]0.3\times4=1.2x[/tex]
[tex]0.3\times4=2.4[/tex]
[tex]1.2x-1.2-0.5(-2.4x+4)[/tex]
[tex]-0.5(-2.4x+4)[/tex]
[tex]-0.5\times-2.4=1.2[/tex]
[tex]-0.5\times4=-2[/tex]
[tex]1.2-2[/tex]
[tex]1.2x-2.4+1.2x-2[/tex]
[tex]1.2+1.2=2.4x[/tex]
[tex]-2.4+-2=-4.4[/tex]
[tex]=2.4x-4.4[/tex]
Your answer is "2.4x - 4.4."
Hope this helps.
A cube has a surface area of 600 square centimeters. What is the side length?
Answers
Answer:
10 cm
Step-by-step explanation:
The formula for finding the surface area of a cube is 6 x (side length)^2.
Since the surface area equals 600, you can divide the surface area by 6 (because a cube has 6 faces) so that becomes 100. The square root of 100 is 10, so the side length is equal 10 cm.
Need help for points
Answers
1 /3 radius^2 x height 3
Pi/3 *r^2 x 9 3 = 3 pi ^2
r=1, volume = 3 pi
r=2, volume = 12 pi
r=3, volume = 27pi
please help QUICK I WILL GIVE YOU BRAINLIST
Answers
Answer:
P = 59°Step-by-step explanation:
You have 80 grams of tellurium how much will be left after 8 months if it’s half-life is 2 months?
Answers
Answer:
5 grams.
Step-by-step explanation:
First, find out how many half-lives have passed. Divide the number of months by the length of a half-life.
8÷2=4
4 half-lives have passed.
Now figure out how much tellurium will be left after 4 half-lives have passed. Multiply the starting amount of tellurium by [tex]\frac{1}{2}[/tex] a total of 4 times.
80 · [tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex] = 5
That calculation could also be written with exponents
80 · [tex](\frac{1}{2} )^{4}[/tex] = 5
After 4 half-lives, the amount of tellurium left will be 5 grams.
Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :)
Answers
39°
Try harder to achieve success
Please help I will give brainliest.
Answers
Answer:
See below
Step-by-step explanation:
1. Two numbers that multiply to 17 and add to 18.
17 x 1 = 1717 + 1 = 181 and 172. Two numbers that multiply to 36 and add to -20.
-18 x -2 = 36-18 + -2 = -20-18 and -2What is the volume of the cylinder in terms of pi 2 m 6m
Answers
Answer:
6πm³
Step-by-step explanation:
To work out the volume of a cylinder, use the formula πr²h
Next, substitute the known values into the equation (remember that the radius is half of the diameter):
volume = π × 1² × 6
The volume of the cylinder is 6πm³
Hope this helps!
the graph of the money jake earns while babysitting is shown below. put a scale on each axis that makes sense for this situation. explain why chose the scales you did.
Answers
Answer:
Hi uddin
Step-by-step explanation:
Do u remember me
I am the ghost of the uchiha i searched ur this question and found ur brainly thing
m
A.
Which of the following equations is equivalent to p = + at?
a=t(p-on)
t=a(p)
B.
=
m
גנן
C.
1 =
p-at
D.
r
m =
p-at
Answers
Answer:
M Because the evolution of algebraic combinations is disordered and Fibonacci is wrong
When you have coordinates of two points A(1, 2) and B(2,6) slope is:
Answers
Answer: 4
Step-by-step explanation:
An hour before show time, only 228 people are seated for a musical performance. according to ticket sales, 94% of the people have yet to arrive. how many tickets were sold for the musical performance? explain your thinking.
Answers
Answer:
3800 tickets sold
Step-by-step explanation:
We know the number of people seated, and we know the percentage of total ticket sales that represents. So, we can find the total number of tickets sold.
seated + not-arrived = total sold
228 + 0.94 × total sold = total sold
228 = 0.06 × total sold . . . . . . . . . . . . subtract 0.94 × total sold
228/0.06 = total sold = 3800
There were 3800 tickets sold for the performance.
what is the slope-intercept form of the equation of the line that contains the points (-3,-3) and (4,5)
Answers
Answer:
[tex]y=1.14x+0.420[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-3,-3) = (x1, y1)
Point B = (4, 5) = (x2, y2)
To write the points in slope intercept form we must first calculate the slope using rise over run. Once we have the slope, we substitute the values into the formula for slope intercept which is y = mx + b and then solve for b to have our answer.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5--3}{4--3} =\frac{8}{7}[/tex]
[tex]8\div7=1.14[/tex]
[tex]m=1.14[/tex]
Now that we have the slope substitute the values:
[tex]y=mx+b[/tex]
[tex]y=-3[/tex]
[tex]m=1.14[/tex]
[tex]x=-3[/tex]
[tex]-3=1.14(-3)+b[/tex]
[tex]1.14\times-3=-3.42[/tex]
[tex]-3=-3.42+b[/tex]
[tex]-3.42+3.42=0[/tex]
[tex]-3+3.42=0.42[/tex]
[tex]0.42=b[/tex]
[tex]b=0.42[/tex]
[tex]y=1.14x+0.420[/tex]
Your answer is "y = 1.14x + 0.420."
Hope this helps.
reduce into lowest terms
[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]
Answers
Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Answer:
Answers
The surface area of the solid formed is about 598.33 in²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in
Hence:
Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²
The surface area of the solid formed is about 598.33 in²
Find out more on area at: https://brainly.com/question/25292087
What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8
Answers
Answer: y = 32/7
Step-by-step explanation:
Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.
Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →
-7y = -32 → y = 32/7. Hope this helps!
Can some please explain and solve how to do these unit rate equations?
Answers
(2) 6:3=2:1. 10:5 It will take 5 hours because she’s walking 2km per hour, so it would take 5 hours to walk 10km.
(3) 1:20 4:80 It will take 80 minutes because 20x4=80
(4) 1:1 20:20 it will take her 20 days since she makes one craft a day and she’s making 20.
(5) 12:1 84:7 84 cakes since there is 7 days in a week. 12x7=84
If you still need help, here’s the answers
6. Find the mean and the median for these data,
Mean
Median
The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Points Scored
73
77
85
84
37
115
7. Find the mean score and the media
Answers
Answer:
73+77+85+84+34+115 and the basket ball team got from the game
Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:
What is the measurement of DL?
What is the measurement of AL?
What is the measurement of ∠ DLA?
What is the measurement of ∠ AEL?
Answers
Answer:
DL = 34 cm
AL = 17 cm
∠DLA = 60°
∠ADL = 30°
Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MA
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ 12 = x
Substituting found value of x into expressions for DL and AL:
DL = 2x + 10
= 2(12) + 10
= 34 cm
AL = x + 5
= 12 + 5
= 17 cm
The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if
MA is the hypotenuseAL is the shortest sideGiven:
∠M = ∠D = 30°∠MAL ≅ ∠DLASum of interior angles of a triangle is 180°
⇒ ∠DLA + 30° + 90° = 180°
⇒ ∠DLA + 120° = 180°
⇒ ∠DLA = 60°
As ∠M = ∠D = 30°, then ∠ADL = 30°
Answer:
DL = 34 cmAL = 17 cm∠DLA = 60°∠ADL = 30°Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MAEquating DL and MA :
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ x = 12
Finding DL and AL :
DL = 2(12) + 10 = 24 + 10 = 34 cmAL = 12 + 5 = 17 cmFinding ∠DLA :
∠M = ∠D = 30° (corresponding parts of congruent triangles)∠DLA + ∠D + 90° = 180°∠DLA + 30° = 90°∠DLA = 60°Finding ∠ADL :
∠ADL = ∠D∠ADL = 30°What is the surface area of the cylinder with height 8 and radius 2? Round your answer to the nearest thousandth.
Answers
Answer:
surface area of cylinder is 126cm²
Step-by-step explanation:
Height of a cylinder is 8cm
Radius of a cylinder is 2cm
surface area = ?
surface area of cylinder= 2πr(r + h)
=2×22/7×2(2+8)
=44/7×2(10)
=44/7×20
=880/7
=125.71
A = 2πrh + 2πr² π=3.14
(2 x 3.14 x 2 x 8) + (2 x 3.14 x 2x2)100.48 + 25.12A =125.6helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
76
Step-by-step explanation:
I D K this is a puzzle
When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent? a. $33.44 b. $31.25 c. $26.56 d. $6.88
Answers
The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88
What is consumer price index?The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.
[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base periodThen, we have:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]
For this case, we're given that:
In 1983, CPI of considered razor = 185, and price = $57.81In some other year, the CPI of considered razor = 207, and price = $ ?? (to find).Let the base price of the razor in some base period be [tex]C_0[/tex]
Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]
Now for the year when CPI is 207, let the price of th razor be $x, then we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]
The difference between the two prices is:
[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]
Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88
Learn more about consumer price index here:
https://brainly.com/question/27143583
Answer:
D
Step-by-step explanation:
Two sides of a triangle measure 17 inches and 13 inches. The perimeter of the triangle is 45 inches. What is the length in feet of the third side of the triangle?
Answers
[tex]\rightarrow[/tex] First side(a) of triangle = 17in.
[tex]\rightarrow[/tex] Second side(b) of triangle = 13in.
[tex]\rightarrow[/tex] Perimeter of triangle = 45in.
To Find:-[tex]\rightarrow[/tex]Third side of the triangle.
Formula Used:-[tex]\rightarrow[/tex] Perimeter of triangle = sum of all side(a+b+c).
Solution:-[tex]\rightarrow[/tex] Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 17+13+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 30+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45-30\: = \:c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{15in.\: = \: c}[/tex]
Therefore, third side = 15in.
[tex]\rightarrow[/tex]To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.
[tex]\rightarrow[/tex] [tex]\sf{\frac{15}{12}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{1.25feet}[/tex]
________________________________
Hope it helps you:)
Answer:
Side 3 = 1.25 feet
Step-by-step explanation:
Given :
Two side measures of a triangle = 17 inches and 13 inchesPerimeter = 45 inchesTo Find :
Length of 3rd sideSolving :
Side 1 + Side 2 + Side 3 = Perimeter13 + 17 + Side 3 = 45Side 3 = 45 - 30Side 3 = 15 inchesSide 3 = 1.25 feet(3.1×10^7)(5.8×10^−4) in scientific notation
Answers
Answer:
[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]
The height of a triangle is six times the base. Write an expression for the area of the triangle and let x be the base.
Answers
Answer:
If
Hight = 6×base
And
Base = X
Then
Hight = 6 × X
Which is equivalent to
Hight = 6X
Hight=6×base
And
Base = X
Then
Hight = 6 × X
Which is equivalent to
Hight = 6X
show that the point (7,1) lies on the perpendicular bisector of the line joining (2,4) and (4,6)
Answers
Answer: True
Step-by-step explanation:
Let the point (7, 1) be Point A
Let the perpendicular bisector of the line joining (2,4) and (4,6) be Line PQ; P(2, 4) and Q(4, 6)
If A (7,1) lies on perpendicular bisector of P(2,4) and Q (4, – 6), then AP=AQ
[tex]\begin{aligned}\therefore \quad A P &=\sqrt{\left(2-7\right)^2+\left(4-1\right)^2}\:\\&=\sqrt{5^2+3^2}\\&=\sqrt{25+9}=\sqrt{34} \\\mathrm{and} \ \ \ A &=\sqrt{\left(4-7\right)^2+\left(6-1\right)^2}\: \\&=\sqrt{3^2+5^2} \\&=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]
Therefore, (7, 1) does lie on the perpendicular bisector of the line joining (2,4) and (4,6)
The measure of an angle is 27. 5°. What is the measure of its complementary angle?
Answers
Answer:
62.5 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
So the answer is 90 - 27.5.
Find the derivative of 76x + 1 at x = 1.
Answers
Answer:
76
Step-by-step explanation:
We know the rule when finding the derivative :
dy/dx = nxⁿ⁻¹Deriving
dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{0} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76[/tex]
Here, we have got a constant number, therefore for any value of x it will be 76
Therefore, derivative of 76x + 1 at x = 1 is 76
The figure shown is composed of 4 identical cubes.
Find the surface area.
the only thing that they show me was that on the bottom of a cube was 2 in
Answers
Answer:
i think the surface would be 2
this question is to hard
Answers
Answer:
A
Step-by-step explanation:
it aligns with the other dots, and you can do exactly 1-1
Answer:
C. (9,4.5)
Step-by-step explanation:
with each ordered pair, the y axis is half of the x axis.