Answer:
10 inches
Step-by-step explanation:
Surface Area = π R² + π R L [ L is Slant Height ]
200 π = π (10)² + π (10) L
200 π = π (100) + π (10) L
200 π - 100 π = 10 π L
100 π = 10 π L
100 π / 10 π = L
10 = L
L = 10 inches
Hope this Helps......
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Given terms :
Surface area (a) = 200 πradius = 10 inchesNow, we know
[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]
[tex]200\pi = \pi \times 10 \times (10 + l)[/tex][tex] \dfrac{200\pi}{10\pi} = 10 + l[/tex][tex]20 = 10 + l[/tex][tex]l = 10 \: in[/tex](note : " l " represents slant height.)
Therefore, Measure of slant height (l) :
[tex] \huge \boxed{10 \: \: in \: }[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Solve the trigonometric equation over the interval [0, 2π)
[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]
Show your work, thanks!
Answer:
θ = 0° , 60°
Step-by-step explanation:
[tex]\cos^2\theta + \sqrt{3}\sin \theta \cos \theta = 1[/tex]
Substract both the sides from 1.[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 1 - 1[/tex]
[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 0[/tex]
Rearrange the terms in L.H.S.[tex]=> (\cos^2 \theta - 1 )+ \sqrt{3} \sin \theta \cos \theta = 0[/tex]
Replace the terms in brackets with '-sin²θ' by using the identity (sin²θ + cos²θ = 1).[tex]=> -\sin^2 \theta + \sqrt{3} \sin \theta \cos \theta = 0[/tex]
Take 'sinθ' common from the whole expression in L.H.S.[tex]=> \sin \theta(- \sin \theta + \sqrt{3}\cos \theta) = 0[/tex]
Now solve each part separately :-
1) [tex]\sin \theta = 0[/tex]
[tex]=> \theta = \sin^{-1}0 = 0[/tex]
2) [tex]-\sin \theta + \sqrt{3} \cos \theta = 0[/tex]
Divide both the sides by 'cosθ'.[tex]=> \frac{-\sin \theta + \sqrt{3}\cos \theta }{\cos \theta} = \frac{0}{\cos \theta}[/tex]
[tex]=> \frac{-sin \theta}{\cos \theta} + \frac{\sqrt{3} \cos \theta}{\cos \theta} = 0[/tex]
[tex]=> -\tan \theta + \sqrt{3} = 0[/tex]
Add both the sides with 'tanθ'.[tex]=> -\tan \theta + \sqrt{3} + \tan \theta = 0 + \tan \theta[/tex]
[tex]=> \tan \theta = \sqrt{3}[/tex]
[tex]=> \theta = \tan^{-1}\sqrt{3} = 60[/tex]
∴ θ = 0° , 60°
Answer:
Solution given:
[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]
[tex] 1-sin^{2} \theta+\sqrt{3} sin \theta cos \theta = 1[/tex]
[tex] 1-1 +sin^{2}\theta=\sqrt{3} sin \theta cos \theta = 1[/tex]
[tex] Sin\theta(sin\theta -\sqrt{3}cos\theta)[/tex]
Either
[tex] sin\theta=\sqrt{3} cos \theta [/tex]
[tex] \sqrt{sin\theta}{cos \theta}=\sqrt{3} [/tex]
[tex] Tan \theta =\sqrt{3}[/tex]
[tex] Tan \theta =Tan 60,Tan(180+60),Tan (360+60)[/tex]
[tex] \theta =60°,240°,420°[/tex]
in terms of π is
[tex] \theta =⅓π,\frac{4}{3}π,[/tex]
Or
[tex] Sin\theta=1[/tex]
[tex]Sin\theta=Sin0° ,Sin180°[/tex]
In terms of π is
[tex]\theta=0π,π[/tex]
so
[tex]\theta=0π,⅓π,π,\frac{4}{3}π,[/tex]
In circle O, PQ is a tangent and PRT is a secant. If angle P is 56 degrees and arc QT is 192 degrees, what is the measure of arc QR(type in numbers only)
Answer:
80, I got it right so you should get it too
tan (x) sin (x) + sec (x) cos2 (x) = ?
Answer:
look
Step-by-step explanation:
I hope it's helpful , PLEASE MARK ME BRAINLIEST AND FOLLOW ME LOTS OF LOVE FROM MY HEART'AND SOUL DARLING TEJASVINI SINHA HERE ❤️
help please help me please
Answer:
B
Step-by-step explanation:
Only 1 because
1/1 = 1
2/1 = 2
The answer can't be 0 because we can't divide by zero.
The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places
Same thing for the 4
A right rectangular prism and its dimensions are shown.
5 cm
5
Uw
2cm
3 cm
What is the volume, in cubic centimeters, of the rectangular prism?
O
O A. 1530
OB. 30
О С. 30.
20
OD. 42
Answer:
42
Step-by-step explanation:
15/4 x 2/1 x 28/5 = 840/20 = 42
Using the figure, find the missing values. Round each value to the nearest whole number.
Answer:
44
14
19
47
Step-by-step explanation:
using trig functions
What type of graph is best to use to show data that are parts of a whole?
Answer:
Pie charts
Step-by-step explanation:
A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Suppose a cookie company has found that the number of cookies it sells is inversely proportional to the price of each cookie. If it sells 50 cookies per day when the price of each cookie is $4, how many cookies would it sell per day if the price of each cookie were $2?
Answer:
Step-by-step explanation:
The inverse proportional formula is
[tex]y=\frac{k}{x}[/tex] where y is the number of cookies sold, and x is the price per cookie. If we fill in the info given, we can find what it is we are being asked.
When x = 4 (the price of each cookie is $4), 50 cookies are sold (y = 50). Filling in to solve for k:
[tex]50=\frac{k}{4}[/tex] so
k = 200. Using that value of k along with a price of 2 (x = 2), we can find the number of cookies sold, y.
[tex]y=\frac{200}{2}[/tex] so
y = 100 cookies sold when the price is $2 per cookie.
[tex]if \: 8x = 16y \: then \: \frac{x}{y } is[/tex]
Answer is 2
If 8x = 16y
on rearranging question,
x/y = 16/8 = 2
hey all !! what's the answer ??
[tex]\HUGE{\mathrm{Question :}}[/tex]
[tex]\sqrt{44+20\\}[/tex]
Answer:
[tex]\sqrt{44+20}[/tex]
[tex]Add: ~44+20=64[/tex]
[tex]=\sqrt{64}[/tex]
[tex]Factor:\:64=8^2[/tex]
[tex]=\sqrt{8^2}[/tex]
[tex]\sqrt{8^2}=8[/tex]
[tex]ANSWER: 8[/tex]
-------------------------
hope it helps..
have a great day!!
Answer:
[tex]\sqrt{44+20}=\sqrt{64}=\sqrt{8²}=±8[/tex]
is a required answer.
The volume of a cylinder measures 2,797.74 in. The radius of the cylinder is 9 in. Determine the height.
Answer:
11 inches
Step-by-step explanation:
V(cylinder) = πr²·h
2797.74 = 81π·h
h = 2797.74 ÷ 81π
h ≈11
In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP
The order of the answers doesn't matter.
================================================
Explanation:
a || b means the two lines a and b are parallel
If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.
Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.
Solve for x
|5x+15| = 100
5x+15 = 100 or 5x+15 = -100
5x = 100-15 or 5x = -100-15
5x = 85 or 5x = -115
x = 85/5 or x = -115/5
x = 17 or x = -23
The value of x is 17.
What is alternate exterior angle?When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.
Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.
Given:
<1 = 5x + 15
<2 = 100
Using alternate exterior angle
5x + 15 = 100
5x = 100- 15
5x = 85
x= 85/5
x= 17
Hence, the value of x is 17.
Learn more about alternate exterior angle here:
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I need help pleaseeeee
Answer:
C. 8.66 in
Step-by-step explanation:
Using the formula of circumference of a circle
[tex]2\pi \: r [/tex]
then,
first find r by plagging in the given data.
so, r = 4.33 in
since it's diameter needed, then
r + r = d
4.33 in + 4.33 in = 8.66 in
pls help me
In Charlee's closet she has the following uniform shirts: 2 white, 1 yellow, 2 green, and 3 blue. If she chooses a shirt at random, what is the probability the shirt will be blue?
Answer:
because she wants to reduce from the amount of it amd wants to use it much so she would have blue is not that much!
I don't know exactly but that is my suggestion
Answer:
The answer would be 3/8.
Un curso esta formado por 12 mujeres y 15 hombres ¿cual es la probabilidad de que las personas en el cargo de presidente y visepresidente del curso sean ambas mujeres?
Answer:
P = (12/27)*(11/26) = 0.188
Step-by-step explanation:
Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:
La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:
p = 12/27
Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)
Entonces ahora la probabilidad es:
q = 11/26
La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.
P = (12/27)*(11/26) = 0.188
HELP HELP?/)-(:$//))/ s
Answer:
it's the last choice
Step-by-step explanation:
x int: (1/2,0) and y int (0,2)
find the distance between the points (3 4) and (4 3)
Answer:
[tex]\sqrt{2}[/tex] or 1.414213
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
on March 1, Tessa Obato deposited a check for $9,364.85 in a savings account at state bank. The account pays 4% interest calculated on a daily basis. five days later, on March 6, she withdrew $1,000.00. on March 18, 12 days later, she withdrew $2,000.00. On March 28, 10 days later, she withdrew another $2,000.00. three days later, on March 31, the bank computed interest. how much simple interest did her money earn?
which ones out of the three are no solution?
1. 10 + 6x = 15 + 9x – 3x
2. 11 + 3x – 7 = 6x + 5 – 3x
3. 11 + 3x – 7 = 6x + 5 – 3x
Answer: I'm going to say 3
Step-by-step explanation:
ES URGENTE me ayudan?
Answer:
[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}[/tex]
Step-by-step explanation:
Given expression is,
[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3[/tex]
By solving the given expression,
[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3[/tex]
[tex]=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3[/tex]
[tex]=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3[/tex]
[tex]=(\frac{5}{6}\times \frac{5}{1})^{-1}+3[/tex]
[tex]=(\frac{25}{6})^{-1}+3[/tex]
[tex]=\frac{6}{25}+3[/tex]
[tex]=\frac{6+(25\times 3)}{25}[/tex]
[tex]=\frac{81}{25}[/tex]
29. A lamppost casts a 18-foot shadow along the ground when the angle of elevation of the Sun is 52°.
Which equation can be solved to find the height of the lamppost, h?
A. cos 52°= 18/h
B tan. 52°=18/h
C. cos 52°= h/18
D. tan 52° = h/18
Answer:
a
Step-by-step explanation:
b
The equation can be solved to find the height of the lamppost 'h' is
D. tan52° = h/18
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
From the given information we have a reference angle of 52° opposite to it is the height(h) of the pole and a shadow which is the adjacent side is 18 feet.
We know, tan = opposite/adjacent.
Therefore, tan52° = h.18.
learn more about trig ratios here :
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Screen Shot 2021-05-25 at 9.56.13 AM
Answer:
where is the question
have a good day :)
Step-by-step explanation:
What expression is equivalent to 3-(-2+5)
Answer:
Ok ok, I see. So the answer is -9.
Step-by-step explanation:
We know the expresion is:
-3(-2+5)
We need to distrubute the -3 to what is in the parthese.
When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:
-3*-2=6
and:
-3*5=-15
Which we can rewrite as:
(6-15)
Subtract 15 from 6 and you get -9:
6-15=-9
Sorry hope this helps!
Consider this expression.
7110 = 90
What is the value of this expression?
Enter your answer in the box.
Answer:
79 is the value
Step-by-step explanation:
pleaseee helpp im giving away good points
Answer:
x = 1°
Step-by-step explanation:
Bisection means splitting the angle in to 2
So that means 4x-1 = 2x+1
4x-1 = 2x +1
4x = 2x + 2
2x = 2
x = 1°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
9 is what percent of 60
Answer:
15%
Step-by-step explanation:
[tex]\frac{9}{60} = \frac{3}{20}[/tex]
[tex]\frac{3}{20} = 0.15\\[/tex]
[tex]0.15 = 15%[/tex]
Answer:
if it's given 60,
so 1%=6
so 15/10=9
so answer is 1.5
An Australian Wallaby walked 5 miles to the coast in 3 and 3/4 hours. What was the wallabys speed in miles per hour?
Answer:
1 1/3 mph
Step-by-step explanation:
distance = rate x time
5 = 3.75r
5/3.75 = r
r = 1 1/3 mph
2. Brandon has 4 1/2 cups of oats. He uses 3 1/4 cups to make oats for a camping trip. He saves the rest of the oats to feed to his bird, Coco. If Coco needs ¼ of a cup of oats each day, how many days can Brandon feed Coco with the oats he has left? Answer must be a whole number
4 1/2 - 3 1/4
.= 9/2 - 13/4
= 18-13/4
= 5/4 cups
= 5/4 cups ÷ 1/4 cups
= 5/4 × 4/1
= 20/4
= 5 days
Days can Brandon feed
How can I solve y^2 + 13y + 12?
[tex](y + 1)(y + 12)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Mary Beth bought 45 oz of flour for her bakery. She used 17.3 oz to make a loaf of bread, and 0.83 oz for each muffin. How many muffins did Mary Beth make if she had 18.57 oz of flour left over?
Answer:
11
Step-by-step explanation:
this equation can be derived from the question
45 oz - 17.3 oz - 0.83x oz = 18.57 oz
where x = number of muffins made
combine like terms
45 oz - 17.3 oz - 18.57 oz = 0.83x
9.13 = 0.83x
x = 9.13 / 0.83
x = 11