Given:
The number is [tex]3.\overline{5}[/tex].
To find:
The simple fraction of the given number.
Solution:
Let us assume,
[tex]x=3.\overline{5}[/tex]
Then,
[tex]x=3.555...[/tex] ...(i)
Multiply both sides by 10.
[tex]10x=35.555...[/tex] ...(ii)
Subtracting (i) from (ii), we get
[tex]10x-x=35.555...-3.555...[/tex]
[tex]9x=32[/tex]
[tex]x=\dfrac{32}{9}[/tex]
Therefore, the simplified fraction form of the given number is [tex]\dfrac{32}{9}[/tex].
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
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.
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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
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
At a carnival, there are 30 children and 18 adults.
What fraction shows the ratio of children to the total number of people at the carnival
PLZ HELP
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]
Help please I need help
Answer:
The range is 8.
Step-by-step explanation:
The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.
9 - 1 = 8
Have a nice day!
and tell me if I am wrong.
How many distinct "pieces" are in this graph?
Answer:
2
Step-by-step explanation:
the first point and where the line turns
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!
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
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.
For the drawing, provide the missing lengths. x= hypotenuse y= leg
Answer:
Step-by-step explanation:
for hypotenuse
take 30 degree as reference angle
using sin rule
sin 30=opposite /hypotenuse
1/2=5/hypotenuse
10=hypotenuse
for base
using pythagors theorem
H^2=P^2+B^2
10^2=P^2+5^2
100-25=P^2
[tex]\sqrt{75}[/tex]=P
5[tex]\sqrt{3}[/tex]=P
HELP HELP?/)-(:$//))/ s
Answer:
it's the last choice
Step-by-step explanation:
x int: (1/2,0) and y int (0,2)
How many significant figures are in 0.0624000?
Answer:
Use notes and youll get an answer
Step-by-step explanation:
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:
Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division
Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/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]
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
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
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.
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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
Screen Shot 2021-05-25 at 9.56.13 AM
Answer:
where is the question
have a good day :)
Step-by-step explanation:
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.
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Fine the scale factor of the dilation.
Answer:
either 2 or 1/2, depending on what the original shape was
Step-by-step explanation:
going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.
going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.
please help thanks a lot for your help
Answer:
7.48
Step-by-step explanation:
[tex]9^{2} = 5^{2} + x^{2} \\81 = 25 + x^{2} \\x^{2} = 81-25= 56\\x = \sqrt{56} = 2\sqrt{14} =7.48\\[/tex]
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]
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
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
i will give brainliest
Answer:
A) 7p^5q^4
Step-by-step explanation:
to get 5pq² to equal 35p^6q^6 you must multiply by:
7p^5q^4 because you must add the exponents
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