what is the probability
Answer:
1/4
Step-by-step explanation:
the probability on getting blue on spinner is 1/2
1/2 x 1/2 =1/4
Construct a quadrilateral RISK in which RI= 4.5 cm, IS=5.6 cm, SK=6 cm, RK=3.5 cm and RS=7.2 cm. Measure the diagonal KI.
The measure of the diagonal KI is approximately 6.465 centimeters.
The diagonals of the quadrilateral RISK are represented by line segments RS and KI, both measured in centimeters. There are two triangles forming the quadrilateral: [tex]\triangle RIS[/tex], [tex]\triangle RKS[/tex]
By Law of Sine and Law of Cosine we determine the measures of all internal angles:
Triangle RIS
[tex]RS^{2} = RI^{2}+IS^{2}-2\cdot RI\cdot IS \cdot \cos I[/tex] (1)
[tex]\frac{RS}{\sin I} = \frac{RI}{\sin S'} = \frac{IS}{\sin R'}[/tex] (2)
Triangle RKS
[tex]RS^{2} = RK^{2} + KS^{2}-2\cdot RK\cdot KS\cdot \cos K[/tex] (3)
[tex]\frac{RS}{\sin K} = \frac{RK}{\sin S''} = \frac{KS}{\sin R''}[/tex] (4)
[tex]S = S' + S''[/tex] (5)
[tex]R = R' + R''[/tex] (6)
By (1) and (3) we find the values of angles I and K:
[tex]I = \cos^{-1}\left(\frac{RI^{2}+IS^{2}-RS^{2}}{2\cdot RI\cdot IS} \right)[/tex]
[tex]I \approx 90.261^{\circ}[/tex]
[tex]K = \cos^{-1}\left(\frac{RK^{2}+KS^{2}-RS^{2}}{2\cdot RK\cdot KS} \right)[/tex]
[tex]K\approx 94.903^{\circ}[/tex]
By (2) and (4) we find the remaining angles for each triangle:
[tex]S' = \sin^{-1}\left[\left(\frac{RI}{RS} \right)\cdot \sin I\right][/tex]
[tex]S' \approx 38.682^{\circ}[/tex]
[tex]R' = \sin^{-1}\left[\left(\frac{IS}{RS} \right)\cdot \sin I\right][/tex]
[tex]R' \approx 51.057^{\circ}[/tex]
[tex]S'' = \sin^{-1}\left[\left(\frac{RK}{RS} \right)\cdot \sin K\right][/tex]
[tex]S'' \approx 28.969^{\circ}[/tex]
[tex]R'' = \sin^{-1}\left[\left(\frac{KS}{RS} \right)\cdot \sin K\right][/tex]
[tex]R'' \approx 56.128^{\circ}[/tex]
Then, we have the values of angles R and S by (5) and (6):
[tex]S \approx 67.651^{\circ}[/tex], [tex]R \approx 107.185^{\circ}[/tex]
The measure of the diagonal KI is found by the Law of Cosine:
[tex]KI = \sqrt{IS^{2}+SK^{2}-2\cdot IS\cdot SK\cdot \cos S}[/tex]
[tex]KI \approx 6.465\,cm[/tex]
The measure of the diagonal KI is approximately 6.465 centimeters.
To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/6321910
Hurry plz!!! graph y= 5/3x - 9
Answer:
This is what it would look like! Hope this helps!
8 times a certain number is added to 5 times a second number to give 184.
Answer:
8x+5y=184
Hope This Helps!!!
What is the value of this expression when y = 6? 6(4y−3)−9y
Answer:
72
Step-by-step explanation:
6(4(6)-3)-9(6)
6×(24−3)−54
I think the answer is 72, sorry if it is wrong
Answer:
I think it's 72
Step-by-step explanation:
4.6=24
24-3=21
21.6=126
9.6=54
126-54= 72
Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.
Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?
0 pounds
1/2 pounds
1 pound
Answer: Check explanation.
Step-by-step explanation: I think its 0. Not sure. Hope this helped!
Someone please help me
Help me with this!!! PLEASEEEEEEEEEEEEEEEEEEEE…………
worth 10 points thankyou
Answer:
DCBA
Step-by-step explanation:
Construct a bar graph for the relative frequencies given
Jorge has 2% + 1 saved in his piggy bank. Lou Ellen has X-2 saved in the bank. What is
the minimum amount Jorge will have in savings for them to have $163 together. Letj
represent Jorge,
Answer:
yeyeyeeyeyeeyeey
Step-by-step explanation:
what is 3 1/2 X 2 X 9 1/3
Determine the intercepts of the line.
Answer:
x = 5/3 or 1.67 and y= 2.5 or 5/2
Step-by-step explanation:
Firstly to find the x intercept make y= 0 meaning put zero at where ever you find y to help eliminate the y
so
3x + 2y =5
3× + 2 (0)=5
3×=5
×=5/3 or 1.67
Secondly for the y intercept make x = 0 meaning put zero at where ever you find x to help eliminate the x leaving you with y
3x + 2y =5
3 (0) + 2y = 5
2y=5
y= 5/2 or 2.5
Sally's bank account has $650 in it. Every week, Sally withdraws $50 to pay for her dog sitter.
What is the maximum number of weeks that Sally can withdraw the money so there is at least $75
remaining in the account?
Write and solve an inequality to find the solution.
Answer:
11 weeks
Step-by-step explanation:
If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.
I hope this helps have a great day :)
A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm
Answer:
20 cm
Step-by-step explanation:
Use the formula
A=4πr^2
Solving for radius
[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441
We are given –
[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]
A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]Just use the formulas for the sphere's area to determine the radius.
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]
Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].
In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
Two parallel lines are crossed by a
transversal.
Answer:
h = 60˚
Step-by-step explanation:
Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.
Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.
Now, h and m are supplementary angles, meaning they add up to 180˚.
180˚ - 120˚, or 60˚ is your answer.
h = 60˚
The solution is, the value of h is, h = 60˚
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
Look at where it shows the 120˚, and its vertical angle.
Vertical angles are congruent, or the same meaning it's also 120˚.
now, we have,
Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same.
We call this angle m to save time and hopefully confusion.
Now, h and m are supplementary angles,
meaning they add up to 180˚.
so, we have,
180˚ - 120˚,
or 60˚ is your answer.
i.e.
h = 60˚
Hence, The solution is, the value of h is, h = 60˚
To learn more on angle click:
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a point f(–3, 1) is translated along the vector ⟨5, –1⟩.what are the coordinates of the image f′ ?
The budget $_________ per guest
What is the domain of the function represented by the graph
Answer:
all real numbers i think
Step-by-step explanation:
Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)
Answer:
y = -29/19 and x = -44/19
Step-by-step explanation:
3x + 2y = -10 multiply by -2 ⇔ -6x - 4y = 20
2x - 5y = 3 multiply by 3 ⇔ 6x - 15y = 9
Add the two equation -19y = 29
y = -29/19
Use equation one and solve for x
3x + 2(-29/19) = -10
3x - 58/19 = -10
3x = -10 + 58/19
3x = -190/19 + 58/19
3x = (-190 + 58)/19
3x = -132/19
x = - 132/ 19 ÷3 [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]
x = -44/19
What is 2a・420 divided by 3z when z=34 and a=56
461.176470588
Explanation:
2×56=112
112×420=47040
---------------------------------
3×34=102
---------------------------------
47040÷102=461.176470588
Please not answer just for points! I really need help~
Answer:
All I know is that it is the Last Option
Step-by-step explanation:
I did most of this mentally but I can kinda help you out :D
original R: (-5,-5) New R: (-11,-11)
To go back to original R: (-11+6, -11+6)
original U: (-5, 1) new U: (1,7)
HOPE THIS HELPEDDDD :333
Use the graph to find the value of y = sin q for the value of q.
360°
1
90
180
270
1360
e
+
0.2
c.
b. 0
a.
0.4
d. 0.6
Graphs are used to represent functions, and vice versa
The value of y for q = 360 degrees is 0
The sine equation is given as:
[tex]y = \sin(q)[/tex]
When q= 360 degrees, the sine equation becomes
[tex]y = \sin(360)[/tex]
At q= 360, the graph crosses the x-axis.
i.e. the value of the graph is 0.
So, the sine equation becomes
[tex]y = 0[/tex]
Hence, the value of y for q = 360 degrees is 0
Read more about sine equations at:
https://brainly.com/question/3522842
Which is not equivalent to 3/5
Answer: d.
15/24 is not an equivalent fraction of 3/5.
A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she make in September?
Answer:
she earned $324 in September
Answer:
she earned 240 dollars
Step-by-step explanation:
can you please mark me as brainlyist
Help me with this please!!!!
Answer:
je suis désolé je ne vois pas bien
Step-by-step explanation:
et aussi je ne comprend pas l'anglais
3,408 divided by 41
Explanation in traditional method
52 POINTS PLS HELP
Answer:
83.1219512195
Step-by-step explanation:
Hope this helps!
Select perpendicular lines from the given pairs of lines :
Select one:
a.
y = 2x + 3, y = 2x + 7
b.
y = x / 2 + 3, y = − x / 2 + 7
c.
y = 2x + 3, y = − x / 2 + 7
d.
y = 2x + 3, y = x / 2 + 7
(3x-16) = (6x+7) = (11y-32)
Answer:
11y = -32
Step-by-step explanation: