Answers
[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]
The measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
A right-angle triangle is shown in the picture.
To find the side length of the hypotenuse apply the sin ratio
sin30 = side opposite to the angle/hypotenuse
1/2 = 8/x
x = 8(2)
x = 16 cm
Thus, the measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.
Learn more about the right-angle triangle here:
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Related Questions
600kg is divided between misal and pratick so that misal gets 3/5 of the amount. How much does prayick get?
Answers
Answer:
240
Step-by-step explanation:
Misel: 600kg*3/5=360
Patrick: 600-360=240
An object travels 43 miles. Given 1 mile 5280 feet, enter the distance the object travels in feet.
Answers
Answer:
43 x 5280= 227040
Step-by-step explanation:
In a certain board game, a player who lands on the Double Spin
space earns two spins of the pointer shown. This player is
awarded a free turn if the pointer lands in the red section both
times. What is the probability that a player who lands on the
Double Spin space will win a free turn?
I
Red
Green
Blue
Make a table to describe the possible outcomes.
a
.
Red (R)
Green (G)
R, G
.
RR
Blue (B)
R, B
GB
BB
Red (R)
Green (G)
Blue (B)
There are 9 possible outcomes.
Each outcome is equally likely.
The one favorable outcome is
circled.
.
GR
G, G
B, G
BR
The probability that a player will win a free turn is P(R, R) = 5.
9.
Answers
a gate keeper earns 31,000 naira per month. he gets 1000 naira of his income as tax free. if he pays tax at the rate of 6 kobo per naira, how much is his monthly salary after paying his income tax?
Answers
Answer:
28,200 naira would be his income after he paid 1800 to taxes
Step-by-step explanation:
First, let's use the information to find out how much he got taxes on.
We should deduct 1000 naira from his monthly income because it is not taxed leaving 30,000 of taxable income
Then multiply his income by the percentage of tax he receives which is .06
30,000 x .06 = 1800
Then subtract money that is taxed by his income
30,000 - 1800 = 28,2000
The area formula for rectangular shapes is A=LW. What is the area of a rectangular shape with the dimensions of [tex]\sqrt[4]{11}[/tex] and [tex]\sqrt[4]{3}[/tex]?
Answers
Hi!
Given the area formula ~ A = LW
We need to multiply the two values:
[tex]\sqrt[4]{11} * \sqrt[4]{3}[/tex]
Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.
[tex]11*3=33[/tex]
Now, we apply the same root as before:
[tex]\sqrt[4]{33}[/tex]
Therefore, your answer is [tex]\sqrt[4]{33}[/tex]
Now, if you need that as a numerical value rather than a radical, it's roughly [tex]2.397[/tex]
Answer:
[tex]\textsf{area}=\sqrt[4]{33}\:\textsf{square units}[/tex]
Step-by-step explanation:
Formula
Area of a rectangle = length × width
Given:
[tex]\textsf{length}=\sqrt[4]{11}[/tex][tex]\textsf{width}=\sqrt[4]{3}[/tex]Substitute given values into the formula:
[tex]\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}[/tex]
[tex]\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:[/tex]
[tex]\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}[/tex]
The change in the price for day 2 is of the change in the price for day 3. At the end of day 5,
the price of Meredith's stock is $32.05. What is the change, in dollars, in the price of the stock
for day 5?
Answers
Answer:
+ 0.26
Step-by-step explanation:
the visual representation of data that is used to show how all the parts of something are related to the whole
Answers
Answer:pie charts?
Step-by-step explanation:
There are four red ,four blue, and two green marbles in a bag .if one marble is chosen at random from the bag what is the probability that the marble will be green
Answers
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10There are two green marbles out of the 10 marbles. 2/102 divided by 10 is .20 or 20% Therefore, there is a 20% probability that the marble will be green.What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
O 2
03
O 7
O 11
Answers
Answer:
7
Step-by-step explanation:
I took the k12 quiz
Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
i need help pleaseeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
[tex]83[/tex]
Step-by-step explanation:
[tex]5 - (18 \div 6) + (2 + 7)^{2} [/tex]
Divide the numbers ⬇
18 ÷ 3= 3[tex]5 - 3 + (2 + 7)^{2} [/tex]
Add the numbers ⬇
2 + 7= 9[tex]5 - 3 + 9 ^{2} [/tex]
Evaluate the power ⬇
9² = 81[tex]5 - 3 + 81[/tex]
Calculate the sum or difference ⬇
[tex]5 - 3 + 81 = 83[/tex]
Hope this helps!! :)
where does a line and a plane intersect?
a. point
b. plane
c. line
Answers
Answer:
A. point
Step-by-step explanation:
An intersection of a line and a plane is at the point.
David went to the store and bought a bag of
jellybeans for $1.73, an Easter basket for
$5.04, and a floppy bunny for $8.22. Assuming
there is no sales tax, how much change should
David receive if David gives the cashier a
twenty-dollar bill
Answers
Answer:
$5.01
Step-by-step explanation:
20 - (1.73 + 8.22 + 5.04)
20 - (9.95 + 5.04)
20 - 14.99
5.01
Therefore, my answer is right.
on the map, 2 cm equals 1 km. what is the actual length of a street that is 10 cm long on the map?
Answers
Answer: 5km
Step-by-step explanation: 2cm=1 km
10cm divided by 2 is 5km
What is Limit of j (x) as x approaches 3?
Answers
Answer:
lim x - 3 + f ( x ) - As 3 approaches 3 from the right, the value of f ( x ) approaches 0. lim x - 3 f ( x ) - Since the value of f ( x ) as x approaches 3 from the left does not equal the value as x approaches 3 from the right, this limit does not exist.
In circle D with m \angle CDE= 60m∠CDE=60 and CD=15CD=15 units, find the length of arc CE. Round to the nearest hundredth.
Answers
Answer:
Length of arc CE = 3.14 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 3 units
Angle between radius = 60°
Find:
Length of arc CE
Computation:
Length of arc = [θ/360][2πr]
Length of arc CE = [60/360][2(2/7)(3)]
Length of arc CE = [60/360][2(3.14)(3)]
Length of arc CE = [1/6][6(3.14)]
Length of arc CE = 3.14 unit (Approx.)
PLS HELP ME WITH THIS!!!
Answers
Answer:PLS HELP ME WITH THIS!!!
PLS HELP ME WITH THIS!!!
Step-by-step explanation:PLS HELP ME WITH THIS!!!
is your correct answer
The percentages of students in the school who attended the talent show for the years 2008 to 2013 are shown, This year, the school has a total of 380 students, How many students do u expect to attend the talent show this year ? It's super important that u say a good explanation or u don't get the BRAINLIEST!
Answers
Answer:
357
Step-by-step explanation:
number of students that would attend this year = percentage of students that attended in 2013 x total number of students
94% x 380 = 357.2
a plumber had 2 plastic pipes that were each 9 ft long. he used all of the 2 pipes and cut them into sections that were each 1/10 foot long. how many sections of pipe did he have in all
Answers
Answer:
180
Step-by-step explanation:
so 1 section is 0.1 feet long, that is 10 sections per foot(since 0.1*10 = 1)if you have 9 feet, imagine how many 0.1 feet can fit in ityou can fit 90 sections in 9 feet, since 9 / 0.1 = 90since you have 2 pipes, multiply 90 by 2, which is 180so you would have 180 sectionsAdd. write your answer in simplest form.
-4 _/135 + 7 _/15
Answers
[tex] \huge\quad\qquad\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 4 \sqrt{135} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 12 \sqrt{15 } + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 5 \sqrt{15} [/tex]
50 points each question. Please help. How do I solve?
Answers
[tex]~~~~~~\tan^{-1}(xy) = \sin^{-1}(4x+4y)\\\\\\\implies \dfrac d{dx} \left[ \tan^{-1}(xy)\right] = \dfrac d{dx} \sin^{-1}\left( 4x+4y\right)\\ \\\\\implies \dfrac{1}{1+(xy)^2} \left[ \dfrac{d}{dx} (xy)\right] = \dfrac{1}{\sqrt{1-(4x+4y)^2}} \cdot \dfrac{d}{dx}(4x+4y)\\\\\\\implies \dfrac{1}{1+x^2 y^2} \left(x\dfrac{dy}{dx}+y \right)=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\\\\\\\[/tex]
[tex]\implies \left(\dfrac{x}{1+x^2y^2} \right) \dfrac{dy}{dx} + \dfrac{y}{1+x^2y^2}=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\[/tex]
[tex]\\\\\implies 0 \cdot \dfrac{dy}{dx} +0 = \dfrac{1}{\sqrt{1 -0}} \left(4+4 \dfrac{dy}{dx} \right) ~~~~~~~~~;\left[ \text{at}~~ (0,0) \right]\\\\\\\implies 4+4 \dfrac{dy}{dx} = 0\\\\\\\implies \dfrac{dy}{dx} = -\dfrac 44\\\\\\\implies \dfrac{dy}{dx} = -1\\\\\text{So, the slope of the tangent line at (0,0) is}~ -1\\ \\\\\text{The equation of tangent line,}\\\\~~~~~~y-0 = -1(x-0)\\\\\implies y=-x[/tex]
Please Help Find the volume
Answers
Answer:
0.065 units ³
Step-by-step explanation:
Volume of sphere = 4/3 π r³
=> 4/3 × 22/7 × 1/4 × 1/4 × 1/4
=> 0.065 units³
Answer:
[tex]\frac{1}{48}[/tex] π units³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius ) , then
V = [tex]\frac{4}{3}[/tex] π × ( [tex]\frac{1}{4}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × [tex]\frac{1}{64}[/tex] ( cancel 4 and 64 on numerator/ denominator by 4 )
= [tex]\frac{1}{3}[/tex] π × [tex]\frac{1}{16}[/tex]
= [tex]\frac{1}{48}[/tex] π units³
Convert the measurement to the specified five unit round to 2 decimal Place necessary
Answers
Answer:
50.31 yards
Step-by-step explanation:
divide the length value by 914.4
46,000/914.4 = 50.31
Mark brainliest please!
Find the sum of all multiples of 7 from 7 to 126, inclusive.
Answers
Assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $1000. What percent of day care costs are more than $8600 annually?
Answers
Answer:
65.54% (nearest hundredth)
Step-by-step explanation:
Given:
[tex]\sf \mu=9000[/tex][tex]\sf \sigma=1000[/tex][tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]
P(X > 8600) = 1 - P(X ≤ 8600)
= 1 - 0.3445782584
= 0.6554217416
= 65.54%
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
Therefore, area is 50.24
Step-by-step explanation:
⇒ Area = [tex] \sf \pi {r}^2 [/tex]
Radius = 4
⇒Area = 3.14 × 4²
⇒Area = 50.24
The answer:= 12π
I got this on khan academy.
There are 5 blue birds, 6 green ones and 3 black ones. If I randomly catch 2 birds, what is the probability the first bird is black and the second is green?
Answers
Answer:
So you must first get the total of all the birds, which is going be a fraction of course , that being 14/14 birds in total, since there are only 3 black birds the probability of me getting a black one 3/14 because there are fourteen in total, and the probability for the green birds is 6/14.
The combined probability that the first bird is black and the second is green is 0.0918
What is Probability?Probability is the likeliness of an event to happen.
Total Blue birds = 5
Total Green birds = 6
Total Black birds = 3
Total birds = 14
The probability of selecting two birds such that the first bird is black and the second is green.
Probability = ( No. of the desired outcome )/( Total outcomes)
The probability of selecting black bird is 3/14
The probability of selecting green bird is 6/14
Therefore, the combined probability that the first bird is black and the second is green is
= (3/14) * (6/14)
= 18/196
= 0.0918
To know more about Probability
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What is the measure of \angle x∠xangle, x?
Answers
Answer:
x° = 74°
Step-by-step explanation:
The supplementary angle of 106° is x°
x° = 180° - 106° = 74°
Hope this helps
The Drama Club is selling tickets to the school play. The tickets are $6 for adults and $3 for students. The club needs to raise $1.200 to pay for the costumes and equipment. The auditorium can seat no more than 300 people.The club makes $5for every adult ticket and $2 for every student ticket it sells. Use the information below.
let x= adult tickets
let y= student tickets
then 6x+3y>1200
and x+y<300
profit function P=5x+2y
how many tickets for each type should be colf to maximize the total profit?
A 100 adult tickets and 200 students
B 300 adult and 0 students
C 0 adult and 300 students tickets
D 200 adult tickets and 0 student
Answers
Answer:
B) The profit is maximized when 300 adult tickets and 0 student tickets are sold
Step-by-step explanation:
We are given this equation for the profit made by selling tickets to the school play.
P = 5x + 2y
where x = adult tickets; y = student ticketsWe see that adult tickets are worth $5.00 each, while student tickets are worth less at $2.00 each.
It makes sense that selling more adult tickets than student tickets would result in greater profit.
Therefore, the answer choice that states B) The profit is maximized when 300 adult tickets and 0 student tickets are sold is the correct answer.
a bottle of ketchup as a net weight of 22 ounces. a serving size is 1/2 ounce. how many servings are in the bottle?
Answers
Answer:
44 servings are in the bottle
Answer:
44
Step-by-step explanation:
One trick for dividing fractions is:
1. Keep the first fraction. 22/1 divided by 1/2
2. Change division into multiplication. 22/1 times 1/2
3. Flip the second fraction. 22/1 times 2/1
22*2 is 44
1*1 is 1
The final answer should be 44/1