Answers
Given:
A right triangle with angles 30, 60, 90 degrees.
Hypotenuse = [tex]2\sqrt{2}[/tex] mm.
Base = y
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]
[tex]\sqrt{2}=y[/tex]
Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.
Related Questions
Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:
Truck Car Total
Female 5 35
Male 27 21
Total 88
What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that she is a female? Are the events being female and buying a car independent?
Answers
Answer:
Truck Car Total
Female 5 35 40
Male 27 21 48
Total 32 56 88
P(buying a car given a male ) = 21/88 = .238 ≈ 24%
Step-by-step explanation:
Let B = Probability of buying a car and being male 21/88
Let M = Probability of being a male = 48/88
P(B l M) = P(B and M) / P(M) = (21/88) / (48/88) = 21/48 = .4375 = 44%
Happy To Help!!!ASAP PLZ HELP I WILL GIVE BRAINLIEST ALL QUESTIONS NO LINKS PLZZ
Answers
MAth question:
A square pyramid has a height of 9 cm and a base length of 4 cm. Find the volume
Answers
Answer: 48
Step-by-step explanation:
2 1/7 - 1 2/5 give your awenser as a mixed number
Answers
Answer:
dunno la saya , gak bisa bahasa ingeris
1. Find the least common denominator for the fractions. It would be 35.
2. Multiply 1/7 by 5/5 = 5/35
- 1*5=5
-7*5=35
3. Multiply 2/5 by 7/7 = 14/35
- 2*7=14
-5*7=35
4. Since you can’t subtract 14/35 from 5/35, borrow 35/35 from 2.
2 5/35
1 5+35/35
1 40/35
5. Now simplify 40 - 14/ 35 which is 26/35. Since 1-1 = 0, the answer is 26/35.
Please help will mark Brainly
Answers
Answer:
which of the following is not a true statement 4/6 equals 8/12 2/3 equals 10/15 2/10 equals 3/15 3/4 equal 6/9
Step-by-step explanation:
if a borrowed car averges 38 miles per gallon how many miles can u travel with 12 gallons of gas
Answers
PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?
Answers
The pound of cement used based on the information will be C. 2 pounds.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.
The pound of cement used will be:
Gravel = 1 2/3 × 3
= 5 pounds
Cement used will be:
= 2/5 × 5.
= 2 pounds.
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The amount Y (in dollars) Of money in your savings account after X months is represented by the equation Y equals 12.5 X +100 a. graph the linear equation b. how many months will it take for you to save a total of $237.50[QUICK ITS HOMEWORK AND ITS LATE]
Answers
The graph of the linear equation is attached below. After 11 months, the total savings will be $237.50.
What is a saving account?
An account in a retail bank is a savings account. Common characteristics include having a finite number of withdrawals allowed, not having check or connected debit card facilities, having few transfer choices, and not being able to become overdrawn.
Given equation is
y = 12.5x + 100
To find points on the linear equation, putting x = 0, 1 and 2 in the given equation:
y(0) = (12.5 × 0) + 100
y(0) = 100
y(1) = (12.5 × (1)) + 100
y(1) = 12.5 + 100
y(1) = 112.5
y(2) = (12.5 × 2) + 100
y(2) = 25 + 100
y(2) = 125.
The points on the linear equation are (0,100), (1, 112.5), (2,125).
Plot the points and join the points to draw the line to get graph the linear equation.
Putting y = 237.50 in the given equation y = 12.5x + 100:
237.50 = 12.5x + 100
Subtract 100 from both sides:
237.50 - 100 = 12.5x + 100 - 100
137.50 = 12.5x
Divide both sides by 12.5:
x = 137.50/12.5
x = 11
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Pls help!! I need this asappp!
Answers
∠BCD = 45°
Because,∠EDF is right angle which is 90°, its half will be of 45°. Possibly, the value of ∠CBD is given just to create confusion.
if the parent function is y=3×,which is the dunction of the graph?
Answers
On solving the provided question, we can say that - the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
Here,
to solve the system of equations given. .
[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]
system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
[tex]x =10 / 5 = 2\\ x=2[/tex]
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zero of the polynomial p (x) =3x +4 is
Answers
Answer:
4
Step-by-step explanation:
Substitute by 0 in the function
Step-by-step explanation:
p(x) = 3x + 4
p(0) = 3(0) +
p(0) = 0 + 4 => 4 Ans.
Someone please solve this pageee!!
Answers
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]
and y = 8
x = 59
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Find the value of x
Answers
Answer:
x = 30
Step-by-step explanation:
24(24 + x) = 36² => tangent-secant theorem
Open the bracket
24*24 + 24*x = 36²
576 + 24x = 1,296
24x = 1,296 - 576
24x = 720
Divide both sides by 24
24x/24 = 720/24
x = 30
A __________ is a promise by a borrower to repay a loan at a specified rate of interest.
Select one:
a. Bond
b. Premium
c. Quoted Price
Answers
53/100-27/100 = ?????
Answers
Answer:
26/100
Step-by-step explanation:
53/100-27/100 = ?
53-27 = 26
26/100
Jordan is 12 years older than Anna. The
sum of their ages is 50. Find the age of
each person.
First complete the equations below, where I stands for
Jordan's age and A stands for Anna's age.
J = [?] + A; J + A = []
Help
Answers
9514 1404 393
Answer:
J = [12] +AJ + A = [50]Step-by-step explanation:
If Anna's age is represented by A, then 12 more than Anna's age will be ...
12 + A
Jason's age is said to be 12 more than Anna's age, so ...
J = 12 + A
__
The sum of their ages will be J + A. That is said to be 50, so ...
J + A = 50
_____
These equations can be solved by using the first to substitute for J in the second.
(12 +A) +A = 50
2A = 38 . . . . . . . . subtract 12
A = 19 . . . . . . . . . . divide by 2
J = 12 +19 = 31 . . . find Jason's age
Jason is 31; Anna is 19.
Write each percent as a fraction and as a decimal.
7/10%
I NEED THIS BY 2:30PM
Answers
The value of 10% as a fraction and a decimal will be 1/10 and 0.1.
How to calculate the percentage?From the information, we want to write the percentage as a fraction as well as a decimal. A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.
10% as a fraction will be calculated by dividing 10 by 100. This will be:
= 10 / 100
= 1 / 10
10% as a decimal will be calculated by dividing 10 by 100 and giving it in decimal form.
= 1/10
= 0.1
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. Complete question
Write 10% as a fraction and a decimal
the sum of a four angles of quality is 180 true or false
Answers
Answer:
the sum of a four angles of quadrilateral is 180.False
Note: its 360°
false
hope this helps you
Which of the binomials below is a factor of this trinomial? X^2 - 14x + 24
Answers
Answer:
(x - 12)(x - 2)
Step-by-step explanation:
[tex] {x}^{2} - 14x + 24 \\ \\ = {x}^{2} - 12x - 2x + 24 \\ \\ = x(x - 12) - 2(x - 12) \\ \\ = (x - 12)(x - 2)[/tex]
If the HCF is 5 and the product of the two numbers is 70, find the value of LCM.
Answers
If the HCF is 5 and the product of the two numbers is 70, then the value of LCM is 14.
Do two numbers make a product when they are the LCM of two numbers?The smallest number that can be divided by both numbers is known as the least common multiple, or LCM, of two numbers. The product of the two numbers is the LCM if their greatest common divisor is 1, in which case their product is 1.
Using the fundamental theorem of mathematics, how do you find the HCF and LCM?First, multiply both numbers by their prime factors to express them. Then, multiply the common factor with the highest power by the remaining factors to obtain the LCM. Take the common factors with the lowest power and multiply them to determine HCF.
To find the LCM of two numbers, you can use the formula: LCM = (a * b) / HCF.
In this case, we know that the HCF is 5, and the product of the two numbers is 70. Therefore, we can substitute these values into the formula:
LCM = (70) / 5 = 14.
So the LCM of the two numbers is 14.
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Divide. Round to the nearest tenth.
3.5/2.29
Answers
Answer:
The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.
helppppp
!NO LINKS, NO FILES!
please :)
Answers
Answer:
53
Step-by-step explanation:
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What is the meaning of panchtantra???
Answers
Answer:
✍ PANCHTANTRA :⎆ The word “Panch.atantra” is a combination of the words Pancha – meaning five in Sanskrit, and Tantra – meaning weave. It's an ancient Indian inter-related collection of animal fables in verse and prose, in a frame story format.
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
Answer:
Five treatises or five chapters
The saucer for Aisha's teacup has a diameter of 6 inches. What is the saucer's radius?
Answers
Ln 4 - Ln x = 2
Solve for x showing all steps. Round to the nearest hundredth.
Please give step by step instruction
Answers
In logs, when there is a minus you have to divide so the first step is to do the following :
Ln (4/x) = 2
Then you have to convert the logarithm into exponential form using that ln (x) = b is equal to x = e^b. Therefore the next step should look like this :
4/x = e^2
Then multiply both sides by x, which becomes :
4 = (e^2)(x)
Then divide both sides by e^2. Which becomes :
4/e^2 = x
0.541341 = x
To the nearest hundredth, it becomes 0.54
Train A and Train B both leave the station at 9am. Train A stops every 15 minutes. Train B stops every 24 minutes. At what time do both Trains stop at the same time again?
Answers
Answer:
here
Step-by-step explanation:
180 minutes
What value for the
constant, h, in the equation
shown below will result in an infinite number of
solutions?
6t + 18 = h(3x + 9)
Answers
Therefore , As a result, h = 2 is the answer to the equation in the given question.
Explain equation.An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra is the fundamental foundation of mathematics.
Here,
The formula is as follows: 6x + 18 = h(3x + 9)
To ensure that the expression has an unlimited number of answers, h's value must be determined.
Take the expression now and continue solving it.
=> 6x + 18 = h(3x + 9)
=>3hx + 9h= 6x +8
The expression will have an endless number of solutions if the coefficients of the left-hand side and the right-hand side are equal.
Therefore, 3h = 6 and h = 2
As a result, h = 2 is the answer to the equation in the given question.
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Two people go to the mall,Mr A said [ I buy 5 bottle of juice and 3 bottle of water , I pay
314 dollars ] . Mr B said [ I buy 1 bottle of juice and 3 bottle of water , I pay 178 dollars ]
How much is a juice ?
Answers
Answer: $34
Step-by-step explanation:
They buy the same number of bottles of water
Mr A buys 4 extra bottles of juice and pays $136 more. (5-1=4 and 314-178=136)
Each bottle of juice must cost $34. (136 / 4 = 34)
This assumes the bottles of juice are all the same price!
The water bottles will cost (178 - 34) / 3 = $48.
The values in this problem are unrealistic!
Based on the Theoretical Probability of rolling a 1, what is the expected number of times a 1should have been rolled out of the 15 times in the experiment? How does this compare to the Experimental Probability?
Answers
Answer:
420 69
Step-by-step explanation:
420 420
please answer the following question, if you send me a link then you will be reported
Find the surface area of the triangular prism.
Answers
Answer:
16 x 12 = 192
192 x 2 = 384
10 x 8 = 80, 80 divided by 2 = 40
40 x 2 = 80
10 x 16 = 160
Add all given areas:
384 + 80 + 160 = 624 cm2 is your answer.