Answers
x = 6(√2)
Step 1:
Say, 6 is perpendicular and x is the hypotenuse.
Step 2:
As we know sine is the ratio of perpendicular and hypotenuse.
∴ [tex]sin 45 = \frac{perpendicular}{hypotenuse}=\frac{6}{x}[/tex] ......................................(1)
Step 3:
As we know, sin45 = 1/√2
∴ put the value in equation 1
⇒ [tex]\frac{1}{\sqrt{2}} = \frac{6}{x}[/tex]
By solving the above equation, we get,
x = 6(√2)
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Related Questions
Using the Vertical Line Test
Which graph does not represent a function?
Answers
Using the Vertical Line Test, the graph does not represent a function is ellipse, the third graph.
What is vertical line test?The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.
Any vertical line in the x y plane must intersect the graph of a function at most once.
In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.
From the given graphs, the third graph which is of ellipse crosses the vertical line twice.
Thus, the graph does not represent a function is ellipse.
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If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?
Answers
=======================================================
Explanation:
Let's use an example to see why this is
A = {1,2,3,4,5,6,7}
B = {x,y,z}
A U B = {1,2,3,4,5,6,7, x,y,z}
We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).
There are 7 items in set A, and 3 items in set B.
Therefore, we have 7+3 = 10 items in set A U B
The symbol U refers to the set union operator.
If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.
The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.
-----------------
If you want a formula to write down on a notecard or reference sheet, then it would be
n(A U B) = n(A)+n(B)
where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region
frank says that he typically makes about $27 per day because the mode is 27. is frank's conclusion appropriate? explain.
Answers
If Frank says that he typically makes about $27 per day because the mode is 27. Yes, Frank's conclusion is appropriate. And mean is 28.
The complete question is given below.
Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
The data is given below.
25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28.
The measures of center and variability that best summarize Frank's data will be
Mean = (25+30+24+20+20+22.5+75+27+27+22+22+27+22.5+28) / 14
Mean = 392 / 14
Mean = 28
If Frank says that he typically makes about $27 per day because the mode is 27.
Yes, Frank's conclusion is appropriate.
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Find the measure of angle x. Round your answer to the nearest hundredth
Answers
Tan x = 8/15
x = tan^-1 (8/15)
x = 28.07
Can you help me solve this equation I been trying to search a video explaining this but nothing and I gaved up studying for six days and now I am trying to get back to track anyways ... The equation is a linear equation : f(x)=-x-11 with the following
1.4f(-2)+5f(1)
2.-5f(12)-2f(-9)
3. 3f(5)x f(2)
4.f(9)/f(-6)
Answers
Answer:
4 I promise
jhjhhhhjjj bug check txt TC gym c rectify txt
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answers
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
20 points! Which graph represents two functions that are decreasing on all points across the domain that is common to both functions?
Answers
D(x) is decreasing
Answer:
Its C or D, I would say C tho
Step-by-step explanation:
I took the test and both A and B are wrong
Can someone help me with this question ?
Answers
Answer:
it is median
Step-by-step explanation:
because it have number in alphabetic order
If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?
Answers
Answer:
6 + 2 + 3 + 4 = 15
so 15 blocks
a block is about 0.05 miles
so 15 blocks in miles is 0.75 miles
help me, please ist question 1
Answers
Answer:
432
Step-by-step explanation:
To find the volume of a rectangular prism you multiply, L × W × H
L = 6 W = 8 H =9 you plug that in 6 × 8 × 9= 432
so the volume is 432in²
The function f(x) = 5x - 4 is changed to f(x) = 5x + 3. What is the result?
Answers
Answer: move up or add 7 in positive direction
Which of the following is equal to 9•4
Answers
Solve for x. Round to nearest tenth
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above
Answers
Answer:
x ≈ 4.4
Step-by-step explanation:
using the tangent ratio in the right triangle
tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )
x × tan43° = 4.1 ( divide both sides by tan43° )
x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )
The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle is shown in image.
Now, We can formulate;
tan 43° = Opposite / Base
⇒ tan 43° = 4.1 / x
⇒ 0.932 = 4.1 / x
⇒ x = 4.1 / 0.932
⇒ x = 4.39
⇒ x = 4.4 units
Thus, The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
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Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answers
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)
Answers
The number of games Ben predict Orioles will win this year is 64 games
How to find percentage?Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160Number of games Ben predict they will win = 40% of 160
= 40/100 × 160
= 0.4 × 160
= 64
Therefore, the total number of games Ben predict they will win is 64 games
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What does a negative AH₁ for a molecule mean?
Answers
Answer: C
Step-by-step explanation: I know it trust me
please help will give brainlest
Answers
Answer:
18
Step-by-step explanation:
Here,
given,
a=3 and b=6
Then
4a+b=?
Put respective values on 4a+b
4*3+6
=12+6
=18
Answer:
18
Step-by-step explanation:
step 1:4a+b=
step 2:(4x3)+6=
step 3:12+6=
answer=18
hope this helps
i need help on this hegarty question i have been stuck on for hours
Answers
The difference of the two numbers in scientific form is:
[tex]493*10^{-9} = 0.00000493[/tex]
How to solve the difference?
Here we want to solve:
[tex](5*10^{-7}}) - (7*10^{-9})[/tex]
To solve this, we should have the same exponent in both sides, to get that, we can rewrite the first number as:
[tex]5*10^{-7} = 500*10^{-9}[/tex]
Replacing that, we will get:
[tex](500*10^{-9}) - (7*10^{-9}}) = 493*10^{-9}[/tex]
To write it in standard form, we need to move the decimal point 9 times to the left, so we get:
[tex]493*10^{-9} = 0.00000493[/tex]
The difference is equal to 0.00000493.
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Can anyone help? 80 points!
Answers
Answer:
D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Step-by-step explanation:
Given expression:[tex](8x^4y^5)^{\frac{2}{3}[/tex]Simplify in steps, using below properties of exponents:
[tex]a^ba^c= a^{b+c}[/tex] Product of Powers Property[tex](a^b)^c=a^{bc}[/tex] Power of Power PropertySolution:[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Correct choice is D
Answer:
[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]
Rewrite 4 as (3 + 1) and 5 as (3 + 2):
[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]
[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]
Rewrite 4/3 as 1 + 1/3:
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]
[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]
[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]
what is measured by the speed of doing work
Answers
Power is often measured in joules of work per second
A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.
(A) Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.
(B) Graph the total daily cost for 0≤x≤ 200.
(C) Interpret the slope and y intercept of the cost equation.
(A) C =
(Simplify your answer. Use integers or fractions for any numbers in the oxpropion
Answers
The function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.
Let's suppose x is the fixed cost and y is the variable cost.
4671 = 50y + x …(1)
5871 = 70y + x …(2)
1200 = 20y
y = 60
x = 1671
Total cost:
C(g) = 1671 + 60g
g is the number of golf per day.
Slope = 60
y- Intercept = 1671 (from the graph)
Thus, the function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g
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anyone know the answer?
Answers
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
What compass heading represents 20° north of west? PLS HELP
Answers
Answer:
West North West
Step-by-step explanation:
West North West would be the bottom half of North West after you split the compass heading into 2 again.
Answer:
north of west = 290 degrees
north of east = 70
Step-by-step explanation:
Select the correct answer. what is the approximate solution to this equation? a. b. c. d.
Answers
The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
Solving equationsFrom the question, we are to determine the approximate solution to the given equation,
The given equation is
[tex]4lnx -8 =12[/tex]
First, add 8 to both sides
[tex]4lnx -8+8 =12+8[/tex]
[tex]4lnx =20[/tex]
Now, divide both sides by 4
[tex]ln x =\frac{20}{4}[/tex]
[tex]ln x = 5[/tex]
Take the exponents of both sides
[tex]e^{lnx} = e^{5}[/tex]
x = 148.413
x ≅ 148.4
Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
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Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.
Answers
Explanation: TIMES 10 AND 12 AND THATS YOUR ANSWER.
Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)
Answers
Answer:
The answer to the equation is B.
Step-by-step explanation:
Answer:
i took the test and its B
Step-by-step explanation:
2+7x1232 = what pls help its matth
Answers
Answer:
8626
Step-by-step explanation:
use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting
Answer: 8,626
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Multiplication comes first:
2+ (7x1232)
Next, addition:
2+8624
8626
Hope this helps :)) Brainliest would be appreciated :D
Find the surface area of the prism //Please answer//
Answers
Answer:
358in²
Step-by-step explanation:
9 × 11 = Area of Face One = 99in²
99 × 2 = Face One + Face One on the opposite side = 198in²
4 × 11 = Area of Face Two = 44in²
44 × 2 = Face Two + Face Two on the opposite side = 88in²
9 × 4 = Area of Face Three = 36in²
36 × 2 = Area of Face Three + Face Three on the opposite side = 72in²
Total Surface Area = 198 + 88 + 72 = 358in²
B
ED
E D
B
C
B
m
A
DE
Which rule describes the composition of
transformations that maps figure ABCDE to figure
A"B"CD"E"?
ORC.900 orm
OroRC.900
ORc1800 or
OroRC.1800
Answers
Answer: [tex]R_{C, 180^{\circ}} \circ r_{m}[/tex]
Step-by-step explanation:
The sequence is a reflection over line m followed by a rotation 180 degrees about point C.
Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Now, In the given figure ABCDE is transformed to figure A”B”C”D”E.
Hence, When a figure is reflected along a line the reflected image is at the same distance to the line as the original figure was.
The figure ABCDE is first reflected through the line m to get the figure A'B'C'D'E'.
When a figure is rotated by 180 degrees the x and y coordinates change its place and y sign is reversed.
A'B'C'D'E' is rotated by 180 degrees to come to figure A"B"C"D"E".
Hence, Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
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There are 1,486 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?
Answers
Answer: 93 boxes will be needed
Step-by-step explanation:
If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.
1,486 / 16 = 92.875
We will assume you cannot have 0.875 of a box, so we will round up to:
93 boxes will be needed
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