Answers
Answer:
\(x=6\\y=12\)
Step-by-step explanation:
To find the value of x you can use sin rule
\(sin(60)=\frac{oppoaite}{hypotenuse}\\\frac{\sqrt{3} }{2} =\frac{x}{4\sqrt{3} } \\\)
Use cross multiplication
\(4*\sqrt{3} *\sqrt{3} =2x\\4*3=2x\\12=2x\\\frac{12}{2} =\frac{2x}{2} \\6 =x\)
To find the value of y you have to use sin rule again
\(sin(30)=\frac{opposite}{hypotenuse}\\\frac{1}{2} =\frac{x}{y} \\\frac{1}{2} =\frac{6}{y} \\\)
Use cross multiplication
\(y=6*2\\y=12\)
Hope this helps you.
Let me know if you have any other questions :-)
x = 5.9 units (just round it to 6)
y= 11.8 units (round it to 12)
Steps:
1) Use Soh Cah Toa to identify the unknown sides.
The side across the angle is the opposite. Therefore, the x side is opposite.
4√5 = 6.9 ( this side is the hypotenuse).
So we have the opposite side and the hypotenuse side. Therefore, we will use sine
2) Sin theta = opp/hyp
Sin 60 = opp/6.9
Multiply both sides by 6.9
6.9(sin60) = opp
5.9 = opp
3) now that you have side x, we will use x to figure out side y.
Identify the sides first. Side x is opposite and side y is the hypotenuse. Use sine to solve for side y
Sin theta = opp/hyp
Sin 30 = 5.9/hyp
0.5 = 5.9/hyp
Divide 0.5 and bring it over to the other side.
= 5.9/ hyp ÷ 0.5/1
= 5.9/hyp x 1/0.5
= 5.9/0.5
= 11.8 units (side Y)
Related Questions
2. What is a probability that is calculated using math formulas?
A. Theoretical Probability
B. Axiomatic Probability
C. Experimental Probability
D. Empirical Probability
Answers
The correct answer for the probability that is calculated using math formulas is A. Theoretical Probability.
Theoretical Probability is calculated using mathematical formulas and principles. It involves analyzing the possible outcomes of an event or experiment based on a given set of assumptions or conditions. Theoretical Probability provides a mathematical prediction of the likelihood of an event occurring.
It is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Theoretical Probability is often used in theoretical or mathematical models and is derived from mathematical principles and calculations.
On the other hand, option C, Experimental Probability, is based on actual observations and data collected from experiments or real-world observations. It involves conducting experiments or observations to determine the probability of an event occurring.
Once again, the correct answer to the question is A. Theoretical Probability.
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the graph of the money jake earns while babysitting is shown below. put a scale on each axis that makes sense for this situation. explain why chose the scales you did.
Answers
Answer:
Hi uddin
Step-by-step explanation:
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The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?
Answers
Convert the expression 92/7 into a decimal number (divided out to the thousandths place).
Answers
Answer:
13.8571428571 or 13.857
Step-by-step explanation:
97/7 or 9 7/7 cuz if so its 10
adrienne and suki simplified the expression -8 - (-6) whose answer is correct
Answers
Answer:
-48
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-8--6 double negative is a positive so -8+6 and if you owe the bank -8 dollars and you gave them 6 then you would still owe -2 dollars
Someone plz help....
Answers
Answer:
the answer is 3.6 centimeters
help me with this:((((
Answers
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)
Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.
4. If B is located exactly of the way from A(9, 4) to C(9, −8), what are the coordinates of B?
Answers
Answer:
im pretty sure that the answer would be (9,-1)
Step-by-step explanation:
In the problem 8^3 - 10 × 5 - 4, which step should you perform first?
Answers
Answer:
PEMDAS
Step-by-step explanation:
P=Parenthesis
E=Exponent
M=Multiply
D=Division
A=Addition
S=Subtract
The first step you should perform is the exponent 3 of base 8.
What is BODMAS Rule?BODMAS rule is the rule used when solving expressions involving more than one operations.
It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.
The given expression is 8³ - 10 × 5 - 4.
We know the rule of BODMAS.
since the given expression includes more than one operations, we have to follow the rule of BODMAS.
There are no brackets in the expression.
There is a power of 3 for the base 8.
We should perform that in the first step.
8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4
Next we do the operation of multiplication.
512 - 10 × 5 - 4 = 512 - 50 - 4
There is subtraction.
512 - 50 - 4 = 566
Hence the operation of the power is done first.
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What is 3 x 3 x 3 x 3 is exponet form
Answers
Answer:
3^4, or you could say three to the fourth power.
An exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. 3 x 3 x 3 x 3 is equivalent to 3^4 because you are multiplying three four times.
*Warning: 3 x 3 x 3 x 3 is NOT 3 x 4!!!*
A boat is worth $10,000 when it is 5 years old and $4,000 when it is 8 years old. What is the rate of depreciation? PLEASE ANSWER ASAP
• $2,500
• $1,500
• $1,000
• $ 2,000
Answers
Answer:
$2,000
Step-by-step explanation:
10,000-4,000=6,000
8-5=3
The value decreased 6,000 over the course of 3 years
6,000/3=2000
The value decreased by 2,000 per year.
PLEASE ANSWER I NEED IT ASAP!!!!
Answers
x = 5
Please help with this question if you can
Answers
Answer:
5.1
Step-by-step explanation:
so the leaning ladder makes a right angled triangle so we can use pythagoras to calculate the the length (the hypotenuse):
5²+1²=x²
25+1=x²
√26=x
x=5.099...
and now we round to one d.p so it becomes 5.1 (1 d.p) as the hundreths digit is 9 and 9 is rounded up.
The ladder leaning on the wall forms a right triangle. And we have the 2 sides we need:
5 meters and 1 meter, now you do the calculations:
Describe the graph of x —2.
Answers
Answer:Since x=2 is a vertical line, there is no y-intercept and the slope is undefined.
Step-by-step explanation:
The graph of x-2 would have a y-intercept at (0,-2) and would decrease at a slop of 1x.
A basketball team scored 50 points in a game last week. This week, they scored 55 points. What was the percent increase in points scored from last week to this week?
Answers
11) Is the following biconditional true? Explain. Two people are brother and sister if-and-only-if they are siblings.
Answers
Answer:
Well, not exactly.
Step-by-step explanation: You see, there's this thing called half siblings. They aren't exactly quite any different to normal siblings, except the fact that they either have the same mother and different father, or the same father and different mother. This usually results after a mother and a father divorce, or their respected love one dies, and they have children. The mother/father then can remarry, and when their wife/husband also has a child. The two or more children become half siblings. Also, if we're gonna talk not literal siblings. Close friends often like to think of each other as siblings, though they aren't biologically siblings. Half siblings and step sisters are two different things, half is where your sibling shares half your genes, and step siblings are where they don't have any of your genes and only their respected parent's genes. Now depending on if they mean biologically siblings, I would say true. But if they count all, then it would be false.35points in answered and if correct brainliest.
Read the sentence.
Delightful and entertaining was the way that most viewers found the movie.
What is the best way to restructure the sentence?
The way the viewers found the movie was delightful and entertaining.
The way the viewers found the movie was delightful and entertaining.
Most viewers found the movie delightful and entertaining.
Most viewers found the movie delightful and entertaining.
Delightful and entertaining was the movie as found by most viewers.
Delightful and entertaining was the movie as found by most viewers.
The movie was found to be delightful and entertaining by viewers.
The movie was found to be delightful and entertaining by viewers.
Answers
Answer:
The movie was found to be delightful and entertaining by viewers.
Answer:
D. The movie was found to be delightful and entertaining by viewers.
Hope this helps.
Find the inverse of y = - 1/2x - 5
Answers
9514 1404 393
Answer:
f^-1(x) = -2(x +5)
Step-by-step explanation:
Solve for x.
y +5 = -1/2x . . . . . add 5
-2(y +5) = x . . . . . multiply by -2
If you want this in "functional form", you can write it as ...
f^-1(x) = -2(x +5) . . . . . swap x and y, then use f^-1(x) for y
Is this correct? I don’t think it is at all lol. Help me please!
Answers
Keith's bank account starts with $250 and he adds $150 to it every month. If m is the number of months that have passed, then the amount of money (in dollars) in his account is given by
250 + 150m
Victoria's account starts with $2000 and she removes half of it each month. So after m months, her account has a value of
2000/2^m
If you were to plot these amounts, then
(a) Keith's account's value is indeed linear - TRUE
(b) Keith is constantly adding money to his account, so its value is increasing - FALSE
(c) Victoria's account's value involves an exponential expression - TRUE
(d) Victoria is removing money, so the value is decreasing - TRUE
Your answers are correct except for (c).
5 x _ = -35
Topic: Multiplying and Dividing Integers
Answers
Given:
5× ______ = - 35
• -35/5
• -7
Answer:5 x -7 = -35
Answer:
The answer is 7
Step-by-step explanation:
Divide each term in 5x=-35 by 5 and simplify.x=−7
For the expression that follows, replace x with 30° and then simplify as much as possible. 4cos(3x−45°)
Answers
The x = 30°, the simplified value of 4cos(3x - 45°) is 2√2.
To simplify the expression 4cos(3x - 45°) when x = 30°, we substitute the given value of x into the expression:
4cos(3(30°) - 45°)
First, we simplify the inside of the cosine function:
3(30°) - 45° = 90° - 45° = 45°
Substituting this back into the expression:
4cos(45°)
Next, we evaluate the cosine of 45 degrees:
cos(45°) = √2/2
Finally, we substitute this value back into the expression:
4 * (√2/2) = 2√2
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how do you add or subtract 3+{-7]
Answers
Answer: -4
Step-by-step explanation: Calculator
How do u simplify odd percentages such as 51??
Answers
51=25.5/.5
What is the 5th term in the geometric sequence described by this explicit
formula?
an = 40 • (-2)(n-1)
A. -1280
O B. -640
C. 1280
O
D. 640
Answers
Answer:
C.
Step-by-step explanation:
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Answer:
D. 640Step-by-step explanation:
Given GP:
aₙ = 40 * (-2)ⁿ⁻¹Finding the 5th term:
a₅ = 40* (-2)⁵⁻¹ = 40 * (-2)⁴ = 40*16 = 640Correct option is D
4 x + 2 + x = blank x – 19
Answers
The result of the equation 4 x + 2 + x = x – 19 is - 5.25.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables.
Given equation -
4 x + 2 + x = x – 19
Simplify the equation
5x + 2 = x - 19
5x - x = -19 - 2
4x = -21
x = -21 / 4
x = -5.25
Hence, -5.25 is the answer to the equation 4 x + 2 + x = x - 19.
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When using the negative exponent properties, why is it important to know if any of the variables is equal to 0?
Answers
Answer:
Because that give you something like this \(\frac{a}{0}\) who is undefined.
Step-by-step explanation:
When you raise something to a negative exponent give you:
\(a^{-b} = \frac{1}{a^b}\)
Then if \(a\) is equal to 0 is considerate undefined because whatever number raising 0 is equal to 0.
This video explain why you can't divide by zero if you want a deepest answer: 'Why can't you divide by zero? - TED-Ed'
What’s 50.272 to 1 decimal place
Answers
TRUNCATED to one decimal place, it's 50.2
ROUNDED to one decimal place, it's 50.3
The round-off of 50.272 to 1 decimal place using rules of rounding
numbers are 50.3.
Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.
Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.
So, 50.272 becomes 50.3 when rounded to one decimal place.
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marking brainlest answer
Answers
The American Hospital Association stated in its annual report that the mean cost to community hospitals per patient per day in U.S. hospitals was $1231 in 2007. In that same year, a random sample of 25 daily costs in the state of Utah hospitals yielded a mean of $1103. Assuming a population standard deviation of $252 for all Utah hospitals, do the data provide sufficient evidence to conclude that in 2007 the mean cost in Utah hospitals is below the national mean of $1231? Perform the required hypothesis test at the 5% significance level.
Answers
We can conclude that the null hypothesis is rejected. There is sufficient evidence to support the claim that the mean cost in Utah hospitals is below the national mean of $1231.
How is this so?H₀: μ ≥ 1231 (The mean cost in Utah hospitals is greater than or equal to the national mean)
Hₐ: μ < 1231 (The mean cost in Utah hospitals is below the national mean)
Given
Sample mean (x) = $1103Sample size (n) = 25Population standard deviation (σ) = $252Significance level (α) = 0.05The test statistic for a one-sample t-test is given by
t = (x - μ) / (σ / √n)
Substituting we have
t = (1103 - 1231) / (252 / √25)
≈ -6.103
To determine the critical value, we need to find the critical t-value at the 5% significance level with degrees of freedom
(df) equal to (n - 1)
= (25 - 1)
= 24.
Using a t-distribution table or calculator, the critical value is approximately -1.711.
Since the calculated test statistic (-6.103) is smaller than the critical value (-1.711) and falls into the critical region, we reject the null hypothesis.
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12.) A jacket cost 4 times as much as a pair of shorts.
Together they cost $75. How much is each item?
Answers
Answer:
The pants cost $15 and the jacket costs $60
Step-by-step explanation: