Answers
Answer:
tan C = 5/√39
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is AB, 5.
The adjacent leg is BC, √39.
tan C = 5/√39
Related Questions
the base of the rectangular prism is shaded what is the lateral surface area ( show work pls )
Answers
LSA
2×H(L+B)2(4.5)(11+3)9(14)126ft²solve each logarithmic equation. Round your answer to two decimal places.
log4 16 = x
my attempt:
log4 16 (x+x) = x
--
x
log 4 (x+16) = 1
(x + 16) = 1
x + 16/1 =17
x+ 16 = 17
x= 8/9
Answers
Answer:
x = 2Step-by-step explanation:
Given equation
[tex]log_416=x[/tex]Use the property of logarithm
[tex]log_ab=c[/tex] ⇒ [tex]b = a^c[/tex]Apply to the given equation
[tex]16 = 4^x[/tex][tex]4^2=4^x[/tex][tex]2 = x[/tex][tex]x=2[/tex]Let's see
[tex]\\ \rm\Rrightarrow log_416=x[/tex]
[tex]\\ \rm\Rrightarrow 16=4^x[/tex]
[tex]\\ \rm\Rrightarrow 4²=4^x[/tex]
[tex]\\ \rm\Rrightarrow x=2[/tex]
Done!
Find a polynomial f(x) of degree 3 that has the following zeros. 8 ( multiplicity 2) , -4
Answers
Polynomial is an expression that consists of indeterminates(variable) and coefficient. The polynomial f(x) is x³-12x²+256=0.
What are polynomial?
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As the zeros of the polynomial are 8(multiplicity 2), -4. Therefore, the factors of the polynomial can be written as,
[tex]x = 8\\x-8=0[/tex]
[tex]x =-4\\x+4=0[/tex]
Now, the polynomial f(x) which is a third-degree polynomial can be written as,
[tex](x-8)(x-8)(x+4)=0\\\\(x-8)^2(x+4)=0\\\\(x^2-16x+64)(x+4)=0\\\\x^3-16x^2+64x+4x^2-64x+256 = 0\\\\x^3-12x^2+256=0[/tex]
Hence, the polynomial f(x) is x³-12x²+256=0.
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a department store has guft boxes that are 20 inches long, 12 1/2 inches wide, and 5 1/2 inches high what is the volume
Answers
So the
L= 20. You can turn 20 to 20/1 and
W=12 1/2. multiply it by the W and the
H= 5 1/5
Or you can do 20 x 12.5 x 5.5.
The answer is 1,375.
Rollie borrowed some money from his sister. Their brother wanted to know how much Rollie borrowed, but Rollie wouldn’t tell him. Instead, Rollie gave his brother a riddle.
“Each month, I paid our sister one-third of the amount I still owed her plus an additional $3. At the end of 3 months, I still owed her $3.”
Solve the riddle to find out how much money Rollie borrowed from his sister.
Explain how you arrived at your solution.
Answers
By working with fractions, we will see that the amount that Rollie borrowed from his sister is $31.50.
How much Rollie borrowed?Let's say that Rollie borrowed a quantity x.
The first month, Rollie returns one third of x + $3, so now he owes:
x - x/3 - 3 = (2/3)*x - 3
the second month returns another third of what he owes plus $3, so now he returns:
(1/3)*((2/3)*x - 3) + 3 = (2/9)*x + 2
So no he owes:
(2/3)*x - 3 - (2/9)*x - 2 = (4/9)*x - 5
Finally, on the third month he returns:
(1/3)*((4/9)*x - 5) + 3 = (4/27)*x - 5/3 + 3 = (4/27)*x + 4/3
Now he owes:
(4/9)*x - 5 - (4/27)*x - 4/3 = (8/27)*x - 19/3
And that is equal to $3, what he owes at the end of the third month, so we need to solve:
(8/27)*x - 19/3 = 3
(8/27)*x = 3 + 19/3 = 28/3
Solving for x, we get:
x = (27/8)*(28/3) = 31.5
So Rollie borrowed $31.5 from his sister.
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can u guys please help a poor soul
1/root 5 - root 3
Answers
hope it really helps......!!!!!!
A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a dime from the jar and then Mikah will choose a quarter from the jar.
Write the probability as a fraction in simplest form.
6/25 is incorrect
Answers
Answer:
18/245.
Step-by-step explanation:
Total number of coins = 12+15+23 = 50.
Prob(Karen chooses a dime) = 15/50 = 3/10.
Prob(Mikah then chooses a quarter) = 12/49. ( Karen has already removed one coin)
Prob(of Karen choosing a dime then Mikah a quarter)
= 3/10 * 12/49
= 36/490
= 18/245.
help thanksSSSSSSSSSS
Answers
Answer:
[tex]\boxed{\sf{x=24}}[/tex]Step-by-step explanation:
GIVEN:
To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.
[tex]\sf{\dfrac{8}{7}=\dfrac{x}{21} }[/tex]
First, thing you do is switch sides.
[tex]\sf{\dfrac{x}{21}=\dfrac{8}{7} }[/tex]
Multiply by 21 from both sides.
[tex]\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }[/tex]
Solve.
Multiply the numbers from left to right.
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract[tex]\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }[/tex]
[tex]\Longrightarrow: \boxed{\sf{x=24}}[/tex]
Therefore, the final answer is x=24.I hope this helps. Let me know if you have any questions.
For the transformation to be a translation, which statements must be true? Select four options.
Answers
Answer:
A, B, C, and E.
Step-by-step explanation:
I don’t know how to explain what I did very well.
which is greater - 3/4 or - 5/6
Answers
Answer:
-3/4
Step-by-step explanation:
see picture below
Answer:
[tex]-3/4~ > -5/6[/tex]
Step-by-step explanation:
Using the given inputs
[tex]3/4~and~5/6[/tex]
The least common denominator (LCD) is 12.
Rewriting as equivalent fractions with the LCD:
[tex]-\frac{3}{4} ~becomes-\frac{9}{12}[/tex]
And
[tex]-\frac{5}{6}~becomes-\frac{10}{12}[/tex]
Comparing the numerators of the equivalent fractions we have
[tex]-9/12 > -10/12[/tex]
Therefore, the comparison shows:
[tex]-3/4~ > -5/6[/tex]
Hope this Helps! :3
have a great day! :3
Select the reason that best supports statement both 2 and 8 in the given proof.
Answers
100 POINTS
Solve the following inequality, if it is known that function f is increasing on its domain. f(4x-3)[tex]\geq[/tex]f(2-[tex]x^{2}[/tex]), D_f = (-8, 4)
Answers
This solution is arrived at using the principles of Quadratic Functions and Inequalities. It is to be noted that the function increases at (-8, 4).
What are Quadratic Functions?A quadratic function can be defined as that is written in the following way: f(x) = ax2 + bx + c: Where a, b, and c are numbers not equal to zero.
How do we solve the problem above?To solve the problem f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4), we:
A) 4x - 3 ≥ 2 - x²
Rewrite as: x² + 4x - 2 - 3 ≥ 0
B) Collect the like terms
x² + 4x - 5 ≥ 0
C) Expand to have x² + 5x - x - 5 ≥ 0
D) Factorizing the expression we have
x(x + 5) - 1(x + 5) ≥ 0, from this we Factor away x + 5
(x - 1)(x + 5) ≥ 0
E) Solving for x we obtain: x ≥ 1 or x ≥ -5
This can also be rewritten to read:
-5 ≤ x ≤ 1
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What is the five-number summary of this data set? {403, 276, 649, 786, 274, 189, 654, 652, 572} Drag the numbers into the boxes to correctly complete the five-number summary.
Answers
Answer:
Minimum: 189
Maximum: 786
Median: 572
Lower quartile: 275
Upper quartile: 653
Step-by-step explanation:
Listing the numbers in order from least to greatest, we have: 189, 274, 276, 403, 572, 649, 652, 654, 786.
From this, we can see that the smallest (minimum) value is 189, and the largest (maximum) value is 786.
We can find the the median by taking off a number from each side of the number set one by one. When done, we can see that the number in the middle is 572, so that is our median.
To find the upper and lower quartiles, split the number set in half where the median lies and find the median of those two sections.
Q1: 189, 274, 276, 403
274 + 276 = 550
550 ÷ 2 = 275
--------------------------
Q3: 649, 652, 654, 786
652 + 654 = 1306
1306 ÷ 2 = 653
So, the lower quartile range is 275, and the upper quartile range is 653.
hope this helps!
Mr. Sims bought 9 tickets to a puppet show and spent $57. He bought a combination of child tickets for $3 each and adult tickets for $9 each.
Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
Answers
Answer:
x =number of child tickets
y=number of adult tickets
x + y = 9
3x +9y = 57
x = 9-y
3(9-y) + 9y =57
27 - 3y + 9y = 57
6y = 30
y=5 adult tickets
x = 4 child tickets
Answer:
adult's tickets a=5
child's tickets c=4
Step-by-step explanation:
a+c=9
9a+3c=57
c=9-a
3a+c=19
3a+9-c=19
2a=10
a=5
c=9-a=9-5=4
You decide that you are going to flip a coin, and a six sided die.
What is the probability of the following events?
Tails and an even number? (Round to two decimal places)
Tails and the number 9?
Heads or a number bigger than 4? (Round to two decimal places)
Heads or the number 2? (Round to two decimal places)
Answers
Probability helps us to know the chances of an event occurring. The probability of getting a tail and an even number is 0.25.
What is Probability?
Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Since a coin has two faces, therefore, the probability of getting either of the sides of the coin is (1/2). While a die has six faces, so the probability of getting any side of the die is (1/6).
A.) The probability of getting a tail and an even number can be written as,
[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of Even Number(2,4,6) } = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
[tex]\text{Probability (Tails and an even number)} = \dfrac12 \times \dfrac12 = 0.25[/tex]
B.) The Probability of getting tails and the number 9 can be written as,
[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of Number 9} = \dfrac{0}{6} = 0[/tex]
[tex]\text{Probability of the tails and the number 9} = 0[/tex]
C.) The Probability of getting Heads or a number bigger than 4 can be written as,
[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of a number bigger than 4 (5,6) } = \dfrac{2}{6} = \dfrac{1}{3}[/tex]
[tex]\text{Probability (Heads or a number bigger than 4 )} = \dfrac12 + \dfrac13 = \dfrac{5}{6} = 0.83333[/tex]
D.) The Probability of getting Heads or the number 2 can be written as,
[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of the number 2} = \dfrac{1}{6}[/tex]
[tex]\text{Probability (Heads or the number 2 )} = \dfrac12 + \dfrac16 = \dfrac{8}{12} = 0.6666[/tex]
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Which of the following numbers is a multiple of 7?
Answers
Answer:
You have to share number too
Tulong bwhahahhahahaha
Answers
2- answer is 30
3- answer is 8
4- answer is 3.5
5- 54
hElp me I need help with this question
Answers
Answer:
Jackie divided the number of quarts by 2. There are 2 pints in each quart. She should have multiplied by 2; so Jackie made 20 pints of lemonade.
((454 x 344)/4) + 4854
Solve order of operations
Answers
Answer:
43,898
Step-by-step explanation:
1. 454 x 344 = 156,176
2. 156,176 / 4 = 39,044
3. 39,044 + 4,854 = 43,898
Which of the following is an example of a linear system of equations?
5
x
2
+
6
y
=
13
6
x
−
12
y
=
14
5
x
+
6
y
=
13
6
x
−
12
y
2
=
14
5
x
+
6
y
=
13
6
x
2
−
12
y
=
14
5
x
+
6
y
=
13
Answers
6
x
−
12
y
=
14
Yw :D pls mark me brainiest
Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98. Which of the following statements
is true?
A) The median of the set of scores is 78.
B) The mean of the set is less than the median.
C) The mode of the set of scores is 93
D) The mean of the set is more than the median.
Answers
The mean of the set is less than the median. Option B is correct.
Given that,
Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98.
The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Marks scored by Norberto in 5 spelling tests are 93, 66, 78, 85, and 98.
Mean of marks score = total marks scored / total spelling test
Mean of marks score = (93 + 66 + 78 + 85 + 98) / 5
Mean of marks score = 420 / 5 = 84
Now,
In order to get the median,
Arrange the marks in ascending order,
66, 78, 85, 93, 98
n = 5
median = (n + 1) / 2th term
= (5 + 1) / 2th term
= 6 / 2 = 3 th term
Median = 85
Here, 85 > 84 implies the median is more than the mean.
Thus, the mean of the set is less than the median. Option B is correct.
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What is the diameter of a sphere with a volume of 397\text{ m}^3,397 m
3
, to the nearest tenth of a meter?
REsponse: 9.1
Answers
graph the line y= 4/3x
Answers
Answer:
RISE/RUN
Step-by-step explanation:
You start at (0,0)move up 4move right 3PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS
Answers
Answer:
d
Step-by-step explanation:
Each point has been moved 2 spaces to the right and 5 units down.
Moving 2 spots to the right means x updates to x+2
Moving 5 units down tells us to change y to y-5
Therefore, [tex](x,y) \to (x+2, y-5)[/tex]
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate
Answers
Answer:
£1067.22.
Step-by-step explanation:
Interest I= PRT/100 where P = Initial investment, R = % rate, T = time.
So I = 990*2.6* 3 / 100
= £77.22
So total he will have in the bank
= 990+77.22
= £1067.22.
what is the volume of the cone below
Answers
Answer:
Its C because the formula to find the volume of the cone is π x radius² x height / 3 and in this case the radius is 4 and the height is 27 so π x 27 x 4² which is 452.16 and 144 x π is 452.16
Step-by-step explanation:
Please mark as brainliest
how to graph y = x + 10
Answers
Explanation:
The equation is the y intercept form
y
=
m
x
+
b
where
m = the slope think mountain ski slope.
b = the y intercept think beginning.
m in this equation is 1/1
b in this equation is -10
so start at b the y intercept of ( 0, -10)
This is the first point.
Then use the slope y =1 so go up 1
x= 1 so one to the right
x
=
0
+
1
=
1
y
=
−
10
+
1
=
−
9
The second point is then ( 1,-9)
Answer:
if you use desmos graphing calculator it will make graphing equations like this easier.
Step-by-step explanation:
by easier i mean it just graphs it for you. hope this helps:)
Please help! Will mark brainlyest.
Answers
Answer:
the letter d does not have symmetry
Step-by-step explanation:
Where does most regular lightning occur?
A. The stratosphere
B. The troposphere
C. The Mesosophere
Answers
What is the solution to the system of equations below?
(Hint: Solve using substitution!)
−5x−y=5
x=7y−1
(
Answers
Answer:
x = -1, y = 0 or (-1, 0)Step-by-step explanation:
We have two equations :
-5x - y = 5x = 7y - 1Take the value of x in Equation 2 and substitute in Equation 1.
-5(7y - 1) - y = 5-35y + 5 - y = 5-36y = 0y = 0Now, take the value of y and substitute in Equation 2.
x = 7(0) - 1x = -1Solution
x = -1, y = 0 or (-1, 0)Answer:
The lines intersect at the point (-1, 0)
Step-by-step explanation:
−5( )−y=5
-5(7y-1) - y = 5 substitute the x=7y-1 into first equation
-35y + 5 - y =5 multiply -5
-36y + 5 = 5 combine like terms
-36y = 0 subtract 5
y=0 divide by -36
x=7(0)-1 substitute 0 for y in x=7( )-1
=-1 simplify
The lines intersect at the point (-1, 0)