Answer:
x=28.8
Step-by-step explanation:
using cosine
cos x= adjacent/hypotenuse
cos x = 71/81
cos x = 0.8765
make x subject of the formula
x= cos^-1 0.8765
x= 28.77699973
x≈ 28.8
The required value of x is 28.8 degrees for the right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown
We have to determine the value of x for the triangle.
As we know the cosine ratio is:
cos x = adjacent/hypotenuse
As per the question, substitute the known values in the above ratio,
cos x = 71/81
Apply the division operation,
cos x = 0.8765
Solve for x, and we get
x= cos⁻¹ (0.8765)
x = 28.77699973
x ≈ 28.8
Thus, the required value of x is 28.8 degrees.
Learn more about the right triangle here:
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At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1436.00 . How many child tickets were sold that day?
Can you please delete this. I have answered it wrong. Thanks
I need an answer now. 6-|p+7|=-9 Will give brainlyest
Answer:
p=8, -22
Step-by-step explanation:
Move 6 to the other side
-|p+7|=-15
Now move the - symbol to the other side
|p+7|=15
Now
p+7=15
and
p+7=-15
Solve both the equation
p=8, -22
Hope this helps!
In What quadrant is the point (-5, -5) located
Answer:
Since both values are negative, it can be found in the 3rd quadrant
Feel free to mark this as brainliest :D
Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100
plus 10
per doctor visit, given y=100+10x
. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x
.
Which insurance company has the LOWER rate and what is the rate?
The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.
What is the system of equation?A system of equations is a collection of two or more equations with a same set of unknowns.
In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x
The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.
On solving both the equations
[tex]\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4[/tex]
For 4 doctor visits charges are same and Rate 35 $ per doctor visit.
For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.
Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.
Learn more about system of equation here;
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Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s money to triple?
(Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)
Show your work for credit
9514 1404 393
Answer:
18.3 years
Step-by-step explanation:
You want ...
A/P = 3 = e^(rt) . . . for r = 0.06
Taking the natural log, this gives ...
ln(3) = 0.06t
t = ln(3)/0.06 ≈ 18.31
It will take about 18.3 years for the value to triple.
Which fraction is equivalent to 12/27? help
[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]
Hope This Helps YouAnswer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-
1st Fraction :-[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]
2nd Fraction :-[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]
3rd Fraction :-[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]
✐ 3 fractions equivalent to [tex] \frac{12}{27} [/tex] are ⇻ [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Help will be appreciated
Answer:
48
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
48
the picture 20 words or longer for the answer so this is extra text
Soren solves the quadratic equation x^2 + 8x – 9 = 0 using the quadratic formula. In which step did Soren make an error?
Answer:
step 3 didn't divide by 2
Step-by-step explanation:
in step
[tex] \frac{ - 8 + \sqrt{100} }{2} = \frac{ - 8 + 10}{2} = 1 \\ \frac{ - 8 - \sqrt{100} }{2} = \frac{ - 8 - 10}{2} = - 9[/tex]
Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gallons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Answer:
0.057168
Step-by-step explanation:
Given :
Mean = 1510
Standard deviation = 57
P(X > 1600)
To obtain the Zscore we use
(x - mean) / σ
P(Z > 1600) = P(Z > (x - mean) / σ)
P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)
P(Z > 1.579) = 0.057168 (Z probability calculator)
SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answer:
308
Step-by-step explanation:
70/100 x 440 = 308
What is the probability that both spinners will land on 2?
1/12. 1/6. 1/4. 1/3
Answer:
1/4 bczz its not saying about the highest its about average and the average is 1/4
Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14
Answer:
18.5 i believe
Step-by-step explanation:
sorry if im wrong, have a great day!!
Compound interest
Plz help!!!
Answer:
a) [tex]A(t) = 17500(1.0053)^{12t}[/tex]
b) The balance after 8 years will be of $29,069.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
a)
Loan of $17,500 means that [tex]P = 17500[/tex]
6.4% interest rate means that [tex]r = 0.064[/tex]
Compounded monthly means that [tex]n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 17500(1 + \frac{0.064}{12})^{12t}[/tex]
[tex]A(t) = 17500(1.0053)^{12t}[/tex]
b)
This is A(8). Then
[tex]A(8) = 17500(1.0053)^{12*8} = 29069[/tex]
The balance after 8 years will be of $29,069.
Let W represent that a car is white, let N represent that a car is new, and let M represent that a car is mine. Analyze the logical form of the following statements:
a. If the car is not white and new, then it is mine.
b. The car being white or new is a sufficient condition for it being not mine.
c. The car is mine if and only if it is new and not white.
Answer:
Remember that if we have a proposition P, ¬P is the negation of that proposition.
We have:
W = car is white
¬W = car is not white
N = car is new
¬N = car is not new
M = the car is mine
¬M = the car is not mine.
Now, whit that defined, let's analyze the statements:
a: " If the car is not white and new, then it is mine."
We can write this as:
"Not W and N, then M"
using only symbols this is:
(¬W ∧ N) ⇒ M
where the symbol ∧ means "and"
and the symbol ⇒ means "then"
b " The car being white or new is a sufficient condition for it being not mine."
We can rewrite this in a simpler way:
"if the car is white or new, then is not mine"
We can write this as:
W or N, then, not M
using the symbols, we get:
(W ∨ N) ⇒ ¬M
Where the symbol ∨ means "or"
c " The car is mine if and only if it is new and not white."
This can be rewritten as:
"M if and only if N and not W"
Using only symbols, we get:
M ⇔ (N ∧ ¬W)
Where "⇔" means "if and only if"
which of the is not an example of property tax?
A) Tax paid on the value of a farm a person owns
B) Tax paid on the value of a piece of land a person owns
C) Tax paid on the value of a piece of furniture a person owns
D) Tax paid on the value of a home a person owns
Answer:
C
Step-by-step explanation:
Furniture is not counted as property that can be taxed.
Oscar is trying to incorporate more exercise into his busy schedule. He has several short
exercise routines he can complete at home. Last week, he worked out for a total of 35
minutes by doing 2 arm routines and 1 abdominal routine. This week, he has completed 4
arm routines and 1 abdominal routine and spent a total of 55 minutes exercising. How long
does each routine last?
minutes to complete, and an abdominal routine takes
An arm routine takes
minutes to complete.
Answer:
The arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
Step-by-step explanation:
Since Oscar is trying to incorporate more exercise into his busy schedule, and he has several short exercise routines he can complete at home, and last week, he worked out for a total of 35 minutes by doing 2 arm routines and 1 abdominal routine while That this week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 55 minutes exercising, to determine how long does each routine last the following calculation must be performed:
2ARM + 1ABS = 35
4ARM + 1ABS = 55
4ARM + 1ABS - 2ARM - 1ABS = 55 - 35
2ARM = 20
ARM = 20/2
ARM = 10
2 x 10 + ABS = 35
ABS = 15
Therefore, the arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
PLS HELP I WILL GIVE BRAINLIEST
Answer:
im pretty sure its -14
Step-by-step explanation
Answer:
s= -17/12
17/12
Step-by-step explanation:
-5s - 14 = 7s +3
−5−14=7+3
-5s-14=7s+3
−5s−14=7s+3
−5−14+14=7+3+14
−5=7+17
-5s=7s+17
−5s=7s+17
−5−7=7+17−7
[tex]s=-\frac{17}{12}[/tex]
Write an equation for a translation of the parent function y = |x| to translate it 7 units left.
A. y = |x| + 7
B. y = |x + 7|
C. y = |x − 7|
D. y = |x| − 7
9514 1404 393
Answer:
B. y = |x +7|
Step-by-step explanation:
The translations represented by the answer choices are ...
A. up 7 units
B. left 7 units . . . . the choice we want
C. right 7 units
D. down 7 units
___
In general, the effects of adding things to x and y are summarized by ...
y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units
Translations left or down are accomplished by using negative values for 'a' and/or 'b.
__
We want translation 7 units left, so a=-7 and b=0
y = |x| ⇒ y = |x -(-7))| or y = |x+7|
Which of the following represents the range of the graph of F(x) below?
Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?
assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400
can someone please help me on this
Please help me out I don’t understand this.
The area (A) of a trapezoid is calculated as follows:
A = 1/2 * sum of the parallel sides * height
In this case:
A = 1/2 * (23 + 5) * 12 = 168 yd^2.
Answer: it’s 168
Step-by-step explanation:
Which equation represents the parabola with focus (8, 4) and vertex (8, - 2)
Answer:
8.4 whic e querido representante the parábola 8.3
What are the coordinates of the solution of these two linear equations
Answer:
(-2 -3)
Step-by-step explanation:
_____________________
Which pair of ratios form a proportion? A. 2 : 3 and 3 : 4 B. 8 : 12 and 16 : 20 C. 4 : 7 and 12 : 21 D. 9 : 15 and 10 : 16
Answer:
C 4:7 and 12:21
Step-by-step explanation:
4×3 => 12
7×3 => 21
Volume of Prisms and Cylinders
a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in
Please select the best answer from choices provided
Answer:
A. 339.12 cu. in.
Step-by-step explanation:
I calculated it logically
what is the area of
Answer:
7 * 9 = 63
63 for when both of the triangles are combined, 31.5 for one triangle.
Rectangle = 18 * 22 = 396
396 + 63
459 cm^2
Convert 69 g/cm to kilograms per meter (kg/m).
Answer:
69g/cm is 6.9kg/m
Step-by-step explanation:
[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]
Answer:
[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]
What is the interquartile range of the data shown in box plot help for brainlist
Answer:
10
Step-by-step explanation:
subtract lower quartile (10) from upper quartile (20)
What is the probability of rolling a six-sided number cube and getting an odd number or a number less than 4?
Answer:
[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- roll of a die
[tex]n(S) = 6[/tex] ---- the sample size
[tex]Odd = \{1,3,5\}[/tex]
[tex]<4 = \{1,2,3\}[/tex]
Required
[tex]Pr(Odd\ or\ <4)[/tex]
First, list out the event of odd or <4
[tex]Odd\ or\ <4 = \{1,2,3,5\}[/tex]
So, the probability is:
[tex]Pr(Odd\ or\ <4) = \frac{n(Odd\ or\ <4)}{n(S)}[/tex]
[tex]Pr(Odd\ or\ <4) = \frac{4}{6}[/tex]
Simplify
[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]