Answers
Answer:
32.8
Step-by-step explanation:
well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8
Related Questions
Point C is in the interior of
Answers
Answer:
Point C is in the interior of angle ABD.
6 4/5 + 3 2/3
add and simplify
Answers
Answer:
10 3/5
Step-by-step explanation:
6 4/5 + 3 4/5
First convert to improper fraction,
34/5 + 19/5
Then add the improper fractions,
=>53/5
Then convert improper fraction to mixed fraction,
=> 53/5 = 10 3/5
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answers
Answer:
1they are 15 kilometers apart
Angles R and S are complementary. If angle R is = 4x - 20 and angle S = 6x - 7, then angle R measures ___ degrees.
Answers
Answer:
26.8°
Step-by-step explanation:
4x - 20 + 6x - 7 = 90
10x -27 =90
10x = 90+27
10x= 117
x = 11.7
so, the angle R = 4x-20 =4(11.7)-20
= 46.8-20 = 26.8°
How high is a tree that cast a 33ft shadow at the same time a9ft post casts a shadow w
Answers
let x=height of the tree
x/33=5/12
x=5*33/12
x=13.75
John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following statements is true?
a. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack increases.
b. The probability that John draws a jack on the first try is 3/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
c. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack decreases.
d. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
Answers
Answer:
d
Step-by-step explanation:
It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.
The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
What do we mean by the probability of an event?The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.
If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,
P(A) = n/S.
How do we solve the given question?We are given that John is playing a game with a standard deck of playing cards.
We are said that he wants to try to draw a jack on the first try.
Let the event of drawing a jack be A.
The number of outcomes favorable to the event A (n) = 4 (number of jacks)
The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)
∴ The probability of the event A is given by,
P(A) = n/S = 4/52 = 1/13.
∴ The probability of drawing a jack on the first try is 1/13.
When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.
∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
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A webmaster makes $24 an hour for the first 38 hours she works during a
week and $31 an hour for each hour worked over 38 hours. Which piecewise
equation models her total weekly pay y in dollars as it relates to the number
of hours x that she has worked during the week?
24x
O A. e=1
OSXS38
x > 38
(31x+912
0
[24x
O B. y = {31(x – 38) +912 x > 38
S24x
(31x
C. y =
OSXS 38
X> 38
(24x
OSX 38
D. y = {31(x-38)
x > 38
Answers
A piecewise function is consists of different relationships between the variables over different intervals
The correct piecewise equation that models her total weekly pay is option B.
[tex]\mathbf{B.} \ y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]
The given parameters are;
The amount made by the webmaster for the first 38 hours she works = $24
The amount she makes for each hour worked after the first 38 hours = $31 an hour
Required:
To find the piecewise equation that models the total weekly pay, y, in dollars in relation to the number of hours x that she has worked during the week
Solution:
If she works for x ≤ 38 hours
The amount she makes working x less than or equal to 38 hours, y = $24/hour × x hours = $24 × x hours
The total amount the webmaster wakes by working all through the normal 38 hours is $24/hour × 38 hours = $912
If she works over 38 hours, (x > 38) we have;
The number of hours she works over 38 hours = x - 38
The amount she makes each hour after working 38 hours, y = $31/hour × (x - 38) hours
The total amount she makes y working for more than 38 hours is given as follows;
y = 31·(x - 38) + 912
The piecewise equation that models her weekly pay is therefore, presented as follow;
[tex]y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]
The above piecewise function is the same as option B
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What is the length of an edge of a cube whose total surface area is equal to 150 square feet? A. 7.5 ft B. 5 ft C. 10 ft D. 25 ft
Answers
Answer:
5 ft
Step-by-step explanation:
Using the formula,
A = 6a²
a² = A/6
a = √(A/6)
a =√(150/6)
a = √25
a = 5
The area of a 2D form is the amount of space within its perimeter. The length of the edge of the cube is 5 ft. The correct option is B.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The total surface area of a cube is 6 times the area of a face which is equal to the square of side of the cube. Therefore, the total surface area of the cube is,
Total surface area of cube = 6a²
Given that the total surface area of the cube is 150 square feet. Therefore, the length of the side of the cube can be written as,
Total surface area of cube = 6a²
150 square feet = 6a²
150 square feet / 6 = a²
25 ft² = a²
a = √(25 ft²)
a = 5 ft
Hence, the length of the edge of the cube is 5 ft.
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Find x. Round your answer to the nearest tenth of a degree.
Answers
Answer:
41.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 9/12
Taking the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1 (9/12)
x = 41.41
To the nearest tenth
x = 41.4
Songs on a band's set list are an example of which type of data?
Answer
O Discrete
O Continuous
O Neither
Answers
Here we want to see which type of set is a band's setlist.
We will see that it is a discrete set.
We can define two types of sets
Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.
Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).
Now, we have a list of songs, that can be written as:
L = {song 1, song 2, song 3, ...}
Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.
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If ST = 3x + 8, SU = 24 and
TU = 2x – 4, what does ST = ?
Answers
Step-by-step explanation:
For TU is it -2x-4 or 2x-4 cause the question and what on your paper are different
Answer:
20
Step-by-step explanation:
ST= SU - TU
=24 - (2x-4)
=24-2x+4=28-2x
but. 2x-4+3x+8 = 5x+4 = 24
5x=24-4=20
x=20/5=4
so ST=28-2x= 28-2(4)
ST=20
ln the given ration 3:4 the consequent is 7,4,3
Answers
[tex]\\ \rm\longmapsto 3:4[/tex]
Convert to fraction[tex]\\ \rm\longmapsto \dfrac{3}{4}[/tex]
4 is the consequentNote.
The first term of the ratio is called consequent.
Answer:
Loading...
Step-by-step explanation:
Can some one please help -18-17 simplified
Answers
Answer:
-35
Step-by-step explanation:
-(18+17)
-35
that should be the answer but don't quote me on it
-18+-17
=-35
that’s the answer
MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using? List your answer as a percent rounded to the nearest tenth.
Answers
Percentage = ( number used / total number) x 100
32/90 = 0.3555
0.3555 x 100 = 35.56%
Rounded to nearest tenth = 35.6%
Mary Anne is using about 35.6% of her quilt squares stock.
What is percent?A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Percent FormulaPercentage = (Value/Total value) × 100.
According to the given question.
Total number of quilt squares Mary Anne have = 90
Number of quilt squares Mary Anne is using = 32
Therefore,
The percent of her quilt square she is using
= [tex]\frac{32}{90} \times 100[/tex]
[tex]= 0.3555\times 100[/tex]
[tex]= 35.6[/tex] %
Hence, Mary Anne is using about 35.6% of her quilt squares stock.
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The inner dimensions of an in-ground swimming pool are: width = 13.0 ft, length = 18.0 ft, and depth = 9.0 ft. The pool walls and the bottom are uniformly 1.0 ft thick and made of concrete. What is the weight, W (in pounds) of the concrete used to construct the pool, if one cubic inch of concrete weighs 0.25 pounds? (Note: You may find it useful to draw a labeled diagram of the pool.
a. 386208
b. 32184
c. 3582
d. 2682
Answers
And you can see the method solution
Note: don't forget put heart ♥️ .
The small base of an isosceles trapezoid is x centimeters long. The large base of the trapezoid is 3
centimeters shorter than twice the length of the small base, and each of the two remaining sides of the
trapezoid is 2 centimeters longer than the small base. If the perimeter of the trapezoid is 26 centimeters.
which of the following must be true?
4x – 3 = 26
4x - 1 = 26
5x – 1 = 26
5x + 1 = 26
Answers
The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
Let ABCD is the isosceles trapezoid.
The small base (BC) of an isosceles trapezoid is x centimeters long.
The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be
AD = 2x - 3
And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be
AB = CD = x + 2
Then the perimeter is the sum of all sides.
If the perimeter of the trapezoid is 26 centimeters.
Then the equation of the perimeter will be
AB + BC + CD + DA = 26
x + 2 + x + x + 2 + 2x - 3 = 26
5x + 1 = 26
Then the correct option is D.
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Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answers
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
Convert 3250 ml to l
Answers
3250 mL = 3.25 L
* 1 mL = 0.001 L
I hope I helped you^_^
Solve For x.
(-4x+5)-(6x+7)=0
(Pls Explain Your Answer in Simple Terms)
Answers
Answer:
[tex] - 4x + 5 - (6x + 7) = 0\\ - 4x + 5 - 6x - 7 = 0 \\ - 10x - 2 = 0 \\ 10x + 2 = 0 \\ 10x = - 2 \\ x = \frac{ - 2}{10} \\ x = - .2 \\ thank \: you[/tex]
-4x-6x=-7-5
-10x=-12
10x=12
X=1.2
Advance Order of Operation
11) [ { 66+11 2-6 ] x 7
121
Answer is 210
Add, multiply I need help ASAP please due tomorrow
Answers
Answer:
pls ur question is not clear is there a space between 11 and 2
A straight driveway leading to a hotel is 150 feet long and 12 feet wide. It is pave with concrete 6
inches thick. At a cost of $6.25 per cubic foot, how much did the concrete cost.
Answers
Help Please!
Find the value of x for which ABCD must be a parallelogram.
Answers
Answer:
2
Step-by-step explanation:
We know that the opposite sides of a parallelogram are equal so:
25x+1=7x+37
18x=36
x=2
Which equation is represented by the table?
Which equation is represented by the table?
Answers
Answer:
The choose A.
y= – | x+1|–4
I hope I helped you^_^
what is the square root of 13y in exponential form
Answers
Answer: 13½
Step-by-step explanation:
the length of each side of a square is multiplied by 4. how many times longer is the new perimeter than the old perimeter??
Answers
Answer:
The answer will befour times
Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
Answers
9514 1404 393
Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800What is the coordinate of point A?
Answers
Answer:
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
Hope it is helpfully.WILL GIVE BRAINLIEST !!
If a tRNA molecule has an anticodon which reads GCUAAA, what was the codon of the mRNA molecule?
O GCUTTT
O CGAUUU
O AGUCCC
O CGATTT
Answers
Answer:
CGAUUU
Step-by-step explanation:
GCU is alanine which translate to CGA
AAA is lysine, and translate to UUU
(which is actually two anticodons, not one)
PLS HELP :( i’ve been trying to understand this but i cant. please explain this if you know how to do it pleaseee
Answers
Answer:
[tex]\huge\boxed{\sf x = 17}[/tex]
Step-by-step explanation:
Since m is a straight line, its measure is 180 degrees.
So,
2x + 5 + 8x + 5 = 180
2x + 8x + 5 + 5 = 180
10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10
x = 17
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!A state lotto has a prize that pays $1,600 each week for 20 years.
The total value of the prize: $1,664,000
If the state can earn 9% interest on investments, how much money will they need to put into an account now to cover the weekly prize payments?
--
I'm so stuck on this question! I've tried every single formula I can remember from the textbook, but I just don't get it! Apparently the answer is "$771,396.86" but I can't for the life of me understand how! Please help!
Answers
Answer:
Step-by-step explanation:
Start by calculating the effective rate of interest:
.09/52= .0017307
(we divide by 52 because there are 52 weeks in a year)
Then just use the annuity formula
[tex]1600(\frac{1-(1+.0017307)^{-(20*52)}}{.0017307})=771396.864393[/tex]