Answer:
the answer is 30
Step-by-step explanation:
cos60=1/2=>sinx=1/2=>x=30
One year, the population of a city was 120,000. several years later it was 133,200. find the percent increase.
Answer:
11%
Step-by-step explanation:
old population- 120,000
new population- 133,200
increase - 133200-120000
=13200
percentage increase:
(13200*100)/120000
=11%
Polly bought a new collar and leash for her dog. The total was $7.50. She paid with a ten-dollar bill.
How much change did she receive? $
Juan manages a restaurant which is currently hiring. On Tuesday he interviewed 3 waiters, 2 chefs, and 4 dishwashers. On Wednesday he interviewed 4 waiters, 4 chefs, and 4 dishwashers. Each day one woman applied for a job while the rest were men. What is the probability that the woman shared the same profession?
Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.
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]
The probability of both being a waiter is,
P(Both Waiter) = (3/9)×(4/12) = 1/9
The probability of both being chefs,
P(Both Chef) = (2/9)×(4/12) = 2/27
The probability of both being a Dishwashers,
P(Both Dishwasher) = (4/9)×(4/12) = 4/27
Thus, the probability that the woman shared the same profession is,
Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33
Hence, the probability that the woman shared the same profession is 0.334.
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Find the key features of the equation and graph it. (Can you explain how to find them and not just the answers please)
Given a function in a table or in algebraic or graphical form, identify key features such as x- and y-intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior. Use key features of an algebraic function to graph the function.
8) An extremely handsome math teacher is on African
Safari and sees a hungry lion that just spotted a zebra
headed towards a river. He knows that the lion's top
speed is about 45 feet per second and the zebra's about
40 feet per second. It looks like the Zebra is about 200
feet from the river and the Lion is about 220 feet from the
river.
Complete the table to represent each animals distance
a) Is it good news for the zebra?
b) Write an equation to describe the lion's situation.
c) Write an equation to describe the zebra's situation.
bro i will give you 50 pts
Answer:
One less zebra
Step-by-step explanation:
T z l
0 200 220
1 160 175 (subtract 40 from 200 and 45 from 220)
2 120 130
3 80 85
4 40 = 40 <===== lion has zebra lunch before the river is reached
Zdistance = 200 - 40s
Ldistance = 220 - 45 s where 's' is seconds
5. A baseball card sold for $241 in 1975 and was sold again in 1988 for $405. Assume that the growth in the value V of the collector's item was exponential.
The exponential growth rate of the baseball card given its price in 1975 and 1988 is 4.07%.
What is the exponential growth rate?The exponential growth rate is the rate of increase in the value of an asset with the passage of time.
Exponential equations have the form a[tex]b^{x}[/tex]
Growth rate = (future value / present value)^(1 / number of years)
(405 / 241)^(1/13) = 4.07%
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Find the missing angles.
Answer:
1: 81 is the overall angle, so to find the 2nd angle that makes up the overall angle, just subtract the 1st angle from the overall angle. it would be 81 - 44 = 37. so your answer is 37°.
2: this one is solved the same as number 1, just different numbers. it would be 98 - 59 = 39. your answer is 39°.
3. we know this is angle is a right angle because of the square indicating it. a right angle is 90°, so we would take 90 - 63 = 27. so your answer is 27°.
if the sum of lengths of two adjacent sides of parallelogram is 5 units then what is the perimeter of the parallelogram
Answer: 10
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so the sum of the lengths of each pair of adjacent sides must be 5. Thus, the perimeter is 5(2)=10.
2.96 , 3 and 1/5 , 3.48 , 3 and 1/4 greatest to least
Answer:
3 , 2.96 , 1/5 (0.2)
3.48 , 3 , 1/4 (0.25)
Step-by-step explanation:
descending order
Amy is planning the seating arrangement for her wedding reception. Each round table can sit 10 guests. The head table can sit the bride and groom with the 6 wedding attendants. If Amy expects 186 to 236 guests to attend her wedding, including the attendants, what is the range for the number of round tables she will need for her reception?
You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
•
A. $30,000/year
B. $15.00/hour
C. $30,000/year with a 10% bonus
D. $15.00/hour and a $2,000 bonus at the end of the year
The answer is:
$30,000/year with a 10% bonus
8x(12+7-9)-(4+10) what’s the answer
Equation- 8x(12+7-9)-(4+10)
Answer- 80x−14
find f(3) when f(x)=2x+5
Answer:
f(3) = 11
Step-by-step explanation:
Substitute x=3 into the equation so:
f(3) = 6+5
f(3) = 11
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
find f(3) when f(x)=2x=5
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Write 3 in lieu of x and simplify:-
[tex]\Large\text{f(3)=2(3)+5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{f(3)=6+5}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\Large\text{f(3)=11}[/tex]
Good luck with your studies! :-)[tex]\rule{50}{1}\smile\smile\smile\smile\rule{50}{1}[/tex]
What is the area of the equilateral triangle, rounded to the nearest tenth? 2.7 cm2 4.1 cm2 16.2 cm2 24.2 cm2
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
This question is incomplete, the complete question is:
An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. What is the area of the equilateral triangle, rounded to the nearest tenth?
What is a triangle?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
An equilateral triangle is a triangle with all its three sides having the same length
The area of an equilateral triangle is expressed as;
A = ((√3)/4)a²
Where a is the length of the side
Perimeter of an equilateral triangle is expressed as;
P = 3a
Where a is the length of the side
Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;
P = 3a
22.45cm = 3a
a = 22.45cm / 3
a = 7.48cm
Now, the area of the equilateral triangle will be;
A = ((√3)/4)a²
A = ((√3)/4) × (7.48cm)²
A = 0.433 × 55.9504cm²
A = 24.2cm²
The area of the equilateral triangle with the given perimeter is 24.2cm².
Hence, option D)24.2cm² is the correct answer.
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What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
2
Step-by-step explanation:
Hey there!
In order to find the mode, you need to find the number thatis plotted the most
As you can see on the line plot, the number 2 has been plotted more than the other numbers
Meaning, that 2 is the mode
Answer:
2
Step-by-step explanation:
:)
Describe fully the single transformation that maps triangle A onto triangle B.
5
A
4
B
3
2
1
1
-5 -4 -3 -2 -1 0
-1
2 3
х
5
5
-2
و دن د
-3
-4
-5
x+
Describe fully the single transformation that maps triangle A onto triangle B
Answer:
reflection in the line y=4
Step-by-step explanation:
Triangle B is a mirror image of Triangle A. Point (-1, 4) is shared between the two figures, so is invariant in the transformation.
__
Triangle B is a reflection of Triangle A in the horizontal line y=4.
which unit would be best to measure a wheal
Inches i believe. This of course depends on the size of the wheel, but if its a wheel on a care it would be inches.
what does the equation 7x^2-3y^2-x+2y+4=0 represent
a)circle
b)ellipse
c)hyperbola
d)parabola
Answer:
Circle
Step-by-step explanation:
because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1
ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1
parabola is y= a (x-h) 2+ k
that's why circle is the answer
1 is greater than w, and -5 is less than w
Answer:
Step-by-step explanation:
W can = 0, -1, -2, -3, and -4.
Answer:
W = 0, -1, -2, -3, -4
Step-by-step explanation:
W can not be 1 because it says 1 is greater than w
W can not be -5 because it says -5 is less than w
W can be 0, -1, -2, -3, and -4 because they fit what your question is.
Hope this helps!
help pls pls pls pls pls pls
Answer:
63
Step-by-step explanation:
(1/2) · b · h
(1/2) * 14 * 9 = 63
Answer: 63 in²
Step-by-step explanation:
The problem gives us the formula to use. We will simplify plug in the correct values and solve.
b = base
h = height
[tex]\displaystyle \frac{b*h}{2}[/tex]
[tex]\displaystyle \frac{14*9}{2}[/tex]
[tex]\displaystyle \frac{126}{2}[/tex]
63
63 square inches
What is radius? Help me out.
Answer:
Radius is half the diamiter of a circle, basically the whole length from one point of the circle to the middle.
Answer:
Radius is how far the middle of the circle is from the edge of the circle. For example, we know that a circle has a middle point and we know that we have a line around it in the shape of a circle. The radius would be the distance from the middle point to the outer line of the circle.
the company sells laundry soap in boxes, 4 inches by 8
inches by 12 inches. The company wants to offer larger economy size boxes.
uit in ea
a. What changes in dimensions would give a box with double the volume?
can someone help with this question?
Answer:
c=5.50b
Step-by-step explanation:
Answer:
5.50 x b = c or 5.50b = c
Step-by-step explanation:
5.50 is the base amount, with B amount of necklaces.
Also please refrain from cheating on the CAT test.. especially in 6th grade.
Need a some help with explanation. Thank you
Answer:
C. (1, 3)
Step-by-step explanation:
The x-coordinate of a point is the measure of the horizontal distance a point is to the right of the y-axis. When the point is translated 4 units to the left, its x-coordinate is reduced by 4: x ⇒ x-4.
The y-coordinate of a point is the measure of the vertical distance a point is above the x-axis. When the point is translated 2 units up, its y-coordinate is increased by 2: y ⇒ y+2.
__
translated pointsThe translation 4 units left and 2 units up can be summarized by ...
(x, y) ⇒ (x -4, y +2)
Then the translated vertices are ...
Q(1, 3) ⇒ Q'(1 -4, 3 +2) = Q'(-3, 5)
R(5, 1) ⇒ R'(5 -4, 1 +2) = R'(1, 3) . . . . . . . matches choice C
S(3, 5) ⇒ S'(3 -4, 5 +2) = S'(-1, 7)
Of the points listed, the point (1, 3) matches a translated vertex.
A copper pipe has an outside radius of 3 centimeters. The pipe is 200 centimeters long and the copper is 0.2 centimeters thick, so there is a cylindrical hole through the center of the pipe. What is the volume of the copper used to make the pipe
The volume of the copper used to make the pipe is 25.12 cm³.
To calculate the volume of the copper used to make the pipe, we use the formula below.
Formula:
V = πht²................ Equation 1Where:
V = Volume of the copperh = Length of the copper pipet = Thickness of the copper pipeπ = PieFrom the question,
Given:
h = 200 cmt = 0.2 cmπ = 3.14Substitute these values into equation 1
V = 200(3.14)(0.2²)V = 25.12 cm³Hence, the volume of the copper used to make the pipe is 25.12 cm³
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4) An architect is designing a tapered office
tower where the ground floor (floor 0) is
the largest and the floor space is reduced
by 5% per floor. If the ground floor has
an area of 1,140.0 m², what is the area of
the 9th floor?
The area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent :
[tex]\rm y = a^x[/tex]
where a is a constant and a>1
We know we can find the exponential decrease by the below formula:
[tex]\rm y = a(1-r)^n[/tex]
We have a = 1140 m²
r = 5% = 0.05
n = 9
[tex]\rm y = 1140(1-0.05)^9[/tex]
y = 718.48 m²
Thus, the area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.
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Seventy percent of the class is present. There are 14 kids present. How big is the whole class?
Answer:
20
Step-by-step explanation:
Find 30% of the class
then add it
30% x 14 / 70% = 6
6 + 14 = 20 kids
Hope it helped ! Have a nice day !
we know that 14 is 70%, how much will it be for 100%? or namely the whole class?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14 & 70\\ x& 100 \end{array} \implies \cfrac{14}{x}=\cfrac{70}{100}\implies \cfrac{14}{x}=\cfrac{7}{10} \\\\\\ 140=7x\implies \cfrac{140}{7}=x\implies 20=x[/tex]
what is the probability that a coin will land on heads
Answer:
50%
Step-by-step explanation:
When you toss a coin it will either land on tails or heads, so we have 2 possibilities who have the same chance of happening. Thus the probability that the coin lands on heads is 50% (same for tails).
Answer:
0.5
Step-by-step explanation:
Because probability is always between 0 and 1
how to do the 2nd the 3rd one?
z + 38° = 180°
(L.P)
z = 142°
y = 32° (alternative angle of angle FCA)
x = 142° (alternative angle of angle z)
2.x + 65 = 180
(l.p)
x = 180 - 65
x = 115°
y = x (alternative angle of x)
y = 115°
z = y (V.O.A)
z = 115°
~Tulpe⚘
Answer:
Step-by-step explanation:
2) Linear pair: Two angles are called linear when they are adjacent angles and the non common arms form a straight line. They add uo to 180
z + 32 = 180 {linear pair}
z = 180 - 32
z = 148°When parellel lines are cut by a transversal alternate interior angles are equal.
y = 32° {Alternate interior angles}
x = z {Alternate interior anlges}
x = 148°
3) x +65 = 180 {linear pair}
x = 180 - 65
x = 115°y = x {Alternate interior angles}
y = 115°z = y {Verically opposite angles}
z = 115°
Part c what are the dimensions of the rectangular prisms you identified in parts a and b? list dimensions for all your decompositions (sets of shapes).
previous:
part a
think about splitting this shape into rectangular prisms. what is the least number of rectangular prisms in which you can split the shape? answer: 3
part b
in how many different ways can you split the shape to get the same number of rectangular prisms you identified in part a?
answer: 2
The dimensions of the rectangular prisms are the side lengths of the rectangular prism
How to determine the dimensions?A rectangular prism has the following dimensions
Length, width and height
This means that the dimensions of the rectangular prisms are the length, width and height of the prism
To determine the dimension, we simply take the value of the above terms i.e. length, width and height
How to split the rectangular prism?To split the rectangular prism, we simply consider the faces of the rectangular prism.
A rectangular prism has 6 faces
Hence, there are 6 shapes when the rectangular prism is split
Note that the question is incomplete, so I gave a general explanation
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