Answer:
330.
Step-by-step explanation:
Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.
Hope this helps!
As per arithmetic Progression, there are 372 seats in the given auditorium.
What is an arithmetic progression?"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Given, the auditorium has 20 seats in the first row.
Then, each successive row contains 2.
We can assume it as an arithmetic progression.
Here, the first term(a) is 20.
The common difference(d) is 2.
Total number of terms(n) is 12.
Therefore, the sum of all the terms is
[tex]= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372[/tex]
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A number is double of another number. If the difference of the numbers is twenty find the numbers
Answer:
20 and 40
Step-by-step explanation:
20 doubled is 40
The difference is 20
Hope this helps! :)
Answer:
20,20
(20 x 2) - 20 = 20
Step-by-step explanation:
2x=y
x-y=20
(20 x 2) - 20 = 20
The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that are leftover from the 24 sections are called priority seats. How many seats are priority seats? I did not understand how to solve this problem.
Divide capacity by sections:
5782 / 24 = 240.9167
The number of seats in each section is needs to be a whole number so there are 240 seats per section:
240 seats per section x 24 sections = 5,760 seats.
Priority seats is capacity - total section seats:
5782 - 5760 = 22
There are 22 priority seats
Help. Ill give u brainlyest
Answer:
C and E
Step-by-step explanation:
The one on the left in the tens place, is ten times more than the one on the right
Based on the side lengths given (a, b, and c), which triangles are right triangles?
Answer:
It's the third option.
Step-by-step explanation:
the answer is b and c
sorry if im wrong
Please help me!
(I have already asked the same question twice)
Answer:
[tex]A=2x^2+8x+6\ yards^2[/tex]
Step-by-step explanation:
Step 1, finding the dimensions:
The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)
Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:
Length: [tex]2x+2[/tex]
Width: [tex]x+3[/tex]
Great! Let's find the area now.
Step 2, finding the area:
The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:
[tex]A=(2x+2)(x+3)[/tex]
We can expand and simplify:
[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]
I hope this helps! Let me know if you have any questions :)
Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1
Answer:
5,1
Step-by-step explanation:
x= tan27⁰ x 10 ≈ 5,1
.....
Answer:
b or c or 5.1
Step-by-step explanation:
The basic trig identity that does not involve the hypotenuse is the Tan(theta).
Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.
The opposite side is the one not making up the reference angle (x in this case).
The adjacent side is the one making up the angle that is not the hypotenuse.
opposite side = x
adjacent side = 10
theta = 27 degrees.
Tan(theta) = opposite / adjacent
Tan(27) = x / 10
Tan(27) = 0.5095
0.5095 = x / 10 Multiply by 10
10*0.5095 = x
x = 5.095
It rounds to 5.1
No one except the answer key can know whether to choose b or c.
S/9 >12 What’s the answer??????
Answer and Step-by-step explanation:
To find the answer, we need to get S by itself. To do so, we multiply both sides of the inequality by 9.
S > 108
So, S is greater than 108.
#teamtrees #PAW (Plant And Water)
Find mZY.
42-/3
N
Y
O
84
Х
mZY =
Submit
Please help
Answer:
[tex]m\angle Y=30^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}[/tex]
On a piece of paper, Graph y
What is the percent decrease from 345 to 300 rounded to the nearest percent
Answer:
-13.04.
Step-by-step explanation:
40% of Ms smarts class did their homework last night if there are 30 students in the class how many did there homework last night?
12 students
Step-by-step explanation:
40 % ×30 students = 1200 ÷ 100% =12students
three slices of mcdonald's pizza have 798 calories kylon ate 6 slices of the same pizza every saturday night for four weeks how many calories would he have consumed over four weeks.
answer:
20 out of 798
Step-by-step explanation:
6x4=20
A cylinder has a height of 18 feet and a diameter of 38 feet. What is its volume? Use it %
3.14 and round your answer to the nearest hundredth
Answer: 20,403.72ft3
Step-by-step explanation:Volume formula for cylinder is = 2h
V=Volume
=pi=3.14
r=radius
h=height
Step 1: find the radius.
Diameter=38
so divide 38 by 2
=19
Step 2: Plug in and solve for Volume.
V=3.14x19^2x18
= V=1133.54x18
= V=20,403.72
Cassie entered a 5 km race. she ran 3 km. how many meters did Cassie run? Plz help me
Answer:
3000 Meters?
Step-by-step explanation:
I say the question mark because kilo quite literally just means 1000. If she ran 3 of these sets of Kilometers, that would be 3000.
Answer:
3000 meter hope this helps
Let’s revisit the situation of making a medical supply drop from a helicopter to survivors of a natural disaster. The crate can withstand an impact of 165 ft/sec. If the helicopter has to make the drop at 450ft, then the height of the crate as a function of time is: h(t) = 450 -16t2. The crate will land 5.3 sec after the drop is initiated. Will the crate and medical supplies survive? Show/explain how you know.
You need to compare the instantaneous rates of change.
Answer:
When dropped from 450 feet, the crate and medical supplies will not survive the impact
Step-by-step explanation:
The impact that the crate can withstand when dropped = 165 ft,/sec
The function for the height of the crate at 450 ft. = 450 - 16·t²
The time the crate will land after drop = 5.3 sec
Therefore, we have;
Velocity, V(t) = d(h)/dt
∴ v(t) = d(450 - 16·t²)/dt = -32·t
Given that the time the cate lands after drop, t = 5.3 seconds, we have;
The velocity at 5.3 seconds after drop, v(5.3) = -32 × 5.3 = -169.6
The velocity at 5.3 seconds after drop, v(5.3) = 169.6 ft./sec. (downwards)
Therefore, given that the velocity of the crate at 5.3 seconds (169.6 ft./sec.) is higher than the velocity at which the crate can withstand an impact (165 ft./sec.) the crate and medical supplies will not survive.
What are all the values of x for which √x-3 is an imaginary number?
Answer:
x < 3
Step-by-step explanation:
if the value under the square root sign is negative the result is imaginary.
A swimming pool has a length of 12 feet, a width of 8 feet, and a depth of 9 feet. What is the volume of the pool in cubic feet?
Answer:
V=864 cubic feet
Step-by-step explanation:
Volume of a rectangular prism is Length x width x depth
So V=12x8x9
V=864 Cubic feet
Find the domain of the graphed function. A.x>=0 B. x is all real numbers. C.-9<=x<=5 D.0<=x<=10
The domain of the function represented by the graph is x ≥ 0
How to determine the domain of the graph?The function is represented by the graph of the function
From the given graph, we have the following observations
The graph is a trigonometric graphThe x values of the graph starts from 0 and increases towards the positive axisThis means that the function has a domain of all set of real values greater than or equal to 0
This is represented as
x ≥ 0
So, the domain is x ≥ 0
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2
А
B
G
30°
F
D
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 60°
Step-by-step explanation:
∠ CGE = ∠ FGD = 30° ( vertical angles )
∠ CGB = 90° , then
x + 30° = 90° ( subtract 30° from both sides )
x = 60°
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)
Answer:
A
Step-by-step explanation:
What is the area of the shaded part of the figure below?
Please hurry I need the answer by tomorrow!!!
Answer:
192 i think
Step-by-step explanation:
60 points and brainiest!!!!!! Pls help me
Answers:
1.) x - 3, x < -3
2.) x - 3, x>3
3.) x - 3, -3 <_ x > 3
4.) 2/5, 3/6
5.) 8, 10
Calculate the exact value of 0.5/0.5 * 0.3. Show working please
Answer:
0.3 if you typed the calculating correctly.
because then all operations are of the same priority and ranking, and we go simply from left to right :
0.5/0.5 = 1
and then there is 1 × 0.3 = 0.3
but if you missed to write any brackets like for
0.5/(0.5 × 0.3)
then this goes differently, because now 0.3 is in the bottom part of the division/quotient.
we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with
1/0.3
now, what is 0.3 ?
it is actually 3/10.
so, we have 1/(3/10) which is the same as
(1/1) / (3/10)
to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us
(1×10) / (1×3) = 10 / 3 = 3.33333...
so, please pick the solution that best fits your actual question.
Convert 1/5 to a percentage.
And
Convert 12/100 to a decimal.
Please help.
Answer:
Step-by-step explanation:
to convert the fraction to percentage just multilpy the fraction will 100%
1/5
1/5*100%
100%/5
20%
12/100
3/25
0.12
or in division decimal point goes to the right side
12 can also be written as 12.00 so move the decimal point 2 unit right which becomes .12 .In this case we should move 2 units right because there it is divides by hundred and there are 2 zeros in number hundred.Remember how many units to move right depends upon the number it is divided with.
1/5 is equal to 20% when expressed as a percentage and 12/100 is equal to 0.12 when expressed as a decimal.
To convert 1/5 to a percentage, we can multiply it by 100.
(1/5) * 100 = 20%
Therefore, 1/5 is equal to 20% when expressed as a percentage.
To convert 12/100 to a decimal, we divide the numerator (12) by the denominator (100).
12 ÷ 100 = 0.12
Therefore, 12/100 is equal to 0.12 when expressed as a decimal.
When converting a fraction to a percentage, we multiply the fraction by 100. In this case, 1/5 is equivalent to 0.2 as a decimal. Multiplying it by 100 gives us 20%, expressing the fraction as a percentage.
When converting a fraction to a decimal, we divide the numerator by the denominator. In the case of 12/100, dividing 12 by 100 gives us the decimal representation of 0.12.
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37. Find the area of each square below.
Answer:
Step-by-step explanation:
a=4 square units
b=9 square units
sqrt (4+9)
(sqrt(13))^2
c= 13 square units
find the area for this figure
Which of the following represents
the graph of this equation?
Help Resources
y = |x - 2|
Answer:
There isnt a graph.
Step-by-step explanation:
I NEED HELP ASAP!!!!
Answer:
The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
Step-by-step explanation:
Bab isn’t big-brained enough for mafs. Help, please?
2V2 km
2 km
X
A) 2V5 km
C) 2 km
B) 2V3 km
D) 4 km
HELP PLEASEE
Answer:
[tex]x=2\sqrt3\ km[/tex]
Step-by-step explanation:
Given that,
The base of a triangle = 2 km
The perpendicular height of the triangle = [tex]2\sqrt{2} \ km[/tex]
We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :
[tex]x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km[/tex]
So, the value of x is equal to [tex]2\sqrt3\ km[/tex].