Answer:
Base is 21
Step-by-step explanation:
I'm gonna be honest, just divide 336 by 16.
However just in case you meant volume instead of area because you said (bases), they would be 5 and 4.2
Use summation notation to write the series -1+2-4+8-16... for 12 terms
Answer:
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
Step-by-step explanation:
The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT
Answer:
The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).
Step-by-step explanation:
someone please help, will reward brainliest!!
Answer:
Step-by-step explanation:
-7m-8=m-4
I need help with this question
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Sybil has 1/2 of pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza does sybil and her friends each receive.
Answer:
1/6
Step-by-step explanation:
Double the original amount: 1/3. Which is 1/6, not 2/6, if it was 2/6 then people waould get 1/3 instead (not equal).
Complete the congruence statement.
Answer:
QPR
Step-by-step explanation:
If PQR = GHI, then HGI = QPR
Which fraction is equivalent to 1/6
1/3
2/8
3/24
4/24
Answer:
the last one- 4/24
Step-by-step explanation:
ive answered this question before and got it correct
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
Please help!! Math
What is the missing value of the missing angle?
A. 43*
B. 133*
C. 90*
D. 47*
A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x, y) at time t according to the relationship,
cos theta 2x/2y + gt2
where theta = the angle of elevation of the launcher and g = the acceleration due to gravity An artilleryman is firing at an enemy bunker located 2450 feet up the side of a hill that is 6175 feet away. He fires a round, and exactly 2.27 seconds later he scores a direct hit.
(a) What angle of elevation did he use?
(b) If the angle of elevation is also given by sec θ = υ0t/x. where υ0 is the muzzle velocity of the weapon, find the muzzle velocity of the artillery piece he used.
Answer:
a. 22.3°
b. 2940.16 ft/s
Step-by-step explanation:
Here is the complete question
A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x, y) at the relationship cot theta = 2x/2y + gt^2 where theta is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 feet/second^2). An artillery man is firing at an enemy barker located 2275 feet up the side of a hill that is 6325 feet away. He fires a round, and exactly 2.84 seconds later he scores a direct hit.
a. What angle of elevation did he use? theta = degree (Do not round until the final answer. Then round to one decimal place as needed.)
b. f the angle of elevation is also given by sec theta = v_0 t/x, where v_0 is the velocity of the weapon, find the muzzle velocity of the artillery piece he used. v_0 = feet/second (Round to two decimal places as needed.)
Solution
(a) What angle of elevation did he use?
Given that cosθ = 2x/(2y + gt²) where x = horizontal distance of projectile = 6175 feet away,y = vertical distance of projectile = 2450 feet up, g = acceleration due to gravity = 32 ft/s² and t = time of hit = 2.27 s
So, cosθ = 2x/(2y + gt²)
cotθ = 2 × 6175 ft/(2 × 2450 ft + 32 ft/s² × (2.27 s)²)
cotθ = 12350 ft/(4900 ft + 32 ft/s² × 5.1529 s²)
cotθ = 12350 ft/(4900 ft + 164.8928 ft)
cotθ = 12350 ft/(5064.8928 ft)
1/tanθ = 2.4384
tanθ = 1/2.4384
tanθ = 0.4101
θ = tan⁻¹(0.4101)
θ = 22.3°
(b) If the angle of elevation is also given by sec θ = υ0t/x. where υ0 is the muzzle velocity of the weapon, find the muzzle velocity of the artillery piece he used.
Making u0 subject of the formula, we have
u0 = xsecθ/t
u0 = x/tcosθ
since x = 6175ft, t = 2.27 s and θ = 22.3°, then
u0 = x/tcosθ
u0 = 6175 ft/(2.27 s × cos22.3°)
u0 = 6175 ft/(2.27 s × 0.9252)
u0 = 6175 ft/(2.1 s)
u0 = 2940.16 ft/s
Select the correct answer from each drop down menu. The square root of 15 look at image
Answer:
a=15
b=7
c=4
Step-by-step explanation:
[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]
Theo has one piece of train track that is 74 millimeters long and a second piece of train track that is 97 millimeters long.
How many meters of track does Theo have in all?
0.171 m
1.71 m
17.1 m
171 m
Please helpppp i will mark brainlisttt
What is an equation of the line that passes through the point(-1,-3) and is perpendicularly to the line x-2y=14
Answer:
the equation will be
Step-by-step explanation:
2x+y+5=0
Answer:
2x + y + 5 = 0
Step-by-step explanation:
The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.
Find the slope of given line by converting it into slope intercept form.=> x - 2y = 14
=> 2y = x - 14
=> y = x-14/2
=> y = x/2 - 7
Comparing to y = mx + c ,=> Slope (m) = 1/2 .
Now the slope of line perpendicular to it , will have a slope ,
=>[tex] m_{perp}[/tex] = -1/m
=>[tex] m_{perp}[/tex] = -1/½
=> [tex] m_{perp}[/tex] = -2
Using point slope form ,=> m = (y - y₁) / ( x - x₁)
=> -2 = { y - (-3) } / { x - (-1) }
=> -2 = y + 3/x + 1
=> -2(x + 1) = y + 3
=> -2x -2 = y + 3
=> y + 2x +3+2 = 0
=> 2x + y + 5 = 0
Hence the equation of line perpendicular to it is 2x + y + 5 = 0 .HELP ME PLEASEEEEEEEEEEEE
Answer:
A) 3.5 m
Step-by-step explanation:
3.5 x 2 = 7/2 = 3.5
write a sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4
Answer:2sin(8/3x)+3
Step-by-step explanation:
The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]
What is midline?"It is the horizontal center line about which the function oscillates above and below. "
What is amplitude?"It is the distance between the highest point and midline."
What is time period?"It is the length of one complete cycle of the curve."
What is vertical shift?"It is the distance between midline and x-axis."
What is equation of sine graph?"The generalized equation for a sine graph is as follows:
[tex]y = A~sin(B(x + C)) + D[/tex]
where, amplitude = A
period = 2π/B
phase shift = C
vertical shift = D"
For given function,
A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4
A = 2
T = [tex]\frac{3\pi}{4}[/tex]
In this case, the midline is 3
⇒ D = 3
Using the generalized equation of sine function,
[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]
Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]
Learn more about sine function here:
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Which expression is equivalent to 128?
Answer: 2^3 x 2^4
Step-by-step explanation:
The value of the exponential expression is A = 2³.2⁴ = 128
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the value of the exponential equation be A
Now , the first expression is p = 2³
The value of p = 8
Now , the second expression is q = 2⁴
The value of q = 16
From the laws of exponents , we get
p.q = 2³.2⁴ = 2³⁺⁴
The value of A = 2⁷ = 128
Hence , the exponential equation is 2⁷ = 128
To learn more about exponents click :
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In the first region are located 6 Rattatta Pokemon hidden in the grass at any given time and 8 Pidgey Pokemon. What would be the probability of running a Rattatta Pokemon?
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 3.5%. Non money is added or withdrawn from the account. How much will be in the account after 5 years? How much will be in the account after 20 years?
Answer:
5 years : 1781.52
20 years: 2984.68
The sum of a number and 45 plz need the answe
Answer:
n + 45
Step-by-step explanation:
The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.
Hope this helps.
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 6 cm in diameter. About how many square centimeters will she need to frost each cookie?
Answer:
9 pi
Step-by-step explanation:
Answer:
28.274 cm^2 (remember units are important)
Step-by-step explanation:
The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:
A = pi(r^2)
here the radius is 1/2 the diameter of 6 cm:
A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2
Find the area of the parallelogram shown below 5 3
Answer:
15 square units
Step-by-step explanation:
If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.
All you have to do is length x height
5 x 3 = 15
Work out the perimeter of this shape. Please help!
Answer: 138
Step-by-step explanation:
(65*2)=130
(4*2)=8
130+8=138
Answer:
2 (l+b )=2 (65+4)=2×69=128
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answer:
B. No
Step-by-step explanation:
I calculated it logically
3 9 26
a. Use eoch digit once, make the smallest 4-digit number:
b. Use each digit once, moke the largest 4-digit number :
c. You can use one diga twice, make the smallest 4-digit number:
c. You con use one digit twice make the largest 4-digit number
.
Find the mode 9,10,15,17,15,14,37,45,42,13
answer:
15
step-by-step explanation:
9, 10, 15, 17, 15, 14, 37, 45, 42, 13
mode means the number that appears the mostin the set of numbers, 15 appears twice, which the others appears only oncePLEASE PLEASE HELP ME!!! Carla rode her bicycle 4 miles to the park and it took her 30 minutes.
What was her speed in miles per hour?
A.8 mi/h
B.2 mi/h
C.120 mi/h
D.7.5 mi/h
Answer:
30 mins = 0.5 hours
4.5 miles/0.5 hours = your answer
Step-by-step explanation:
Answer:
speed = distance
time
speed = 4
30
speed = 7.5
what is 5 1/2 + 2 1/7
Answer:
[tex]7\frac{9}{14}[/tex]
Step-by-step explanation:
5 1/ 2 +2 1/ 7
= 11/ 2 +2 1/ 7
= 11/ 2 + 15/ 7
= 107/ 14
=7 9/ 14
Answer:
7 9/14
Step-by-step explanation:
Combine the whole numbers and fractions together:
(5 + 2) + ( 1/2 + 1/7)
The whole numbers part is:
5 + 2 = 7
For the fractions part:
The Least Common Multiple (LCM) of 2 and 7 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
1/2 + 1/7 = 1 × 7 + 1 × 2
--------- ------- = 7 /14 + 2/14 = 7 9/14
2 × 7 + 7 × 2
Find the area of the image below
Answer:
The answer is 65 square units