Problem 9
Answer: FalseReason:
The height of the cylinder is 2.5 ft. It's misleading because the cylinder is tipped onto its side, so it appears that 4 ft is the height. The height of any cylinder is always perpendicular to the circular base. It might help to rotate the paper so that the circular base is horizontal.
==============================================================
Problem 10
Answer: FalseReason:
The diameter of the base is 4 feet, which divides in half to 2 feet and it's the radius of the circle.
Area = pi*(radius)^2 = pi(2)^2 = 4pi
So the area expression should be either pi(2^2) or pi(4) or 4pi
==============================================================
Problem 11
Answer: TrueReason:
V = pi*r^2*h
V = 3.14*2^2*2.5
V = 31.4 cubic feet
This volume is approximate since pi = 3.14 is approximate.
What is 30,182 rounded to the nearest ten thousand?
Answer:
30,000
Remember the hundreds place rounding rule...
Between 0 to 400? Keep the same, or round down.Between 500 to 900? Round up.Answer:
30,000
Step-by-step explanation:
the answer is 30,000 because, the three is getting rounded up or down based on the zero behind it. Since there is no way the three can round up because the zero is under five, all the numbers after it shall become a zero. But if it were a decimal, the answer would just be thirty. But the actual answer is 30,000
Find all solutions to the equation
in the interval [0, 27). Enter the
solutions in increasing order.
cos 2x + cos x = 0
It looks like the equation is
cos(2x) + cos(x) = 0
Use the double angle identity for cosine to write this as
(2 cos²(x) - 1) + cos(x) = 0
2 cos²(x) + cos(x) - 1 = 0
Factorize the left side:
(2 cos(x) - 1) (cos(x) + 1) = 0
Then either
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
2 cos(x) = 1 or cos(x) = -1
cos(x) = 1/2 or cos(x) = -1
[x = cos⁻¹(1/2) + 2nπ or x = -cos⁻¹(1/2) + 2nπ]
… or [x = cos⁻¹(-1) + 2nπ]
(where n is any integer)
x = π/3 + 2nπ or x = -π/3 + 2nπ or x = π + 2nπ
We get the following solutions in the interval [0, 2π):
x = π/3 and x = π and x = 5π/3
help pls!!!
free brainleist
Answer:
28
Step-by-step explanation:
subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28
Answer:
ah P00
Step-by-step explanation:
Five is to three as thirty is to what number?
5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.
pls help!!! What is the surface area of the pyramid?
Answer:
SA = 224 ft^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 8
H = 10
SA = (B×B) + 4((1/2)×(B×H))
SA = (8×8) + 4((1/2)×(8×10))
SA = 224 ft^2
One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm
Answer:
84 cm, 15 cm
Step-by-step explanation:
Check the attachment.
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
How much is the family spending all at the fair?
Answer:
$18.50
Step-by-step explanation:
because there are 6 people, to find out the total discount, we do:
2.50 x 6 = 15
This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is
96 + 15 = 111
Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:
$18.50
Hope this helps! If you have any further questions, let me know!
- profparis
help me find x for both, please?
Some General Information:
⇒ both triangles are isosceles triangle
⇒because two of the angles are equal to each other
⇒ which means there are two equal sides that always join at the
same angle to the base (the third side), and meet directly above
the midpoint of the base (I attached a diagram for a better
explanation)
Question 11:
⇒ x and 10 are equal
⇒ because their sides join the third side at the base with the same
angle
⇒ so x = 10
Question 12:
⇒ '2x + 23' and 7 are equal
⇒ because their sides join the third side at the base with the same
angle
⇒ so:
[tex]2x+23=7\\2x=-16\\x = -8[/tex]
⇒ thus x = -8
Hope that helps!
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6) ∘ and m\angle B=(8x-27)^{\circ}∠B=(8x−27) ∘ , then find the measure of \angle B∠B.
Answer: 141 degrees
Step-by-step explanation:
Question regarding proportions and inference - What is the proportion of tourists who visit Skydeck Willis Tower in Chicago? One hundred fifty tourists visiting Chicago voluntarily filled out a questionnaire. Sixty-three of them indicated that they had visited Skydeck Willis Tower or were planning on doing so. To answer the question above one would calculate:
Question 2 options:
Answer:
gang
Step-by-step explanation:
ion
What is the measure of each angle in the circle?
36°
40°
45°
60°
Answer:
45 degrees
Step-by-step explanation:
360 degrees is a whole circle, and there are 8 slots
360 / 8 = 45
HELLPP PLEASE ASAP!!!!
Which function represents the sequence? 45, 40, 35, 30, 25
Answer:
the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest
Step-by-step explanation:
find the slope of the line graphed below.
Answer: I got 4/7
Step-by-step explanation:
(-3,1)(4,5)[this points from graph btw]
the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]
[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]
PLEASE HELP ASAP! Find the volume of the prism.
Answer:
5 * sqrt(3)
Step-by-step explanation:
First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.
According to the Pythagorean Theorem, the height is the square root of 3.
The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).
Now just multiply by 5.
The answer is 5 * sqrt(3), the one you have selected in the image.
Buddy orders 50 burritos for a conference meeting.
Each burrito costs $5 how much will he spend?
A $316
B $134
C $250
D $562
A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?
Answer:
35 divided by 5 = 7
Step-by-step explanation:
A sample of students is taken from the school's A honor roll. The school
estimates that there are actually 360 students on the A honor roll. Using this
sample, how many students on the A honor roll are 8th graders?
6th: 15
7th: 11
8th: 14
Please help don’t just like the others that don’t really help
Answer:
Number of 7th Graders= 360 - X
Step-by-step explanation:
As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.
Identify the domain of the following rational expression:
7x
3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.
The domain for the rational expression as given in the task content is; All real numbers except -5.
Domain of Rational functionsThe domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.
On this note, the expression is undefined when, 3x + 15 = 0.
Hence, the domain is All real numbers except -5.
Read more on rational functions;
https://brainly.com/question/13763081
Find the oils for and the odds against the event rolling a fair die and getting a 3, a 2, a 6, or a 4
Answer:
See below ↓↓↓↓
Step-by-step explanation:
⇒ 3
Odds for : 1/6Odds against : 5/6⇒ 2
Odds for : 1/6Odds against : 5/6⇒ 6
Odds for : 1/6Odds against : 5/6⇒ 4
Odds for : 1/6Odds against : 5/6Determine the solution, if any, to the system of equations below
8x - 2y = 1
-4x + y=3
Show your work.
Answer:
This question cant be determine
Step-by-step explanation:
there's no input
When the bank returns a check for which there is not enough money in the bank to cover it, what do we call the check?
o uncovered
O irresponsible
O bounced
o free
Anvils Works' requires, on average, 2,500 tons of aluminum each week, with a standard deviation of 800 tons. The lead time to receive its orders is 11 weeks. The holding cost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stock probability. Use Table 11.5.
Suppose its on-hand inventory is 5050 tons, on average. What in-stock probability does it offer to its customers?
Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%
What is the in-stock probability?To find the in-stock probability, you first need to find the Z score as:
= On-hand inventory / Standard deviation x √(lead time + 1)
Solving gives:
= 5,050 / 800 x √(11 + 1)
= 5,050 / 2,771.28
= 1.82
With a Z score of 1.82, the probability according to the Z tables will be 96.56%
Find out more on Z scores at https://brainly.com/question/25638875.
Help Asap please 100 points
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact measure of θ?
The exact measure of the angle is 45°.
How to get the angle?
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
what is 2+2x490+30 divided by 100
Answer:
982.3
Step-by-step explanation:
What formula can we use to find the surface area of a rectangular prism?
Answer:
First one
SA = 2lw + 2lh + 2wh
Step-by-step explanation:
The area is this, it is a fact..
A=2(wl+hl+hw)
Answer:
first one
Step-by-step explanation:
SA = 2wl + 2lh + 2hw
How many pieces of stone each of size 20 cm x 30 cm x 10 cm are required to construct a wall of 20 m x 60 cm x 2m?
4000 pieces of stones needed
Explanation:
All measurements should be taken in cm unit wise
For wall:
20 m = 2000 cm60 cm = 60 cm2 m = 200 cmFor each stone:
20 cm30 cm10 cmVolume of the wall:
2000 x 60 x 200 24000000 cm³Volume of each stone:
20 x 30 x 106000 cm³Pieces of stone needed:
24000000/60004000 pieces of stonesAnswer:
=> 4000 pieces
Step-by-step explanation:
First change m into cm
20m -> 2000cm
2m -> 200cm
volume of wall = 2000×200×60
=> 24000000 cm³
volume of each stone = 20×30×10
=> 6000 cm³
stone needed = 24000000/6000
=> 4000 pieces
WILL MARK BRAINLIEST PLS HELP!! Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log (x) + 2 what type of functions are f(x) and g(x) ? Justify your answerWhat key features do f(x) and g(x) have in common ? (Consider domain , range, xintercepts , and y intercepts)
The functions f(x) and g(x) are different functions.
How to explain the function?The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
From the attached graph, we have the following features:
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions are their range
Read more about functions at:
brainly.com/question/24123211
#SPJ1
help?????????? i don't really know how to answer
Answer:
[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]
Step-by-step explanation:
Given:
Total money Marsha gave = 20$
Total money she received in return = 5.03$
Number of pairs of socks she purchased= 3 pairs
To find: Cost of each pair of socks =?
Solution:
Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,
[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]
Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.
Thanks for joining brainly community!
Answer:
$4.99
Step-by-step explanation:
Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;
⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.
⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99Therefore, the cost for each pair of socks $4.99.