Answer:
h=8cm
Step-by-step explanation:
V= πr^2h/3
Where
V=volume of a cone
π=pi= 3.14
r= radius=4cm
h= height = ?
V= πr^2h/3
134= 3.14*4*4*h/3
134= 50.24h/3
Divide both sides by 50.24
h/3= 134 / 50.24
h/3= 2.67
Cross product
h= 2.67*3
h= 8.01
Approximately h= 8cm
The best estimate of the cone's height is 8cm
how many times does 1/4 go into 9/16
Answer as a fraction = 9/4
Answer in decimal form = 2.25
================================================
Explanation:
1/4 = 4/16 after multiplying top and bottom by 4
We have some number x such that
(4/16)x = 9/16
we can multiply both sides by 16 to clear out the fractions, getting 4x = 9
Then we divide both sides by 4 to get x = 9/4 = 2.25
. The Barnaby Corporation issued 2,700,000 shares of stock at its beginning to shareholders.
How many shares must a shareowner own to have a majority of the shares?
Answer:
1,350,001 shares
Step-by-step explanation:
Barnaby corporation issued 2,700,00 shares of stock to its respective shareholders
A shareholder is required to own more than half of the share of the stock of a corporation inorder to have most of it.
This implies that the shareholder must have 50% + 1 inorder to attain the majority shares
Therefore, the number of shares that must by owned by a shareholder to have majority of the shares can be calculated as follows
= 50/100 × 2,700,000
= 0.5×2,700,000
= 1,350,000+1
= 1,350,001 shares
A room with poor air quality has a particle concentration of 80 units. A fan removes 50% of the remaining particles each hour. What is the particle concentration, in these same units, in the room after 2 hours?
Answer:
20 units
Step-by-step explanation:
Initial particle concentration = 80 units
Particles removed each hour = 50% of the remaining particles
To find:
Particle concentration after 2 hours = ?
Solution:
Particles removed in 1 hour = 50% of remaining particles
i.e. Particles removed in 1 hour = 50% of initial concentration
Particles removed in 1 hour = 50% of 80 = 40
Particles removed in next 1 hour = 50% of remaining particles
i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour
Particles removed in next 1 hour = 50% of 40 = 20
Total particles concentration removed in 2 hours = 40 + 20 = 60 units
Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours
= 80 - 60 = 20 units
One angle of a parallelogram measures 45°. What are the measures of the other three angles
in the parallelogram?
Answer: 135, 45, and 135 are the three other angles
==================================================
Explanation:
For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.
Factor the trinomial 5x^2-x-4
Answer:
(5x+4)(x-1)Step-by-step explanation:
[tex]5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)[/tex]
Simplify (please show work if possible) HELP!!
Answer:
See below.
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{125a^2b^2}[/tex]
This is the same as:
[tex]=\sqrt{(5ab)^2\cdot5}[/tex]
Expand:
[tex]=\sqrt{(5ab)^2}\cdot\sqrt5[/tex]
The left term cancels:
[tex]=5|ab|\sqrt5[/tex]
Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)
Answer:
there is google!
Step-by-step explanation:
The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s
Answer:
B. -12.4 + 20.6s.
Step-by-step explanation:
Perimeter = 2*length + 2 * width
= 2(3.1s - 1.6) + 2(7.2s - 4.6)
= 6.2s + 14.4s - 3.2 - 9.2
= 20.6s - 12.4
= -12.4 + 20.6s.
[tex]\boxed{-12+20.6s}[/tex]
To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.
2(3.1s - 1.6) + 2(7.2s - 4.6)
This is equal to:
6.2s + 14.4s - 3.2 - 9.2
Simplified, this is equal to:
20.6s - 12.4
(We have to switch it around, but this answer is equal to option b.)
-12.4 + 20.6s
Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)
lan buys a two-quart bottle of juice for $6.40. What is the unit rate of the cost of the
juice per fluid ounce?
1 gallon 4 quarts
1 quart 2 pints
1 pint
1 cup = 8 fluid ounces
2 cups
Before you try that problem, answer the question below.
How
many fluid ounces of juice did Ian buy?
Suppose you walk down a school hallway at a rate of 5 ft/s, and you reach your destination in 20 seconds. How do you write a function that models this situation, and how do you determine the domain?
Answer:
Step-by-step explanation:
Let's write a equation.
5 ft = 20 seconds
(five feet is reachable in 20 seconds)
Divide both sides by 5.
5/5=1
20/5=4
1 ft = 4 seconds
Let's say the destination is d and f is foot.
d = 4f
For a sale, a store decreases its prices on all items by 25%. An item that costs $120 before the sale now costs $120 - 0,25($120). Use the distributive property to write an equivalent expression for the items cost now
Answer:
[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$120 - 0.25(\$120)[/tex]
Required
Solve using distributive property
[tex]Cost = \$120 - 0.25(\$120)[/tex]
[tex]\$120[/tex] can be rewritten as [tex]1(\$120)[/tex]
So:
[tex]Cost = 1(\$120) - 0.25(\$120)[/tex]
Factorize:
[tex]Cost = \$120(1 - 0.25)[/tex]
Now, we can apply distributive property on the expression;
[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]
Hence, the above is an equivalent expression.
Solving further, we have
[tex]Cost = \$120 - \$30[/tex]
[tex]Cost = \$90[/tex]
the mean of monthly salaries of 15 worker of a company is 2930 .A new worker with monthly salary 3138 join the company.Find the new mean monthly salary of 16 workers
=======================================================
Explanation:
S = sum of the salaries of the first 15 employees
S/15 = mean of the 15 salaries
S/15 = 2930
S = 15*2930
S = 43950
The 15 workers salaries add to 43950.
If we add on a new 16th salary of 3138, then the sum bumps up to
S+3138 = 43950+3138 = 47088
This is the sum of the 16 workers salaries. Divide this over 16 to get the new average
47088/16 = 2943
The new mean is 2943
It is larger than the old mean because the 16th salary is larger than the mean. Effectively this new salary pulls on the mean to make it larger. With very distant outliers, the mean is pulled a lot which often causes problems. So this is why the median is a better measure of center in those situations. Either that measure of center, or using a trimmed mean works as well.
simplify: (4x)(-x^2)(5x^3)
Answer:
-20 x^6
Step-by-step explanation:
(4x)(-x^2)(5x^3)
Multiply the numbers
4*-1 *5 = -20
Add the exponents
x^1 * x^2 * x^3
x^(1+2+3)
x^6
Multiply back together
-20 x^6
Answer:
The answer is
[tex] - 20 {x}^{6} [/tex]Step-by-step explanation:
(4x )( - x²)(5x³)
Expand the terms
That's
-4x³( 5x³)
Next multiply the numbers
That's
- 20( x³)(x³)
Using the rules of indices multiply the x's in the expression
That's
[tex] {a}^{x} \times {a}^{x} = {a}^{y + y} [/tex]So we have
[tex] {x}^{3} \times {x}^{3} = {x}^{3 + 3} = {x}^{6} [/tex]We have the final answer as
[tex] - 20 {x}^{6} [/tex]Hope this helps you
What is another name for the set of natural numbers.
Another name for the set of natural numbers are counting numbers.
A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed
A) determine the angular velocity, w, in radians per second
B) how far does the the wheel in one minute
Answer:
8π radians/second527.8 metersStep-by-step explanation:
A) The angular velocity is the ratio of angular distance to time:
ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)
ω = 8π radians/second
__
B) The arc length is ...
s = rθ = rωt
s = (35 cm)(8π rad/s)(60 s) = 16,800π cm
s ≈ 52779 cm = 527.79 m
The wheel travels about 527.8 meters in one minute.
cos60° = x divided by 16
x = 8
Step-by-step explanation:cos60° = x/16
1/2 = x/16
2x = 16
x = 16 : 2
x = 8
Answer:
[tex]\Huge \boxed{x=8}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle cos(60\° ) = \frac{x}{16}[/tex]
Multiplying both sides by 16.
[tex]\sf \displaystyle 16 \cdot cos(60\° )= \frac{x}{16} \cdot 16[/tex]
Simplifying the equation.
[tex]\sf \displaystyle 16 \cdot \frac{1}{2} = x[/tex]
[tex]\sf 8=x[/tex]
Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as A and B
So far, segment CD is the same length as AB. So we can say AB = CD.
Let's keep going
Step 6) Place the nonpencil part of the compass at point D and draw another arc to intersect line CD. Make sure you do not intersect at point C, but rather the point on the other side of D. Call this point E. Step 7) Use a marker or pen to highlight everything from C to E. So you'll highlight segment CE. Erase everything else.Segment CE is composed of CD and DE, both of which are equal to AB. In other words, AB = CD = DE. Because CD = DE, and the two segments add up to CE, this must mean that CE is twice as long as CD. Therefore, CE is twice as long as AB.
See the diagram below for a visual summary.
what is 16-(-)24+4 and does it equal 44
Answer:
yes, it equals 44
Step-by-step explanation:
16-(-)24+4=44
Answer:
it is 44
Step-by-step explanation:
2 minus's right by each other turn into a plus sign.
What is the product of 4a and (-2b- 6a -4)?
Answer:
-8ab -24asquared-16a
Thats gonna get u ur answer
Step-by-step explanation:
Answer:
-8ab -24a^2 -16a
simplfied form
-8a(b+3a+4)
Step-by-step explanation:
what is the slope of the line?
Answer:
4/3
Step-by-step explanation:
Slope is rise/run so find two points and find the rise/run. (0,-1) and (4,2) so the slope would be 4/3
solve the radical exponents and show your work!
please help me
Answer:
x = 126
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex](x-1)^{\frac{2}{3} }[/tex] - 25 = 0 ( add 25 to both sides )
[tex](x-1)^{\frac{2}{3} }[/tex] = 25 ( raise each side to the power of 3 )
(x - 1)² = 25³ = 15625 ( take the square root of both sides )
x - 1 = [tex]\sqrt{15625}[/tex] = 125 ( add 1 to both sides )
x = 126
Answer:
126, -124
Step-by-step explanation:
The steps
(x-1)²/³ - 25 = 0(x-1)²/³ = 25(x-1)² = 25³(x-1)² = (5³)²x- 1 = ± 125x = 1 ± 125x₁ = 126x₂ = - 124Use the following function rule to find f(-3.29).
f(x) = x + 2.58
Write your answer as a decimal or whole number.
f(-3.29) =
What’s 0.05 divided 8.5
Answer:
0.00588235294
Step-by-step explanation:
0.00588235294
Answer:
0.00588235294
Step-by-step explanation:
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
0.00588235294
ASAP The table shows the number of pounds of green beans that Irma and Jeremiah each picked from their garden. How many total pounds of green beans did they pick?
Irma- 17 and Jeremiah - 29
Given: Line segment PR/ Line segment TR is equal to Line segment QR/ Line segment SR.
Prove: Line segment PQ is parallel to Line segment ST.
Answer:
i think it will be helpful for you
1. Select ALL of the sets to which the number belongs. * 5 6 Natural Whole Integer Rational Irrational
Answer:
5/6 is:
Rational
Step-by-step explanation:
Natural-All positive integers (5/6 does not apply)
Whole-All positive integers and zero (5/6 does not apply)
Integer- All positive and negative whole numbers and zero (5/6 does not apply)
Rational-All integers, fractions, and non-repeating decimals (5/6 applies)
Irrational-A real numbers that are NOT rational (5/6 does not apply)
1.1.17 QUICK I NEED HELP WILL MARK BRAINLIEST Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. Select all sets in which the number -5/7 is an element. A. integers B. natural numbers C. irrational numbers D. whole numbers E. real numbers F. rational numbers Click to select your answer(s) and then click Check Answer.
Answer:
E. real numbers F. rational numbers
Step-by-step explanation:
-5/7
A. integers no a whole number that is positive or negative, non fractional
B. natural numbers no positive whole numbers, non fractional
C. irrational numbers no non repeating, non terminating decimals, cannot be written as fractions
D. whole numbers no - entire parts non fractional
E. real numbers yes- contains all rational and irrational numbers
F. rational numbers yes- numbers that can be written as fractions
Answer:
E. real numbers
F. rational numbers
(see below)
Step-by-step explanation:
A. integers = number that can be written without a fractional component
NO.
B. natural numbers = a whole, non-negative number.
NO.
C. irrational numbers = a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers.
NO.
D. whole numbers = There is no fractional or decimal part. And no negatives.
NO.
E. real numbers are the numbers which include both rational and irrational numbers. Rational numbers such as integers and fractions.
YES -5/7
F. rational numbers = is a number that can be expressed as the quotient or fraction -5/7 of two integers
YES -5/7
Is (x-4)
equivalent to (x – 4)2 ?
Answer:
No
Step-by-step explanation:
Is [tex](x-4)[/tex] equivalent to [tex](x-4)2[/tex] ?
So let's solve [tex](x-4)[/tex] .
Since there are no like terms, the answer would be
[tex]x-4[/tex]
Let's move on to [tex](x-4)2[/tex]
[tex](x+-4)+(2)[/tex]
Now let's separate.
[tex](x)(2)+(-4)(2)[/tex]
This equals
[tex]2x-8[/tex]
Both answer were not the same so therefore they are not equivalent.
Hope this Helps!
A store is offering a 25% discount on all items.Also, employees get a 10% employee discount. If you are an employee which discount would you want to be applied first to save the most money?
Jones planted s flowers. He planted fewer flowers than Kerry Kerry planted 50 flowers. Write
the expression that shows how many flowers Jones planted.
If there is a picture could you please add it to your question?
It will help me find the correct anwser faster for you!
please any tricks for solving bearings in maths
Answer:
A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given). The bearing of A from B is 205 degrees.