The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
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Solve for a
1/12 a +21 = 25
Hope This Helped!
Step-by-step explanation:
First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48
We are left with A being equal to 48.
[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]
what is .9 repeating as a fraction
There is no answer to this because:
Any digit repeating like that would usually be ?/9
Example: 0.1 repeating = 1/9
0.2 repeating = 2/9
0.8 repeating = 8/9
But 0.9 repeating? There should not be a fraction for that.
If you want to round up to 1, you can.
Can some help me i don't understand how to do this math!!
Answer:
Step-by-step explanation:
[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]
? = 2x -x = x
A sign along the highway says 6% grade for the next 7 mi. How many feet of vertical change there are along those 7 miles. (5280 feet
Answer:
Step-by-step explanation:
The length of the road is 7 * 5280 = 36960 feet
The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.
6/100 * 36960 = 221760/100 = 2217.6 is the rise.
Work out length AC.
10 cm
Not drawn
accurately
120
7 cm
Step-by-step explanation:
Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.
How here we get 2 x 22 x 10
And how we multiply the formula of pi with any number
Answer:
The formula of pi is approximately 3.14 2×3.14
From her eye, which stands 1.74 meters above the ground, Sophia measures the angle of elevation to the top of a prominent skyscraper to be 44∘If she is standing at a horizontal distance of 369 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
The height of the skyscraper for the considered case is evaluated being of 358 meters approx.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.
How to use right triangles to find the height of the specified sky scrapper?Remember that we assume that building is vertical to the ground. This means, there is 90° formation.
For this case, referring to the figure attached below, we get:
The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters
Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:
[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]
(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )
Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.
Learn more about tangent ratio here:
https://brainly.com/question/19594654
Alexis and her siblings buy their mom a bottle of her favorite perfume, Seabreeze, as a birthday gift. The bottle cost $50.84 and contains 4 ounces of perfume how much does the perfume cost per ounce
Answer: 12.71
Step-by-step explanation: 50.84 divided by 4 = 12.71
What is 1.3742 rounded to the nearest tenth?
Answer:
1.4 that is the true answer
Step-by-step explanation:
go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is
Someone please help me with this it’s an emergency
Answer:
The answers are given in the photo
Fill in the missing value for Y,
then click DONE.
y = 2x + 3
Answer:
x = 2 so y = 7
x = 4 so y = 11
Step-by-step explanation:
y = 2x + 3
x = 0 so y = 2(0) + 3 | y = 3
x = 2 so y = 2(2) + 3 | y = 7
x = 4 so y = 2(4) + 3 | y = 11
x = 6 so y = 2(6) + 3 | y = 15
Which of the following is a square root of -18 ?
Answer:
It should be [tex]3\sqrt{2} i[/tex]
Step-by-step explanation:
Answer:
4.242.....
Step-by-step explanation:
Hope this helped!
Rsound answer to two decimal places
80.75757575757575757575
Answer:
[tex]80. \bar{75}[/tex]
Pls help ion know how to this jaunt
Answer: a very straight forward b 2 4 and 6 c 9
Step-by-step explanation:
Find the area between f(x) = 3x and f(x) = x2 on the interval (0,3]
Answer:
[tex]A=4.5[/tex]
Step-by-step explanation:
The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.
Therefore:
[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]
[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]
[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]
[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]
[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]
[tex]A=\frac{9}{2}[/tex]
[tex]A=4.5[/tex]
So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.
someone please help me
Answer:
m = 5
Step-by-step explanation:
Since the triangles are similar in the way shown, then
6/10 = 3/m
6m = 10 × 3
m = 5
Complete the sentence below.
If 8^x= 8^3, then x =
[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]
Darius and his friends bought 3 pizzas. Each pizza cost $9.89. They paid for the pizzas with 20 dollar bills.
How much change did they get?
Enter your answer in the box.
$|__|
Answer:
10.33
Step-by-step explanation:
9.89x3$29.67
40-29.67=$10.33
4x+y=10 ( ?,-6)
Find the missing value. Show all work.
Answer:
(4 , -6) x = 4.
Step-by-step explanation:
Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.
so now we know that ( ? , -6) has an X value which is unknown.
inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)
now plot the y value into the equation
4X + Y = 10 , Y = -6
4X + (-6) = 10
4X + - 6 = 10 ...... we know that A + - B = A - B
4X - 6 = 10
now take -6 to the right side
when -6 is taken to the right side, it changes to +6
and so ..
4X = 10 + 6
4X = 16
now divide both sides by 4 to find X
4X / 4 = 16 / 4
4 the coefficient of X which is 4 cancels with out denominator which is now 4
X = 16 / 4
16 ÷ 4 = 4.
can someone plz help me I need the answer asap
Answer:
no. c is the correct answer
What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?
Answer:
56xy23
Step-by-step explanation:
56 x 12 bhi 56 xy23
3.75
Word form
please help
Answer:
three and seventy-five hundredths or three point seven five
Step-by-step explanation:
The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms
Answer:
20
Step-by-step explanation:
first term + second term = 4
tenth term = 19
fifth term + sixth term = ?
Since this is an arithmetic sequence:
first term = a
second term = a+d
tenth term = a+9d
Then we have
[tex]2a+d=4 \\ a+9d=19[/tex]
Upon solving the system of equation we have:
[tex]a=1 \\ d=2[/tex]
Since:
fifth term = a+4d
sixth term = a+5d
The final answer is:
fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]
please help i need this rn!! ( please tell me how much boxes I color)
How do you write an equation of a line given y-intercept -8 and slope 3/4
Answer:
[tex]y = \frac{3}{4} x-8[/tex]
Step-by-step explanation:
You can us the equation y = m x + c to answer this question.
In ,
y = m x + c
m = slope
c = y - intercept
So, they have already given in the question that,
m = 3/4
c = (-8)
Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.
y = m x + c
y = 3/4x - 8
Hope this helps you.
Let me know if you have any other questions :-)
Kelsey went to the donut shop before work. The ratio of chocolate donuts to sprinkled donuts that she bought is 3 to 4. If Kelsey bought a total of 21 donuts, how many of the donuts were sprinkled
Answer:
she'd have 16 sprinkled donuts
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
Answer:
Option A, - 6
Step-by-step explanation:
The zero of a function is the value on the x-axis when y is 0
Answer:
the answer is -9
Step-by-step explanation:
the answer is -9 becaise
simplify √20 x √5
10
4√5
√10
If there are 18 boys and 54 gurls in a room,fill out a of the possible ratios of boys to girls that could be made
Answer:
2:6 and 1:3.
Step-by-step explanation:
18 divided by 9 = 2
54 divided by 9 = 6
18 divided by 18 = 1
54 divided by 18 = 3.
Hope that helps. x
Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .
Step - by - step explanation :
18:54 divided by 6/6 = 3:9
3:9 divided by 3/3 = 1:3 <-- simplest form :D
The water level in a tank measures 15 inches and is decreasing 0.5 inches every
minute.
How many minutes, x, will it take for the water level to measure 9 inches deep?
Answer:
The answer is 12 minutes
Step-by-step explanation:
This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.
6 / 0.5 inches per minute = 12 minutes
The tank would take time of 12 minutes for the water level to measure 9 inches deep.
What is the two-step problem?A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.
Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).
Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.
We must calculate the minute when the water level reaches 9 inches deep.
The difference in inches is 6 inches.
15 inches - 6 inches = 9 inches
Calculating for minutes,
⇒ 6 / 0.5
⇒ 12 minute
Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.
To learn more about the two-step problem click here :
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