Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is [tex]V=\pi r^2h[/tex]. In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]
2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]
3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)
If a=2 and c=4, evaluate (a+2c)/a-2c
What is the surface area of this triangular pyramid?
Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.
there are 3 of those faces : 7.5 x 3 = 22.5 square inches.
the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches
total surface area = 22.5 + 10.75 = 33.25 square inches
a
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. Which equation could be used to determine the volume, in cubic inches,
of the vase?
А
V = 7(5)?(7)
B
V = 70(7)?(5)
C
V = 7(7)?(2.5)
DV = 7(2.5)(7)
ca
hurry up i need this pls
Answer:
a
Step-by-step explanation:
sorry if it's wrong
each row in the table below shows one possible set of angle measurements for this drawing
find the missing angle measurements
Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
What are Angles on a Straight Line?Angles found on a straight line equals 180 degrees.
What area Vertcial Angles?Vertical angles are congruent angles that lie directly opposite each other.
Second Row:
m∠LGK = 45° (given in the diagram)
m∠IGH = 35° (given in the table)
m∠KGJ = m∠IGH (vertical angles)
m∠KGJ = 35°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 35 = 145°
m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)
m∠HGL = 180 - 45 - 35 = 100°
Third Row:
m∠LGK = 45° (given in the diagram)
m∠HGL = 97° (given in the table)
m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)
m∠KGL= 180 - 97 - 45 = 38°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 38 = 142°
m∠IGH = m∠KGL (vertical angles)
m∠IGH = 38°
Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
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Please help with my homework. I will give a brainlist out. Only solve 30 please.
Let's solve
[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]
[tex]\\ \rm\Rrightarrow 9C=165[/tex]
[tex]\\ \rm\Rrightarrow C=165/9[/tex]
[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]
A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?
A=160 m
Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 mHope it helps.
Do comment if you have any query.
- area: 160 m²
What is asked?- Asked to find the area of the rectangular pool.
What are given?- Given with width of the pool is 10 metres and length is 16 metres.
What is/are the operations to be used?- multiplication
What is the number sentence?- 10 * 16
What is the answer?- area: 160 m²
Additional ===========
area of rectangle = Length * WidthThe times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.
The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
[tex]P=1-0.84\\P=0.16[/tex]
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Learn more about the normally distributed data here;
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Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answer:
yes this contains bias.
Step-by-step explanation:
the person who wrote the question included their own opinion which makes the question bias
Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.
What is bias?Bias in statistics, is a term defines "the tendency of measurement process".
According to the question,
The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.
In order to find is this survey is biased. Yes, the survey is biased .
Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.
Hence, survey question is bias.
Learn more about bias here
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If u have 18 gallons of gas an you drove 250 miles how much gas is left
Answer:
Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic
Step-by-step explanation:
What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use
pencil and paper. Sketch examples for as many different types of shapes as you can.
Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?
Select all that apply.
A. Triangle
B. Parallelogram
OC. Rectangle
D. Regular pentagon
Answer:
rectangle
it has four perpendicular sides
each perpendicular is 90degree
Answer: Rectangle and square
Step-by-step explanation: They both have four right angles
Which of the triangles shown are scalene triangles?
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
What is a Scalene Triangle?A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
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Please help for mooolah :(((
Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.
what is 66.6% as a fraction
Answer:
[tex]\frac{333}{500}[/tex]
66% = [tex]\frac{33}{50}[/tex]
In that case, for the tenths place existing as your ones place, you only need to add on one more digit to make the fraction.
Answer:
66.6% as a fraction is 33/50
Step-by-step explanation:
One sample has ss = 60 and a second sample has ss = 48.
if n = 7 for both samples, find each of the sample variances, and calculate the pooled variance. because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances
The pooled variance of the samples estimates the weighted variance of the samples
The pooled variance is 2952
How to calculate the pooled variance?The given parameters are:
Sample 1:n = 7
ss = 60
Sample 2:n = 7
ss = 48
The pooled variance is calculated using:
Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]
So, we have:
Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]
Evaluate the expression
Sp = 2952
Hence, the pooled variance is 2952
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For each diagram below, write and solve an equation for x .
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Find the surface area of a cylinder with a base radius of 2in and a height of 4in use the value 3.14 for n
Answer:
75.36 in²
Step-by-step explanation:
The surface area of a cylinder can be found from the formula ...
A = 2πr(r +h) . . . . . where r is the radius and h is the height
__
Using the given dimensions, we find the area to be ...
A = 2(3.14)(2 in)(2 in + 4 in) = 75.36 in²
The surface area of the cylinder is about 75.36 square inches.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer:
16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.
Therefore 48 * 4 = 192 servings.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,
As we know,16 cups are in a gallon,
1 gallons = 16 cups
3 gallons = 3 × 16 cups
3 gallons = 48 cups
If 1 cup of milk works for 4 servings,
The number of servings that can be made from three gallons will be,
=48 × 4
= 192 servings.
Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
Learn more about the arithmetic operation here:
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A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
If you want to learn more about functions, you can read:
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Solve for z.
X=3y+3z
Answer: Option 2
Step-by-step explanation:
Solve for x
12
(x + 2)/
B
O 14
O 10
12
06
Answer:
opposite sides of ||gram are equal and parallel therefore
12=x+2
12-2=x
10=x
pls mark as brainliest
Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x
A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is
Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!
Answer:
[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]
[tex]=6\sqrt{60} -10\sqrt{80}[/tex]
[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]
[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]
[tex]=12\sqrt{15} -40\sqrt{5}[/tex]
Hope this helps
section 7 test yourself
Do number 5 please. Please bots don’t answer I’m just trying to get help!!!! :( please
Answer:
(a) 40 units
Step-by-step explanation:
32/16=2
20 times 2=40
Answer:
A
Step-by-step explanation:
Since square pyramids A and B are similar, they need to have similar lengths.
Pyramid B's lengths are 2 times larger than that of pyramid A.
Pyramid A: 16 units, 16 units, 20 units.
*2 *2 *2
Pyramid B: 32 units, 32 units, ? units
So, the missing side length has to be 20 *2 = 40 units.
Please mark as brainliest!
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 1 blues?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.
Hope This Helps! :) Please give brainliest if you can!
Help PLEASE
(explanation included please.)
Answer:
x = 12.714
Step-by-step explanation:
Vertical angles sum to 180 degrees
8x-12 + 6x + 14 = 180
solve for x = 12.714
May I get help on these questions, please?
pls help me to answer this
Answers:
Part 1
16. Nominal
17. Nominal
18. Nominal
19. Nominal
20. Nominal
21. Continuous
22. Continuous
23. Continuous
24. Continuous
25. Continuous
Part 2
26. Discrete
27. Continuous
28. Discrete
29. Discrete
30. Ordinal
31. Ordinal
32. Nominal
33. Ordinal
34. Ordinal
35. Nominal
=========================================================
Explanation:
A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.
An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.
A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.
A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.
the greatest common factor of 3x^4-12x^2
Answer:
3x^2
Step-by-step explanation:
3x^4-12x^2
Factoring out 3x^2
3x^2 ( x^2 -4)
We can factor (x^2-4) since it is the difference of squares
3x^2 ( x-2) (x+2)
The greatest common factor is 3x^2
Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².
The key words here are "common" and "greatest".
Here are some common factors:-
3
3x
3x²
x
x²
And the greatest common factor is:-
3x²
[If Necessary]
Factor it out by dividing the terms in the polynomial by the GCF:-
x²
4
Subtract the terms:-
(x²-4)
And put the G.C.F. outside the parentheses:
3x²(x²-4)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
The volume of 1000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops
Answer:
[tex]0.01\ ounce[/tex]
Step-by-step explanation:
Step 1: Determine the volume of 10 drops
[tex]1\ ounce / 1000\ drops[/tex]
[tex]0.001\ ounce/drop[/tex]
[tex]0.001\ ounce/drop * 10\ drops[/tex]
[tex]0.01\ ounce[/tex]
Answer: [tex]0.01\ ounce[/tex]
Answer:
The volume of 10 drops of a liquid is 0.1 fluid ounce.
Step-by-step explanation:
I hope this will help you