find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie
Answer:
Volume of the cone is 120 π cm³Step-by-step explanation:
Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:
[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]
On Substituting the required values, we get:
[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]
Volume of a cone is 120 π cm³Question 4:
Two equations are shown:
Equation 1:
3
4
(x−12)=12
Equation 2:
3
4
y−12=12
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:
Answer:
x = 28
y = 32
Brainliest?
x2 + 4x + 7 is a Monomial
The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have given a polynomial:
x² + 4x + 7
As we know, the monomial has only one term.
The binomial has two terms.
The trinomial has three terms.
As we can see in the given polynomial there are three terms which is x², 4x, and 7.
Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.
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In the figure shown, which is the value of y?
(3x)
(x)⁰
(2y)°
(2y)°
Answer: y = (x/2)°
Step-by-step explanation:
The two angles are because they are opposite angles.
how to find area of trapezoid
The formula is a = (b1*b2)/2 .
Find the distance between the points L(-7, -6) and M(-2, 6).
What is an equation of the line that passes through the points (3,6) and (1,−2)?
Answer:
y = 4x - 6
Step-by-step explanation:
Hi there!
We are given the points (3,6) and (1, -2), and that a line passes through these 2 points
We want to find the equation of said line
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative Slope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointThe most common way is slope-intercept form, so let's write the equation of the line this way
First, we need to find the slope
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] & [tex](x_2, y_2)[/tex] are points
Before we calculate, let's label the values of the points.
[tex]x_1=3\\y_1=6\\x_2=1\\y_2=-2[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2-6}{1-3}[/tex]
Subtract
m=[tex]\frac{-8}{-2}[/tex]
Divide
m= 4
The slope of the line is 4
Substitute 4 as m in y=mx+b:
y = 4x + b
Now to find b
Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.
Taking (3,6) for example:
Substitute 3 as x and 6 as y.
6 = 4(3) + b
Multiply
6 = 12 + b
Subtract 12 from both sides
-6 = b
Substitute -6 as b into the equation
y = 4x - 6
Hope this helps!
Topic: finding the equation of the line
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Sales tax in Reagan County is 7.5% on all purchases. Calculate the sales tax on the following purchase totals (round answers to the nearest cent):
(a) $25.55 (b) $155.75 (c) $256.18
Answer:
(a) $1.92
(b) $11.68
(c) $19.21
Step-by-step explanation:
The tax is the product of the tax rate (7.5%) and the taxed amount.
__
(a)0.075 × $25.55 ≈ $1.92
(b)0.075 × $155.75 ≈ $11.68
(c)0.075 × $256.18 ≈ $19.21
_____
It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.
Which of the following is both a natural and manmade contributor to the greenhouse effect and warming of our planet?
A. Nuclear radiation
B. Atmospheric radiation
C. Nitrogen footprint
D. Carbon cycle
Find the measure of angle BAC.
132°
Answer:
Step-by-step explanation:
Directions
Draw a line from B to C. A can be anywhere above 132 degrees and it would have the same value as long as its endpoints are B and C
The actual value is 1/2 the central angle which is given as 132 degrees.
Givens
<BOC = 132 degrees.
<BOC is the central angle.
Solution
<BAC = 1/2 <BOC
<BAC = 1/2 132 degrees
<BAC = 66 degrees.
Answer
<BAC = 66 degrees
Find the slope of the given line. See attached photo
what is the area of the figure 27 1/2yd 17 1/5yd in yd
Answer:
473
Step-by-step explanation:
→ Write the formula
Base × Height
→ Substitute in the numbers
[tex]27\frac{1}{2}*17\frac{1}{5}[/tex]
→ Convert to improper fractions
[tex]\frac{55}{2} *\frac{86}{5}[/tex]
→ Simplify
473
On a map, 1 inch equals 5 miles. Two cities are 9 inches apart on the map. What is the actual distance between the cities? Question content area bottom Part 1 The actual distance between the cities is entered in your response here miles. Need help fast
Answer:
45 mile
Step-by-step explanation:
One inch is equivalent to 5 miles. Given this comparison in regards to scale, 9 inches would simply be 9 times that. In basic terms, 9 times or inches multiplied by each 5 mile increment would be stated as 9 inches x 5 miles, resulting in a 45 mile distance between the two cities.
8. (09.04 LC)
A circle is centered at (-3, 2) and has a radius of 2. Which of the following is the equation for this circle? (6 points)
O (x + 3)2 + (y - 2)2 = 2
O (x - 3)2 + (y + 2)2 = 4
O (x + 3)2 + (y - 2)2 = 4
O (x - 3)2 + (y + 2)2 = 2
Answer:
(x + 3)² + (y -2)² = 4
Explanation:
Circle Formula: (x -h)² + (y -k)² = r²
"r" is radius, "h" is x coordinates of center, "k" is y coordinate of center.
Here given:
h = -3, k = 2, r = 2Insert values:
(x -(-3))² + (y -2)² = 2²
(x + 3)² + (y -2)² = 4
Katelyn would like to have some bracelets made for her friends. A bracelet maker charges a flat rate of $4, plus $0.75 per bracelet. Katelyn has saved $29 to for the bracelets.
Please refer to the picture!!
Answer:
b=35 because 4+29=35 and that my statement for this answer so glad with the rest
Angelica places an 8-foot ladder against a wall. The ladder is placed so that the angle of elevation is 70°. How far up the wall, in feet, does the ladder reach? Round to the nearest hundredth.
The height of the ladder far up the wall to the nearest hundredth is 7.52 foot.
A right angle triangle is formed.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
The length of the ladder is the hypotenuse side of the triangle formed.
Therefore,
sin 70 = opposite / 8
cross multiply
opposite = 8 sin 70
opposite side = 8 × 0.93969262078
opposite side = 7.51754096629
opposite side = 7.52
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A cheetah runs at a speed of 58 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
t = 58 + d
d = 58 + t
t = 58d
Answer:
I dont see a correct answer but
D= 58t
Isabel used integers to record her costs and earnings from face painting at a fair. she spent $25 on face-painting supplies. She earned $144 by painting faces.
How does Isabel record her costs and earnings?
Please help me ASAP
Answer:
-25 on painting supplies, +144 painting faces, +119 net gain
Step-by-step explanation:
spent = negative
earned = positive
net gain = earned - spent (sometimes it can be negative is you spend more than you make)
How many terms are in this expression?
9x3+1+z
In which of the following do you expect the correlation coefficient to be negative?
Please help!!
From the four graphs presented, it is expected the only one with a negative correlation coefficient is the third graph or graph c.
What is a negative correlation?This occurs when the two variables analyzed go in opposite direction, which means one increases and the other decreases.
How is this represented in a graph?In a graph, a negative correlation coefficient is related to a negative slope.
This negative slope can be seen in the third graph or graph C.
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A circle has an area of 50.24 in.². Daisy solves
the equation as shown below to find the radius
of the circle. What is the diameter of the circle?
1st Step:
50.24-314rr 2nd Step: 16 = rr
Four times
itself is 16!
3.14
3.14
r = 4
A
B
4 in.
8 in.
16 in.
C
Answer:
8in
Step-by-step explanation:
Using the formulas
[tex]area = 2\pi \: r {}^{2} [/tex]
d= 2r
Solving for d
d= 2r
[tex]d = 2 \sqrt \ \frac{a}{\pi} = 2. \sqrt{ \frac{50.24}{\pi} } = 7.99797[/tex]
What is 721.56088 rounded to the nearest thousandth?
Answer:
Answer is 721.561 answer thanks
Pa answer po thank you
Answer:
hope it helps you
Step-by-step explanation:
To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.
please answer this question
As it is given :
Present age of mom : Present age of son = 6 : 1
Therefore let :
Mother's age be 6xSon's age be xPart two :Ages after 10 year :
Mom's age = 6x + 10Son's age = x + 10Part three :The ages after 10 years are given in rational of 8 : 3.
Which means :
Mom's age after 10 years : Son's age after 10 years = 8 :3.
Now :
[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]
[tex] \\ \\ [/tex]
So :
[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]
[tex] \\ \\[/tex]
[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]
[tex] \\ \\ [/tex]
[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]
[tex] \\ \\ [/tex]
[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]
[tex] \\ \\ [/tex]
[tex] \small\bf \dashrightarrow x = \pink 5[/tex]
[tex] \\ [/tex]
Part four :We know :
[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]
[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]
[tex] \\ \\ [/tex]
[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]
[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]
[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]
━━━━━━❃━━━━━━And all we are done ! ㋛
~[tex]\pmb{\cal W\frak{indy}M\frak{int}}[/tex]༄Talking Ben or Talking Tom
Answer:
talking tom
Step-by-step explanation:
i like this game. i used to play this game
Answer:
DEFINANTLY TALKING TOM HE IS SOOOO MUCH MORE FUN
Step-by-step explanation:
Write a slope-intercept equation for a line that passes through (-3,6.7) (0,6.7)
Answer:
y-6.7=0* (x+3)
Step-by-step explanation:
Help me again please!
A. The word mean is the same as saying average. To find the average/mean add all the numbers together and then divide by the amount of numbers. For example, if your numbers were 2, 6, and 7. You would do 2+6+7=15. Then 15 divided by 3 is 5. The mean of those numbers is 5.
B. The median is the middle number. Put the numbers in a list from least to greatest and then find the one in the middle. For example, if your numbers were 1, 2, 3, 4, 5, 6, the median would be 3.
C. The mode is the most frequent number. Count how many of each number appears in the list, the one with the most is the mode. For example, if your numbers were 1, 1, 3, 8, 2, 1, the number 1 would be the mode because it appears the most frequently.
D. The range is the smallest number and the largest number. If your numbers were 2, 12, 46, and 9, the range would be 2-46 or 2 to 46.
I hope this helps you, let me know if you have any questions or would like another example! :)
Ok Saturday a local hamburger shop sold a combined total of 234 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday
Answer:
78 HAMBURGERS!!!
Step-by-step explanation:
LET H BE THE NUMBER OF HAMBURGERS HOLD!!!
2H IS THE NUMBER OF CHEESEBURGERS BECAUSE THERE WERE 2 TIMES AS MANY CHEESEBURGERS SOLD AS HAMBURGERS!!!
H+2H=234 | THE TOTAL NUMBER OF CHEESEBURGER AND HAMBURGER SOLD!!!
3H=234 | ADD LIKE TERMS!!
DIVIDE BOTH SIDES BY 3 | ISOLATE THE VARIABLE!!!
H=78
THAT IS YOUR ANSWER!!!
- Khan Academy Advance!!!
Answer: 78 hamburgers
Step-by-step explanation:
Let x be the number of hamburgers sold. We will write an equation for the problem and solve.
2x + x = 234
3x = 234
x = 78
78 hamburgers were sold on Saturday.
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According to the line plot, what is the total amount of time the students spent studying?
3 1/2 hours
10 hours
4 1/4 hours
5 1/4 hours
The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.
How to Find Total Amount in a Line Plot?Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.
Total amount of time is:
2(1/4) + 5(1/2) + 3(3/4)
= 1/2 + 5/2 + 9/4
= (2 + 10 + 9)/4
= 21/4
= 5 ¼ hours.
Total time spent by students is: D. 5 ¼ hours.
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18 positive integers and 13 negative integers are multiplied.
Using multiplication rules, it is found that the result of the multiplication will be a negative number.
What are multiplication rules?When two numbers of the same signal are multiplied, the result is positive.Hence, when an even number of negative numbers are multiplied, the result is positive. If an odd number is multiplied, the result is negative.Hence, in this problem we have that:
The result of the multiplication of the 13 negative integers is negative.The result of the multiplication of the 18 positive integers is positive.The multiplication of both results is the multiplication of a negative by a positive, hence it is negative.More can be learned about multiplication rules at https://brainly.com/question/4158962
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