Radius of cone ( r ) = 3 cm,
Curved surface area of a cone= 47.1 cm²
Curved surface area of a cone= πrl
47.1 = πrl
47.1 = 3.14 × 3 × l
l = 47.1 / (3.14 × 3)
l = 15.7 / 3.14= 1570/314= 5 cm
slant height (l) = 5 cm
Height of a cone (h) = √(l²) - (r²)
h = √ 5² -3²
h = √ 25 - 9 = √ 16 = 4 cm
h = 4 cm
Volume of cone= ⅓(πr²h)
= ⅓(3.14 × 3 × 3 × 4)
= 3.14 × 12= 37.68 cm³
Hence, the volume of a cone is 37.68 cm³.
divide 450 in the ratio 2 is to 3 is to 5
Answer:
90 : 135 : 225
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 + 5 = 10 parts
Divide the number by 10 to find the value of one part of the ratio
450 ÷ 10 = 45 ← value of 1 part of the ratio, then
2 parts = 2 × 45 = 90
3 parts = 3 × 45 = 135
5 parts = 5 × 45 = 225
Then
450 in the ratio 2 : 3 : 5 is 90 : 135 : 225
Simplify the expression. -6 1/3-1/2(1/2+x)
Answer:
-79/12 - x/2
Step-by-step explanation:
Simplify ⏬
Use distributive property to simplify the following expression then combine like
terms: -5(a-6)+6a. Then identify the coefficient for the simplified expression.
Your answer
Answer:
Step-by-step explanation:
distribute:
-5a+30+6a
simplify:
a+30
not sure what u mean by coefficient, the coefficient of a is 1.
Answer: a + 30
Step-by-step explanation:
Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a
By combining like terms, -5a+6a = a
Therefore, this expression = a + 30
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Help please please please! WILL MARK BRAINLIST
Answer: I think it is A or B
Step-by-step explanation:
The length of the minute hand on a clock is 10in what's the diameter
Answer:
20
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynomial. Use standard polynomial format. x(2x - 3) + (x - 3)(x - 4)
Answer:
We have to find the product of ,
(a+3)(a-2)
We will use the identity
(x+a)(x+b)=x² + (a+b)x+ab
So, (a+3)(a-2)=a²+(3-2)a+ (3)×(-2)
= a²+1 × a -6
= a²+a-6
Or , you can use the following method, to find the product.
a×(a-2)+3×(a-2)
=a² -2 a + 3 a-3×2
=a²+a-6
Is 1 + 4(3x – 10) – 12x equivalent to -9?
Answer:
No.
Step-by-step explanation:
Remove parenthesis:
1+12x-40-12x
Combine like terms:
-39+0x = -39. -39 is NOT equal to -9.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Yvonne put $4,000 in a savings account. At the end of 3 years, the account had earned $960 in simple interest. a. How much does she have in her account at the end of 3 years?b. At what annual simple interest rate did the account grow? C. How many more dollars would she have in her account if the interest rate were 1% greater?
Solution :
The amount invested by Yvonne = $ 4,000
Time of investment = 3 years
The simple interest earned by Yvonne in 3 years = $ 960
a). Therefore, the amount Yvonne earned by the end of three years is
= principal + interest earned
= 4,000 + 960
= $ 4,960
b). The formula for simple interest(S.I.) is given by :
[tex]$S.I. =\frac{P.T.R}{100}$[/tex]
or [tex]$R = \frac{SI \times 100}{P.T}$[/tex]
[tex]$ = \frac{960 \times 100}{4000 \times 3}$[/tex]
= 8%
c). Now if the interest rate is 1% greater, i.e. R = (8+1) = 9%
∴ [tex]$SI =\frac{P.T.R}{100}$[/tex]
[tex]$SI =\frac{4000 \times 3 \times 9}{100}$[/tex]
SI = $1,080
Therefore, the amount at the end of 3 years with 9% rate of interest will be
= 4000 + 1080
= $ 5080
Thus, Yvonne will have 5080 - 4960 = $ 120 money more in her account if the rate of interest was 1% greater.
will give brainliest at the right answer
Answer:
1.) 40.0 2.) 75.00 3.) 140.00 4.) 200.00 5.) 500.00 6.) 1300.00 7.) 70.0000
8.) 10.00 9.) 245.00 10.) 900.00
The cost of 5 cans of dog food is $4.35. At this price, how much does 24 cans of dog food cost?
Answer:
$20.88
Step-by-step explanation:
Answer:
$20.88
Step-by-step explanation:
4.35 / 5 = 0.87
0.87 x 24 = 20.88
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. Sam found a guitar that costs $410. After how many weeks will Sam have saved enough money to buy the guitar?
Answer:
12 weeks
Step-by-step explanation:
30 x 12 = 360
which equals 12 weeks in this case and 360 + 50 equals 410 the 50 came from the 50 he already had
I hope this helps!!
A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
Find the area. Simplify your answer.
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
Solve for x.
x =
thank you in advance!
Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
determine the value of the?
25x +30=?(5x+6)
Answer:
It began after the stock market crash of October 1929, which sent Wall Street into a panic and wiped out millions of investors. Over the next several years, consumer spending and investment dropped, causing steep declines in industrial output and employment as failing companies laid off workers.
Find the number of terms and the degree of this polynomial.
Answer:
Number of terms = 3
Degree = 6
Step-by-step explanation:
A polynomial is a mathematical expression that gives the detailed combination of variables with their coefficients, their positive exponential, and other variables using the operations of subtraction, addition, and multiplication
The number of terms in a polynomial is the number of different powers of added or subtracted in the expression
Therefore, the number of terms in the expression -3·s⁶ + 2·s⁴ + 3·s³ is 3 terms
Number of terms = 3
The degree of a polynomial is given by the highest power of the variables in the polynomial. Therefore, the degree of the given polynomial is 6
Degree = 6
Suppose that a desk and a chair together weigh at most 55 pounds. The weight of the chair is 17 pounds. Which inequality correctly describes these conditions for the weigh of the desk, d?
Answer:
The answer will be C
Step-by-step explanation:
Select whether each equation has no solution, one solution, or infinitely many solutions.( I need help)
Answer:
1. one solution
2. one solution
3. no solution
Step-by-step explanation:
1. x = 0
2. x = -¾
3. 0
Answer:
1.one solution
2.one solution
3. no solution
4. infinitly solution
Step-by-step explanation:
????????????????????????????
Answer:
Pretty sure it's c)
Help me please, I’m a freshman taking a tenth grade course. I’m lost :/
Answer:
what is the question? Please ask a question.
Can somebody pls help me with problems 16 and 17? I’m in a rush...thx
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet?
Answer:
152
Step-by-step explanation:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
I HOPE MY ANSWER HELPS U;)Need help
What is the equation of a line that passes through the point (0, -2) and has a slope of -3?
y = -2
y = -2x - 3
y = -3x - 2
y = -3
Answer:
y = -3x - 2
Step-by-step explanation:
Since the line passes through the point (0, -2), -2 is the y-intercept
Using the slope-intercept form for a line we have
y = -3x - 2
What is the value of x?
Answer:
X=14
Step-by-step explanation:
We know that both sides are congruent
so if the other angle is 7- then divide 70 by 5
Hope this helps ^-^
Step-by-step explanation:
step 1. a quadrilateral has 4 sides and 360° internally.
step 2. 70 + 5x + 110(2) = 360.
step 3. 5x = 70
step 4. x = 14.
[tex]32 \frac{1}{2} \times \sqrt[8]{16} \div (0.008) \frac{1}{3} [/tex]
Which costs more per issue, 18-issue subscription for $40.50 or a 12-issue subscription for $33.60?
Answer:
12-issue subscription
Step-by-step explanation:
18-issue sub = $40.50 ÷ 18 = $2.25/issue
12-issue sub = $33.60 ÷ 12 = $2.8/tissue
=> The 12-issue subscription costs more per issue (2.8 > 2.25)
Answer:
so you would divide the cost by the issue
the 18 issue is $2.25 per issue
the 12 issue is $2.80 per issue
the 12 issue costs more
To rent a bike, Max pays a flat rate plus an hourly rental fee. The graph shows the amount, c dollars, he pays based on the number of hours, t, he uses the bike.
a) Find the vertical intercept of the graph and explain what information it gives about the situation.
b) Find the slope of the graph and explain what information it gives about the situation.
Answer:
The vertical intercept is 5y. The slope is 1/2
Step-by-step explanation:
Please mark Brainliest
line pass through the sets given points. which choice shows perpendicular lines?
Answer:
I have no reference to this question, there is no graph or anything to show me.
Step-by-step explanation:
Evaluate 3n + 4^2 when n = 2
Answer:
22
Step-by-step explanation:
3n + 4^2
n = 2
3(2) + 4^2 = 6 + 16 = 22
