The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.
Surface area of a conesurface area = πr(r + l)
where
r = radiusl = slant heightTherefore,
l = 20 inches
24π = 2πr
r = 12
Therefore,
surface area = π(12)(12 + 20)
surface area = 12π(12 + 20)
surface area = 12π × 32
surface area = 384π inches²
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Answer:
B) 384 π square inches
Step-by-step explanation:
E2020
An orchard has 700 pear trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?
Answer:
25
Step-by-step explanation:
Number of rows: x
Number of trees per row: y
So x rows multiplied by y trees per row = 700
x × y = 700
xy = 700
This is our first equation
x rows = y trees per row plus three (or x rows minus three = y trees)
x = y + 3
So if x = y + 3,
In xy = 700, we can substitute the x because we have it's value
(y + 3)y = 700
y² + 3y = 700
Divide 3 by 2 then square the answer = 2.25
y² + 3y + 2.25 = 700 + 2.25
Simplify
(y + 1.5)² = 702.25
Get the square root of both sides
(y + 1.5) = ±26.5
y = 26.5 - 1.5 or -26.5 - 1.5
So y is either 25 or -28 (A negative number of trees doesn't make sense so we'll stick with 25
1). 15workers can dig a well in 16 days.how long will it take to dig the well by 20 workers?
2). 24 men can do a piece of work in 15 days. in how many days can 45 men do another piece of work 2 times as great
Answer:
a)12days
b)8days
Step-by-step explanation:
15x16
=240
240÷20
=12days
24x15
=360
360÷45
=8 days
Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.
How to analyze and solve logarithmic expressionsLogarithms are trascendental functions, that is, functions that cannot be described algebraically.
In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:
[tex]\log_{b} x^{2} = 10[/tex]
[tex]2\cdot \log_{b} x = 10[/tex]
[tex]\log_{b} x = 5[/tex]
x = b⁵
Then, the value of the latter logarithm is:
log₃ (x⁻¹)[tex]^{1/b}[/tex]
- b⁻¹ · log₃ x
- b⁻¹ · log₃ b⁵
- 5 · b⁻¹ · log₃ b
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]
RemarkThe statement is poorly formated, correct form is described below:
Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].
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The sales tax on a table saw is $8.25.
a. What is the purchase price of the table saw (before tax) if the sales tax rate is 5.5%?
b. Find the total price of the table saw.
Answer:
a. $150
b. $158.25
Step-by-step explanation:
a.The amount of tax is the product of the tax rate and the price being taxed. This relation can let us solve for the price.
tax = tax rate × price
price = tax/(tax rate) = $8.25/0.055 = $150.00
The purchase price of the table saw is $150.00.
__
b.The total price is the sum of the purchase price and the tax.
total price = price + tax
total price = $150.00 +8.25 = $158.25
The total price of the table saw is $158.25.
Use the distributive property to write the following expressions in expanded form. 4(x +y)
Answer:
4x+4y
Step-by-step explanation:
Answer:
4x + 4y
Step-by-step explanation:
To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.
So here, you want to multiply x by 4:
4x
Then multiply y by 4:
4y
And because the expression is adding the x and y, it comes out as:
4x + 4y
Need some help 54 pts
Step-by-step explanation:
as shown in the picture.
you can comment if there is a problem
Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?
Answer:
23
Step-by-step explanation:
Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally. They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.
-138 is close to -137.56
-6 is close to -6.12
[tex]\implies \dfrac{-138}{-6}[/tex]
Divide the top and bottom by -2:
[tex]\implies \dfrac{69}{3}[/tex]
Divide the top and bottom by 3
[tex]\implies 23[/tex]
If this is too difficult to divide mentally, you could use -140 and -7:
[tex]\implies \dfrac{-140}{-7}[/tex]
As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
a bag contains coins of rupees 2 Rupees 1 and 50 paise, in ratio of 1 is to 2 is to 4. if the total amount is rupees 72 find how many 50 paise coins are there?
Answer:
Final answer -
[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]
hope helpful :D
The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins
How to solve currency conversions?Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;
Let number of 2 rupees coins in the bag = 1x
Let number of 1 rupees coins in the bag = 2x
Let number of 50 paise coins in the bag = 4x
Total amount of money = 72 rupees. Thus;
(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72
2x + 2x + 2x = 72
6x = 72
x = 72/6
x = 12
Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins
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#SPJ5
i need help with this problem
Answer:
Disagree
Step-by-step explanation:
because it looks like less than 45
Each of students reported the number of movies they saw in the past year. Here is what they reported.
11,6 ,9 ,16 ,12 ,18 ,14
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
18+16+14+12+11+9+6=8686÷7=12.2812.28=13Answer:
12.3
Step-by-step explanation:
11+6 +9 +16 +12 +18 +14 =86
86/7 = 12.28571
Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit
(12.3) rounded to the nearest tenth.
Does x/x+11 simplify to 1/11? Why or why not ?
Answer:
No.
Step-by-step explanation:
Because only x / 11x simplifies to 1 / 11
X and 11 are not the same, therefore you cannot simplify them
Help please! How many cups for white paint on 1 then white paint on 10!
Answer:
1 is .83 or .80 if your rounding and 10 is 8.3 but if your rounding its just 8
Step-by-step explanation:
Its because 5/6 is .83 so for every 1 white there .83 red
Which of the following is true of the numbers 4 and 10?
A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.
Answer:
None
Step-by-step explanation:
Answer is isn't there
the gcf = 2
the LCM = 20
112 is 80% of what number?
A. 140
B. 896
C. 1,400
D. 8,960
Answer:
A
Step-by-step explanation:
112/0.8 = 140
Answer:
A
Step-by-step explanation:
I am not sure about the answer
Given that g(x) = f(x) + k, identify a value of k that transforms f into g
Answer:
7
Step-by-step explanation:
The value of k will translate the graph up k units if k is positive and down k units if k is negative. To transform f into g line f would translate up 7 units.
Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?
Answer:
2 2/3 foot
Step-by-step explanation:
3x=8
x=8÷3
=2 2/3 foot
Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59
What is the better buy
Divide price by size of each and compare the u it price:
2.99/32 = 0.0934 per ounce
1.59/18 = 0.0883 per ounce
The 18 ounce do $1.59 has a lower cost per ounce so is the better buy
Which of the binomials below is a factor of this trinomial?
x^2 + 8x + 16
A. x + 4
B. x - 4
C. x + 8
D. x - 8
The answer is A.
Pick A.
Good luck
pls help
Letf(x)=(x+2)2.
Letg(x)=3(x+2)2.
Which statement describes the graph of g(x) with respect to the graph of f(x)?
It is compressed horizontally by a factor of 3.
It is translated up 3 units.
It is stretched vertically by a factor of 3.
It is translated right 3 units.
 Find the equation of the line that is perpendicular to 4 x + 3 y = 5 and goes through the point (3, –3)
Step-by-step explanation:
the line equation
y = ax + b
gives us slope (a) and y-interception (b).
4x + 3y = 5
3y = -4x + 5
y = -4/3 × x + 5/3
the slope of the original line is therefore -4/3.
a perpendicular slope flips x and y upside-down and flips the sign.
so, the perpendicular slope of -4/3 is 3/4.
the desired line looks like
y = 3/4 × x + b
b we get by using the given point and its coordinates :
-3 = 3/4 × 3 + b = 9/4 + b
-12/4 = 9/4 + b
b = -21/4
so our full line equation is
y = 3/4 × x - 21/4
or
4y = 3x - 21
-3x + 4y = -21
Which number is a common multiple of 3 and 4?
A) 8
B) 14
C) 32
D) 48
Answer:
LCM of 3 and 4 is 12
Step-by-step explanation:
This is your answer
Answer:
The answer is D.
Step-by-step explanation:
To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 3/5.
Angle A
Angle C
Angle Z
Angle B
Angle W
Angle Y
Answer:
Angles A and W.
Explanation:
Cosine = Adjacent side/Hypotenuse
draw a model of 1/2 ÷ 4 pls don't say I cant draw it or something I DONT GET IT THEN BUT IF YOU CANT DRAW IT PLS EXPLAIN GOOD! URGENT!!!
Answer:
try using a pie chart and split the division up in the pie, look to internet for images for an example
Step-by-step explanation:
Answer:
The answer is 3.1
Step-by-step explanation: 1/2 ÷ 4 would go like 4-1/2=2.8 then do it again 2.5-1/2=1.3 then do it once more 1.3 ÷ 1/2= 0.1 so the overall answer is 3.1. Your welcome!
What is a2+b2+c2? Thank you for your help.
Answer:
Pythagoras theorem
Step-by-step explanation:
dhebbd
Simplify Sinx + cosx/ cos²x - sin²x
[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]
Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.
Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.
The composite function combines the palm tree and the seed functions
The composite function is t(d) = 60d + 20
How to determine the composite functionsThe functions are given as:
Number of palm trees: t(s) = 3s + 20
Number of seeds: s(d) = 20d
The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:
t(s(d))
This is calculated as:
t(s(d)) = 3s(d) + 20
Substitute s(d) = 20d
t(s(d)) = 3 * 20d + 20
Evaluate the product
t(s(d)) = 60d + 20
Rewrite as:
t(d) = 60d + 20
Hence, the composite function is t(d) = 60d + 20
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Click and drag like terms onto each other to simplify fully. 1+7+3y
Answer:
8+3y
Step-by-step explanation:
Combine like terms; 1+7=8. That is the only like term in this expression.
Find an equation of the vertical line through (-4,-3)
Answer:
x = -4
Step-by-step explanation:
Vertical lines are up and down, which means the x coordinate stays the same.
This means the line is in the form
x=
x = -4
Answer:
Step-by-step explanation:
A vertical line has the general equation of x = a. y can be anything.
The x value that you will use is -4. Every point must have -4 as its value for a.
Answer: x = -4
What’s the difference between 4, 7/9 and 2 1/2
[tex]\huge \mathbb \orange{ANSWER} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf \purple{4 \frac{7}{9} - 2 \frac{1}{2} }[/tex]
[tex] \blue\implies \mathsf \pink{ 2(\frac{43}{9}) - (\frac{5}{2} )9 }[/tex]
[tex] \blue \implies \mathsf \purple{ \frac{86}{18} - \frac{45}{18} }[/tex]
[tex] \blue \implies \mathsf \pink{ \frac{41}{18} = 2 \frac{5}{18} }[/tex]