Answer:
[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]
Step-by-step explanation:
(Assuming the den is a rectangle)
Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].
The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:
[tex]x(x-10)=231[/tex]
Expanding this, we have:
[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]
This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].
Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].
3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
PLEASE HELP I NEED TO RAISE MY GRADE PLEASE
Answer:
AC, AB. BC
Step-by-step explanation:
Supposed U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1} is the universal set and K = {-10, -8, -6, -4, -2}. What is K’?
Answer:
-9
Step-by-step explanation:
-9,
can you solve for x and y pls hurry ...
Answer:
x=50 y=25
Step-by-step explanation:
brainliest pls
Use guess and check to solve for the unknown number.
The quotient of eighteen and a number is three. What is the number?
Which statements about the problem are true? Check all that apply.
This is a multiplication problem.
This is a division problem.
Multiply 18 by 3.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
The quotient of eighteen and fifty-four is three.
Answer:
This is a division problem.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
Step-by-step explanation:
Write an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x|
Your bank account balance is $46.74. You deposit $60.86, then withdraw $134.70. What is your new balance?
Solve to get points!
Answer:
The answer is 6/3>2/3
Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).
Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
f(x) = 2x + 7g(x) = x-3To determine
f(g(-2)) = ?In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
Maddie can not decide which of two Ski sets to buy. The original price of each is $850. The first ski set is marked 50% off. The second was marked down by 30% then a few days later an additional 20% off. 1. Find the sale price of the first ski set... 50% off. Show your work. 2. Find the Sale Price of the Second Ski Set Marked 30% then 20%. Show your work. 3. Which one is a better deal for Maddie and why?
Answer:
$425i. $595 ii. $476First skiStep-by-step explanation:
1. The first ski was valued at $850 but was then given a 50% discount. The sales price will therefore be:
= 850 * ( 1 - 50%)
= 850 * 50%
= $425
2. The first one was first discounted by 30% so the sales price was:
= 850 * ( 1 - 30%)
= 850 * 70%
= $595
It was then marked down by a further 20%:
= 595 * ( 1 + 20%)
= $476
3. The first ski is a better option because the discount makes it cheaper than the second ski even after the second ski had been discounted twice.
Pls help taking finals
What is the value of w in the equation -W + 7 = 2w- 2?
Answer:
3
Step-by-Step explanation:
I just worked it out! Good luck :)
Stephanie was going to sell all of her stamp collection to buy a video game After selling half of them she changed her mind. She then bought seventeen more How many did she start with if she now has 42?
Pls help it due ASAP
pls show workings
Pls u really need help
Answer:
13 miles
Step-by-step explanation:
you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.
A garden patio is covered wit grey slabs and yellow slabs .1/5 of the slabs are grey a)write down the ratio of grey slabs to yellow slabs give your answer in its simplest form b)there are 55 slabs in total work out the number of yellow slabs
Answer:
1:u
Step-by-step explanation:
Grey slabs = 1/5 of total slab
Say total slab = x
Then,
Grey slabs = 1x/5
We can represent
Yellow slabs = u/5
Then ratio of Grey to yellow would be;
Gray slabs / Yellow slabs = (1x/5)/(u/5)
=1/u
= 1:u
Since there are 55 slabs in total, then
Yellow slab would be = 55/5 = 11
Hello can anyone answer this for me please ? I will give brainliest
Answer:
Your answer will be A have a good day :)
Step-by-step explanation:
A - 1 = 1 and B is 1
Solve for x. Look at the image attached thanks.
Answer:
x=2.2
Step-by-step explanation:
You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.
So we can use the following ratios to solve for ED=x:
Serenity has some pennies and some nickels. She has no less than 18 coins worth at most $0.66 combined. If Serenity has 12 pennies, determine the maximum number of nickels that she could have. If there are no possible solutions, submit an empty answer.
Answer: 10 nickels
Step-by-step explanation:
A pennie is a cent or $0.01. Serenity has 12 pennies so the amount she has from pennies is:
= 12 * 0.01
= $0.12
The amount she has in nickels at most is therefore:
= 0.66 - 0.12
= $0.54
A nickel is $0.05 so the number of nickels are:
= 0.54/0.05
= 10.8 nickels
= 10 nickels
If she has 10 nickels then the total she would have is:
= (12 * 0.01) + (10 * 0.05)
= $0.62
This fits the parameters
help plz plz will mark brainliest
Answer:
x = 52°
Acute angle = 64°
Step-by-step explanation:
Problem 1:
Since DN bisects <BDW, this means that m<BDN = m<NDW
Thus:
5v - 8 = 4v + 4
Collect like terms
5v - 4v = 8 + 4
v = 12
x = m<BDN = 5v - 8
x = 5v - 8
Plug in the value of v
x = 5(12) - 8
x = 52°
Problem 2:
First, find the value of y
(4y - 44) + (3y + 35) = 180 (linear pair)
4y - 44 + 3y + 35 = 180
7y - 9 = 180
7y = 180 + 9
7y = 189
Divide both sides by 7
y = 27
Acute angle = 4y - 44
Plug in the value of y
Acute angle = 4(27) - 44 = 64°
Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?
Question in English:
Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?
Plzzzzz give me Brainliest!!!!!
Can y’all help me with this
Answer:
24.45cm squared
Step-by-step explanation:
(9 x 12) - ((6 x 3.14) / 2)
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
Group of answer choices
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D.The slope from point O to point A is two times the slope of the line from point A to point B.
Answer:
A
Step-by-step explanation:
You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.
In a line, the slope never changes so it's A.
2x – 5 = 7 to 2x = 12 What property of equality was used?
Property of Addition and division.
I step by step explanation
Answer:
The slope of line formed by given two points is undefined as the denominator becomes zero.
Step-by-step explanation:
Given points are:
(2,4) and (2,-2)
Here
[tex]x_1 = 2\\y_1 = 4\\x_2 = 2\\y_2= -2[/tex]
Slope is defined as the steepness of a line in the plane.
It is denoted by m and is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]
Putting the values we get
[tex]m = \frac{-2-4}{2-2}\\m = \frac{-6}{0}\\m = \infty[/tex]
The slope of line formed by given two points is undefined as the denominator becomes zero.
Question 3 (2 points)
(04.07)
Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)
Complete question is;
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
A. Month 1
B. Month 2
C. Month 3.
D. Month 4
Answer:
Option D: Month 4
Step-by-step explanation:
We are given the functions;
f(x) = 3^(x)
And g(x) = 7x + 6
We want to find the month when f(x) > g(x)
Thus;
3^(x) > 7x + 6
For option A, month 1 means x = 1.thus;
LHS is 3¹ = 3
RHS = 7(1) + 6 = 13
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option B, month 2 means x = 2. thus;
LHS is 3² = 9
RHS = 7(2) + 6 = 20
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option C, month 3 means x = 3. thus;
LHS is 3³ = 27
RHS = 7(3) + 6 = 27
Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct
For option D, month 4 means x = 4. thus;
LHS is 3⁴ = 81
RHS = 7(4) + 6 = 34
Our LHS is greater than RHS as the question demands, thus this option is correct
f(x)=3x-5 please help :>
Answer:
x= 5/3?????
Step-by-step explanation:
try using math
way
The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP.
Answer:
19.5416g
Step-by-step explanation:
5+7 =12
33.5/12 = 2.7916
2.7916 x 7 = 19.5416g
Step-by-step explanation:
A bear cub walks
5/6 miles in 5/12
age
hours. What is its
speed in terms of miles per hour?
Answer:use math(way
Step-by-step explanation
It help
Answer: 2 miles per hour
Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2
Solve for Y
-6x-2y+8
Step-by-step explanation:
-6x-2y+8
-6x -6x
÷-2 (-2y=-6x+8)
3x=-4
x= 3x
y= -4
y=-4-3x
this is a geometry question, please help me asap!!
please please please help quick
Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
Since the triangle has a right angle, we are going to use pythaogoran theoem, which is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the legs and and c is the hypotunese/ slated side. Let set it up.
[tex]3^{2} +6^{2} =c^{2}[/tex]
9+36=c^2
45=c^2
[tex]\sqrt{45}[/tex]=
Then we are going to find a perfect squarre root(1,4,9,16,25....) to simplify the radical
The perfect square root is 9 because 9 goes into 45 5 times.
[tex]\sqrt{9x5}[/tex]
Then take the sqr root of 9 and we have [tex]3\sqrt{5}[/tex]