Answer:
12 months
Step-by-step explanation:
community gym = 50 + 50x
workout gym = 170 + 40x
you need to find out how many months it will take for them to be equal, so:
50+50x = 170+40x
solve for x
10x = 120
x = 12
after 12 months, they will cost the same
Please help me i'm struggling!
what is the length of side x in the above right triangle
Answer:
4
Step-by-step explanation:
b² - a² is the formula
5² - 3²
16
√16
= 4
Whats 8^6 ÷ 8 pls ty :D
Answer:
[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]
Answer:
[tex]8^{5}[/tex] or 32768
Step-by-step explanation:
When dividing exponents, you subtract the exponent on the top from the one on the bottom:
[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex] because 6-1 = 5
In a school the ratio of boys to girls is 3:2. What percentage of the students are girls?
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.
480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.
Answer:
216π sq ft
Step-by-step explanation:
given that :
d = 12 ft => r = 12/2 = 6ft
h(cyl) = 10 ft
h(cone) = 8 ft
the surface area = ?
the solution :
the slant of cone = √r²+h²
= √6²+8²= √100 = 10 ft
the surface area of silo =
the lateral area of cone + the lateral area of cylinder + the base area
= π×r×slant + 2×π×r×h(cyl) + π×r²
= π×6×10 + 2×π×6×10 + π×6²
= 60π + 120π + 36π
= 216π sq ft
The surface area of the silo will be 216π square feet. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.
The surface area is the sum of the surface area of the cone and cylinder. Then we have
The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.
Surface area = πrl + 2πrh + πr²
The length of the radius will be
r = d /2
r = 12 / 2
r = 6 ft
The length of slant height will be
l² = 6² + 8²
l² = 100
l = 10 ft
Then the surface area of the silo will be
SA = π × 6 × 10 + 2π × 6 × 10 + π6²
SA = 60π + 120π + 36π
SA = 216π square feet
The surface area of the silo will be 216π square feet.
Then the correct option is C.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
Find the rest of the equation.
Answer:
D = 48 E= 90 F = 42 FE = 15
Step-by-step explanation:
Sorry, i dont know how to get DF and DE yet
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.
How much time does Pam spend practicing math every day? Show your work.
Answer:
30 minutes
Step-by-step explanation:
20+30+20--80
I need help ASAP plz
Answer:
a = 14.4
Step-by-step explanation:
It's a right angled triangle. so it has to follow Pythagoras Theorem
according to it square of hypotenuse = sum of squares of other two sides
[tex]16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4[/tex]
after rounding the decimal a= 14.4 in
Write the slop form of an equation of the line thet passes throughtl (4-3)and(2,1
Answer:
y+2x-5= 0
Step-by-step explanation:
Applying,
(y-y₁) = m(x-x₁)............... Equation 1
Where m = slope
But,
m = (y₂-y₁)/(x₂-x₁)
Given: y₁ = -3, y₂ = 1, x₁ = 4, x₂ = 2
m = (1+3)/(2-4)
m = 4/-2
m = -2
Substituting into equation 1
(y+3) = -2(x-4)
y+3 = -2x+8
y = -2x+8-3
y = -2x+5
y = 5-2x
y+2x-5 = 0
What is the area of the triangle shown below?
Answer:
12
Step-by-step explanation:
Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.
A = bh/2
A = 8 * 3/2
A = 12
Find the greatest common factor of the
following monomials:
39n3 48n2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Monomial means an algebraic expression that consists of using ONE term}[/tex]
[tex]\mathsf{39n^3: 1, 3, 13, 39, n, n, n}[/tex]
[tex]\mathsf{48n^2: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, n, n}[/tex]
[tex]\large\textsf{Like terms: 1, 2, 3, n, n}[/tex]
[tex]\boxed{\boxed{ \large\textsf{Answer: \bf The GCF (Greatest Common Factor): 3n}^2}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{aAmphitrite1040:)}[/tex]
What is the length of a diagonal of a rectangle 9m long and 5m wide?
G(x) = 8x - 9 for g(x) = 23
Jason wants to know the percentage of M & M's that are green. He chooses a sample of 30 M & M's from a bag, and 3 of them are green. What is the margin of error of his experiment (round to 4 decimal places)? .1074 .1074 .9845 .9845 .1235 .1235 .8824
Answer:
The margin of error of his experiment is of 0.1074.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
30 M & M's from a bag, and 3 of them are green.
This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]
Standard 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]
[tex]M = 0.1074[/tex]
The margin of error of his experiment is of 0.1074.
A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds
Answer:
B
Step-by-step explanation:
Simply subtract 0.07 from 49.51 too get 49.44.
Hope that this helps!
What is the sign of -9. (0/-3)
Answer:
C Zero
Step-by-step explanation:
[tex] -9 \times (\dfrac{0}{-3}) = [/tex]
[tex] = -9 \times 0 [/tex]
[tex] = 0 [/tex]
Answer: C Zero
Verify Expreimentally that if all sides and all angles of a quadrilateral are equal then it is the square
Answer:
Wikipedia says:
"In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles)."
https://en.wikipedia.org/wiki/Square
Step-by-step explanation:
Please help it's urgent!
The height of a parallelogram is four times the base. The base measures 3.5 ft. Find the area of the parallelogram.
Answer:
49ft^2
Step-by-step explanation:
3.5ft X 4= 14ft
Area of parallelogram formula:
(perpendicular height)(base)= area
(14ft)(3.5ft)=49ft^2
BRAINLIEST FOR CORRECT ANSWER.
I drew what option c was for the third answer
Answer:
B A B
Step-by-step explanation:
Answer:
1. A or one meter
2. A or 4 kilometers
3. B or 4 thousand strides
Step-by-step explanation:
marathon is 4 kilometers and a kilometer is 1000 strides or meters.
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
Plot the points P (2, -3) & Q (-5, -3) whose ordinates are same. To which axis the line PQ is parallel.
Given :
The points P (2, -3) & Q (-5, -3) whose ordinates are same.
To Find :
To which axis the line PQ is parallel.
Solution :
In given points the ordinates are same.
Therefore, the line is parallel to the x- axis.
Hence, this is the required solution.
The ratio of girls and boys in Aamir’s class is 3:2 if the number of girls in his class is 21 , what is that number of boys ? The number of boys in Aamir’s class=
Answer:
16
Step-by-step explanation:
for every 3 boys there is 4 girls
divide 12 by 3 and the answer is 4
multiply 4 by 4
16 This will be your answer
PLEASE HELP!
*multiple choice*
List the sides in order from shortest to longest.
Answer:
I think it's a
I'm not that sure tho
What is the length of BC? Please include how you got it :)
Answer:
BC = 24
Step-by-step explanation:
We know that triangles CAB and CED are similar because all three of their angles are the same. Thus, we know that the side lengths of these triangles have to be proportional to each other. You would match side BC with side DC and sides AC with EC.
AC/EC = BC/DC
30/10 = (32-x)/x
3 = (32-x)/x
Then using algebraic properties, solve for x.
3x = 32 - x
4x = 32
x = 8.
Lastly, plug in 8 for the x in BC, 32 - 8, so the length of BC is 24
Answer:
B
Step-by-step explanation:
Δ CBA and Δ CDE are similar triangles, then the ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CD}[/tex] = [tex]\frac{CA}{CE}[/tex] , substitute values
[tex]\frac{32-x}{x}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by x )
32 - x = 3x ( add x to both sides )
32 = 4x ( divide both sides by 4 )
8 = x
Then
BC = 32 - x = 32 - 8 = 24 → B
PLEASE HELP ME! this is due TONIGHT!! thank you so much
explaining your answer = brainliest/ five stars
the area of the parallelogram is ___ square feet
Answer:
Step-by-step explanation:
here,
base=28 ft
height=24 ft
are of parallelogram=base*height
=28*24
=672 ft^2
Answer:
672 ft²
Step-by-step explanation:
Area of parallelogram is the same as the area of a rectangle.
28 × 24 = 672 ft²
Pls help me with this
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
PLEASE HELP ME!!! THANK YOU i really need it
The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?
give exact answer in simplest form
explaining your answer = brainliest/ five stars
Answer:
10 1/5 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2 = pi *6^2 = 36 pi
Then find the fraction of the circle that is shaded
A circle is 360 degrees
102/360 =17/60
Multiply the fraction by the area
17/60 * 36 pi
51/5 pi
10 1/5 pi
Answer:
32.04
Step-by-step explanation:
firstly area of a sector is angle/360 multiplied by pi *r squared
so in this case it is going to be 102/360 *pi *6^2
6 squared is 36 all multiplied by pi and 106/360
it is advisable that you enter them all at once in your calculator
the final answer will be32.0444507
which is rounded to 32.04
Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mode
Answer:
118
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.
Mode is a measure of central tendency
118 appears 3 times while others appear once so it is the mode