Answer:
2.5%
Step-by-step explanation:
Given data
Profit = Euro 20,000,000
Tax paid= Euro 500,000
The percentage tax paid is
% Tax= Tax paid/Profit*100
% Tax= 500,000/20,000,000*100
% Tax=0.025*100
% Tax=2.5
Hence the percentage tax paid is 2.5%
The Pike Ferris Wheel in downtown Long Beach is 90 feet tall.
Select all of the expressions below that could be used to find the distance, measured in
feet, that one of the gondolas will travel in one revolution of the giant wheel.
Answer:
[tex]C = 45 * 2\pi[/tex]
[tex]C = 90\pi[/tex]
Step-by-step explanation:
Given
[tex]h = 90[/tex] -- height of the wheel
Required
The expression for the distance traveled in 1 revolution
The height of the wheel implies that:
[tex]d =90[/tex] --- diameter equals height
The distance in 1 revolution is calculated by calculating the circumference of the wheel using:
[tex]C = 2\pi r[/tex] or [tex]C = \pi d[/tex]
Where
[tex]r = \frac{1}{2} * d[/tex]
[tex]r = \frac{1}{2} * 90[/tex]
[tex]r = 45[/tex]
So, we have:
[tex]C = 2\pi r[/tex]
[tex]C = 2\pi * 45[/tex]
[tex]C = 45 * 2\pi[/tex]
[tex]C = \pi d[/tex]
[tex]C = \pi * 90[/tex]
[tex]C = 90\pi[/tex]
Hayden wants to find out what grade he must receive on his next math test in order to receive a 90 on his report card. His current math test grades are a 90, 89, 91, and 92. Which measure of center would be best for him to use
Answer: Mean
Step-by-step explanation:
Mean is best used when the numbers in the data set are close together and the number of outliers are limited because outliers will either increase or decrease the mean such that it would not be a true representation of the data set.
In cases like the above however where the numbers are generally in the same range, the mean would provide a center measure that is the most representative because it would simply be a simple average of the numbers.
Need help on this question asap pleasee :)
Answer:
Step-by-step explanation:
Formula for total surface area of of the triangular prism is:
Total Surface area (S) = Ph+ 2B
P = Perimeter of the triangular base
P = 6 + 8 + 10
P = 24 cm
h = height of the prism = 10 cm
B = area of the base
B = ½*bh = ½*8*6
B = 24 cm
S = 24*10 + 2(24)
S = 240 + 48
S = 288 cm²
Total surface area = 288 cm²
Find the value of the trig function indicated.
Answer:
[tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuse[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
Step 1: Define
Identify variables
a = 8
b = 12
c
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 8² + 12² = c²Evaluate exponents: 64 + 144 = c²Add: 208 = c²[Equality Property] Square root both sides: √208 = cRewrite: c = √208Simplify: c = 4√13Step 3: Define Pt. 2
Identify variables
Angle θ
Adjacent leg = 8
Hypotenuse = 4√13
Step 4: Find
Substitute in variables [Cosine]: [tex]\displaystyle cos\theta = \frac{8}{4\sqrt{13}}[/tex]Rationalize: [tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]Answer:
Solution given;
In right angled triangle with respect to θ
perpendicular: opposite side: [P]=12
base:adjacent:[b]=8
hypotenuse [h]=?
cosθ=?
According to the Pythagoras law
h²=p²+b²
h²=12²+8²
h=[tex] \sqrt{208}[/tex]
h=[tex] 4\sqrt{13}[/tex]
Now
we have
Cos θ=[tex]\frac{adjacent}{hypotenuse}[/tex]
Cos θ=[tex]\frac{8}{4\sqrt{13}}[/tex]
by rationalising it
Cos θ= [tex] \frac{2\sqrt{13}}{\sqrt{13}×\sqrt{13}}[/tex]
Cos θ= [tex] \frac{2\sqrt{13}}{13}[/tex]
is a required answer.
A right rectangular prism is shown.
7 inches
5 inches
12 inches
To the nearest tenth of an inch, what is the length of the diagnal, d?
15.56 in.
Step-by-step explanation:
i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.
find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)
use that number you just got (I got ) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse
use the Phythagorean theorem again to find d, andddd... you've got your answer!
Answer: Ok well when you do the math you get 14.76 then round to the nearest tenth of an inch you get 17.8. So, d ≈ 14.8
Step-by-step explanation:
I did the math...
what will the remainder over the divisor?
25 POINTS!!! What shape can be created by the given net? triangular prism square pyramid cube rectangular prism
Answer:
triangular prism
Step-by-step explanation:
The volume of a cylinder is 1044 cm^3. The radius of the base of the cylinder is 6cm. What is the height of the cylinder?
Answer:
9.24
Step-by-step explanation:
Formula Cylinder = πr² * h
Let's work backwards
Use 3.14 for π
3.14 * (6)² * h = 1044
3.14 * 36 * h = 1044
113.04 * h = 1044
h = 1044 ÷ 113.04
h ≈ 9.24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I need help with these two please
Answer:
[tex]21(2-x)+12x=44[/tex]
[tex]42-21x+12x=44[/tex]
[tex]42-9x=44[/tex]
[tex]42-9x-42=44-42[/tex]
[tex]-9x=2[/tex]
[tex]-9x=2\\-9 ~~-9[/tex]
[tex]x=-2/9[/tex]
-----------------------
hope it helps..
have a great day!!
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Use 3.14 for and round your answer to the nearest tenth of a foot. PLS HELPPP !
Answer:
1.6 ft.
Step-by-step explanation:
Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:
Volume = πr²h/3
Therefore substituting gives:
Volume = π(1)²(2)/3 = 2π/3 ft³
Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.
Volume of sphere = 4πr³/3
4πr³/3 = 2π/3
2r³ = 1
r³ = 1/2 = 0.5
r = ∛0.5 = 0.8 ft.
Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.
hey! i’ll give brainliest pls help.
Answer:
C) The fossil is between 10 million and 50 million years old.
Step-by-step explanation:
Since Layer B is located between Layer A and C, option C is the only reasonable answer because Layer A is 50 million years old and Layer C is 10 million years old.
Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2
The number line inequality will be true for the following condition given in this problem:
When a = 0 and c = -8.
How are real numbers represented on a number line?On a number line, real numbers increase from left to right, meaning that:
Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.
For this problem, the inequality is:
c > b > a.
Which means that:
c is to the left of b.b is to the left of a.We have that b < -1, hence:
c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...Then the conditions that make the statement b < -1 true are given as follows:
When a = 0 and c = -8.
More can be learned about number line inequalities at https://brainly.com/question/24372553
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A park is 9/10 mile long and 4/5 mile wide what is the area of the park
Answer:
Length=3/4 mi and width=1/2 mile so
L:W=(3/4):(1/2) by convention we will express this ratio with integers...multiplying both fractions by 4 we get:
Area =3:2
Please give me answer find the odd option
Answer:
should be the third (81,90)
Step-by-step explanation:
Vertical angle question, should be easy points for you
Answer:
I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct
Step-by-step explanation:
Sorry for not helping sooner
which ordered pair is a solution of the equation
Answer:
D
Step-by-step explanation:
y - 4 = 7(x - 6) Remove the brackets
y - 4 = 7x - 42 Add 4 to both sides
y = 7x - 42 + 4
y = 7x - 38
Note when you put this in slope, y intercept form, the ordered pair is easier to find.
Let x = 5
y = 7*5 - 38
y = 35 - 38
y = -3 (5,4) isn't right
Let x = 6
y = 7*6 - 38
y = 42 - 38
y = 4 That does not work either.
The answer is D
What is Joaquins unit rate, in miles per hour
Answer:
1 1/4 mile/hr (Answer B)
Step-by-step explanation:
Distance traveled: 1/4 mile; elapsed time: 1/5 hour. Then:
1/4 mile
--------------- = 5/4 mile/hr, or 1 1/4 mile/hr (Answer B)
1/5 hour
adding and subtracting unlike fractions in word functions
A cupcake recipe calls for 1/4 tablespoons of salt and 1/8 tablespoons of vanilla. How many tablespoons of salt and vanilla are required?
Answer:
3/8 tablespoons
Step-by-step explanation:
When we add fractions, we have to make each fraction a common denominator.
So we get 1/4 into 2/8 and we have 1/8
So we add and get 3/8
This Stem-and-Leaf Plot shows the number of people who attended a local nine-day carnival.
Which statement is not true about this data set?
A. The range is 50 people.
B. The median is 65 people.
C. The mean is 65 people.
D. The mode is 65 people.
Answer:
C) this is the false statement
Step-by-step explanation:
data set in list form:
35, 42, 45, 55, 65, 65, 68, 76, 85
Range: 85-35 = 50
Median: 65
Mean: 536/9 = 59.5
Mode: 65
The statement that is not true about this data set is C. The mean is 65 people.
This Stem-and-Leaf Plot shows the number of people who attended a local nine-day carnival.
The data set in list form:
35, 42, 45, 55, 65, 65, 68, 76, 85
How to find the mean and median of a data?Mean is the ratio of sum of the observations to the total number of observations.
Mean: 536/9 = 59.5
Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median: 65
Range = Maximum value of the data set - Minimum value of the dataset
Range: 85-35 = 50
Mode is the number in given data that occurs frequently.
Mode: 65
Learn more about skewed distribution here:
https://brainly.com/question/13111221
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Given csc A= 37/12 and that angle A is in Quadrant I, find the exact value of sec A in
simplest radical form using a rational denominator.
Answer:
Step-by-step explanation:
Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:
[tex]37^2=12^2+b^2[/tex] and
1369 = 144 + b² and
1225 = b² so
b = 35
The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35
Help please like this is due in 30 minutes if you don’t know don’t answer
Answer:
Step-by-step explanation:
6 no answer 0,9
7 no answer -3,-10
8 no answer -10,2
9 no answer 2,0
hope this helps u!!
Find the smallest number should be subtracted from 9340 so as to get a perfect square.
Square root of 9340 = 96.64
nearby number = 96
square of 96 = 9216
9340- 9216= 124
the smallest number 124 should be subtracted from 9340 so as to get a perfect square.
Plz help me it’s being timed
Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.
Answer:
v = 2c
Step-by-step explanation:
Pleaseeee helpppp meeee nowwwww
Answer:
The rate of change would be $3.50 per gallon.
Step-by-step explanation:
In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.
20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.
Answer: [tex]518.4\ cm^3[/tex]
Step-by-step explanation:
Given
The volume of the small block is [tex]300\ cm^3[/tex]
The ratio of the surface area of small to large block is [tex]25:36[/tex]
Suppose the length of the small and large box is a and b
[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]
What are the coordinates of the point that is 1/5 of the way from A(-7,-4) to
B(3, 6)?
A. (-5,0)
B. (0,3)
C. (-5,-2)
D. (1,4)
Answer:
C. (-5, -2)
Step-by-step explanation:
I used
x1 + / (x2 - x1), y1 + / (y2 - y1)
so
-7 + 1/5(3 - (-7)
-7 + 1/5 (10)
-7 + 10/5
-7 + 2 = -5 (X)
then
-4 + 1/5(6 - (-4)
-4 + 1/5(10)
-4 + 10/5
-4 + 2 = -2 (Y)
(-5, -2)
Help please I am really struggling with this practice !
Answer:
The answer would be 71 because x = 9 so y = 71
-5 - 2n = 8n + 25
What is n? n = ____
Answer:
[tex]n = -3[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5-2n=8n+25
-5-25=8n+2n
-30=10n
-30/10=n
-3=n
Step-by-step explanation:
therefore n=-3
Hope this helps u!!
Help it’s almost due!!!!