Answer:
pi x radius x 2 x height of the cylinder.
find the area of the pentagon in the diagram below.
15 square inches
20 square inches
25 square inches
28 square inches
The area of the pentagon is approximately 15 square inches.
To find the area of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (5/4) * (s²) * (1/tan(π/5)),
where "s" is the length of the side of the pentagon.
Given that the sides of the pentagon are as follows:
Two smallest sides = 2 inches,
Two largest equal sides = 4 inches,
One other equal side = 3 inches.
Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.
The pentagon can be divided into three shapes: a rectangle and two triangles.
Rectangle:
The two smallest sides (2 inches) form the length and width of the rectangle.
Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.
Triangle 1:
The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.
To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.
h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]
h² = 16 inches² - 2.25 inches²,
h² = 13.75 inches²,
h ≈ 3.7 inches.
Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Triangle 2:
The two largest equal sides (4 inches) and the other 3-inch side form another triangle.
Using the same height (3.7 inches) from Triangle 1:
Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:
Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2
Total Area = 4 square inches + 5.55 square inches + 5.55 square inches
Total Area ≈ 15.1 square inches.
Therefore, the area of the pentagon is approximately 15.1 square inches.
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The swimming pool shown is a right prism with concave hexagonal bases.... pls help
3 bottom sections:
10 x 20 = 200
5x 20 = 100
10 x 20 = 200
Bottom area = 200 + 200 + 100 = 500 square feet.
Short side: 3 x 20 = 60
Deep end wall : 6 x 20 = 120
Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108
2 side walls: 108 x 2 = 216
Total area : 500 + 216 + 60 + 120 = 896 square feet
Divide total area by area of 1 gallon:
896/400 = 2.24 gallons
It will take 2.24 gallons of paint
Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.
Answer:
If the value of the discriminant is equal to zero
If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
What is square root?The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.
So from the condition given in the question that:-
There would NOT be both a positive and a negative solution, when finding the square root.
So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.
= √0 = ± 0 = 0
Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
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Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?
Answer:
Ryan is a more consistent performer
Step-by-step explanation:
The complete question is
HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
Solution
First we will find the mean deviation of Duke is 7.5
The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.
Hence, Ryan has been more consistent performer
Please help, I need this answer ASAP
Answer: x= (2/3,0) y=(0,2)
X=(4,0) y=(0,8)
X=(-3,0) y=(0,-3)
Step-by-step explanation:
For every $3 Marisa spends, Andie spends $5. Andie spends $120 more than Marisa does. How many dollars does Andie spend?
Answer:
Andie spends $300 (Marisa spends 180)
Step-by-step explanation:
X= What Marisa spends
3------------5
X----------- x+120
CROSS MULTIPLICATION
5X = 3X+ 360
2X = 360
X = 180
180+120 = 300
Andie spend $300.
What is arithmetic operations?A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.
These fundamental numerical activities (+, - , ×, and ÷) we use in our day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.
Given Marisa spend $3 and same time Andie spend $5,
let when Marisa spend $x,
spend of Andie = x + 120
spend of Marisa and Andie are in ratio and equal
3 / 5 = x/(x + 120)
3(x + 120) = 5x
3x + 360 = 5x
2x = 360
x = 180
spend of Andie = x + 120 = 180 + 120 = $300
Hence the spend is $300.
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5. To prove that triangle PQR is isosceles, a student began by stating that
since Q is on the segment perpendicular to PR, Q is equidistant from the
endpoints of PR. What is the error in the student's reasoning ?
Two numbers have these properties Both numbers are greater than 8 The HCF is 8 The LCM is 80 Find the two numbers
Answer:
10 and 64.
16 and 40
Step-by-step explanation:
The product of the two numbers is equal to the product of LCM and HCF
Number 1* Number 2= LCM * HCF
Number 1* Number 2= 8*80
Number 1* Number 2= 640
Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64
so the two numbers will be 10 and 64.
Similalrly the two numbers can also be 16 and 40 and like wise.
Any number greater than 8 dividing 640 will give the second number also.
Question and answers are in the picture
Answer:
C
Step-by-step explanation:
A x 4pi=4piA = C^2
square root both sides and here you go
hope that answers your question
When rolling a die, determine the probability of rolling a number greater than 4.
a. Which outcome or outcomes make up the event of rolling a number greater than 4?
Answer:
The probability that the result of one die roll is greater than 4 is the number of events in set A divided by the total number of possible outcomes (the size of the sample space S) and so the probability of getting a number greater than 4 on one die roll is 2/6 which reduces to 1/3 .
Step-by-step explanation:
Assuming you mean “greater”, rather than “greater than or equal to”, the “successful” rolls are 5 and 6. That’s two out of six choices, so the probability is 2/6 or 1/3.
It gets more interesting when you want the total of several dice to be above a certain number, or to get that number on M of N dice rolls.
But the two basic probability formulas work - 1) add up all possible successful results and all possible results, then divide the number of successes into the total. 2) Multiply all the failure probabilities together, then subtract the result from 1 (100%) to get the success probability. With these two rules, you can solve most simple probability problems.
Playing D&D, and want to know the chance of scoring a 17 or 18 total when rolling 3 dice? You can only get an 18 one way - 6 6 6. You can get a 17 three ways - 6 6 5, 6 5 6, or 5 6 6. So that’s 4 chances out of 6 x 6 x 6 possibilities, which is 216. That’s about 1.85%. With quite a bit more work, you can discover the chance of getting a 17 or better when rolling 4 dice and adding the 3 highest.
Which statements is true about figure DEF?
(I NEED HELP PLEASE)
ITS DUE TODAY
Answer:
It's on the third at the picture
Step-by-step explanation:
hope it helps make brainlliest ty the
14. If angle =120°, what is its value in radians?
ө
ө
Answer:
[tex]120 \times \pi \div 180[/tex]
=2.094
Please help, I will give brainliest to whoever helps!
Answer: 0 solutions, II only, 1 solution
Step-by-step explanation:
When the first equation is factored, there are no real solutions that can be found. b^2 - 4ac has to be greater than 0 to have two solutions. x^2 + 2x + 1 is (x + 1) ^ 2, so there is one solution.
Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1.
a) For di = X - Y , what does it mean for d; to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?
Answer:
the answer is either B or C i beloeve
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
Zac collected 4 pounds of aluminum cans. Brittney collected 1 1/3 times as many pounds as Zac. How many pounds of aluminum cans did Brittney collect? *
Answer:
5 1/3
Step-by-step explanation:
You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3
work out the height of a triangle with base b= 7.7mm and area a=164.78mm2
Answer:
21.4 mm
Step-by-step explanation:
area ÷ base = height
164.78 mm^2 ÷ 7.7 mm
21.4 mm
Check:
base • height = area
7.7 mm • 21.4 mm = 164.78 mm^2
The height of the Triangle is 47.08 mm
What is a Triangle ?A triangle is a polygon with three sides , three vertices and three angles.
It is given that
Area of the Triangle = 164.78 sq. mm
Base of the Triangle = 7.7 mm
Area of the Triangle = (1/2) * base * height
164.78 = (1/2) * 7.7 * Height
Height = 164.78 * 2 /7.7
Height = 47.08 mm
Therefore the height of the Triangle is 47.08 mm
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Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?
Usinf the scatter plot, select all the true statements
Answer:
1 and 5
Step-by-step explanation:
mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent
Answer:
761.54$
Step-by-step explanation:
Step-by-step explanation:
the answer is £761.54
if I am right plz give brainliest
Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x
a Binomial is 2 terms
so the solution is
A
B
E
Answer:
A, B, and E
Step-by-step explanation:
Binomials are equations that consist of two terms.
What is the vertex of y=-5(x+3)^2+5
Answer:
(-3,5)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex.
El diametro de rueda de esta bicicleta mide 80 cm. Si ha dado 10.000 vueltas, ¿cuantos kilimetros ha recorrido?
Answer:
Ha recorrido 8 km.
Step-by-step explanation:
Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:
80cm*10.000=80.000 cm
Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:
1 km → 100.000 cm
x ← 800.000 cm
x=(800.000*1)/100.000
x=8 km
De acuerdo a esto, la respuesta es que ha recorrido 8 km.
A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.
Answer:
b = 2a + 3
Step-by-step explanation:
Here, we want to write an expression for b in terms of a
Mathematically, the formula for the slope of a line is
m = (y2-y1)/(x2-x1)
m is 2
(x1,y1) = (-1,1)
(x2,y2) = (a,b)
Substituting these values
2 = (b-1)/(a-(-1))
2 = b-1/a + 1
2(a + 1) = b-1
2a + 2 = b- 1
2a + 2 + 1 = b
b = 2a + 3
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
Please help! :D Pic is below and dont send links-
Answer:
Frogs : 7, 14, 28
Turtles : 3, 6, 12
Step-by-step explanation:
Multiply equivalently with the same multiple.
Equivalent ratios : (7 : 14) (6 : 12)
Answer:
7*2=14
14*2=28
3*2=6
6*2=12
7/3
14/6
28/12
what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
Answer: look at the picture
Step-by-step explanation: Hope this help :D
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
6 sessions
Step-by-step explanation:
s= session
silver gym: 30 + 45s
session 1: 75
session 2: 120
session 3: 165
session 4: 210
session 5: 255
session 6: 300
fit factor: 90+ 35s
session 1: 125
session 2 : 160
session 3: 195
session 4: 230
session 5: 265
session 6: 300
-6x+4y=-12 in slope intercept form
The slope intercept form is y= 3/2 x - 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have the Equation as
-6x + 4y= -12
As, the slope intercept form is y= mx+ b
So, 4y= -12 + 6x
y= -12/4 + 6/4x
y = -3 + 3/2x
y= 3/2 x - 3
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