Answer:
The volume of the kiosk is 72 m³.
Step-by-step explanation:
The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):
[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]
Where:
r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m
d: is the diameter = 5 m
[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m
[tex]h_{c}[/tex]: is the height of the cone = 2 m
Hence, the volume is:
[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]
Therefore, the volume of the kiosk is 72 m³.
I hope it helps you!
Jessie made 312 energy bars. She puts 24 bars in each bag. She plans to sell the bags for $6 each. How much will she earn if she sells all of the bags? Will give brainliest.
Answer:
she will make 78 dollars
Step-by-step explanation:
312 divided by 24 is `13
13 times 6 is 78
Given right triangle ABC, which of the following statements must be true
Check all that apply.
A. sin A = Cos(90° - A)
B. cosA = sin C
C. ZA and ZC are supplementary
D. sin A = Cos(90°-C)
A + B are correct
via a p e x
The correct statements are A and B
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'
According to the given problem,
cos(A−B) = cosAcosB + sinAsinB .
Let A=90∘, B = a
Therefore.
cos(90∘−a) = cos90∘cosa + sin90∘sina.
Here, we have,
cos90∘ = 0, sin90∘ = 1.
cos(90∘−a) = sina
Now, we know,
sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
For ∠BAC,
cosA = [tex]\frac{AB}{AC}[/tex]
For ∠ACB,
sinC = [tex]\frac{AB}{AC}[/tex]
Hence, we can conclude, A and B are the true statements for the given right-angled triangle.
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Find the range of the data.
The ages of kids playing at a park.
4, 1, 3, 9, 6, 3, 2, 4
Range: [?]
Answer:
8
Step-by-step explanation:
Range is found by taking the largest number and subtracting the smallest number
The largest number is 9
The smallest number is 1
9-1 =8
The range is 8
Answer:
8
Step-by-step explanation:
Range = highest value - lowest value
Range = 9 - 1
Range = 8
What does 2x+4y=12 solve for?
Answer:
Hi, there for x it will be x=−2y+6
But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]
Hope this Helps :)
Step-by-step explanation:
Let's solve for x.
2x+4y=12
Step 1: Add -4y to both sides.
2x+4y+−4y=12+−4y
2x=−4y+12
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]
x=−2y+6
2.
Let's solve for y.
2x+4y=12
Step 1: Add -2x to both sides.
2x+4y+−2x=12+−2x
4y=−2x+12
Step 2: Divide both sides by 4
[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]
[tex]y=-\frac{1}{2} x+3[/tex]
how many groups of 15 minutes are there in 1 3/4 hours
Answer:
7 groups
Step-by-step explanation:
1 hour = 60 minutes
3/4 of an hour = 3/4(60) = 45 minutes
therefore, 1 3/4 hours is 105 minutes
105 divided by 15 is 7
help plssss! i’m rly struggling in geometry
Answer:
i don't know
Step-by-step explanation:
fffgg
A researcher wanted to know if there was a difference in fall and spring semester tuition at universities across the U.S. His study took a random sample of 200 universities, had a p-value of 0.013 and found that the tuition had increased by an average of $0.35 between fall and spring semester. What can be said about the results of this study
Answer:
The given parameters of the study are;
The number of people in the sample, n = 200
The p-value = 0.013
The average increase between fall and spring semester = $0.35
Therefore, we have;
Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.
Step-by-step explanation:
The result of the test hypothesis is incorrect or should be rejected.
What is P-value?Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.
What is the significance of the P-value?The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.
We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.
Hence, the result of the test hypothesis is incorrect or should be rejected.
Learn more about P-Value:
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work out the m and c for the line: y=x-7
Answer:
Step-by-step explanation:
Compare the given y = x - 7 to the general slope-intercept formula
y = mx + b
Here the slope is 1 and the y-intercept, b, is -7.
Answer:
Step-by-step explanation:
Slope - y intercept form : y = mx +c
y = x - 7
m = 1
c = -7
what is the correct answer
Step-by-step explanation:
you tu tubless
ar vi ing
..............
will give brainliest to correct answer
Answer:
A = 5
B = -13
C = 7
Step-by-step explanation:
The general formula of quadratic equation is ax^2+bx+c.
Please helpppp i have a test tomorrow the problem is in the picture below
Answer:
yes
Step-by-step explanation:
Here are some cards with angles written on them.
45°
165°
5°
90°
102°
31°
53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?
the answer is 165 I think because I didn't understand the question
Determine the domain of the following graph:
Answer:
-10<x<6
Step-by-step explanation:
Find where x starts and where x ends
PLEASE HELPPPPP I NEED TO PASS SUMMER SCHOOL
Answer:
c
Step-by-step explanation:
used socratic
Helppppppppp meeeeee
Answer:
y=-1
Step-by-step explanation:
y=-1 just shows the y value which means its just a horizontal line which is parallel to the x axis.
What is the length of /AB?
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
What is the multiplicative rate of change of the function?
2/3
3/4
4/3
3/2
Answer: 3/4
Step-by-step explanation:
Did the test
The required multiplicative rate in the given function is 3 / 4. Option B is correct.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
From the table of the exponential functions,
The multiplicative factor is given as,
K = y₂/y₁
K = [9 / 8] / [3/2]
K = 3 / 4
Thus, the required multiplicative rate in the given function is 3 / 4. Option B is correct.
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The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.
Answer:
[tex]17 \le t \le 28[/tex]
Step-by-step explanation:
Given
[tex]t = 22\frac{1}{2}[/tex] --- average time
[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation
Required
The inequality to represent the scenario
To do this, we simply add and subtract the variation from the average time.
i.e.
[tex]t \± \triangle t[/tex]
So, the inequality is:
[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]
Solve:
[tex]17 \le t \le 28[/tex]
F(x)= x^2 . What is g(x)?
help w this questionn ^^
Answer:
BC = 8 cm
Step-by-step explanation:
tan(x) = sin(x)/cos(x)
sin(x) is the opposite side of the angle x.
cos(x) is the side with a right angle to sin(x).
2 = 12/EC
EC = 12/2 = 6 cm
=>
CD = ED - EC = 10 - 6 = 4 cm
now, the same tan(x) relation had to be true for BCD.
tan(x) = BC/CD
2 = BC/4
BC = 8 cm
!!!!!!!!!PLEASE HELP!!!!!!!!
Answer: D
Step-by-step explanation:
We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.
Answer:
option 4
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
Help me please. NO LINKS
Answer:
A. 7986.45
[tex] \frac{4}{3} \pir3[/tex]
easy question but need answer quick!!
Answer:
Step-by-step explanation:
Step 1: Find slope of Linear function A
[tex]slope = \frac{y_2 - y_1}{x_2-x_1} = \frac{-5--1}{-4--2} = \frac{-5 +1}{-4+2} = \frac{-4}{-2} = 2[/tex]
Step 2 : Find slope of B
Since they are perpendicular to each other, product of their slope = -1
That is,
[tex]m_A \times m_B = - 1\\2 \times m_B = -1\\\\slope, m_B = \frac{-1}{2}[/tex]
Given the function passes through (4, -6)
Equation of the linear function :
[tex]x_3 = 4 \ , \ y_3 = -6\\\\(y - y_3) = m_B (x - x_3)\\\\(y - -6) = -\frac{1}{2} (x - 4)\\\\y + 6 = -\frac{1}{2}x + 2\\\\y = -\frac{1}{2}x + 2 - 6 \\\\y = -\frac{1}{2}x -4[/tex]
Part B
Linear Function is parallel to B
Therefore the slope of B and slope of C are the same. And the equation will be of the form :
[tex]y = -\frac{1}{2} x + C[/tex]
Which expression has the largest value? Each has as a factor. A 92 × 38\ \ \frac{9}{2}\ \times\ \frac{3}{8} 2 9 × 8 3 B 1089 × 38\frac{10}{89}\ \times\ \frac{3}{8} 89 10 × 8 3 C 123 × 381\frac{2}{3}\ \times\ \frac{3}{8}1 3 2 × 8 3 D 278 × 382\frac{7}{8}\ \times\ \frac{3}{8}2 8 7 × 8 3
Answer:
if your in high school why you need the answer
Step-by-step explanation:
t f
hi i am a boy that does math at school
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
1) y= 2x
for every 5 x-steps to the right the graph goes up by ten. 10/5 is simplified to 2/1 or just 2
it starts at 0/0, so no need to add and absolute value
2) x: number of days
y: number of vidits (roughly2 per day, but you don't need to write this in the box)
3) 35 days. it's just y=70
and we could write this as
70 = 2*x | devide by 2 on both sides to get x
35 = x
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
63/10, 6.396, 6.99, 7 4/11
Step-by-step explanation:
Convert all to fraction or decimal
PLEASE HELP! What is the value of a?
A 12
B. 15
C. 17:25
D. 21.25
i think b. not sure sorry if im wrong
Can U pls Help Me pls
Answer:
angle x= 60
so it is in the ratio 1:2:√3
√3x=3
ie.x=√3/3
adjacent side=x=√3/4
Step-by-step explanation:
everything can be found in the picture
Im so confused so PLS HHELP !!!!!! ;-;
Answer:
Step-by-step explanation:
let -2/3 be the rational number and 9 be the positive real number
according to the given of indices this tis can be written as
[tex]9^{-2/3}[/tex]
[tex](3)^{2*-2/3}[/tex]
[tex]3^{-4/3}[/tex]
1/3^4/3