Answer: 8.9 units
Step-by-step explanation:
We can use the distance formula for a 2d plane:
distance = √[tex](x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
Plugging in our values for x1, y1, x2, and y2:
x1 = -7
y1 = 0
x2 = -3
y2 = 8
√[tex](-3 - -7)^2 + (8 - 0)^2[/tex]
= √[tex](4)^2 + (8)^2[/tex]
= √[tex]16 + 64[/tex]
= √[tex]80[/tex]
= [tex]8.944271921[/tex]
= 8.9 rounded to the 10th
The walls of a farm silo form a hexagonal prism as shown. What is the volume of the silo?
The volume of the silo is ___
The volume of silo is 4840.22 cubic units.
What is hexagonal prism?
A hexagonal prism is a 3-D figure that has two hexagonal bases that are parallel to each other. A hexagonal prism is a prism with hexagonal base and top. This polyhedron has 8 faces, 18 edges, and 12 vertices. Out of the 8 faces, 6 are rectangles, and 2 are hexagons.
For the given situation,
The silo is in a form a hexagonal prism.
The base edge of the silo, a = 9 ft
The height of the silo, h = 23 ft
The formula of volume of the hexagonal prism is
[tex]V=\frac{3\sqrt{3} }{2}a^{2}h[/tex]
Substitute the above values,
⇒ [tex]V=\frac{3\sqrt{3} }{2}(9^{2})(23)[/tex]
⇒ [tex]V=4840.215[/tex] ≈ [tex]4840.22[/tex]
Hence we can conclude that the volume of silo is 4840.22 cubic units.
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Simplify the expression to a polynomial in standard form: (4x-1)(3x-2)(x+1)
Answer:
12x^3+x^2-9x+2
Step-by-step explanation:
(4x-1)(3x-2)(x+1)
(12x^2-8x-3x+2)(x+1)
(12x^2+(-8x-3x)+2)(x+1)
(12x^2-11x+2)(x+1)
12x^2(x+1)-11x(x+1)+2(x+1)
12x^3+12x^2-11x(x+1)+2(x+1)
12x^3+12x^2-(11x^2+11x)+2(x+1)
12x^3+12x^2-11x^2-11x+2x+2
12x^3+(12x^2-11x^2)+(-11x+2x)+2
12x^3+x^2-9x+2
In a small town of 5,832 people, the mayor wants to determine the proportion of voters who would support an increase to the food tax. An assistant to the mayor decides to survey 1,000 randomly chosen people to construct a 90% confidence interval for the true proportion of people who would support the increase in food tax. Of the sample, 363 people say they would support the increase. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
No, the 10% condition is not met is the answer.
1,000/5,832 is 0.1714, or ~17%, which is more than 10% of the population.
No, the 10% condition is not met.
Ratio:
'Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.'
Proportion:
'A proportion is an equation in which two ratios are set equal to each other.'
According to the given problem,
Total number of people in the town = 5832
Number of people to be surveyed = 1000
Ratio of number of people chosen to the total population = [tex]\frac{1000}{5832}[/tex]
= 0.17
Therefore percentage of people to be surveyed = 0.17 × 100
= 17%, which is more than 10%
Hence, we can conclude that the 10% condition is not met.
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I have tree pizzas. The radius of one pizza is 4 inches. The radius of the second pizza is 8 inches. The radius of the last pizza is 12 inches. If the first pizza can feed 2 people, how many people can the other pizzas feed?
Find the surface area of the figure below
Answer:
Step-by-step explanation:
radius r=16/2=8 in
l=17 in
curved surface=πrl=π×8×17=136 π in²
area of circular base=πr²=π×8²=64 πin²
total surface area=136 π+64 π=200 π in²
AB intersects CD at point E. What is the value of X in degrees?
Answer:
x = 132°
Step-by-step explanation:
∠AED and ∠CEB are both vertical angles. Vertical angles will always be equal to each other, so ∠AED = ∠CEB.
Since they're equal, if ∠AED = 132°, then ∠CEB must also equal 132°.
(∠CEB is the x value you're asking about by the way).
If you have any questions, or anything was confusing, comment them and I'll help you out.
What is the solution to the inequality 7x + 2 < 3x + 1?
Answer choices:
X > -1/10
X < -1/10
X > 3/4
X < 3/4
Answer:
none of the answer above
the answer is X < -1/4
Step-by-step explanation:
7x-3x<1-2
4x<-1
x<-1/4
2. Which value is the same for both box plots? Full Lunch1 À la Carte 80 100 120 140 160 180 200 220 240 260 280 300
Answer: 100
Step-by-step explanation:
please help!! due soon, i’ll give brainliest
Answer:
4
Step-by-step explanation:
an aquarium is in the shape of a cuboid
the depth can be determined from the volume of a cuboid
volume = length x depth x height
11.96 = 2.5 x 1.1 x depth
depth = 11.96 / (2.5 x 1.1 )
depth = 4.3 feet = 4 (to the nearest whole number)
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
What is 5-(-7) I neeed to know
Answer:
5-(-7)
Step-by-step explanation:
It will be positive 12
Answer:
12
Step-by-step explanation:
5 - (-7)
5 + 7
12
A rectangular box has a volume of 15 cubic feet. The length, width, and height of the box are each doubled.
What is the new volume of the rectangular box?
A. 30 cubic feet
B. 60 cubic feet
C. 90 cubic feet
O D. 120 cubic feet
Answer:
it should be D/120
Step-by-step explanation:
An example of the box is:
5 the width
3 the length
1 the height.
That would be 5 x 3 x 1.
To double them, you must multiply each number by 2:
5 x 2 = 10
3 x 2 = 6
1 x 2 = 2.
Now the equation is 10 x 6 x 2.
First multiply 10 x 6 (60).
Then 60 x 2 (120).
120 is the answer
Solve for x and show work.
Answer:
x = -5
Step-by-step explanation:
Angles "50" and "x+55" are alternate interior angles which means that they are the same.
So 50 = x + 55
That leaves you with x = -5
Simplify (2.37x10^8)3
Answer:
( 2 . 3 7 1 0 8 ) 3
Step-by-step explanation:
Help I don't get this
Answer:
i think its 2,4, and 5
Step-by-step explanation:
What are the vertices of triangle ABC'if triangle ABC is dilated by a scale factor of 3?
Answer:
where is the picture
Step-by-step explanation:
I need the triangle to be able to solve this for you
Please help me with 2,3,4,5,6 show me the steps and the answers please
the formula is a^2+b^2=c^2
A and B are the sides doesn't matter which
C is always across from the right angle
so fill x in accordingly
4^2+3^2=x^2
16+9=
25= x^2
square root both 25 and x^2
25 becomes 5
x^2 becomes x
x=5
and just apply this to the other problems
Who do u make 345 cm to *what* m?
Answer:
3.45 m
Step-by-step explanation:
as we know that
1cm=100m
Divide by 100
345/100=3.45 m
Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer.
Erick no es mas alto que andres, oscar es mas bajo que carlos y este no es mas alto que erick. se puede deducir que:
a. Andrés es más alto que Erick
b. Carlos es más alto que Andrés
c. Oscar es más alto que Carlos
d. Oscar es el más bajo de todos
e. Ninguna de las anteriores
Answer:
es la b) Oscar es más bajos que todos
Step-by-step explanation:
espero y te ayude
What is a relative frequency?
Answer:
"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."
Credits To: statistics-made-easy.com › what-is-relative-frequency
3.8n+1=3.6m+1.62 (show the work)
Answer:
M=1.05n-0.172
Step-by-step explanation:
Mr. Nelson sold 14 bags of popcorn and 21 bottles of water in today. At this rate, how many more bottles of water than bags of popcorn will Mr. Nelson sell in 5 days?
Mr. Nelson would sell more bottles than bags of popcorn in 5 days
Answer:
Mr Nelson will sell 115 more bottles of water than popcorn. First, you find the rate of popcorn and water being sold. That will be 147 bags divided by 3 and 216 bottles divided by 3. You get 49 bags and 72 bottles. You subtract those two numbers, 72-49=23. 23 is the number more waters sold than the popcorn. Finally, you multiply 23 by 5 days and you get 115. So it's 115 more waters sold than popcorn.
Step-by-step explanation:
Answer:
21×5 = 105.
14×5=70.
105-70 =35
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
PLEASE HELPP!!I need to pass this please!!im confused
Answer:
b
Step-by-step explanation:
Please help!: Mrs. Carter baked a cake that was in the shape of a rectangular prism. The cake was 24 inches long, 15 inches wide and 3 inches high. She spread frosting on all four sides and the top. How many square inches of frosting did she use?
rectangle base: 24 x 15 = 360
triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches
total: 360 + 90 = 450 inches :)
Marc makes 6 1/4 pounds of granola. He wants to freeze 3/4 of the granola. Which expressions can be used to find the number of pounds he wants to freeze?
Answer:
6 1/4 x 3/4
25/4 x 3/4
Step-by-step explanation:
Marc freezes only a proportion of the pounds of granola, the expression for this proportion can be determined by multiplying the total pounds of granola by the fraction he wants to freeze
6 1/4 x 3/4
25/4 x 3/4
Find the volume of this regular hexagonal pyramid
Answer:
83 is the volume according to my best knowledge and remembrance of Geometry. I hope these calculations help!
Step-by-step explanation:
Since a right triangle is established upon the indication of the right angle marking, and the 50 degree marking is apparent around the one of the legs, the resulting angle of the right triangle unidentified is 40 degrees. Now, the formula is 1/3 × (the area of the base) × (the height), where finding the base area dictates that we apply Area = (3√3 s^2)/ 2, where s = side length, (3√3 (4)^2)/ 2 = 24√3, Substitution Property of Equality: 1/3 * 24√3 * x; find x, "the radius of a hexagon is equal to the length of one side" (mathblog), use the cosine ratio because cosine = adjacent over hypotenuse, cos(50) = 4 (according to the length of side equal radius of hexagon)/x = 6, 1/3 * 24√3 * 6 = 48√3 = 83 is the volume.
Area please I’ll mark brainliest
Answer:
112
Step-by-step explanation:
A = (B1 + B2)(8)/2
A = 28(8)/2
A = 112
112 ur welcome <3
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A cube is dilated by a scale factor of 0.75 to create a new cube. The surface area of the new cube is…
Answer:
9/16 of original cube area
Step-by-step explanation:
surface area = 6 * side²
side length after 0.75 dilated: 3/4 of original side length
surface area after dilated : 6 * (3/4)² / 6 * 1² = 9/16
Simplify.
[tex]\sqrt{289}[/tex] fast plss
Answer:
17 is the answer
Step-by-step explanation:
Since 17 × 17 is 289, the square root of 289 is 17.
so therefor, the answer is 17.