Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.
The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)
- branliest will be appreciated
Thanks
Just solve this for my friend, can u
Simplyfy 192/-168
Answer:
-8/7 is your simplified answer :)
Step-by-step explanation:
Have a nice day <3
A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?
Answer:
156.00
Step-by-step explanation:take away 8% sales tax away from it
A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650
Use the figure below to answer the question. What is the measure of ∠ABC? *
Answer:
D 98°
Step-by-step explanation:
180-82 = 98 or the long way
3x+5 = 180-82
3x = 93
x = 31
3(31) + 5 = 98
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
PLEASE HELP................................!
Answer:
-6 and -4 only
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
C, the graph is increasing when x is between -1 and 2.
Step-by-step explanation:
When it is increasing, it is getting higher up the y axis. The other two lines are going lower down the x axis so they are decreasing. This means that it has to be C.
hope this helps :)
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence
Answer:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent
✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …
If AD is the perpendicular bisector of EB, find each measure.
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
Please help me i have no clue what the answer is :?
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Answer:
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Step-by-step explanation: concept
Answer: Multipulcation
Step-by-step explanation:
The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]
If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
please help again once again 10 POINTS AND 15!
40 cubic units, just count them my guy
you got a chunk of 32 and a chunk that's 8
5(x+8)
Help please!!!!!!!!!!!!!!!!!!
Answer:
5x+40
Step-by-step explanation:
You would distribute 5 to x+8 and that would add up to 5x+40.
Answer:
Step-by-step explanation:
5x+40
Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.
f(x) = -2x2 + 32x - 126
Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
this is what i got -2(x-9)(-7) hope it helps
Step-by-step explanation:
the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
NO LINKS PPLS I WILL GIVE THE CROWN THING ITS WORTH 50 points
Find the length of AC using Pythagorean Theorem.
Answer:
23
Step-by-step explanation:
⚠️URGENT PLEASEEEEE HELP!!!
Find the m
Answer
It is 112
Step-by-step explanation:
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction
Answer:
1/4 or 25%
Step-by-step explanation:
The probability for rolling an odd number is 50% or [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]
The probability for rolling two odd numbers in a row is
[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]
So, the probability of rolling an odd number twice is 25% or [tex]\frac{1}{4}[/tex].
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
ΔRST~ΔUVW. If ST=36 inches, UV=45 inches, and VW=18 inches, what is the length of RS?
Answer:
hi
Step-by-step explanation: