What is the surface area of the regular pyramid given below?
A. 144 units2
B. 352 units2
C. 176 units2
D. 208 units
Answers
Answer:
The surface area of the pyramid is 208 units²
Step-by-step explanation:
Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.
First, the base:
Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.
Second, one of the triangles:
To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...
Finally, add them all together:
Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:
64 + 36 + 36 + 36 + 36
After doing some simplifying, we get our final number, 208.
The surface area of the pyramid is 208 units²
The surface area of the regular pyramid in the diagram is 208 units².
What is the Area of a Pyramid?The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base.
Surface area of the pyramid = 2bh + b²
Where b is the base
and h is the perpendicular height of each triangular faces
In the given diagram,
b = 8
h = 9
∴ Surface area of the pyramid = 2×8×9 + 8²
Surface area of the pyramid = 144 + 64
Surface area of the pyramid = 208 units²
Hence, the surface area of the regular pyramid in the diagram is 208 units².
Learn more on Calculating area of Pyramid here: brainly.com/question/22744289
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Related Questions
* ANSWER ASAP *
This is difficult for me, and i don't get it??
Answers
Answer:
28
Step-by-step explanation:
DI is a radius, which is half of a diameter. CJ is a diameter, so you just double toe radius which is 14, to get 28.
Answer:
28
Step-by-step explanation:
Since DI is 14, then DJ would be the same length, and so would DC. So we add DJ plus DC, which is 14+14. 28 is our answer.
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answers
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
Determine which of the following relations is a function.
A.
X Y
-10 10
-5 5
0 0
5 -5
10 -10
B.
X Y
-3 2
-1 1
0 2
0 1
3 4
C.
X Y
-8 -4
-2 -2
1 3
2 4
4 6
D.
X Y
0 2
1 4
2 2
2 6
5 7
Answers
Answer:
A. X Y
-10 10
-5 5
0 0
5 -5
10 -10
Step-by-step explanation:
Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.
Answer: It’s A and C
Step-by-step explanation:
PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What is the mean of the data set?
Answers
Answer:
10Step-by-step explanation:
Given the following parameters
standard deviation σ = 2.5
z-score Z = 2.4
observed value x = 16
Mean of the dataset μ = ?
Using the formula for calculating the z-score as shown to calculate the mean
[tex]Z = \frac{x - \mu}{\sigma}[/tex]
On substituting the values;
[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]
The mean of the dataset is 10
The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131
Answers
Subtract 1:
131-1 =130
Divide by 2:
130/2 = 65
First number is 65
For the second number take the first number and add the 1 that you originally subtracted:
Second number : 65 + 1 = 66
The numbers are 65 + 66 = 131
evaluate (m/n)(x) for x=-3
Answers
Answer:
(-3m)/n
Step-by-step explanation:
(m/n)(x)
For x = -3,
(m/n)(-3) =
-3(m/n) =
(-3m)/n
Our answer is fully simplified
Answer:
your answer is 1
Step-by-step explanation:
answer on edgen uity
Sofia is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Sofia uses when knitting a scarf?
Answers
Answer:
[tex]5b=2r[/tex]
Step-by-step explanation:
Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn
To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r
Solution:
As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,
number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]
[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]
Therefore,
equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]
Which equation represents the graphed function?
HELP ASAP
Answers
Answer:
The answer is A.
Step-by-step explanation:
Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.
What are angles 3 and 4 called in the diagram below ?
A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles
Please help me with this
Answers
Alternate interior angles.
Answer:
Alternate Interior Angles
Which of the following is a Pythagorean triple?
A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)
Answers
Answer:
A
Step-by-step explanation:
Perhaps you know of the {3, 4 ,5} Pythagorean triple.
Pythagoras stated a² + b² = c²
so checking for A:
a² + b² = c²
5² + 12²
25 + 144 = 169 which is 13²
Only answer A. (5, 12, 13) is a Pythagorean triple.
The others are not.
The correct answer for Pythagorean triple are (5,12,13). The correct option is A.
A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem can be written as:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Check each option:
A. (5, 12, 13)
=[tex]5^{2} +12^{2} \\[/tex]
= [tex]25 + 144[/tex]
= 169
[tex]= 13^{2} \\= 169[/tex]
Since both sides are equal (169 = 169), this is a Pythagorean triple.
B. (1, 1, 2)
[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]
[tex]= 2^{2} \\= 4[/tex]
The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.
C. (3, 4, 6)
[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]
[tex]=6^{2}[/tex]
[tex]= 36[/tex]
The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.
D. (5, 8, 10)
[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]
[tex]= 10^{2} \\= 100[/tex]
The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.
The correct answer is (5,12,13). The correct option is A.
Learn more about Pythagorean triple here:
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To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10
Answers
Answer:
The digit goes to the right of the decimal point
Step-by-step explanation:
If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.
A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)
Answers
Answer:
B. (3, -6)
Step-by-step explanation:
Given line
y= 1/4x + 3
given line is in form of y = mx + c
where m is slope of line and c is y intercept
thus, in line y= 1/4x + 3 m is 1/4 is slope
we know product of slope of two perpendicular line is -1
m1 * m2 = -1
let the line perpendicular to y= 1/4x + 3 be
y = mx + c
thus
m * 1/4 = -1
m = -4
Thus, in y = mx + c , m is -4
updated equation until now by putting value of m as -4
y = -4x + c
this, line passes through point (0,6)
putting x as 0 and y as 6 in y = -4x + c
we have
6 = -4*0 + c
=> c = 6
Thus, equation of perpendicular line is
y = -4x + 6
_______________________________________________
we have to find which point from the option lies on y = -4x + 6
lets plug in value of x from given points and see if value of y calculated is as given in option . if the value is different then point does not lie on perpendicular line
(4, -2)
y = -4*4 + 6
y = -16 + 6 = -10
-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on
y = -4x + 6
(3,-6)
y = -4*3 + 6
y = -12 + 6 = -6
-6 is equal to -6 as given in option, thus point (3,-6 ) does lie on
y = -4x + 6
(0, -6)
y = -4*0 + 6
y = 0 + 6 = 6
6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on
y = -4x + 6
(-2,2)
y = -4*-2 + 6
y = 8 + 6 = 14
14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on
y = -4x + 6
Thus, option B. (3, -6) is the correct choice.
Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these
Answers
Answer:
girl
Step-by-step explanation:
What in the world 3000%
The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A. A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4. The average temperature was 18 for 2 years; 19 for 3 years; 20 for 2 years; 21 for 3 years; 22 for 2 years; 23 for 4 years; 24 for 3 years; 25 for 3 years; 26 for 5 years; 27 for 2 years; 28 for 1 year; 29 for 2 years; 30 for 2 years; 31 for 1 year. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean? 18° 19° 22° 30°
Answers
The temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.
What is the mean and standard deviation of data?The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The graph below in the attached image shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4.
Interval within 1 standard deviation of the mean when the mean is μ and standard deviation σ can be given as,
[tex][\mu-\sigma, \mu+\sigma][/tex]
The mean of the temperatures in the chart is 24°, with a standard deviation of 4°. Put these values,
[tex][\mu-\sigma, \mu+\sigma]\\\ [24-4, 24+4]\\\ [20, 28][/tex]
The temperatures in the options given will be correct, which lies in the above range.
Thus, the temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.
Learn more about the mean here;
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Answer:
C
Step-by-step explanation:
Took the quiz got a 100%
Can someone help please??
Answers
Answer:
BC= 5.87 (nearest hundredth)
Step-by-step explanation:
Please see attached picture for full solution.
How is completing the square for an expression different than completing the square to solve an equation?
Answers
Answer:
Completing includes a change for the extra term has to be subtracted
Where completing the square to an equation will always result in finding what equals zero.
Paul worked for a video streaming company that has two monthly plans to choose from:
Plan 1: A flat rate of $7 per month plus $2.50 per video viewed
Plan 2: $4 per video viewed
Which plan would be the cheapest for Paul if he viewed 5 videos a month? Explain
Answers
Answer: Plan A
Step-by-step explanation:
7 + (2.50x5) = ?
7 + 12.50 = 19.50 therefore plan A = $19.50
Plan B = 5x4 = 20 therefore plan B = $20.00
Suppose that F(x) = xo and G(X) = -2X3. Which statement best compares the
graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
compressed vertically.
Answers
Answer:
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically
Step-by-step explanation:
Given:
F(x) = x³G(x) = -2x³If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).
If we multiply -F(x) by 2, we stretch it vertically.
Simplify the following expression.
(9x+ 2) + 5x
Answers
Answer:
14x+2
Step-by-step explanation:
9x+5x+2
14x+2
Which is the graph of fx=2(3)^x
Answers
Answer:
The graph is attached below. Just google it "plot(2(3)^x)"
Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Answers
Answer:
3.5 is your answer.
Step-by-step explanation:
(7.7x10^-2) divided by (2.2x10^-2
Just *Divide*
Hope this helps.
: )
Find the surface area.
Answers
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
Calculate the slope between the points (5,2) and (1,-6).
Answers
Answer:
2
Step-by-step explanation:
The slope formula is change in y over change in x, in this case it's [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]
Answer:
go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6
Step-by-step explanation:
If the circumference of a circle is below 72 what is the length of AB
Answers
Answer: 12
Step-by-step explanation:
The circle is 360 degrees in total
360/6 = 60
72/6 = 12
PLEASE HELPPPPPPPPPPPPPP!!!!!!!
Answers
5. 10. 15
10. 20. 30
15. 30. 45
20. 40. 50
25. 50. 75
there are 25 red flowers
How do you solve this
Answers
Answer:
3.76 × 10^4
Step-by-step explanation:
1. Work out what they are.
1.26 × 10^4 = 12600 (check your calculator to see if I'm right)
To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.
2.50 × 10^4 = 25,000
By doing the same thing above.
2. Add them together
12,600 + 25,000 = 37,600
3. Change the answer into its scientific notation
To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).
37600 ÷ 10,000 = 3.76
Next:
Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:
3.76 × 10^x what is x?
x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.
(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)
So your final answer is: 3.76 × 10^4
What is the result when the number 15 is decreased by 6%? Round your answer to the nearest tenth.
Answers
Answer:
106.67%
Step-by-step explanation:
Answer:
14.1
Step-by-step explanation:
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answers
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
Can someone please tell me what the slope-intercept equation for this graph is!!!! Braniest and Extra points will be given!!!
Answers
Answer:
see below
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b where m and b are the slope and y-intercept respectively. From the graph we see that b = 11 (because it is halfway between 10 and 12) and m = 3 (see 2 marked points on the graph). Therefore our answer is y = 3x + 11.
I don’t need you to explain just answer.
Answers
Answer:
domain= {-4,2,3,4}
range = {-4,0,2,3}
