Find the surface area of a pyramid (which has 4 triangular sides and 1 square base) that has triangular height of 6 feet and base length of 4 feet.
Answers
The surface area of the pyramid is 64 square feet.
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
To find the surface area of the pyramid, we need to find the area of each face and add them together.
First, let's find the area of the base, which is a square with side length 4 feet:
Area of base = 4 feet x 4 feet = 16 square feet
Next, we need to find the area of each triangular face. We know that the height of each triangular face is 6 feet, and the base of each triangular face is one of the sides of the square base, which is 4 feet. To find the area of a triangle, we use the formula:
Area of triangle = 1/2 x base x height
Area of each triangular face = 1/2 x 4 feet x 6 feet = 12 square feet
There are 4 triangular faces, so the total area of all the triangular faces is:
Total area of triangular faces = 4 x 12 square feet = 48 square feet
Now we can find the total surface area by adding the area of the base and the area of the triangular faces:
Total surface area = area of base + area of triangular faces
Total surface area = 16 square feet + 48 square feet
Total surface area = 64 square feet
Therefore, the surface area of the pyramid is 64 square feet.
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Related Questions
Jack has a summer job caddying at a golf course. Jack earns $120
a week. By rounding his weekly income to the nearest hundred
dollars, find a reasonable estimate for his total income during the
12 week summer.
A) $700
B) $800
C) $1200
D) $1700
Answers
HELP WILL GIVE BRAINLEST!!
Answers
Slope of line SP: -1
Slope of line FJ: -1
Point-Slope Form of Line FJ: \(y=-x-6\)
What to type inside the orange box? You must type "-x-6".
Step-by-step explanation:
Concept. A parallel line to line SP. A parallel line is a line that has the same slope as another line, therefore, the line parallel to SP has the same slope of SP.
Let's solve!
1. Find the slope of line SP.
Line SP's expression is: \(y=-x-14\).
The slope of a linear function is always given by the coefficient of x when the equation is solved for y. Hence, the slope of line SP is -1, because x is being multiplied by -1.
2. Form the equation for line FJ.
Use the formula for finding linear equations: \(y-y_{1} =m(x-x_{1} )\), where m is the slope of the line, \(x_{1}\) is the x value of a point where the line passes, and \(y_{1}\) is the y value of a point where the line passes. \(x_1\) and \(y_1\) must be taken from a single point where the function passes.
Let's take the formula and find the equation for line FJ:
a. Substitute in the formula.
\(y-(0) =(-1)(x-(-6) )\)
b. Simplify.
\(y-(0) =(-1)(x-(-6) )\\ \\y=(-1)(x+6)\\ \\y=-x-6\)
3. Express your answers.
Slope of line SP: -1
Slope of line FJ: -1
Point-Slope Form of Line FJ: \(y=-x-6\)
PLEASE ANSWER ASAP. GIVING BRAINLIEST
Answers
Answer:
600
Step-by-step explanation:
a) Imagine that you need to create a scale drawing of this sign. The scale drawing will
be used to create a mold that will be used to manufacture the sign. Use the grid to
make a scale drawing of this sign. Include a key to show the relationship between
the dimensions in the scale drawing and the dimensions of the actual sign. Label all
sides in the scale drawing. Show your work. (3 points)
Answers
Answer:
A=b/2
Step-by-step explanation:
you're simplifying both ends of an equation.
Answer:
A scale drawing with a 1: 0,8 scale will have sides that measure 2.24, 1.6, and 3.2.
Step-by-step explanation:
A scale drawing refers to a drawing that has been made bigger or smaller but preserves the proportions of a drawing.
How to make the scale drawing of the sign?
The first step is to decide the scale. In this case, the best scale is 1:0.8, which means the new drawing is 0.2 smaller. This scale is ideal because this sign is slightly bigger than regular signs.
Draw the sign by multiplying each side by the scale (0,8).
Find the value of xx and yy in the parallelogram below.
Answers
Answer:
Step-by-step explanation:
If the shape is a parallelogram, that means the two parallel sides are equal in length so, we get the equation:
\(3x-4 =65\\y-4 = 91\\\)
After solving for x and y, we get that
x = 23 and y = 95
Hope that helps!
Opposite sides of ap parallelogram are parallel and equal
y-4=91y=95And
3x-4=653x=69x=23A plane traveling at 300 mph is flying with a bearing of 30°. There is a wind of 50 mph from the south. If no correction is made for the wind, what are the final bearing and ground speed of the plane?
Answers
The final bearing and ground speed of the plane are 21.05° and 278.39 mph respectively.
Since the plane is traveling at 300 mph flying with a bearing of 30°, it will have both horizontal and vertical components of velocity.
The vertical component of velocity v = 300sin30° = 300 × 0.5 = (150 mph)j and the horizontal component v' = 300cos30° = 300 × 0.8660 = (259.81 mph)i.
Now, since the wind blows 50 mph south, its direction is in the negative y direction. So, v" = -(50 mph)j in the y direction
So, the plane's ground velocity = velocity of plane + velocity of wind
Now, the vertical component of the plane's ground speed V = vertical component of velocity of plane + velocity of wind
= (150 mph)j + (- 50 mph)j
= (150 mph)j - (50 mph)j
= (100 mph)j
The horizontal component of the velocity of the plane's ground speed V' equals the horizontal component of the velocity of the plane.
V' = (259.81 mph)i
So, the plane's ground speed V" = resultant of V and V'
= √(V² + V'²)
= √(100² + 259.81²)
= √(10000 + 67501.2361)
= √77501.2361
= 278.39 mph
The plane's bearing relative to the ground is Ф = tan⁻¹(V/V')
= tan⁻¹(100/259.81)
= tan⁻¹(0.3849)
= 21.05°
So, the final bearing and ground speed of the plane are 21.05° and 278.39 mph respectively.
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We are required to find the final bearing and ground speed of the plane
The final bearing of the plane is : π = 37.59°
And, the final ground speed, Vfinal = 327.87mph.
The plane travelling at 300mph with a bearing of 30° (with the horizontal).....
Therefore, the horizontal component of the plane's speed = Vx = VCos30°
And, the vertical component of the plane's speed = Vy = VSin30°
Therefore, Vx = 300× 0.866 = 259.8mph
And, Vy = 300× 0.5 = 150mph
If there's a wind Vw = 50mph from the south, this means the wind is going In the positive y direction.
Therefore, the total horizontal component of the speed, Vyy is the algebraic sum of Vy and Vw.
Vyy = (150 + 50) mph.
Therefore, the final bearing of the plane is π = (tan⁻¹ Vyy/Vx)
π = (tan⁻¹ 200/259.8)
π = 37.59°
And the final ground speed, Vfinal = √(200² + 259.8²)
Therefore, the final ground speed, Vfinal = 327.87mph.
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Estimate the sum of 379+409=
Answers
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
can someone help me with number 10 and 11 pls
Answers
Answer:
C and D
Step-by-step explanation:
You multiply the first two numbers and add the exponents of the second two while keeping the base number. I'm 99.9% sure. I hope this helps!
Find all of the points of the form (x, −x) which are 7 units from the origin.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Answers
Answer:
(-7, 0) and (7, 0)Step-by-step explanation:
All the points that are 7 units from the origin are on the circle:
x² + y² = 7²The maximum and minimum values of x obtained when y = 0:
x² = 7² √x² = √7²x = ± 7So
min x = -7 and max x = 7The points are:
(-7, 0) and (7, 0)The equation will be
\(\\ \sf\longmapsto \sqrt{x^2+y^2}=7\)
\(\\ \sf\longmapsto x^2+y^2=7\)
If y be 0\(\\ \sf\longmapsto x^2+0=7^2\)
\(\\ \sf\longmapsto x^2=49\)
\(\\ \sf\longmapsto x=\sqrt{49}\)
\(\\ \sf\longmapsto x=\pm 7\)
Now the points are
(7,0)(-7,0)helppppppp pleassssseeeeee
Answers
Answer:
First blank is 4, second blank is 0
Step-by-step explanation:
divide it :)
Answer:
Yellow box #1=0
Yellow box #1=4
Step-by-step explanation:
Seven times the smaller
of two consectative even
integers
is the same as
-300 minus 4 times the
largor integer. Find the integers
Answers
Given:
Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.
To find:
The integers .
Solution:
Let the smaller even integer be x.
So, larger even integer is x+2 because they are consecutive even integers.
Seven times the smaller integer = 7x
-300 minus 4 times the larger integer = -300-4(x+2)
Now,
\(7x=-300-4(x+2)\)
\(7x=-300-4x-8\)
\(7x+4x=-308\)
\(11x=-308\)
Divide both sides by 11.
\(x=\dfrac{-308}{11}\)
\(x=-28\)
So, the smaller even integer is -28.
\(x+2=-28+2=-26\)
So, the larger even integer is -26.
statistical methods are classified into two major categories: descriptive and inferential. describe the general purpose for the statistical methods in each category. descriptive statistics are generally used for which of the following? check all that apply.
Answers
Statistical methods are the processes of collecting, presenting, analyzing data, and drawing conclusions.
These methods are divided into two groups: descriptive statistics and inferential statistics.
The scope of descriptive statistics includes distributions of random and random variables, discrete and continuous random variables. For inference statistics, including statistical inference from one or two populations, analysis of variance, regression analysis, and analysis of categorical data from both random and normal populations.
Why study statistical methodsStatistical techniques include many ways to collect, present, analyze, and draw conclusions from data. By considering these methods, you can choose which method to use according to the characteristics of your data.
Choosing the right method leads to drawing the right conclusions.
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HELP PLEASE I BEG U
A motorcycle rental agency uses the formula shown to calculate the price to rent a motorcycle for one day, where P is the price, and m is the number of miles driven
P(m) = 45 +0.15m
The domain of this equation is m >0. Why is this the case?
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
B.The price to rent the motorcycle will always be greater than or equal to zero.
C.The domain of any linear function with a decimal slope is never zero.
D.This is incorrect. The domain of any linear function is all real numbers and is not dependent on context.
Answers
9514 1404 393
Answer:
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
Step-by-step explanation:
The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.
__
In real life, the domain is likely non-negative integers.
Given the function f(a) = 5a + 14, solve for f(a) = 0.
Give an exact answer; do not round.
Answers
Answer:
a = 14
Step-by-step explanation:
Step 1: Write out your problem
f (a) = 5a + 14 | f (a) = 0
Step 2: Solve
f (a) = 5 (0) + 14 , Input a.
f (a) = 0 + 14 , 5 x 0 = 0
(a) = 14 , 0 + 14
a = 14
f(a)=5a+14
so basically y=5x+14 and x=0
plug in 0 for your x
y=0
A 10 meter ladder is leaned up against a building. If
the angle of elevation is 60 degrees, what is the
height of the building?
Answers
Answer:
8.7
Step-by-step explanation:
Use trigonometry. The ladder and the building form a right triangle with the ground. You are given the length of the hypotenuse and the base angle. You use sine since we are trying to figure out the opposite side from the angle and we have the hypotenuse length. Sin = opposite/hypotenuse. So in this case, sin 60°= x/10. We solve for x by multiplying both sides by 10. Now x= sin 60° (10) = (0.8660)(10) = 8.7 m.
Use the sample data and confidence level given below to complete parts (a) through (d)A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1047 and x = 545 whosaid "yes." Use a 95% confidence level.A. find the best point of estimate of the population of portion p.B. Identify the value of the margin of error E. (E= round to four decimal places as needed.)C. Construct the confidence interval. (
Answers
a. The best point of estimate of the population of portion p is given by the formula:
\(p^{\prime}=\frac{x}{n}\)where x is the number of successes x=545 and n is the sample n=1047.
Replace these values in the formula and find p:
\(p^{\prime}=\frac{545}{1047}=0.521\)b. The value of the margin of error E is given by the following formula:
\(E=(z_{\alpha/2})\cdot(\sqrt[]{\frac{p^{\prime}q^{\prime}}{n}})\)Where z is the z-score at the alfa divided by 2, q'=1-p'.
As the confidence level is 95%=0.95, then alfa is 1-0.95=0.05, and alfa/2=0.025
The z-score at 0.025 is 1.96.
Replace the known values in the formula and solve for E:
\(\begin{gathered} E=1.96\cdot\sqrt[]{\frac{0.521\cdot(1-0.521)}{1047}} \\ E=1.96\cdot\sqrt[]{\frac{0.521\cdot0.479}{1047}} \\ E=1.96\cdot\sqrt[]{\frac{0.2496}{1047}} \\ E=1.96\cdot\sqrt[]{0.0002} \\ E=1.96\cdot0.0154 \\ E=0.0303 \end{gathered}\)c. The confidence interval is then:
\(\begin{gathered} (p^{\prime}-E,p^{\prime}+E)=(0.521-0.0303,0.521+0.0303) \\ \text{Confidence interval=}(0.490,0.551) \end{gathered}\)d. We estimate with a 95% confidence that between 49% and 55.1% of the people felt vulnerable to identity theft.
Please help! I’ll give Brainlist
Answers
Answer:
answer 4
Step-by-step explanation:
Casey’s lunch balance is -$1.50. She charges $2.50 a day for four days. What is her lunch account balance at the end of the four days?
Answers
Answer: -11.50
Step-by-step explanation:
the data set shows the number of passengers on the flights leaving the columbus airport in the next hour. what is the median number of passengers on the flights? round answer to tenths place. if answer is a whole number then put a zero in your answer for the tenths place for it to be counted correct 39, 48. 25, 25, 53, 22, 70, 36
Answers
After rounding off the median of the given data would be 38.
What is the median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.
It could be referred to as "the middle" value for a data set.
The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.
So, calculate as follows:
22, 25, 25, 36, 39, 48, 53, 70
TErms are even: Average of two middle terms to get median.
Median = 36 + 39/2
Median = 37.5
Rounding off: 38
Therefore, after rounding off the median of the given data would be 38.
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Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18
Answers
B has the mode of 7
Answer:
its a.
Step-by-step explanation:
2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
Answers
answer: 9
Step-by-step explanation:
x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9
A dog is starting a diet to get in better shape. The
dog starts at 89.5 pounds and loses 0.5 pounds
each week for a certain number of weeks. Halfway
through the diet, the dog weighs 80 pounds. How
many weeks has the dog been dieting for?
Answers
Answer:
18.5 days
Step-by-step explanation:
Count by two's on your fingers until you have nine fingers up, and that equals 9 x 2 = 18, plus that .5 eqauls 18.5 days.
The dog has been dieting for 19 weeks.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given problem,
Starting weight of the dog = 89.5 pounds
Halfway weight of the dog = 80 pounds
Weight the dog loses per week = 0.5 pounds
Weight loss = (89.5 - 80) pounds
= 9.5 pounds
If the dog loses 0.5 pounds in 1 week,
Then the dog will lose 9.5 pounds in (9.5 × 2) weeks
⇒ The dog will lose 9.5 pounds in 19 weeks.
Hence, we can conclude that the dog has week dieting for 19 weeks and lost 9.5 pounds.
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Dora has to pick a number between 400 and 500 Dora is thinking of a number between 500 and 600. When she divides it by a 1 digit number it has a remainder of 4. What could be Dora’s number
Answers
Given:
When Dora divides the number between 500 and 600 by a 1 digit number gives the remainder 4.
Let x be the one-digit number that divides the number between 500 and 600. It gives the remainder 4.
\(\begin{gathered} 500+(10\times n)+i \\ n=0,1,2,..\ldots\text{.}.9 \\ \text{For i=4,9} \end{gathered}\)It gives the remainder 4.
Therefore,
\(\begin{gathered} 500+10n+4\text{ and 500+10n+9 divided by 5 will give the remainder 4} \\ n=0,1,2,\ldots9 \end{gathered}\)Answer:
\(\begin{gathered} 504+10n \\ 509+10n \\ n=0,1,2,\ldots.9 \\ \text{Divided by 5} \end{gathered}\)PLEASE HELP!!!!!!!!!!!!!
Answers
Hope this helps!
is (85.76%) an C or B
Answers
Answer:
It is B.
Step-by-step explanation:
A C is anything between 73-76 %, while a B is anything between 83-86 %
f(x)=2+|x-3| for all x than the value of the derivative of x=3 is
Answers
The derivative at x = 3 does not exist.
To see why, recall the definition of absolute value:
\(|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}\)
If x - 3 ≥ 0, then
2 + |x - 3| = 2 + (x - 3) = x - 1
and the derivative of this piece is 1 for all x > 3.
If x - 3 < 0, then
2 + |x - 3| = 2 - (x - 3) = 5 - x
and its derivative is -1 for all x < 3.
The derivatives to either side of x = 3 are not the same, so f '(x) is not continuous and indeed does not take on any value at this point.
How do you write 36.42 as a mixed number
Answers
so as a mixed number it would be 36 21/50
Z=7f/r+4 , solve for r
Answers
Answer:
7f
r = ----------- - 4
z
Step-by-step explanation:
I will assume that you meant:
7f
z = ------------
r + 4
Solve for r. Start by interchanging z and (r + 4):
7f
r + 4 = -----------
z
Now subtract 4 from both sides. This isolates r:
7f
r = ----------- - 4
z
3(x+1)=5(x−2)+7
solve for x
Answers
3(3+1)=12
5(3-2)+7=12
system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12) Mark this and return
Answers
The solution of the system of equations is (8, 11).
What is the solution of the system of equations?We know that one of the equations of the system is:
y = x + 3
And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:
a = (3 - 1)/(4 - 3) = 2
So the line is something like:
y = 2*x + b
To find the value of b, the y-intercept, we can replace the values of one of the points.
I will use (3, 1)
1 = 2*3 + b
1 = 6 + b
1 - 6 = b
-5 = b
So the other line is y = 2x - 5
Then the system of equations is:
y = x + 3
y = 2x - 5
Now we can solve the system:
x + 3 =2x - 5
3 + 5 = 2x -x
8 =x
The x-value of the solution is 8, then the only option that can be correct is.
(8, 11)
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