The surface area of the square pyramid is: 451 cm²
The lateral surface area of the square pyramid = 330 cm²
What is the Lateral Surface Area and Surface Area of a Square Pyramid?Surface area = a² + 2al, where a is the base edge and l is the slant height.
Lateral Surface Area = 2al.
Given the following:
a = 11 cml = 15 cmSurface area = a² + 2al = 11² + 2(11)(15)
Surface area = 451 cm²
Lateral Surface Area = 2al = 2(11)(15)
Lateral Surface Area = 330 cm²
Learn more about square pyramid on:
https://brainly.com/question/3688277
The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².
Surface area of a pyramidsurface area = A + 1 / 2 ps
where
A = area of the basep = perimeter of the base s = slant heightTherefore,
surface area = 11² + 1 / 2 × (11 × 4) × 15
surface area = 121 + 1 / 2 × 44 × 15
surface area = 121 + 330
surface area = 451 cm²
Lateral area of a square pyramidlateral area = 1 / 2 ps
lateral area = 1 / 2 × 44 × 15
lateral area = 330 cm²
learn more on lateral and surface area here; https://brainly.com/question/23857644
mark spends 14 minutes walking to school 14 and minutes walking home each day. By the end of the school week (5 days), how many hours has mark spent traveling between home and school?
Answer:
140 minutes
Step-by-step explanation:
14 minutes+14 minutes=28 minutes, 28 minutes x 5 days= 140 minutes
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND EXPLAIN WHY THAT IS THE ANSWER. Find the value of X. Then signed the measure of each labeled angle.
X=_____
The two angles sum to equal 180 degrees.
4x + 8x = 180
12x = 180
X = 180/12
X = 15
Answer:
Soln:4x°+8x°=180°
12x°=180°
or,x°=180°/12
or,x°=15
4x°=4×15°=60°
8x°=8×15°=120
HELP ASAP PLEASE THIS IS DUE IN AN HOUR
Note: Enter your answer and show all the steps that you use to solve this problem
The table shows how the number of sit-ups Marla does each day has changed over time
how many sit-ups will she do on Day 12? Explain your steps in solving this problem
day 1 - 17
day 2 - 21
day 3 - 25
day 4 - 29
day 5 - 33
Answer:
keep adding four until u reach day twelve
4) Suppose that rectangle ABCD is dilated to A'B'CD' using the origin as the center and a magnitude of 2
What are the coordinates of C?
A) (8,8)
B) (-8,8)
C) (8,-8)
D) (-8,-8)
Answer: C
Step-by-step explanation: You're Welcome
plsssssssssssss helpppppppppppppppppppp
Answer:
I think that it is C
Step-by-step explanation:
By what percent is 4.5x105 greater than 9x10°?
A) 200%
B) 400%
C) 500%
D) 600%
The answer is C) 500%
40% of the students ordered a year book there were 400 students.how many students ordered a yearbook.
160 students ordered a yearbook.
Step-by-step explanation:
Batman, cross multiply 400×40 then divide by 100 and you get your answer.
Evan drops a ball vertically from a height of 150 ft. The peak height after each bounce is half the previous height. How many feet does the ball travel from the time he drops the ball until it reaches the peak height after the 6th bounce? Show all steps used to find the solution.
Answer:
442.96875 ft.
Step-by-step explanation:
Original Height (h) : 150 ft
Bounce 1 (h₁) : h/2 = 150/2 = 75 ft
Bounce 2 (h₂) : h₁/2 = 75/2 = 37.5 ft
Bounce 3 (h₃) : h₂/2 = 37.5/2 = 18.75 ft
Bounce 4 (h₄) : h₃/2 = 18.75/2 = 9.375 ft
Bounce 5 (h₅) : h₄/2 = 9.375/2 = 4.6875 ft
Bounce 6 (h₆) : h₅/2 = 4.6875/2 = 2.34375 ft
Finding the sum of bounces 1 - 5 :
75 + 37.5 + 18.75 + 9.375 + 4.6875 112.5 + 18.75 + 9.375 + 4.6875131.25 + 9.375 + 4.6875140.625 + 4.6875145.3125 ftDistance traveled :
Original Height + 2 x Sum of Bounces (1 - 5) + Height of 6th bounce150 + 2 x 145.3125 + 2.34375150 + 290.625 + 2.34375440.625 + 2.34375442.96875 ft.
Answer:
442.96875 ft
Step-by-step explanation:
We can model the height of each bounce as a geometric series.
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)
If we let n be the number of bounces, then the initial term has to be:
[tex]a_1=\dfrac12(150)=75[/tex]
since this is the height of the ball after the first bounce.
The common ratio r has already been given to us, as we have been told that the height of the bounce halves after each bounce.
[tex]\implies r=\dfrac12=0.5[/tex]
Therefore, the geometric series to model the peak height of each bounce is:
[tex]a_n=75(0.5)^{n-1}[/tex]
(where [tex]a_n[/tex] is the height and n is the number of bounces)
Therefore, to calculate the total number of feet the ball travels until it reaches the peak height of the 6th bounce:
Total = 150 + (2 × sum of 1, 2, 3, 4 & 5th bounces) + 6th bounce
To find the sum, use the geometric sum formula:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, the sum of the bounces 1 through 5 is:
[tex]\implies S_5=\dfrac{75(1-0.5^5)}{1-0.5}=145.3125[/tex]
Height of the 6th bounce:
[tex]\implies a_6=75(0.5)^{6-1}=2.34375[/tex]
[tex]\begin{aligned}\textsf{Total distance} & =150+2\left(\dfrac{75(1-0.5^5)}{1-0.5}\right)+75(0.5)^{6-1}\\ & = 150 + 2(145.3125)+2.34375\\ & = 150 + 290.625+2.34375\\ & =442.96875\: \sf ft \end{aligned}[/tex]
Question 31 of 46
What is the x-intercept of the logarithmic function below? F(x)=log0.6x
Answer:
Option D. all real numbers.
Step-by-step explanation:
The given function is a logarithmic function represented as
f(x) = log0.6x
In this logarithmic function for any value of x > 0 will be the domain and range of the function will be a set all real numbers.
As for any value of x>0 we get a real number if we rewrite a function in the form of an equation
y = log0.6x
Therefore Range will be (-∞ ∞) {y | y ∈ R}
2) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the mean u.
x. 0. 1. 2. 3. 4
p(x) 0.13. 0.61. 0.15. 0.07. 0.04
The mean of the discrete probability distribution is of 1.28.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Then, considering the given distribution, the mean is given by:
E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.
More can be learned about the mean of a discrete probability distribution at https://brainly.com/question/24855677
You took one-third of an hour to walk home. How many minutes did you walk?
(Hint: An hour has 60 minutes.)
minutes
Answer:
20 minutes
Step-by-step explanation:
60÷3=20
Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins
20 min
Solution:We know that an hour has 60 minutes.In order to find one-third of a hour, we should divide 60 by 3:60÷3=20 min.So if you took one-third of an hour to walk home, you walked for 20 minutes.Hope it helps.
Do comment if you have any query.
Shane has $15,000 property damage insurance and $4,000 comprehensive and collision insurance with a $500 deductible. He slides on ice and hits a parked car, causing $8,500 worth of damage. The accident causes $6,750 of damage to his own car. How much will the insurance pay to fix both cars?
If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.
Insurance coverageUsing this formula
Insurance coverage=Total cost of damages-Deductible
Where:
Total cost of damages=($8,500+$6,750)
Deductible=$500
Let plug in the formula
Insurance coverage=($8,500+$6,750)-$500
Insurance coverage=$15,250-$500
Insurance coverage=$14,750
Therefore the amount that the insurance company will pay to fix both cars is $14,750.
Learn more about insurance coverage here:https://brainly.com/question/11776206
how do you convert a quadratic equation from standard form into factored form?
Step-by-step explanation:
I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.
Let’s take an example. You have x^2+6x+8.
First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.
Step 1:
x^2 * 8= 8x^2
Step 2:
(break the middle term)
x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)
Step 3:
(separate the common terms)
x(x+4)+2(x+4)
(x+2)(x+4)
The graph below represents a function.
Which single transformation could be applied to the graph so that it no longer represents a function?
A. reflection across the x-axis
B. reflection across the y-axis
C. translation 5 units to the left
D. rotation of 90° clockwise about the origin
A New England Journal of Medicine study (November 1986) found that a
substantial portion of acute hospital care is reported to be unnecessary. The physicians who conducted
the study reviewed the medical records of 1,132 patients hospitalized at six different locations across
the country. Overall, 60% of admissions in the sample were judged to be appropriate, 23% were
deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery.
Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.
Amount calculationGiven that a New England Journal of Medicine study found that a substantial portion of acute hospital care is reported to be unnecessary, and the physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country, and overall, 60% of admissions in the sample were judged to be appropriate, 23% were deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery, to determine the number of patients in each group, the following calculation should be made:
1132 x 0.6 = A679.2 = A1132 x 0.23 = I260.36 = I1132 x 0.17 = U192.44 = UThus, some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.
Learn more about amount calculations in https://brainly.com/question/14695611
Answer:Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.
Step-by-step explanation:
A search plane carries radar equipment that can detect metal objects (like submarine periscopes or plane wreckage) on the ocean surface up to 15.5 miles away. If the plane completes a circular flight pattern of 471 miles in circumference, how much area will it search?
The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex] sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units
How are radius and circumference of a circle related?Suppose that a considered circle has:
Circumference = C unitsRadius = r unitsThen, we get:
[tex]C = 2\pi r \: \rm units[/tex]
So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.
That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).
The graph given describes the region of scan.
The blue region's area = Outer circle's area - Internal circle's area
The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:
[tex]471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles[/tex]
The outer circle has the radius = internal circle's radius + diameter of the radar circle = [tex]\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles[/tex]
Thus, we get:
Area of internal circle = [tex]\pi r^2 = \pi \times \left( \dfrac{471}{2\pi} \right)^2 \approx 17,653.56 \: \rm miles ^2[/tex]Area of outer circle = [tex]\pi \times \left( \dfrac{471}{2\pi} + 30 \right )^2 \approx 34610.98 \: \rm miles ^2[/tex]Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²
Net area which is searched by the search plane ≈ 16957.42 miles²
Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.
Learn more about area of a circle here:
https://brainly.com/question/13004063
#SPJ1
Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?
Answer: The larger angle (Angle 2) is 120 degrees
Step-by-step explanation:
Let's call Angle 1 x and call Angle 2 y.
Two angles being supplementary means that they add to 180.
This means x+y=180
Angle 2 is twice the measurement of angle 1.
This means 2x=y and that we can sub 2x in for y
x+2x=180
3x=180
Now solve for x
[tex]3x=180\\\frac{3x}{3} =\frac{180}{3} \\x=60[/tex]
We know the value of x, so now let's sub in to find the value of y
[tex]2x=y\\2(60)=y\\120=y[/tex]
2.) A baker has a bag containing
1344 chocolate chips. If she
wants to make 96 cookies, how
many chips can go in each
one?
Answer:
1344 - 96 = 1248
If you want to check your answer the add 1248 + 96 =1344
How do you find the volume of a sphere? Please use steps to explain.
1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?
4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?
5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?
6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?
7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?
8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?
9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
What you need to do:
Please WRITE both equations for each problem, identify what your variables represent, and solve the system.
I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST -
Don’t answer if you are just going to put a link.
Question no.1:
Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
Solution:
Let the cost of one apple be "y" and the cost of one orange be "x".
Here,
According to question,
8x + 7y = $10.20 5x + 14y = $12.15
=> 5(8x + 7y) = 10.20 × 5 => 8(5x + 14y) = 12.15*8
=> 40x + 35y = 51 -->(i) => 40x + 112y = 97.2-->(ii)
By Elimination method,
Equation (i) - (ii)
(40x + 35y) - (40x + 112y) = 51 - 97.2
=> 40x + 35y - 40x - 112y = - 46.2
=> - 77y = - 46.2
=> y = 46.2/77
=> y = 0.6
Putting the value of "y" in equation (i) we get,
40x + 35y = 51
=> 40x + 35 × 0.6 = 51
=> 40x + 21 = 51
=> 40x = 51 - 21
=> 40x = 30
=> x = 0.75
Therefore the cost of one orange is $0.75 and the cost of one apple is $ 0.6.Question no.2:
Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
Solution:
Let the cost of a small box be "x" and the cost of a large box be "y".
Here,
According to question,
2x + 5y = $31 4x + 7y = $47
4(2x + 5y) = 31 × 4 2(4x + 7y) = 47 × 2
=> 8x + 20y = 124 ->(i) => 8x + 14y = 94 ->(ii)
By Elimination method,
Equation (i) - (ii)
(8x + 20y) - (8x + 14y) = 124 - 94
=> 8x + 20y - 8x - 14y = 30
=> 6y = 30
=> y = 30/6
=> y = 5
Putting the value of "y" in Equation (ii) we get,
8x + 14y = 94
=> 8x + 14 × 5 = 94
=> 8x + 70 = 94
=> 8x = 94 - 70
=> 8x = 24
=> x = 24/8
=> x = 3
Therefore, the cost of a small box is $3 and the cost of a large box is $5.A right cylinder is sliced perpendicular to it's base. What is the shape of the resulting two dimensional cross section?
Jeremy drew a quadrilateral. Each angle in his quadrilateral was congruent to its opposite angle. Which of these could not be the name of Jeremy's quadrilateral?
a. parallelogram
b. rectangle
c. rhombus
d. trapezoid
Answer:
I think it is the rectangle
Step-by-step explanation:
I wish it is really helpful for u
Answer: D. Trapezoid
Step-by-step explanation:
From the question, it tells us that each angle was congruent to its opposite angle, since in a rectangle all angles are 90 degrees, rectangles won’t be correct. Parallelograms is self explanatory. Rhombuses have 2 pairs of same angles, which only leads to a trapezoid with 2 different bases, leading to different angles in it’s opposite corner.
What is the area of the circle 24m
Answer:
[tex]area = \pi {d}^{2} \\ area = \pi {24}^{2} \\ area = 1808.64[/tex]m^2
We want to estimate the mean number of pages per
book in the fiction section of the large school library at a
99% confidence level. A sample of 35 fiction books is
randomly selected and the mean number of pages is
calculated to be 291.8 pages per book with a standard
deviation of 47.6 pages per book
What is the value of the standard error of the mean?
(Round your answer to 3 decimal places.)
SE sub x =
Answer:
so i am sorry but somehow my answer got deleted
Step-by-step explanation:
Answer:2.750
Step-by-step explanation:
Or D
It is possible that a distribution of data may not actually contain one of the measures of central tendency. Which one might that be?
Question 3 options:
Range
Mode
Mean
Median
The measure of central tendency of a distribution of data that can take multiple value is the mode
How to determine the measure of central tendency?In a given dataset;
The range is the difference between the least and the highest data elementThe mean is the average valueThe median is the middle valueAll the above measures can take only one value in a dataset
However, the mode can take multiple values, because it represents the data element with the highest frequency (and multiple data elements can have the same frequency)
Read more about measure of central tendency at:
https://brainly.com/question/17631693
Please help me :) :)))))))
Answer:
ok the owner is 2..a under score 4
Step-by-step explanation:
or 5,244
Define fraction (in your own words)
Think back to the last time you needed to use fractions, for example a ruler or measuring tape. Discuss how you used it.
Explain the steps of adding or subtracting unlike fractions. Using a ruler, measure the heights of two different-size cans of food and show how to calculate the difference in heights
A number that is divided by another, like 1 divided by 2 is one half, it is a fraction of a number.
If m∠M=25∘ and ∠M is translated up 7 units and right 8 units to ∠M′, what is the measure of ∠M′?
Answer: 25∘
Step-by-step explanation: I have the same question and it said 25∘ is right because I don't think the angle changes when you are just moving it a few units up down left or right.
Answer:
25
Step-by-step explanation:
One year, the population of a city was 110,000. Several years later it was 102,300.Find the percent decrease.
Answer:
93%
Step-by-step explanation:
We must divide to solve this :)
102300/110000 = 0.93 x 100 = 93%
Have an amazing day!!
Please rate and mark brainliest!!
my sis needs help asap
Answer:
A. 64.98
Step-by-step explanation:
See the attachment .
_________
Hope it helps ⚜