The slant height of the Teepee is 32.76 feet.
The square footage of one of the rooms is 44 square feet.
How to find the slant height of the Teepee?Check the attached for the sketch of the cone. From the image, the slant height is labelled l. Note that the base diameter is 14 feet, so the base radius will be 7 feet.
(a) Thus, the slant height can be found by considering one of the right triangles in the cone. That is:
l² = 32² + 7² (Pythagoras Theorem)
l² = 1024 + 49
l = √1073
l = 32.76 feet
(b) The shape of base is a circle.
Area of circle = πd
where d is the base diameter
Area of circle = 22/7 * 14
Area of circle = 44 square feet
Thus, the square footage of one of the rooms is 44 square feet
Learn more about area on:
brainly.com/question/22972014
#SPJ1
find the area of this figure
Answer:
170 in²
Step-by-step explanation:
This trapezoid is broken up into two shapes: a triangle and a parallelogram.
The formula for area of a triangle is b (base) × h(height) ÷ 2.
The base of the triangle is 4 and the height is 10.
b (base) × h(height) ÷ 2
10 × 14 ÷ 2 = 70
-------------------------------------------------------------------------------------------------------------
The formula for area of a parallelogram is b (base) × h(height).
The base of the parallelogram is 10 and the is 10 as well.
b (base) × h(height)
10 × 10 = 100.
-------------------------------------------------------------------------------------------------------------
Lastly, add both areas.
100 + 70 = 170
Therefore, the area of this figure is 170 in².
The mean temperature of 10 cups of coffee is 89.6°C. The mean temperature of a different collection of 20 cups of coffee is 92.1 °C. What is the mean temperature of all 30 cups of coffee?
Answer:
91.3 degrees celsius
Step-by-step explanation:
Here, we want to calculate the mean temperature of the 30 cups
From what we have here, if we multiplied the mean by the count of cups, we have the total
That means, we have the total temperature of all as;
(10 * 89.6) + (20 * 92.1) = 2,738
So to get the temperature of the thirty, we divide this by 30 as follows;
2,738/30 = 91.3
Someone please help meee
(1, -4)
You could just count the units
Are the following triangles Similar? State why or why not. *
Answer:
the answer is 56
Step-by-step explanation:
because i siad so
Solve for x.
Please help me.
a293-1
Evaluate each equation
Answer:
.2 ÷ ( 3-4)2/(3-4)2/-1= -2Answer:
lol
Step-by-step explanation:
Select the correct answer.
Write (21 − 4i) − (16 + 7i) + 28i as a complex number in standard form.
A.
5 + 39i
B.
5 + 17i
C.
5 − 39i
D.
5 − 17i
Answer:
B) 5 + 17i is your answer.
Step-by-step explanation:
In order to write this equation as a complex number in standard form, you must first simplify each term.
Apple the distributive property.
21 - 4i - 1 * 16 - (7i) + 28i
Multiply -1 by 16.
21 - 4i -16 - (7i) + 28i
Multiply 7 by -1.
21 - 4i - 16 - 7i + 28i
Now simplify by adding terms :)
Subtract 16 from 21.
5 - 4i - 7i + 28i
Subtract 7i from -4i.
5 - 11i + 28i
Add -11i and 28i.
= 5 + 17i
How far apart are parallel lines m and n such that T0, -123(AXYZ) = (R, Rm) (AXYZ)?
Parallel lines m and n are
units apart.
A reflection about a line gives an image that is at an equal distance from the line but on the opposite (other) side of the line
The distance between the lines m and n is 6 units
Reason:
The given parameters are;
\(T_{<0, -12>}\Delta(XYZ) = (R_n \circ R_m) \Delta (XYZ)\)
Let Y represent the top vertex of Δ(XYZ), and the coordinates of point Y is (3, 0) we have;
The coordinates of Y following \(T_{<0, -12>}\) is Y''(3, -12)
A reflection of Y across the line m, y = -9, gives the coordinates of the image at Y'(3, -18)
A reflection of the image Y'(3, -18) across the line n, y = -15, gives the image at Y''(3, -12)
The distance between lines m, and line n, is -9 - (-15) = 6
Generally, the difference between two lines of reflection, n, and m, following a composite reflection is 2×(n - m)
Given that the total transformation is -12, we have;
2×(n - m) = -12
Therefore;
\((n - m) = \dfrac{-12}{2} = -6\)
Which gives;
m - n = 6
The distance between the two lines = 6 units
Learn more about reflection about a line here;
https://brainly.com/question/15339549
How do you divide fractions with a whole number for dummies?
Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.
For instance, to multiply 3/4 by 2:
Put 2 over 1, making it 2/1, to make it a fraction.
To get 1/2, invert 2/1.
To get 3/8, multiply 3/4 by 1/2.
Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.
Hence, 1/4 is equivalent to 3/4 when divided by 2.
Learn more about fractions at
https://brainly.com/question/10354322
#SPJ4
i need someones help with this question
Find the standard deviation for each data set. Use the standard deviations to compare the pair of data sets.
fastest recorded speeds of various large wild cats (miles per hour):
65 40 25 45 40 35 35 50 20
fasted recorded speeds of various birds in flight (miles per hour):
219 104 96 57 67 38 50 31 51 25 30 25
Answer:
Step-by-step explanation:
you didn't really specificy so i will just calculate the sample standard deviations. if it says that the standard deviations are wrong or you were supposed to use the population standard deviation formulas then the answers will be slightly different
sqrrt(sum(x-avg)^2)/(n-1)
average for wildcats
(65+40+25+45+40+35+35+50+20)/9= 39.4444444444
\(\sqrt{(65-39.4444)^2+(40-39.4444)^2+(25-39.4444)^2+(45-39.4444)^2...\\$\\\sqrt{1422.2222222222222/8}= 13.3333333333333\)
Average for birds
(219+104+96+57+67+38+50+31+51+25+30+25)/12= 66.083333
stdev= 54.75807675
The standard deviation for birds is much higher compared to the wildcats. This means that birds the speed at which birds are able to fly varies a lot from bird to bird.
The solution of the equation 2x+4=3x-62x+4=3x−6 is x =
3/2 (x-5) - 3/2 = 9/2 x solve and verify
Answer:
x = -2
Step-by-step explanation:
3/2 (x-5) - 3/2 = 9x/2
3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator
are 2 so we can multiply all term by 2
2(3x/2 - 15/2 - 3/2 = 9x/2)
3x - 15 - 3 = 9x ... simplify it
3x - 12 = 9x
-12 = 9x - 3x ... take 3x to the left
-12 = 6x ... simplify
6x/6 = -12/6 ... dividing both side by 6
x = -2 ... simplify and solve x
i need help please? thank you :)
\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
\(\qquad \sf \dashrightarrow \: \cfrac{ {z}^{2} - 14z + 48 }{ {z}^{2} + 6x - 27} ÷ \cfrac{z -8}{z-3} \)
\(\qquad \sf \dashrightarrow \: \cfrac{ {z}^{2} - 8z - 6z+ 48 }{ {z}^{2} + 9z- 3z- 27} ÷ \cfrac{z -8}{z-3} \)
\(\qquad \sf \dashrightarrow \: \cfrac{ {z(}^{} z- 8) - 6(z - 8) }{ {z}^{} (z+ 9)- 3(z + 9)} ÷ \cfrac{z -8}{z-3} \)
\(\qquad \sf \dashrightarrow \: \cfrac{ {(}^{} z- 8) (z - 6) }{ {}^{} (z+ 9)(z - 3)} ÷ \cfrac{z -8}{z-3} \)
\(\qquad \sf \dashrightarrow \: \cfrac{ (z - 6) }{ {}^{} (z+ 9)}\)
Break into two parts and simplify
\(\\ \rm\dashrightarrow \dfrac{z^2-14z+48}{z^2+6z-27}\)
\(\\ \rm\dashrightarrow \dfrac{z^2-8z-6z+48}{z^2+9z-3z-27}\)
\(\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)}{(z+9)(z-3)}\)
Now divide by the denominator
\(\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)(z-3)}{(z+9)(z-3)(z-8)}\)
\(\\ \rm\dashrightarrow \dfrac{z-6}{z+9}\)
please help me i really need it
Answer:
Step-by-step explanation:
The legs of a right triangle have lengths of 10 cm and 13 cm. What is the length of the
hypotenuse?
A) 3cm
B) √69 cm
C) √269 cm
D) 23 cm
Answer:
C
Step-by-step explanation:
describe what is measured by the estimated standard error in the bottom of the independent-measures t statistic.
Estimated standard error in the bottom of the independent-measures t statistic is a measure of the variability of the sample means.
When the same experiment were repeated many times then estimated standard error help us to find the amount of variability.
Specifically, it measures the standard deviation of the sampling distribution of the mean differences between two independent groups.
When we conduct a t-test to compare the means of two independent groups.
Use the estimated standard error to determine the amount of variability.
Expect to see in the means of those groups if we repeated the experiment many times.
The larger the estimated standard error, the more variability would expect to see in the means.
And the less confidence can have in our conclusion about whether the means of the two groups are significantly different from each other.
On the other hand, a smaller estimated standard error indicates that there is less variability in the means.
And can be more confident in our conclusion about the difference between the two groups.
learn more about standard error here
brainly.com/question/30451314
#SPJ4
10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
Know more about probability at:
https://brainly.com/question/24756209
#SPJ4
help 4. Analysis and Making Production Decisions a) On Monday, you have a single request: Order A for 15,000 units. It must be fulfilled by a single factory. To which factory do you send the order? Explain your decision. Support your argument with numbers. b) On Tuesday, you have two orders. You may send each order to a separate factory OR both to the same factory. If they are both sent to be fulfilled by a single factory, you must use the total of the two orders to find that factory’s cost per unit for production on this day. Remember that the goal is to end the day with the lowest cost per unit to produce the company’s products. Order B is 7,000 units, and Order C is 30,000 units. c) Compare the two options. Decide how you will send the orders out, and document your decision by completing the daily production report below.
A) we would send Order A to Factory 3.
B) we would send both Order B and Order C to Factory 3.
B 7,000 Factory 3
C 30,000 Factory 3
Total number of units produced for the company today: 37,000
Average cost per unit for all production today: $9.00
To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.
a) Monday: Order A for 15,000 units
To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.
Let's assume the costs per unit for each factory are as follows:
Factory 1: $10 per unit
Factory 2: $12 per unit
Factory 3: $9 per unit
To calculate the total cost for each factory, we multiply the cost per unit by the number of units:
Factory 1: $10 * 15,000 = $150,000
Factory 2: $12 * 15,000 = $180,000
Factory 3: $9 * 15,000 = $135,000
Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.
b) Tuesday: Order B for 7,000 units and Order C for 30,000 units
We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.
Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:
Option 1: Sending orders to separate factories
For Order B (7,000 units):
Average cost per unit = ($10 * 7,000) / 7,000 = $10
For Order C (30,000 units):
Average cost per unit = ($9 * 30,000) / 30,000 = $9
Total number of units produced for the company today = 7,000 + 30,000 = 37,000
Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)
Option 2: Sending both orders to the same factory (Factory 3)
For Orders B and C (37,000 units):
Average cost per unit = ($9 * 37,000) / 37,000 = $9
Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.
Production Report for Tuesday:
Order # of Units Factory
B 7,000 Factory 3
C 30,000 Factory 3
Total number of units produced for the company today: 37,000
Average cost per unit for all production today: $9.00
for more such question on production visit
https://brainly.com/question/31135471
#SPJ8
how many 5 letter words can be formed from the letters of the word formulated that have 3 consonants and 2 vowels?
There are 36 '5' letter words that can be formed from the letters of "formulated" with 2 vowels, 3 consonants, and a vowel at the end.
Here, we have,
The word "formulated" has 4 vowels and 6 consonants. If each 5 letter word must contain 2 vowels and end with a vowel, there are two options for the last letter, "e" or "a". To form a 5 letter word with 2 vowels and 3 consonants, we need to choose 2 vowels from the 4 vowels in "formulated" and 3 consonants from the 6 consonants in "formulated". The order of the chosen letters does not matter, as we will arrange them later.
Thus, we can use the combination formula to find the number of ways to choose the vowels and consonants: C(4, 2) * C(6, 3) = 6 * 20 = 120.
Finally, we need to arrange these 5 letters in a specific order: consonant-consonant-vowel-consonant-vowel.
There are 3 choices for the first consonant, 2 choices for the second consonant (since it cannot be the same as the first), 2 choices for the vowel (either "e" or "a"), 3 choices for the third consonant (since it cannot be the same as the first or second), and 1 choice for the final vowel.
Thus, the total number of 5 letter words that can be formed from the letters of "formulated" with 2 vowels, 3 consonants, and a vowel at the end is 3 * 2 * 2 * 3 * 1 = 36.
Learn more about combination here:
brainly.com/question/29594894
#SPJ12
how many ways are there to select 8 countries in the united nations to serve on a council if 3 is selected from a block of 52, 2 are selected from a block of 64 and 3 are selected from the remaining 73 countries?
Number of ways to select 8 countries from the United Nations is 48,054,722,400
To solve this problem, we need to use the combination method, which states that if there are m ways to perform one task and n ways to perform another task after the first task is completed, then there are m x n ways to perform both tasks in sequence.
Using this principle, we can break down the selection of 8 countries into three separate tasks
Selecting 3 countries from a block of 52: There are 52C3 ways to do this, where 52C3 is the binomial coefficient "52 choose 3," which can be calculated as follows
52C3 = (52 x 51 x 50) / (3 x 2 x 1) = 22,100
Selecting 2 countries from a block of 64: There are 64C2 ways to do this, where 64C2 is the binomial coefficient "64 choose 2," which can be calculated as follows
64C2 = (64 x 63) / (2 x 1) = 2,016
Selecting 3 countries from a block of 73: There are 73C3 ways to do this, where 73C3 is the binomial coefficient "73 choose 3," which can be calculated as follows
73C3 = (73 x 72 x 71) / (3 x 2 x 1) = 1,082,790
To find the total number of ways to select 8 countries, we simply multiply these three quantities together
22,100 x 2,016 x 1,082,790 = 48,054,722,400
Learn more about combination here
brainly.com/question/28720645
#SPJ4
I have never understood these. Help.
Answer:
5 sqrt(5)
Step-by-step explanation:
sqrt(125)
sqrt( 25*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(25) sqrt(5)
5 sqrt(5)
Answer:
5√(5)
Step-by-step explanation:
Notice that 125 is 25×5
If you couldn't do it use the prime factorization.
Prime numbers are 2,3,5.....
125 isn't divisible by 2 and 3 so we'll go with 5.
● 125 ÷ 5 = 25
Againg 25 is divisible by 5
● 25÷5 = 5
5 is divisible by 5
● 5÷5=1
So 125= 5×5×5 = 5^2 × 5
● √(125)= √(5^2×5) = 5√(5)
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
*
1. The expression 0.235xy is a polynomial.
(1 Point)
Yes
No
Can't tell
9514 1404 393
Answer:
yes
Step-by-step explanation:
It is a one-term polynomial called a monomial.
The variables all have positive integer exponents (1).
621 times 29 times equel
Answer:
621 times 29 is equal to 18009
Step-by-step explanation:
\( \\ 621 \times 29\)
\( \\ = 18009\)
In a town there are 4352womens,5821mens and3670childrens estimate the town population by rounding of number to the nearest hundred
Answer:
13900
Step-by-step explanation:
You want an estimate of the total of 4352, 5821, and 3670 by rounding to hundreds.
EstimateThe rounded values, in hundreds, are 44, 58, 37. The sum of these is 139 hundred, or ...
13900
The town's population is estimated to be 13900.
<95141404393>
Mathias has a wooden bike ramp, shown below. He wants to cover the entire ramp with vinyl to protect the wood surfaces. How much vinyl does he need? Show your work.
Here are the steps to solve this problem:
1. Find the area of each face of the ramp.
The rectangular base is 2 meters by 1.5 meters, so the area is 2 x 1.5 = 3 square meters.
The triangular side is 0.5 meters by 1.5 meters, so we use the area of a triangle formula: (base x height)/2 = (0.5 x 1.5)/2 = 0.375 square meters
2. Add the areas of the faces together to find the total surface area that needs to be covered.
3 + 0.375 = 3.375 square meters
3. We need an additional amount for overlaps where the vinyl pieces meet. Let's assume a 10% overlap, or 0.338 square meters.
0.338 + 3.375 = 3.713 square meters
So Mathias needs about 3.7 square meters of vinyl to cover his bike ramp.
In summary:
Area of rectangular base = 2 x 1.5 = 3m^2
Area of triangular side = (0.5 x 1.5)/2 = 0.375m^2
Total area = 3 + 0.375 = 3.375 m^2
Additional 10% for overlap = 0.338m^2
Total vinyl needed = 0.338 + 3.375 = 3.713 m^2
Pls help I tried basic answers like 50+50+80 =180 but it’s wrong so pls help
Answer:
x = 65 degrees
Step-by-step explanation:
x° + x° + 50° = 180°
2x + 50° = 180°
2x = 180° - 50°
2x = 130°
x = 130°/2
x = 65°
\(\sf -2a-(-9) = 23\)
Answer:
a = -7
Step-by-step explanation:
-2a -(-9) = 23
-2a + 9 = 23
-2a +9 -9 = 23 -9
-2a /-2 = 14/-2
a = -7
Therefore a is -7.
Answer:
a = -7
Step-by-step explanation:
The given equation is,
→ -2a-(-9) = 23
Then the value of a will be,
→ -2a-(-9) = 23
→ -2a + 9 = 23
→ -2a = 23 - 9
→ a = 14/-2
→ [ a = -7 ]
Hence, the value of a is -7.
Pls help due date is today
graph, ez quest!! i will try to mark brainliest
Answer:
Number 1 would be 4.5 in the 3 box