Answers
Answer:
Step-by-step explanation:
1)
Area) = area of square + area of triangle
square = 6*6 = 36
area of equilateral triangle = ([tex]\sqrt{3}[/tex] / 4) *a^2 = 31.1759
total area = 36 + 31.1759 = 67.1769[tex]in^{2}[/tex]
Perimeter) 6*5 = 30 "
2)
Area) = upper triangle + lower square
6*[tex]\sqrt{2}[/tex] *sin(45) = 6 cm ( each side is 6)
upper triangle = 1/2*6*6 = 18
lower square = 6*6=36
total area = 38 + 18 = 56 [tex]cm^{2}[/tex]
perimeter = 4*6+6*[tex]\sqrt{2}[/tex] = 32.4852 cm
3)
Area) = left triangle + right rectangle
left triangle = 1/2*3*4 = 6 ( this is the famous 3,4,5 triangle )
rectangle = 8*3 = 24
total area = 24+6=30 [tex]ft^{2}[/tex]
perimeter = 8+5+3+8+3= 27'
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Answer:
area: 51.59 in²; perimeter: 30 inarea: 54 cm²; perimeter: 32.49 cmarea: 30 ft²; perimeter: 28 ftStep-by-step explanation:
1. The figure can be decomposed into a square and an equilateral triangle. Both have the same side length: 6 in. For an equilateral triangle of side length s, the area is ...
A = (√3)/4·s²
For a square with side length s, the area is ...
A = s²
The total of the two areas is ...
A = ((√3)/4 + 1)s² ≈ 1.433013×(6 in)²
A ≈ 51.59 in²
__
The perimeter is the sum of the 5 equal side lengths:
P = 5(6 in)
P = 30 in
__
2. The hypotenuse of the isosceles right triangle at the top of the figure tells you the side length of the triangle is (6√2)/√2 = 6 cm. The area of the triangle is half that of the square below it, so the total area is ...
A = (1 +1/2)(6 cm)²
A = 54 cm²
__
The perimeter is the equivalent of 4 sides of 6 cm and one of 6√2 cm, so is ...
P = (4 +√2)(6 cm)
P ≈ 32.49 cm
__
3. The triangle at the left end of the figure has a hypotenuse of 5 and a height of 3. It is recognizable as a 3-4-5 right triangle, so the bottom leg of it is 4 ft long. That makes the bottom side of the trapezoid have a length of 8+4 = 12 ft.
The area of the trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(12 ft +8 ft)(3 ft)
A = 30 ft²
__
The perimeter is the sum of the side lengths. Starting at left and working clockwise, that sum is ...
P = (5 + 8 + 3 + 12) ft
P = 28 ft
Related Questions
g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distributed with mean $39725 and standard deviation $7320. Suppose a school takes a sample of 125 such graduates and records the annual starting salary of each. The probability that the sample mean would be at least $39000 is about
Answers
Answer:
The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean $39725 and standard deviation $7320.
This means that [tex]\mu = 39725, \sigma = 7320[/tex]
Sample of 125
This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}}[/tex]
The probability that the sample mean would be at least $39000 is about?
This is 1 subtracted by the pvalue of Z when X = 39000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.
I Need Help!!! PLEASE HELP!!!!!!!!
Answers
Answer:
Maybe B?
Step-by-step explanation:
What is the solution for the equation?
Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction
Answers
Answer:
n=-13/4 because you subtract 3/4 from -5/2
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
did it on my test edge
Please help ill give you BRAINLIEST. No links please
Answers
Answer:
m(arc FE) = 166°
Step-by-step explanation:
By theorem of intersecting chords and tangent of a circle,
Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.
m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]
83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]
m(arc FE) = 166°
Eddie purchases 72 feet 6 inches of fencing and finds that he needs 7 feet 8 inches more fencing to finish fencing his back yard.
What is the total length of fencing that Eddie needs?
A.) 79 feet 16 inches
B.) 79 feet 12 inches
C.) 30 feet 2 inches
D.)80 feet 4 inches
Answers
Answer:
The answer is C
Step-by-step explanation:
My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.
Answers
Answer:
use the app photomath its free. and shows you all the steps
Step-by-step explanation:
Johnny wants to invest $10,000 at 4.5% interest rate compounded quarterly, How much will he have after 38 years?
Answers
Answer:
a= $54764.26
Step-by-step explanation:
r=R/100
r=4.5/100
r=0.045 rate per year
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.045/4)(4)(38)
A = 10,000.00(1 + 0.01125)(152)
A = $54,764.26
Which of the following scatterplots would have a trend line with a negative slope?
Answers
Answer:
Step-by-step explanation:
If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line. As x increases, y decreases.
Answer: it’s A. I took the test.
Step-by-step explanation:
the Beatles are better than the stones and that is a fact
What is the perimeter of a triangle with side lengths of 5 cm, 8 cm, and 9 cm?
9 cm
22 cm
13 cm
30 cm
Answers
Consider the line plot below.
What is the median of the data?
What is the mean?
Answers
Help me with this please
Answers
when I did this it was C for me
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answers
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
Answers
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
---------------------------------
Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
----------------------------------------
Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
------------------------------------
Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answers
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
(Look at pictures)
Geometry
(Plz answer fast ill give all points and brainly)
Answers
Answer:
D
Step-by-step explanation:
Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.
Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.
Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules
A-vibrate in place but then the move apart from each other
B-are far apart but when energy leaves the particles move more closely around each
other
C-are moving close together very quickly and then very far apart suddenly
Answers
Answer:
C- are moving close together very quickly and then very far apart suddenly
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature?
Answers
Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
HOPE THIS HELPS
I need help
Please ?!!!!!!
Answers
Answer:
High blood pressure
Step-by-step explanation:
Possible DEATH
Answer:
High blood pressure
Step-by-step explanation:
High blood pressure is dangerous
the solution of the equation x2-6x=0 is ?
Answers
I need help plzz I need help plzz
Answers
3(x+2)=15
I just need help with this problem please.
Answers
Answer:
x=3
Step-by-step explanation:
Divide both sides by 3
3(x+2)/3 = 15/3
You get x+2=5, subtract 2 from each side
x+2(-2)=5(-2)
x=3
What is the square root of 36542
Answers
Answer:
191.159619167
Step-by-step explanation:
Mrs. Torchia picked 54 flowers, which represents 60% of all the flowers in her garden.How many flowers are left in Mrs. Torchia’s garden?
Answers
a golfer hits a ball with an initial velocity of 120ft/sec so that its path as it leaves makes a 23 ° angle with the horizontal. About how long will it take for the ball to hit the ground?
Answers
Answer:
the time taken for the ball to hit the ground is 9.4s
Heather traveled at a
constant rate. She drove
162 miles in 3 hours.
How far in miles, did
Heather drive in 1 hour?
Answers
Answer:
54 miles
Step-by-step explanation:
divide 162/3.
Solve the equation for the value of x
-15x=45
Show your work please, thank you.
Answers
Answer:
x=-3
Step-by-step explanation:
-15x=45
x=-45/15
x=-3
Answer:
okay x=-3
Step-by-step explanation:
-15x=45
-15/-15=45/15
x=-3
A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon
Answers
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
Answers
HELP PLSSSSSSSSSSSSSSSSSSSSSSS
Answers
Answer:
3) not equivalent
4) equivalent multiply by 2
5) equivalent multiply by 2
of 20 possible books you plan to take 5 with you on vacation. how many different collections of 5 books can you take?