Answers
AC = 10 / cos 32
= 11.79 m ( to nearest hundredth)
Answer:
The length of the diagonal of the given Rectangle is, 11.80 m (Approx.)
Step-by-step explanation:
In Rectangle:
* It is a four sided shape where every angle is a right angle.
* The alternative sides are equal.
*Two axes of symmetry bisect each other.
* Diagonals are equal in length.
The figure of rectangle has given the length [tex]l[/tex] = 10m
In right angle triangle ADC.
DC = 10 m ( as alternative sides are equal )
Note that we are given here the adjacent and we have to find the length of hypotenuse, then we use trigonometric ratio that contains both sides adjacent and hypotenuse.
Use: [tex]Cosine = \frac{Adjacent}{hypotenuse}[/tex]
then,
[tex]\cos 32^{\circ} = \frac{10}{AC}[/tex] or
[tex]Ac = \frac{10}{\cos 32^{\circ}} =\frac{10}{0.8480481}[/tex]
On simplify we get;
AC = 11.791784 m
therefore, the length of the diagonal of this rectangle (AC) is, 11.80 m (Approx)
Related Questions
Prove the alternating series test by showing that (sn) is a cauchy sequence.
Answers
A simple random sample is chosen in such a manner that
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What is the relationship between 9.6×10^−2 and 9.6×10^−5 ? Select from the drop-down menus to correctly complete the statement. 9.6×10−2 is ? times ? than 9.6×10−5 .
Answers
so the blanks are 1000 and greater
[tex]9.6\times 10^-^2[/tex] is 1000 times greater than [tex]9.6\times 10^-^5[/tex]
Explanation
The given numbers are: [tex]9.6\times 10^-^2[/tex] and [tex]9.6\times 10^-^5[/tex]
Dividing the two numbers, we will get.....
[tex]\frac{9.6\times 10^-^2}{9.6\times 10^-^5} = \frac{10^-^2}{10^-^5}= 10^-^2\times 10^5 = 10^3 = 1000[/tex]
As, [tex]\frac{9.6\times 10^-^2}{9.6\times 10^-^5} > 1[/tex]
So, [tex]9.6\times 10^-^2>9.6\times 10^-^5[/tex]
Thus, [tex]9.6\times 10^-^2[/tex] is 1000 times greater than [tex]9.6\times 10^-^5[/tex]
Find the value of 7 + 32 (-5 + 1) ÷ 2.
25
32
-11
Answers
Use PEMDAS:
7+32×(-5+1)÷2
-5+1=-4
7+32×-4÷2
32×-4=--128
7+-128÷2
128÷2=-64
7+-64=-57
Since its not one of the options I'm choosing C because its negative.
-11 would be your answer since i'm guessing that the answer is 3^2 and not 32
Liam bought a picture frame that cost $12 plus 8% sales tax. He wrote the expression 1.08(12) to find his total cost.
Which expression is equivalent to the total cost?
(12+0.08)12
12 + 0.08
1+0.08(12)
(1+0.08)12
Answers
The Answer Is D.(1+0.08)12
Hope It Helps Mark Me The Brainlyest PLEASE
The expression which is equivalent to the total cost comprising of the cost of frame and sales tax is (1 + 0.08)12
Given the Parameters :
Cost of frame = $12 Sales tax = 8% = 0.08The total cost can be expressed thus :
Cost of frame = 100% of $12
Sales tax amount = 8% of $12
This can be expressed as :
(100% + 8%) × 12 (1 + 0.08) × 12Therefore, the appropriate expression ls (1 + 0.08)12
Learn more : https://brainly.com/question/18109354
Cindy spends 2 hours doing English, Geometry and History homework. It takes her 35 minutes to do English homework and 55 minutes to do Geometry homework. How much time does Cindy spend on History homework? Question 7 options: A.Cindy spends 30 minutes on History homework. B.Cindy spends 25 minutes on History homework. C.Cindy spends 65 minutes on History homework. D.Cindy spends 60 minutes on History homework.
Answers
120 - 90 = 30
So the answer is A. Cindy spends 30 minutes on History
Hope it helps!
Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the slope of the line. What can you conclude about this line?
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In a memory ad for dimms, you notice 256meg x 72 for one dimm and 256meg x 64 for another dimm. what does the 72 tell you about the first dimm?
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Question 20 read the question and type your response in the box below the question. your response will be saved automatically. write an example of a linear equation with one variable and infinitely many solutions.
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A girl delivering newspapers travels 2 blocks west, 5 blocks north, and then 6 blocks east.
What is her resultant displacement?
___blocks at
____ ° counterclockwise from east.
Answers
Define the displacement in the east as positive and displacement north as positive in y.
1st travel = (-2, 0) 2 blocks west
2nd travel = (0, 5) 5 blocks north
3rd travel = (6, 0) 6 blocks east
Add x and y components for total displacement
Total x-displacement = -2 + 0 + 6 = 4
Total y-displacement = 0 + 5 + 0 = 5
The resultant displacement (from the Pythagorean theorem) is
d = √(4² + 5²) = 6.403 blocks
The angle that the resultant makes with the x-axis is
tan θ = 5/4 = 1.25
θ = tan⁻¹ 1.25 = 51.3°
Answer:
6.4 blocks
51.3° counterclockwise from east
Help please! Reflection of a triangle on a graph. D:
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GET 15 POINTS NOWWWWWWWWW!!!!
What is the point slope form of the line with slope [tex] \frac{2}{5} [/tex] that passes through the point (−4, −7) ?
Answers
point-slope form : y-y₁=m(x-x₁)
Simply plug everything in :)
Remember !! m=slope
y - (-7) = 2/3(x - (-4))
Simplify.
y + 7 = 2/3(x + 4)
*Some teachers want this simplified more so here's the simplest answer :
y + 7 = 2/3x + 8/3 *
~Hope I helped!~
A pet store has 24 Tiger fish and 3 aquariums. Each aquarium has the same number of fish. How many tiger fish are in each aquarium?
Answers
24/3 = 8
Final answer:
To find the number of tiger fish per aquarium, divide the total number of fish (24) by the number of aquariums (3), resulting in 8 tiger fish per aquarium.
Explanation:
The question asks us to determine how many tiger fish are in each aquarium if a pet store has 24 tiger fish and 3 aquariums, with each aquarium having the same number of fish.
To find the answer, we need to divide the total number of tiger fish by the number of aquariums:
Total number of tiger fish = 24
Number of aquariums = 3
We calculate the number of fish per aquarium by performing the division 24 ÷ 3, which equals 8. Therefore, there are 8 tiger fish in each aquarium.
Match the following items.
Am I right
1. 2x + x + 4 = -17
2
combine like terms
2. 3x + 4 = -17
3
subtraction
3. 3x = -21
4
division
4. x = -7
1
Given
Answers
thrs a shorter method though
Imagine +4 flying over the = sign, and just change the sign (from + to -)
It is a lot shorter, as long as you can visualise. If for example -10 is flying over, it becomes +10
For questions 1-3 match the graph to the table of values
Question 1 Options:
A. Time | Height
1 5
2 10
3 15
4 20
B. Time | Height
1 2
2 3
3 5
4 9
C. Time | Height
1 4
2 3
3 5
4 7
Question #2 Options
A. Time | Height
1 5
2 10
3 15
4 20
B. Time | Height
1 2
2 3
3 5
4 9
C. Time | Height
1 4
2 3
3 5
4 7
Question #3 Options
A. Time | Height
1 5
2 10
3 15
4 20
B. Time | Height
1 2
2 3
3 5
4 9
C. Time | Height
1 4
2 3
3 5
4 7
Answers
2. C. because the values go down then up
3. A. because the values go up consistently
Answer: (1) The correct option is B. (2) he correct option is (C). The correct option is (A).
Explanation:
(1)
In the graphs the x-axis represents the time and the y-axis represents the height.
From given figure 1 it is noticed that the height is consistently increases as the time increases but not in the same proportion.
Because the points are not lies on a single straight line, it means the height increases but not in the same rate.
Therefore, the correct option B.
(2)
From figure 2 it is noticed that at initial state the height decreases after that height increases.
The option 1 represent the increase at constant rate, option 2 represent the increase in height but not at constant rate and option 3 represents the fluctuation in height.
Therefore the correct option is C.
(3)
From figure 3 it is noticed that all the pints lies on a single straight line, therefore the height increases at a constant rate.
So, the correct option is A.
At 12:00 noon two Mississippi steamboats are 126 miles apart. At 6:00 p.m. they pass each other going in opposite directions. If one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.
Answers
Final answer:
To determine the speed of two Mississippi steamboats, we use algebra to set up and solve a system of equations. The slower boat travels at 6 miles per hour, and the faster boat travels at 15 miles per hour.
Explanation:
To solve the problem of finding the speed of two Mississippi steamboats, we can set up a system of linear equations. The boats are 126 miles apart and travel towards each other until they pass at 6:00 p.m. This means they've been traveling for 6 hours. Let's define the speed of the slower boat as x miles per hour and the faster boat as x+9 miles per hour.
Since distance equals speed multiplied by time, the distance covered by the slower boat can be represented by 6x and by the faster boat as 6(x+9). The sum of these distances will be equal to 126 miles, the initial distance between the two boats.
Set up the equation: 6x + 6(x + 9) = 126.
Simplify the equation: 12x + 54 = 126.
Solve for x: x = 72 / 12 = 6 miles per hour.
Calculate the speed of the faster boat: x + 9 = 6 + 9 = 15 miles per hour.
Therefore, the speed of the slower steamboat is 6 miles per hour, and the speed of the faster steamboat is 15 miles per hour.
What is the area of a rectangle with vertices at (−6, 3) , (−3, 6) , (1, 2) , and (−2, −1) ?
Answers
Hurry please!! Use any model you choose to solve the story problem. Zoey found that box of dog food was left in the pantry. She shared this food equally among her 4 dogs. What fraction of the full box of dog food did each dog get?
Answers
graph the linear equation. find three points that solve the equation, then plot on the graph -5x+2y=11
Answers
To graph the linear equation -5x+2y=11, choose x values and solve for y to find points for plotting. Three example points are x = 0, 2, and -5 with y values of 11/2, 8, and 21 respectively.
Explanation:Graphing the Linear Equation -5x + 2y = 11:
To find points, we can choose values for x and then solve for y.Choose x = 0, x = 2, x = -5 as examples.For x = 0, y = 11/2; for x = 2, y = 8; for x = -5, y = 21. Plot these points on a graph and draw a straight line through them.A manufacturer is producing two types of shoes, types A and B. Type A cost $4 to produce and takes one hour. Type B costs $5 dollars to produce and takes 12 1 2 hour. Type A yields a profit of $10 and type B yields a profit of $12. The manufacturer has $40 and 7 production hours available. How many of each type of shoe should the manufacturer produce to maximize profit?\
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Because Then A would be the obvious choice due to the fact that you wouldn't be able to even make one of B
4 x 7 = 28
7 x 10 = 70
70 - 28 = 42 (it gives a 42 dollar profit)
Even if type B can give you more money after sold, you don't have enough time to even complete 1 shoe, which means -5 dollars for him, because it takes 12 1/2 hours to complete one shoe
hope this helps
I need to know how to do this question
Answers
so we have
4(x - 4) - 3(x + 2) x - 22
---------------------- = ------------------- Answer
(x + 2)(x - 4) (x + 2)(x - 4)
Solve using quadratic equation:
3x(^2)-2x+1=0
[^2 means 2 squared]
Answers
3x² - 2x + 1 = 0 in this case, a = 3, b = -2, c = 1
x = 2 +- √(-2)² - 4(3)(1) / 2(3)
x = 2 +- 2√2i / 6
simply solutions;
x = 1+-√2i / 3
hope this helped, God bless!
Which of these variables is least likely to have a normal distribution?
a.annual income for all 150 employees at a local high school
b.lengths of 50 newly hatched pythons
c.heights of 100 white pine trees in a forest
d.amount of soda in 60 cups filled by an automated machine at a fast-food restaurant
e.weights of 200 of the same candy bar in a shipment to a local supermarket?
Answers
Hope this helps!
Answer:
Annual income for all 150 employees at a local high school
Step-by-step explanation:
The normal distribution is also called the Gaussian distribution. It is the most common type of distribution for statistical analysis. The normal distribution is based on a probability distribution. The data near the mean are more frequent than the data away from the mean. It is based on two parameters: the mean and the standard deviation.
As per options, option A which states ‘annual income for all 150 employees at a local high school’ the data is within the standard deviation.
BRAINLIESTTTTTTTTTTTTTTTTTT!''1. The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment.
The steps to calculate an equivalent function are shown below:
[Step 1] f(x) = 800(1.09)^3x
[Step 2] f(x) = 800(1.09^3)^x
[Step 3] f(x) = 800(1.09 ⋅ 3)^x
[Step 4] f(x) = 800(3.27)^x
Which of the following is the first incorrect step?
There is no mistake in the work.
Step 1
Step 2
Step 3
Step 4
Answers
hope this helps
Answer: The incorrect step is the second one or step 2
PLEASE HELP, BRAINLIEST William pays $32 per year for no-deductible comprehensive coverage of his new full sized car. A hailstorm causes $250 worth of damage to the paint on his car
How much will the insurance pay?
How much must Richard pay?
Answers
250-32 = $218 (Insurance will pay)
Richard pays $32. I hope that is helpful.
Answer:
The insurance company will pay $250.
Step-by-step explanation:
Deductible is the amount of the loss a policy holder pays when he files for an insurance claim, before the insurance company pays any money. And no deductible means that the person will not pay anything, The insurance company will pay.
So, here William pays for a no deductible insurance, which means he will not pay anything. His insurance company will pay the total amount of $250.
If a circle takes 8 rotations to roll 5 meters, what is its radius?
Answers
That means 8 times the circumference is 5 meters.
Let C = circumference.
8C = 5
C = 5/8 = 0.625
The circumference measures 0.625 m.
The circumference is
[tex] C = 2 \pi r[/tex]
Now we substitute our value into the circumference formula.
[tex]0.625 = 2 \pi r [/tex]
[tex]2 \pi r = 0.625 [/tex]
[tex]\pi r= 0.3125[/tex]
[tex]r = \dfrac{0.3125}{\pi} [/tex]
[tex]r \approx 0.09947 [/tex]
[tex]r \approx 0.1 ~m[/tex]
(10 pts) A plastic extruder can produce 3843 ft of plastic pipe in an 8 hour shift. If the plastic is cut into 7 ft long pipes, how many pipes are produced each shift ?
Do you just divide 3843 by 7?? It just seems to simple.
Answers
3843/7 = 549
Answer:
8742
Step-by-step explanation:
838473
Which of the following measurements best describes the amount of water in a bucket? 3 gallons 30 fl. oz. 5 pints 10 cups
Answers
If you ask three strangers about their birthdays, what is the probability:
Answers
The probability that the birthday of three strangers were on Wednesday is given by
[tex]\left( \frac{1}{7} \right)^3= \bold{\frac{1}{343}} [/tex]
Part B:
The probability that the birthday of three strangers were on different days of the week is given by
[tex]\left( \frac{1}{7} \right)\left( \frac{1}{6} \right)\left( \frac{1}{5} \right)= \bold{\frac{1}{210}} [/tex]
Part C:
The probability that none of the three strangers were born on Saturday is given by
[tex]\left( \frac{6}{7} \right)^3= \bold{\frac{216}{343}}[/tex]
Shown here is a frequency distribution for the rise in tides at 30 selected locations in the U.S.Find the variance and standard deviation
Answers
hope this helps:D
plz give me brainiest