a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?
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Answer:
12 yards
Step-by-step explanation:
side b = √(diagonal^2 - side a^2)
Related Questions
please help me with all
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Answer:
Part A. Mike will save $1650 if he saves $150 for 11 months.
Part B. Since $1750-$150 = $1600 Mike will need to save $100 in the 12th month. Since $100 is less than $150, he will be able to reach his goal.
Part C. If Mike saves $160 every month for 12 months, he will have saved $1920.
(c−9)2−(4c−2)2 factor
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Answer:
−2(3c + 7)
Step-by-step explanation:
Factor the polyomial
Complete the proof of the identity by choosing the Rule that justifies each step.
(1- cos x) so
secx sin tan
To see a detailed description of a Rule, select the More Information Button to the right of the Rule,
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( 1 - cos²x ) secx
=> sin²x . secx
Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .
=> sin²x [ 1/cosx ]
Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .
=> sinx [ sinx/cosx ]
Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].
=> sinx tanx
Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .
The proof of the identity that justifies that ( 1 - cos²x ) secx equals sinx(tanx) has been described below with statements and rules.
Statement 1; ( 1 - cos²x ) secx
This is given
Statement 2; sin²x · secx
Rule 1; From trigonometric identities, we know that;
sin²x + cos²x = 1,
Thus; cos²x = 1 - sin²x
Thus; ( 1 - cos²x ) secx = sin²x · secx
Statement 3; sin²x (1/cosx)
Rule 2; The rule here according to trigionometric identities is that; secx = 1/cosx. Thus; secx = 1/cosx .
Statement 4; sinx (sinx/cosx )
Rule 3; The rule here is that sin²x can be expressed as (sinx * sinx)
Thus, we have; sinx . sinx (1/cosx) = sinx (sinx/cosx ).
Statement 5; sinx(tanx)
Rule 4; The rule here is that; sinx/cosx = tanx.
Thus; sinx (sinx/cosx ) gives us sinx(tanx)
Read more at; https://brainly.com/question/24836845
3. Find the class size, class mark Lower limit and upper limit of the class interval 150-200
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Answer:
See Explanation
Step-by-step explanation:
Class size = 200 - 150 = 50
Class mark = (150 + 200)/2 = 350/2 = 175
Lowe limit = 150
Upper limit = 200
Josh is comparing the volume of a cylinder and steer. The cylinder has a high of 8 inches and radius of 6 inches. This sphere has a radius 6 6 inches. What is the van of the cylinder and spare in terms of pie
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Answer:Has a diamanitor of 6). B.)9 pi square units ... What is the volume, to the nearest whole cubic inch, of a cylinder with a height ... Volume of Cylinders, Cones, and Spheres Assig…
Step-by-step explanation:
1
Determine whether the triangles are similar. If they are, write a similarity statement.
42°
48
Are they similar?
If so, then which of the following is an accurate similarity statement?
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Answer:
theyre not similar
Step-by-step explanation:
they have different angles
Convert the following repeating decimal into a fraction. *
0.497
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Answer:
497/1000
Step-by-step explanation:
sorry but that's as simplified as it gets
A polynomial p has zeros when x=5, x=-1, and x=-1/4. what could be the equation of p?
A. p(x)=(x+5)(x+1)(4x+1)
B. p(x)=(x-5)(x+1)(4x+1)
C. p(x)=(x+5)(x-1)(4x-1)
D. p(x)=(5x)(-1x)(-1/4x)
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Answer:
B
Step-by-step explanation:
Given: x = 5 ; x - 5=0
x = -1; x+ 1= 0
x = -1/4; 4x + 1 = 0
Then; (x - 5)(x + 1)(4x + 1)
Help!!!!!!!!!!!!!!!!!
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Answer:
7.5 i got
Step-by-step explanation:
60%8= 7.5
Answer: the shaded area is 1/6 of the circle and is 60 degrees thats all i know sorry if not right
Step-by-step explanation: HAVE A GREAT DAY
NUMBER 6 ONLY. Please help. Only if you are SURE
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Answer:
I think it should be zero
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
c2+2c
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Answer:
Step-by-step explanation:
c2+2c+4
(c+2)^2
^ is the exponent
Simplify using the laws of exponets.
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The answer is 35 over 2.
Option B!
Mallie's car dealership expects to sell 18 cars every 6 days. Based on this information, how many days does the dealership expect that it will take to sell 90 cars
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Answer:
30 days
Step-by-step explanation:
1 way:
18 cars/6 days = 3 cars/1 day
90cars/3 cars a day= 30 days
another way:
90 cars/18 cars= 5
6 days * 5= 30 days
NEED THIS ASAP PLEASE
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Answer:
50
Step-by-step explanation:
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
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Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 420.0 gram setting. It is believed that the machine is underfilling the bags. A 33 bag sample had a mean of 417.0 grams. A level of significance of 0.01 will be used. Determine the decision rule. Assume the variance is known to be 576.00.
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Answer
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
Step-by-step-explanation:
From the question we are told that
The population mean is [tex]\mu = 420.0 \ g[/tex]
The sample size is n = 33 bags
The sample mean is [tex]\= x = 417.0 \ g[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The variance is [tex]\sigma^2 = 576.0[/tex]
The null hypothesis is [tex]H_o : \mu = 420[/tex]
The alternative hypothesis is [tex]H_a : \mu < 420[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{576 }[/tex]
=> [tex]\sigma = 24[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \sigma }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{417 - 420 }{ \frac{24}{ \sqrt{ 33} } }[/tex]
=> [tex]z = -0.71807[/tex]
From the z table the area under the normal curve to the left corresponding to -0.71807 is
[tex]p-value = P(Z < -0.71807 ) = 0.23636[/tex]
Generally looking at the values we see that
[tex]p-value > \alpha[/tex] , hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
What is the first step in the decision-making process, and why is it important?
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Answer:
Recognizing the problem or opportunity and deciding to address it.edge ⬇️
Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..
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Answer:
All are corrects.
Step By Step Explanation:
It's all the same thing.
please help me<3
Thank you so much!
Answers
Answer:
55%
Step-by-step explanation:
Divide the number of people that would buy the car again (this means that they were satisfied) by the total number of people
1320/2400 = 0.55
0.55 * 100 = 55%
help please, i will love you forever
Answers
Answer:
See Below
Step-by-step explanation:
I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.
We are converting between different units of measurement.
Here are the conversions to know:
12 inches = 1 foot
3 feet = 1 yard
1760 yard = 1 mile
5280 feet = 1 mile
#1
We need to convert 7 feet into inches.
7 feet * 12 inches per foot = 84 inches
Now we know:
84 inches = 7 feet
What's the difference is between 84 inches, and 18 inches?
84 inches - 18 inches = 66 inches
We need 66 more inches to get a length of 7 feet.
#2
We need to convert 2 miles into yards.
2 miles * 1760 yards per mile = 3520 yards.
Now we know:
3520 yards = 2 miles
What's the difference between 3520 yards and 2000 yards?
3520 yards - 2000 yards = 1520 yards
We need 1520 more yards to make 2 miles
#3
We need to convert 108 inches into feet.
108 inches / 12 inches per foot = 9 feet
Since there is no remainder,
9 feet = 108 inches.
Hopefully you can see what is going on here and do the rest yourself.
Find the slope of the line through each pair of points. (-20,-4), (-12, -10)
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Answer:
-0.75 i think
Step-by-step explanati
What fraction are equivalent to 5/20?
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Answer:
A. 4/16, because 5/20 = 1/4 and 1/4 = 4/16
Step-by-step explanation:
If u r talking about edge then this is correct, hope this helps :)
Jill sold half of her comic books and then bought sixteen more. she now has 36. how many did she begin with?
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Step-by-step explanation:
thats the ans okay......
. In the formula I=P·r·t, what does I stand for?
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Answer:
I stand for simple interest.
p stands for principal amount
R Stands for Rate of interest
T stands for Time
This is the formula for simple interest.
The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____.
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Answer:
Two tailed test
+/-1.96
Step-by-step explanation:
Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.
At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96
Find the value of c so that the polynomial p is divisible by (x+2)
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Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
[tex]p(x) = 4 {x}^{3} + c {x}^{2} + x + 2[/tex]
[tex]p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2[/tex]
[tex]4( - 8) + 4c - 2 + 2 = 0[/tex]
[tex] - 32 + 4c = 0[/tex]
[tex]4c = 32[/tex]
[tex]c = 32 \div 4[/tex]
[tex]c = 8[/tex]
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
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Answer:
B.Reigion D
Step-by-step explanation:
Answer:
Region B
Step-by-step explanation:
Cause i just know
A firm is concerned with variability in hourly output at several factories and shifts. Here are the results of an ANOVA using output per hour as the dependent variable (some information is missing). Source Sum of Squares df Mean Square F Ratio Factory 19012.5 1 19012.5 26.427 Supplier 258.333 2 129.167 0.180 Factory*Shift 80908.333 2 40454.167 56.230 Error 8633.333 12 719.444 Total 108812.5 17 6400.735 The number of observations in each treatment cell (row-column intersection) is
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Answer:
The number of observations is 3
Step-by-step explanation:
According to the given situation, The computation of the number of observations in each cell treatment via intersecting row-column is shown below
Here
N represents the number of observations
So from the given data, the number of observations is 3
i.e.
N = 3
The same is to be considered and relevant too
What is (-24)+(-36)+(-12)
(Simplify the following )
Please help me.. if I fail I’ll get kicked from school
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-24-36-12
-72
(-24)+(-36)+
-24-36-12
-72
Find the value of x if DE is a midsegment
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Answer:
It is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side. As shown in the triangle given below. Therefore the value of x is 15