Answers
The measure of the angle BAM is approximately 40.894°.
What is the angle withing a rectangle?
In this problem we proceed to draw the figure representing the entire figure and labeling all known lengths, both from statement and derived from Pythagorean theorem. Since the angle BAM is part of a right triangle, then we can apply the following trigonometric function:
[tex]\tan \theta = \frac{BM}{AB}[/tex]
[tex]\tan \theta = \frac{\frac{\sqrt{3}}{2}\cdot x }{x}[/tex]
[tex]\tan \theta = \frac{\sqrt{3}}{2}[/tex]
θ ≈ 40.894°
The measure of the angle BAM is approximately 40.894°.
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Related Questions
find a whole number between 3.75 and the square root of 36
Answers
Answer:
5
Step-by-step explanation:
[tex]\sqrt{36}=6[/tex]
A whole number between 3.75 and 6 is 5.
Off the production line, there is a 2.2% chance that a candle is defective. If the company selected 40 candles off the line, what is the standard deviation of the number of defective candles in the group?
Answers
The standard deviation of the number of defective candles in the group is 0.9277.
When a random variable X follows a binomial distribution, with the sample size n, and the proportion of success is p, then the standard deviation is calculated as:
σ = √{np(1-p)}.
In the question, we are given that off the production line, there is a 2.2% chance that a candle is defective.
We are asked if the company selected 40 candles off the line, then what is the standard deviation of the number of defective candles in the group.
Assuming the occurrence of a defective bulb as success, we get the proportion of success, p = 2.2% or 0.022, and the sample size, n = 40.
Thus, we can calculate the standard deviation of the number of defective candles in the group as:
σ = √{np(1-p),
or, σ = √{40*0.022*(1 - 0.022)} = √0.86064 = 0.9277.
Thus, the standard deviation of the number of defective candles in the group is 0.9277.
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Would this expression:
[tex](x^{2} -16)^{2}[/tex]
be classified as a difference of squares? Or a perfect square trinomial?
Why?
Answers
The given expression is a perfect square trinomial.
How to classify the given expression?
Here we have the expression:
[tex](x^2 - 16)^2[/tex]
Notice that we can rewrite it as:
[tex](x^2 - 4^2)^2[/tex]
Then we can see that inside the parenthesis we have a difference of squares, but it is squared, so if we define:
[tex]x^2 = a\\4^2 = b[/tex]
We will have:
[tex](a - b)^2 = a^2 + -2ab + b^2 = (x^2)^2 - 2*(4^2)*(x^2) + (4^2)^2[/tex]
Which is in fact, a perfect square trinomial.
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HELP ASAP
Question
Garret studies number of hours sleep per night among students who have a grade point average of 3.0–4.0 versus students who have a grade point average of 2.0–3.0.
His theory is that students who get more sleep will have a higher grade point average than students who get less sleep because they are more rested and, therefore, better able to concentrate.
In his samples, the mean number of hours of sleep students with a grade point average of 3.0–4.0 received each night was 6.8. The mean number of hours of sleep students with a grade point average of 2.0–3.0 received each night was 6.4.
Assuming there are no outliers or skew, do the results support Garret's theory?
Select from the drop-down menus to correctly complete the statements.
Since the samples were large and randomly chosen, we can use the samples to understand the populations.
Because the sample mean for students with a grade point average of 3.0–4.0 is
Choose...
a. less than
b. about the same
c.greater than
the sample mean for students with a grade point average of 2.0–3.0, the results
Choose...
a. tend to
b. do not tend to
Answers
The sample mean for students with a grade point average of 3.0–4.0 is greater than students with grade point average of 2.0 - 3.0, the results tend to
How to interpret Garret studies?From the question, we have the following highlights
The sample size is large enoughThe sample is at randomStudents who have a grade point average of 3.0 - 4.0 sleep for an average of 6.8 hoursStudents who have a grade point average of 2.0–3.0 sleep for an average of 6.4 hoursThere are no outliersFrom the above highlights, the sample mean for students with a grade point average of 3.0–4.0 is greater than students with grade point average of 2.0 - 3.0
This is because 6.8 is greater than 6.4
This means that Garret's theory about the hours of sleep is correct
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2 qts for every 50 gal of water i just want to use 15 gal of water so how much do i use
Answers
The amount of qts to use for 15 gals is 0.6qts
Proportion and ratio
Ratio are written as quotient of 2 integers
Given that 2 qts for every 50 gal of water, this is written as;
2qts = 50 gals
In order to calculate for 15gal, we will have:
x = 15gals
Take the ratio
2/x = 50/15
50x = 30
x = 3/5
x = 0.6qts
Hence the amount of qts to use for 15 gals is 0.6qts
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I need help with this
Answers
Answer:
361
Step-by-step explanation:
discriminant = b² - 4ac
= (21)² - 4(1)(20)
= 441 - 80
= 361
Select the correct answer from each drop-down menu. For the figure shown, point D is a midpoint of , and point J is a midpoint of . A figure shows a double-sided arrow. The points on the left and right arrows are A, B, L, and F, G, H. The points on the upper and lower lines are C, D, E, and K, J, I. Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides and , , and and are congruent.
Answers
The first blank is BAL and FGH
The second blank is AL
The third blank is CE and KI
The fourth and final blank is GH
According to the statement
we have given a diagram in which there are some angles and from these angles we have to find that the
Which opposite angles are congruent
The opposite side of AB
With GF angle which angle are congruent
Two angles are which are opposite to each other.
So, from a diagram it is clear that The angles which are congruent with each other is BAL and FGH. Because there positions are perfectly opposite and same to each other.
And The opposite side of AB is AL because it is present at opposite position to each other.
And with GF angle GH are congruent angles.
So, The first blank is BAL and FGH
The second blank is AL
The third blank is CE and KI
The fourth and final blank is GH
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DISCLAIMER: This question is incomplete.Please see the complete question below.
QUESTION:
Select the correct answer from each drop-down menu.
For the figure shown, point D is a midpoint of , and point J is a midpoint in figure.
Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles
are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides are congruent.
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The final result after substituting a value into an equation is the output.
A. true
B. false
Answers
90°
Find mZR.
A. 30°
B. 60°
C. 120°
D. 180°
(2x)
to
P
90°
S
Answers
Answer:
120°
Step-by-step explanation:
Angles in a quadrilateral add to 360°, so
90+90+x+2x=360
180+3x=360
3x=180
x=60
So, angle R measures 120°.
1) Can we predict the calories in a fast-food product if we know the amount of protein in that
product? Several fast-food products were examined and the number of calories and amount of
protein (in grams) were recorded. In the sample, the smallest and largest amounts of protein
were 4 grams and 22 grams, respectively. Analyzing the data resulted in the following
information:
Correlation of Protein and Calories = r = -0.87
The regression equation is Calories=302.5 -0.51 (Protein)
Interpret the correlation coefficient. There is a:
O strong negative linear relationship between protein amount and calories.
O weak negative linear relationship between protein amount and calories.
O strong positive linear relationship between protein amount and calories.
O weak positive linear relationship between protein amount and calories.
Answers
The correct option regarding the correlation coefficient is given as follows:
strong negative linear relationship between protein amount and calories.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:
strong negative linear relationship between protein amount and calories.
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Find the missing length indicated. need help
Answers
Step-by-step explanation:
the formula for the height in a right-angled triangle is
h = sqrt(p×q)
p and q being the segments of the Hypotenuse left and right from the point, where the height intersects with the Hypotenuse.
so, in our case
12 = sqrt(16×(x-16))
let's square this to eliminate the square root :
144 = 16×(x - 16) = 16x - 256
400 = 16x
x = 25
A ribbon is 4 m long. How many pieces each 30 cm long can be cut from the ribbon?
Answers
Answer:
13 pieces
Step-by-step explanation:
First we convert 4m into cm :
1m = 100cm
4m = 400cm
Now we need to figure out how many 30s go into 400 :
400 ÷ 30 = 13 remainder 10
So 13 pieces can be cut from the ribbon
Hope this helped and have a good day
Answer:
13
Step-by-step explanation:
4 meters is equal to 400 centimeters.
400/30 = 13 1/3
You don't want partial pieces, so your answer is 13
write the expression 5x(x+9) -7(x+9) in complete factored form.
Answers
(5x-7)(x-9)
Step-by-step explanation:Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.
Partial Factoring
The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.
Complete Factoring
Even though it was partially factored, we can factor it more. When given the situation:
a(x + y) - b(x + y)The expression can be factored into:
(a - b)(x + y)You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.
Thus, 5x(x+9) -7(x+9) can be factored into:
(5x-7)(x-9)Remember this trick only works when both terms share a factor like (x-9).
If a diameter of a circle has endpoints (-3,5) and
(5, 7), then the center of the circle is
Answers
Answer:
(1 , 6)
Step-by-step explanation:
the center of the circle is the midpoint of the diameter
Which is the point of coordinates:
[tex](\frac{-3+5}{2} ,\frac{5+7}{2} )[/tex]
Then the center is the point :
[tex](1 , 6)[/tex]
[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
Given:
[tex]\longrightarrow\bold{(-3,5)}[/tex]
[tex]\longrightarrow\bold{(5, 7)}[/tex]
Calculate the average value between the x-coordinates of the diameter and do the same for the y-coordinates:
[tex]\longrightarrow\sf{C_x=\dfrac{-3+5}{2} = \dfrac{2}{2} =1}[/tex]
[tex]\longrightarrow\sf{C_y= \dfrac{5+7}{2} = \dfrac{12}{2} = 6 }[/tex]
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\longrightarrow\sf{=(1,6)}[/tex]
Ashley deposits $10 000 at the end of each month for 6 times at rate of 5% compounded monthly. How much will be in her account
a. at the end of 6th month?
b. 3 months after her last deposit if rate of interest have remained level?
c. at the end of 6th months if she misses the deposit in 3rd month?
d. at the end of 6th months if she deposit $20 000 at the beginning of 1st month
e. at the end of 6th months if the rate growth to 6% from 4th months
f. Construct the deposit table for each of the above questions
Answers
The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:
Deposit Table:Item Initial Periodic Deposit Interest Future Value Interest
Deposit Deposit Period Rate ($)
a. $10,000 $10,000 6 months 5% $61,774.51 $1,774.51
b. $10,000 $10,000 3 months 5% $30,502.78 $502.78
c. $10,000 $10,000 6 months 5% $51,774.51 $1,522.42
d. $20,000 $10,000 6 months 5% $72,201.71 $2,201.71
e. $10,000 $10,000 6 months 5%/6% $60,803.78 $803.78
What is the future value?The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.
The future value is computed using the FV formula or factor.
It can also be computed using an online finance calculator as follows:
Data and Calculations:Periodic Deposit = $10,000
Investment period = 6 months
Interest rate = 5% compounded monthly
a) for illustration:N (# of periods) = 6 months
I/Y (Interest per year) = 5%
PV (Present Value) = $0
PMT (Periodic Payment) = $10,000
Results:
FV = $61,774.51
Sum of all periodic payments = $60,000 ($10,000 x 6)
Total Interest = $1,774.51
Other Special Cases:c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).
d) Future Value Interest
5% with $20,000 $82,285.04 $2,285.04
5% with $10,000 (10,083.33) (83.33)
Total for 6 months $72,201.71 $2,201.71
e) Future Value Interest
5% for 3 months $30,502.78 $502.78
6% for 3 months $30,301.00 $301.00
Total for 6 months $60,803.78 $803.78
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POINTS, AND BRAINLIEST
Answers
The identification of parts A,B andC is illustrated below with their various reasons given.
What is an equilateral triangle?An equilateral triangle is the triangle that has all its sides equal in length and each angle is made up of angle 60°.
Part A = The similar triangle are RGE and PBE
Part B = The triangles selected are similar because it was formed by an interception of the parallel lines of the rectangle GCPR.
Part C= All the sides of the equilateral triangle are the same therefore the distance from B to E and from P to E is the same with BP which is 225ft.
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a rectangle has horizontal sides of 3 (x-2)ft and vertical sides of 4x-7+(-2x) ft finde the value of x so that the rectangle has a perimeter of 34 ft
Answers
Based on the given horizontal and vertical sides of a rectangle and its perimeter, the value of x in the expression is 6
Perimeter of rectanglePerimeter of rectangle = 2(length + width)
Perimeter of the rectangle = 34 ftLength of the rectangle = 3(x - 2) ft= 3x - 6
Width of the rectangle = 4x - 7 + (-2x)= 4x - 7 - 2x
= 2x - 7
Perimeter of rectangle = 2(length + width)
34 = 2{(3x - 6) + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
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Translate this phrase into an algebraic expression.
64 decreased by twice Matt's savings
Use the variable m to represent Matt's savings.
10
Answers
64 decrease by twice the number then the algebraic expression be
64 - 2m.
What is algebraic expression?The algebraic expression exists acquired by a finite number of the fundamental functions of algebra upon characters expressing numbers. Algebraic expressions contain at least one variable and at least one operation (addition, subtraction, multiplication, division).
From the given information, we get
Let, Matt's savings be denoted by the variable m.
Twice the number be 2m.
64 decrease by twice the digit then the algebraic expression be 64-2w.
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Given the following values, evaluate the logarithmic function. log2≈0.301, log3≈0.447, log4≈0.602, log5≈0.699, 2log(2/square root of 5)
Answers
The expression of the given logarithmic function 2log(2/√5) is; D: -0.097
How to solve Logarithmic Functions?From logarithmic Identities, we know that;
log (x/y) = log x - log y
log (x * y) = log x + log y
Thus;
2log(2/√5) = 2[log 2 - log √5)
Now, log √5 can also be expressed as;
log √5 = ¹/₂log 5
Thus;
2log(2/√5) = 2[log 2 - ¹/₂log 5]
⇒ 2 log 2 - log 5
We are given the values;
log2≈0.301, log3≈0.447, log4≈0.602, log5≈0.699
Thus;
2log(2/√5) = 2 log 2 - log 5 = 2(0.301) - 0.699
⇒ -0.097
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25 mice were involved in a biology experiment involving exposure to chemicals found in ciggarette smoke. 15 developed at least 1 tumor, 9 suffered re[iratory failure, and 4 suffered from tumors and had respiratory failure
Answers
based on the number of mice that took part in the experiment, the total number of mice that had at least one effect is 20 mice.
how many mice had a health effect?15 mice had at least 1 tumor while 4 mice had both a tumor and respiratory failure.
the number of mice with just a tumor is:
= 15 - 4
= 11 mice
the number of mice with respiratory failure alone is:
= 9 - 4
= 5 mice
the mice that had at least one symptom is:
= 11 + 5 + 4 mice with both
= 20 mice
question is:
what are the number of mice with at least one effect?
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A brave knight traveled on his horse from one kingdom to another in 2 days. The first day he rode at a speed of 10 mph, and the
Answers
It would take the brave night 20 hours on his horse from one kingdom to another in 2 days.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let us assume that he travelled at 20 mph on the second day. If he traveled exactly the same amount of time each day and went 300 miles, find how many hours it took the knight to travel from one kingdom to another.
Let t represent the time in hours travelled each day.
Total distance travelled in day one = 10t
Total distance travelled in day one = 20t
Hence:
10t + 20t = 300
t = 10 hours
Total time = 10 + 10 = 20 hours
It would take the brave night 20 hours on his horse from one kingdom to another in 2 days.
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what is the slope of a line that is parallel to the line whose equation is y=4/5x-3
Answers
Answer: 4/5
Step-by-step explanation: For a line to be parallel to another line there must be two conditions true.
Condition 1: Both lines must have the same slope (i.e the same x in the form y = mx + b)
Condition 2: Both lines must have different y-intercepts (i.e different b in the form y = mx + b)
Thus, if you are looking for the slope of the line parallel to y = 4/5x - 3, we can look at condition 1, and see that the slope should also be 4/5 for the other line.
Can u guys please give me the correct answer
Answers
Answer:
Step-by-step explanation:
angle on a straight line is 180
angle of 1 = 180 -110
=70
answer me with step by step details please
Answers
Answer:
31 3/4 %
Step-by-step explanation:
There are 100 squares so each square is a percent. There at 31 full squares colored and it looks like 3/4 of 1 square.
18. Which TWO linear inequalities are shown in the
graph below?
y
A.
B.
C.
D.
E.
F.
G.
H.
y> -2
y < -2
x<-2
X > -2
x+y<1
x-y<-1
x+y>1
x-y> -1
Answers
Answer: A and H
Step-by-step explanation:
y=x+1 is shaded below and dotted, so [tex]y < x+1 \implies x-y > -1[/tex].
Also, y=-2 is dotted and shaded above, so it represents [tex]y > -2[/tex]
Determine the current through each of the LEDs in the circuits below. Which LED will be
glowing the brightest? Which LED will be the most dim?
Answers
a. [tex]I = 6. 1[/tex] × [tex]10^-4[/tex] A
b. [tex]I = 2. 6[/tex] × [tex]10^-3[/tex] A
c. [tex]I = 0. 04[/tex] A
The LED which would glow brightest is LED C with the greatest current and voltage
The LED which would be the most dim is LED B with low voltage and consequently low current.
How to determine the currentThe formula for finding current
I = V/R
Where v = voltage
R = resistance
A. V = 12V
R = 4. 7 + 15 = 19. 7 kΩ = 19700 Ω in series
[tex]I = \frac{12}{19700}[/tex]
[tex]I = 6. 1[/tex] × [tex]10^-4[/tex] A
B. V = 9V
R = 4. 7 + 1 = 4. 7 kΩ = 4700Ω in series
[tex]I = \frac{12}{4700}[/tex]
[tex]I = 2. 6[/tex] × [tex]10^-3[/tex] A
C. V= 12V
1/R = [tex]\frac{1}{750} + \frac{1}{1200} + \frac{1}{950 }[/tex] = [tex]3. 22[/tex] × [tex]10^-3[/tex]
R = [tex]\frac{1}{3. 22 * 10 ^-3}[/tex] = 310. 56 Ω
[tex]I = \frac{12}{310. 56}[/tex]
[tex]I = 0. 04[/tex] A
It is important to note that the brightness of a bulb depends on both current and voltage depending on whether the bulb it is in parallel or series.
The LED which would glow brightest is LED C with the greatest current and voltage
The LED which would be the most dim is LED B with low voltage and consequently low current.
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calcula el volumen de la siguiente figura altura 30 cm diámetro mayor 16 cm diámetro menor 4 cm
Answers
The volume of the shape will be 5652cm³.
How to calculate the volume?The given values are:
Height = 30cm
Large diameter = 16cm: Radius = 16/2 = 8cm
Small diameter = 4cm; Radius = 4/2 = 2cm
The volume will be:
= (3.14 × 8² × 30) - (3.14 × 2² × 30)
= 6028.8 - 376.8
= 5652cm³
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Ali says 2 + 3 = 5, so 0.2 + 0.03 = 0.5. Is he correct? Why?
Answers
Answer:
No he's not correct.
Step-by-step explanation:
If you look closely the 2 and the 3 in the decimals are in different sections so it would not equal 0.5
It would equal 0.23
If (one month) I make a total of 10 hours of calls at Standard hours , how much more or less will I pay for basic contact than for premium
Answers
The amount of money that you would pay less for basic contact is $15 while the amount you will pay more for premium =$465.
Calculation of the call rate per hourFrom the given table in the diagram, the cost of calls made for 10 hours at Standard time=
$6 × 10 = $60
The amount of calls done for basic contact is 3 hours per month for $15 . Total cost per month = 3×15= $45
The amount of calls done for premium contact is 15 hours per month for $35 . Total cost per month = 15× 35=$525
Ordinarily, you per $60 for standard call hours. This means that,
$60 - 45 = $15 less for basic contact and
$525 - $60 = $465 more for premium.
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Gabrielle is 12 years younger than Mikhail. The sum of their ages is 38. What is Mikhail’s age?
Answers
2m = 38 + 12 = 50
m = 50 / 2 = 25
Mikhail is 25 yo