For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x
Answers
Answer:
3
Step-by-step explanation:
3 because 37° and 53° these sum is 90°.
Answer:
3. cos(53)=sin(37)
Step-by-step explanation:
let y be the third side
cos(53)= adj/hyp
=y/16
sin(37)=opp/hyp
=y/16
therefore, sin(37)=cos(53)=y/16
Related Questions
The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.
Answers
Answer:
y = 3x + 5
Step-by-step explanation:
The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?
a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
For this set, the correlation coefficient is = -0.015.
It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.
It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.
gyiftuerdtgyuhijovhfghdfgchbnm,
Answers
i’m pretty sure the answer is A:
A. 5/16
because 1/4 of 1 1/4 is 0.3125 which is 5/16 as a fraction.
0.3125 = 5/16
Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8
Answers
Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm
Answers
Answer:
exponential expression:
8ᵇ = 2
log8(2) = 0.333333333 or 1/3
Answer:
log8(2) = 1/3
Step-by-step explanation:
I don't know if they mean this by an exponential expression but:
set x = log8(2), then
8^x = 8^(log8(2))
By logarithmic properties:
8^x = 2.
notice that 8 = 2^3.
By exponential properties:
8^x = (2^3)^x = 2^(3x)
So 2^(3x) = 2 = 2^1.
Comparing exponents gives:
3x = 1 <=> x = 1/3.
So log8(2) = 1/3.
In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS
Answers
Answer:
60°
Step-by-step explanation:
sum of all angles is 180
and it's a right-angled triangle so there is angle = 90
so the other acute angle = 180-30-90=60°
Answer:
60
Step-by-step explanation:
90+30= 120
180-120= 60
Help help help help help help pls
Answers
Answer:
a.) 36
b.) 18
c.) 27
Step-by-step explanation:
Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?
Answers
Answer:
These are the statements. I need help to
Step-by-step explanation:
She is 1.5 times less likely to draw a vowel than a consonant.
She is 1.5 times more likely to draw a vowel than a consonant.
She is twice as likely to draw a consonant as a vowel.
Drawing a vowel and a consonant are equal likely.
PLZ HELP
Do the ones you know!
Answers
How many 1/3 yard lengths are in 1 yard
Answers
Answer:
3
Step-by-step explanation:
1/3 yard lengths times 3 equals 3 (or 1 yard).
There are 3 numbers of 1/3 yard lengths are in 1 yard.
What is the arithmetic operator?A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.
A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.
1 yard = 1/3 yard + 1/3 yard + 1/3 yard
The lowest common multiple of the right hand will be 3
So,
1 yard = (1 + 1 + 1)/3 yard
1 yard = 3/3 yards
1 yard = 1 yard
Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.
To learn more about the arithmetic operator
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Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00
Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.
________ ____ ______
Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?
A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls
Answers
Answer: B - 5 basketballs and 2 soccer balls
Step-by-step explanation:
Answer:B
Step-by-step explanation:
What’s the area? Please help :)
Answers
Answer:
252 sq. in.
Step-by-step explanation:
divide it into sections like this
12*15=180
3*6=18
6*9=54
then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.
Answer the following question:
Answers
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M). Express your answer as a set in the roster form: i.e. {a,b,c...}.
Answers
Answer:
Step-by-step explanation:
U={3,6,9,12,15,18}
M={3,12,18}
M'={6,9,15}
The answer is,
U={3,6,9,12,15,18}
M={3,12,18}
M'={6,9,15}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
here. given that,
U is the set of all multiples of 3 less than 20,
i.e. U={3,6,9,12,15,18}
and M={3,12,18},
Mc (the complement of M),
i.e. M'={6,9,15}.
Hence, we get, U={3,6,9,12,15,18} , M={3,12,18} & M'={6,9,15}.
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A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form
Answers
Answer:
uhhh
Step-by-step explanation:
Answer:
3.82 x 10
Step-by-step explanation:
divide 4 x 10^4 by 1.1 x 10^3
4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1
Use the Distributive Property to expand the expression -3(6.3x + 1.5y)
Answers
Answer:
(-3*6.3x)+(-3*1.5y)
(-18.9x)+(-4.5y)
-5b = -20 b= need help with homwork
Answers
Answer:
b = 4
Step-by-step explanation:
you must divide both sides of the equation by -5 to get b by itself. division cancels out multiplication but also keeps both sides equal
b = -20/-5
b = 4
hope this helped
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)
Answers
Substitute 49 for x
49 + 14 = 63
Hope this helps!
Answer:
49
Step-by-step explanation:
49 + 14 = 63
so that means:
x = 49
please help asap please
Answers
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
I need help with like 3 or 4 questions please help
Answers
Answer:
x=3y-6
Step-by-step explanation:
x−3y=−6
Step 1: Add 3y to both sides.
x−3y+3y=−6+3y
x=3y−6
Answer:
x=3y−6
That is the anwser trust me
what are the coordinates of the point X'if the image is rotated 90° counter clockwise
Answers
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative
Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375
Answers
Answer: C
Step-by-step explanation:
A music store marks up the instruments it sells by 30%.
If the price tag on a trumpet says $104, how much did the store pay for it?
Answers
A. $ 58.50
B. $ 80
C. No, it did not mark up 30%.
Step-by-step explanation:Since,
A. We have,
Mark up percentage = 30%
Actual price = $ 45,
B. We have,
SP = $ 104,
C. We have,
AP = $ 75,
SP = $100,
Thus, mark up percentage =
= 33.33 %
Hence, store did not mark up the price by 30%.
Solve for a .
5.4 = a - (-1.8)
a =
Answers
5.4-1.8=a
a=3.6
Answer:
3.6 = a
Step-by-step explanation:
5.4 = a - ( -1.8)
Distribute minus sign.5.4 = a + 1.8
Move constant to the left hand side and change their sign.5.4 - 1.8 = a
3.6 = a
if x =20 and y =40 then x and y are
Answers
Answer:
Are directly proportional
how to write exponents
Answers
Answer:
[tex]2\cdot2\cdot2[/tex] = [tex]2^{3}[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]Writing[/tex] [tex]exponents[/tex] [tex]is[/tex] [tex]fairly[/tex] [tex]easy.[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]5\cdot5\cdot5\cdot5\cdot5[/tex] = [tex]5^{5}[/tex] [tex]because[/tex]
[tex]there[/tex] [tex]are[/tex] [tex]5[/tex] [tex]fives[/tex] [tex]that[/tex] [tex]are[/tex] [tex]being[/tex] [tex]multiplied.[/tex]
[tex]---------------------------------[/tex]
[tex]Always[/tex] [tex]remember,[/tex] [tex]you[/tex] [tex]don't[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]whole[/tex] [tex]number[/tex] [tex]by[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]---------------------------------[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]6^{7}[/tex] [tex]does[/tex] [tex]not[/tex] [tex]equal[/tex] [tex]42[/tex] [tex]because[/tex] [tex]you[/tex] [tex]have[/tex] [tex]to[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]6[/tex] [tex]the[/tex] [tex]number[/tex] [tex]of[/tex] [tex]times[/tex] [tex]it[/tex] [tex]says[/tex] [tex]on[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]Which[/tex] [tex]means[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]six,[/tex] [tex]seven[/tex] [tex]times.[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?
A. (195 - 286) + 1.992 underroot46/45 + 58/40
B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40
C. (195 - 286)+ 1.992 underrot 140² 158²/45+40
D. (286 - 195) + 1.992 46 1582 45 +40
E. (195-286) +1.992 462 + 58 45 40
Answers
Answer:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
Step-by-step explanation:
Given that:
NEWER CARS:
Sample size = n1 = 45
Standard deviation s1 = 46
Mean = m1 = 195
OLDER CARS:
Sample size = n2 = 40
Standard DEVIATION s2 = 58
Mean = m2 = 286
Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025
Confidence interval is calculated thus : (newer--older)
(m1 - m2) ± Tcritical * standard error
Mean difference = m1 - m2; (195 - 286)
Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)
Standard error (E) = sqrt((s1²/n1) + (s2²/n2))
E = sqrt((46^2/45) + (58^2/40))
Hence, confidence interval:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
Given that:The first sample consists of owners of newer cars
First sample's size = [tex]n_1 =45[/tex]First sample's mean = [tex]\overline{x_1}=\$195[/tex]First sample's standard deviation = [tex]s_1 = \$46[/tex]The second sample consists of owner of older cars.
Second sample's size = [tex]n_2 = 40[/tex]Second sample's mean = [tex]\overline{x_2}=\$286[/tex]Second sample's standard deviation = [tex]s_2 = \$58[/tex]To find:95% confidence interval for difference between both samples' means.
Calculations and Explanations:Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.
The CI is given as:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)
Thus,
[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]
Learn more about confidence interval here:
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plz help !!!!! complete the function tables then graph
Answers
Answer:
Step-by-step explanation:
Mrs. Matthews wrote three math expressions on the board.
She asked her students which expression would result in a product greater than 7.
Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.
Answers
Answer:
expression 3
because expression 1 = 1
and expression 2 = 7
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?
F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5
Answers
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.
C = 5 over 9(F − 32)
C = 5/9 (F − 32)
To solve for F, first, we will multiply both sides by 9/5.
C × 9/5 = 5/9 (F − 32) × 9/5
9/5 C = F − 32
Now, we add 32 to both sides.
9/5 C + 32 = F − 32 + 32
9/5 C + 32 = F
F = 9 over 5C + 32
Answer:
F = 9 over 5C + 32
Step-by-step explanation: