Answers
Answer:
(a) To find the missing angle, we would do inverse tan.
[tex]angle =tan^{-1}\frac{opp}{adj}[/tex]
[tex]angle = tan^{-1}\frac{17}{21}[/tex]
angle= 39.0 degrees or 0.7 radians
(b) To find the missing angle, we would do inverse sin.
[tex]angle= sin^{-1}\frac{opp}{hyp}[/tex]
[tex]angle= sin^{-1}\frac{12.7}{22.1}[/tex]
angle= 35.1 degrees or 0.6 radians
Related Questions
There are books of three different languages on the bookshelves of one section of a library. The three different languages are Chinese, Malay and Tamil. Chinese books make up
6/10
of the books. The number of Malay books is 7 times more than the number of Tamil books. If there are 56 Malay books, how many books are there altogether in this section of the library?
Answers
Answer:
There are 160 books in this section of the library
Step-by-step explanation:
to solve this problem you need to set up a ratio.
since there are 7 times Malay books the number of Tamil books, you can say that
x = # of Tamil books
7x = # of Malay books
next, you know that there are 56 Malay books so you can substitute.
7x = 56
x = 56/7
x = 8
x = # of Tamil books
8 = # of Tamil books
now you know that there are 56 Malay books and 8 Tamil books. Chinese books make up 6/10 of the library so the other languages must add up to 4/10 of the books.
56 + 8 = 4/10 of the total books
64 = 4/10 of total books
if you call the total books T you can make this equation:
64 = 4/10T
64 * 10/4 = T
160 = T
if raymond had 50 dogs and gets 80 how many does he have?
Answers
Answer:
50+80 = 130
Step-by-step explanation:
Answer:
50+80=130
Step-by-step explanation:
please mark me the brainiest
can anyone help me with this question, i dont really understand how to do pls help me
Answers
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
Solve these equation
4(3-x)=(1-2x)
Answers
To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.
[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]
[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]
[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]
Combining like terms, we get,
[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]
[tex]:\implies\tt{11 = 2x}[/tex]
[tex]:\implies\tt{2x = 11}[/tex]
[tex]:\implies\tt{x = \frac{11}{2} }[/tex]
[tex]:\implies\tt{x = 5.5}[/tex]
The value of x is 5.5Hey there!
4(3 - x) = (1 - 2x)
4(3) + 4(-x) = 1 - 2x
12 - 4x = 1 - 2x
-4x + 12 = -2x + 1
ADD 2x to BOTH SIDES
-4x + 12 + 2x = -2x + 1 + 2x
SIMPLIFY IT!
-2x + 12 = 1
SUBTRACT 12 to BOTH SIDES
-2x + 12 - 12 = 1 - 12
SIMPLIFY IT!
-2x = -11
DIVIDE -2 to BOTH SIDES
-2x/-2 = -11/-2
SIMPLIFY IT!
x = 11/2
Therefore, your answer should be:
x = 11/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x - 4|?
Answers
Answer:
right... C.
Step-by-step explanation:
Determine the solution to the system of equations below.
x - 3y = 1
3x-5y = 11
Pls answer for 50 brainlist!!
Answers
Answer:
[tex]\boxed{\sf{x=7 \quad y=2}}[/tex]
Step-by-step explanation:
To solve this problem, isolate it on one side of the equation.
x-3y=1 and 3x-5y=11x-3y=1: x=1+3y
x=1+3y
Substitute.
x=1+3y= 3(1+3y)-5y=11
Solve.
3+4y=11
Subtract by 3 from both sides.
3+4y-3=11-3
Solve.
11-3=8
Rewrite the problem down.
4y=8
Divide by 4 from both sides.
4y/4=8/4
Solve.
8/4=2
y=2
x=1+3y
x=1+3*2
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract1+3*2
Multiply.
3*2=6
Add.
1+6=7
x=7
Therefore, the correct answer is x=7 and y=2.I hope this helps you! Let me know if my answer is wrong or not.
Is 6km bigger then 54,000mm?
Answers
Answer:
Yes
Step-by-step explanation:
To answer this question, we will need to know how many millimeters are in a kilometer.
1 km = 1,000,000 mm
Therefore, 6km is WAY bigger than 54,000 mm
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answers
Answer:
top:32
bottom:73.5
Step-by-step explanation:
no need to rate or give brainlyest just wanted to help
Jasmine got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 23 cents per yard. If after that purchase there was 19.71 left on the card, how many yards of ribbon did jasmine buy?
Answers
Answer:
23 Yards
Step-by-step explanation:
So for this question, we would have to start off with writing an equation: 19.71+0.23x=25 once we subtract 19.71 on both sides, the left over sum of money will be 5.29. Since we are dealing with BOTH Dollars and Cents, it should be remembered to use 23 CENTS instead of Dollars. [tex]\frac{5.29}{0.23}[/tex]= 23 so the finals answer is 23 yards.
Answer:
23 Yards
Step-by-step explanation:
So for this question, we would have to start off with writing an equation: 19.71+0.23x=25 once we subtract 19.71 on both sides, the left over sum of money will be 5.29. Since we are dealing with BOTH Dollars and Cents, it should be remembered to use 23 CENTS instead of Dollars. = 23 so the finals answer is 23 yards.
For a project in her Geometry class, Naomi uses a mirror on the ground to measure
the height of her school building. She walks a distance of 12.25 meters from the
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the school clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.
Answers
Answer:
8.28
Step-by-step explanation:
we can express this question as
12.25/1.7=x/1.15
this can be simplified to
x=8.28
The height of Naomi's school building is 8.29 meters
Concept of similar triangles:
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
In the given question and attached figure we have,
BC = 12.25 metersCD = 1.7 metersDE = 1.15 metersNow we have to find the height(AB) of the building,
By the properties of similar triangles, we can write,
AB / BC = DE / CD
Putting all the values we get,
AB / 12.25 = 1.15 / 1.7
Simplifying we get,
AB = (1.15 / 1.7) × 12.25
By further simplifying,
AB = 8.29 meters
Therefore, the height of Naomi's school building is 8.29 meters.
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explain whether each equation is a linear equation.
Answers
Answer:
3. Not linear
4. Linear
Step-by-step explanation:
3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.
4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.
Find the 12th term of the geometric sequence 1, -4, 16,
Answers
Answer:
a₁₂ = - 4194304
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{-4}{1}[/tex] = - 4 , then
a₁₂ = 1 × [tex](-4)^{11}[/tex] = - 4194304
Will give brainly if right
Answers
Answer:
60.61
Step-by-step explanation:
the missing angle is 51 degrees
we can say sin74/x = sin51 / 49
now we just solve for x.
x = 60.61
The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain? ; 13.5 mg ; 34.6 mg ; 0.2 mg ; 4.6 mg
Answers
The required equation f(10) = 13.52 mg remains.
We have given that ,
m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60
What is the fromula for he amount of a radioactive substance remaining after t years?The amount of a radioactive substance remaining after t years is given by the function
[tex]f(t)=m(0.5)^{t/h}[/tex]............ (1),
where m = initial mass and h= half-life in years.
Now, for Cobalt-60, h = 5.3 years, m = 50 mg and t = 10 years,
then from equation (1) we get,
[tex]f(10)=50(0.5)^{10/5.3}[/tex]
Therefore the required equation f(10) = 13.52 mg .
To learn more about the mass of radioactive substance visit:
https://brainly.com/question/25793075
Answer:
The required equation f(10) = 13.52 mg remains.
We have given that ,
m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60
What is the fromula for he amount of a radioactive substance remaining after t years?
The amount of a radioactive substance remaining after t years is given by the function
............ (1),
where m = initial mass and h= half-life in years.
Now, for Cobalt-60, h = 5.3 years, m = 50 mg and t = 10 years,
then from equation (1) we get,
Therefore the required equation f(10) = 13.52 mg .
To learn more about the mass of radioactive substance visit:
brainly.com/question/25793075
The difference of x and 7 is at most -28. Translate the sentence into an inequality
Answers
Answer:
x - 7 [tex]\leq[/tex] -28
Step-by-step explanation:
I guarantee you that this is correct. It's pretty simple to understand.
Please mark Brainliest. :)
show work please and no links
Answers
Answer:
man it’s one in the morning and your picture is blurry a f
Step-by-step explanation:
for every 1/2 cup portion of baby cereal you will need 4 oz of milk. how many ounces of milk will you need to prepare 20 portions
Answers
Answer:
80 oz
Step-by-step explanation:
20 portions times 4 oz is 80 oz
10 people each wants 3 slices but a box has 8 slices
Answers
Answer:
you need 30 slices
a minimum of 4 boxes of pizza
Step-by-step explanation:
Please answer these questions:
a) What are the 2 features that make this shape a square?
b) A quadrilateral has no pairs of parallel sides. What 2 shapes could this be?
c) A triangle has one pair of equal sides and one pair of equal angles. What is it called?
Answers
Answer:
A. 1. The sum of all interior angles is equal.
2. All sides are equal in length.
B. Trapezium.
C. isosceles triangle.
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 classrooms, what would be the average number of students in each room?
Answers
Answer:
26.8
Step-by-step explanation:
Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.
Total students that were divided into 4 classrooms :
33.5 × 4 = 134
So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.
134 ÷ 5 = 26.8
So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .
Hope this helped !
Sonia has only dimes and nickels in her coin jar; they are in a ratio of 3 to 5. IF she had 120 coins in the jar, how many are dimes? PLEASE HELP
Answers
Answer:
45 dimes and 75 nickels
Step-by-step explanation:
3 ÷ 8 × 120 = 45
you divide the three by both ratios summed up (8) and then you multiply that by the coins
doing so will you can get 45
and to get the amount of nickels you just subtract 45 from 120 and you get 75
Write the expression t = 8 + 2h to represent the
temperature change for that day. Circle all of the expressions below that are equivalent to T
t=8+2h
a. t = h + 8 + 2h
c. t = 4h + 6 - 2h + 2
b. t= 8 + h + h
d. t = 8 - 2h
Answers
A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm
Answers
Answer:320 cubic cm
Step-by-step explanation: if you multiply 16x20m you get 320 cm
[tex]\sqrt{180}=a\sqrt{b}[/tex]
please help
Answers
arah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined.
How far does Sarah walk on Wednesday?
Answers
Answer:
10.68
Step-by-step explanation:
3.1+1.35=4.45 4.45×2.4=10.68
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2. 7 hours with a standard deviation of 0. 4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2. 3. Which of the following shows the correct z-statistic for this situation? -3. 87 -0. 26 3. 23 5. 22.
Answers
The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex]population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex] = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
Learn more about z statistic here:
https://brainly.com/question/27003351
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on a number line
Answers
Answer:
I think your adopted and nobody loves you
Step-by-step explanation:
X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.
Answers
Answer:
53°
Step-by-step explanation:
poiuytredfghjkl........
Answers
Answer:
yes you are correct
Step-by-step explanation:
not sure what you mean but yea
y=-3х +6
у= 9
What is the solution to the system of equation
Answers
Answer:
The answer to your problem is x=-1,y=9
Step-by-step explanation:
(-1,9)