<1 and <2 are complementary angles given m<1 = 12 find m<2 =
Answer:
m∠2=78°
Step-by-step explanation:
∡2=90°-∡1=90°-12°=78°, therefore ∡2=78°
The measure of ∠2 is 78°.
We have two angles ∠1 and ∠2 which are complementary angles such that ∠1 = 12°.
We have to find the measure of ∠2.
What are Complementary angles ?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
∠X + ∠Y = 90
According to the question, we have -
The measure of angle ∠1 = 12°.
Assume that the magnitude of ∠2 is x.
Then -
∠ 1 + x = 90°
x = 90° - ∠1
x = 90° - 12°
x = 78°
Hence, the measure of ∠2 is 78°.
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Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés
Answer:
the rate of interest is 11.7453%
Step-by-step explanation:
Given that
The present value is € 45,000
The Future value is €52,500
Time period 1 year, 4 months and 20 days i.e. 1.38809 years
We need to find out the interest rate
Here we apply the RATE formula in the spreadsheet
The formula is
= RATE(NPER;PMT;-PV;FV;TYPE)
The PMT would be zero
After applying the above formula, the rate of interest is 11.7453%
I need help plz will give brainliest alos need how u got the answer
Answer: B. x = 16/3
3/5x + 1/2 = 3/4x -3/10
minus 3/4x on both sides
-3/20x + 1/2 = -3/10
minus 1/2 on both sides
-3/20x = -3/10
multiply both sides by 20/-3
x = 16/3
Answer:
B) [tex]x=\frac{16}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}x+\frac{1}{2}=\frac{3}{4}x-\frac{3}{10}[/tex]
[tex]\frac{12}{20}x+\frac{10}{20}=\frac{15}{20}x-\frac{6}{20}[/tex]
[tex]\frac{10}{20}=\frac{3}{20}x-\frac{6}{20}[/tex]
[tex]\frac{16}{20}=\frac{3}{20}x[/tex]
[tex]16=3x[/tex]
[tex]\frac{16}{3}=x[/tex]
Therefore, your answer is B) [tex]x=\frac{16}{3}[/tex]
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEDIAN of the temperatures.
Answer:
81
Step-by-step explanation:
Pslss helpppp (any diffrent answer will be reported)
Someone help me out. So the question is Distance = Rate x Time What is the distance traveled if it took me 3 hours to travel at a rate of 60 miles per hour?
Answer: 180 miles
Step-by-step explanation:
From the question, we should note that the distance taken will be calculated by using the formula which will be:
Distance = Rate × Time
where,
Rate = 60 miles per hour
Time = 3 hours
Distance = 60 × 3
Distance = 180 miles
Therefore, the distance travelled is 180 miles.
PLS, I NEED HELP ASAP!!
Answer:
3x+18
Step-by-step explanation:
3 times x
3 times 6
3x
18
3x+18
Find the size of an angle which is five times it's supplement.
Answer:
i really dotn know like frl
Step-by-step explanation:
Find the rate of change
Answer:
25
Step-by-step explanation:
rate of change =change of distance/ change of time
so if you look at the chart you can see these points: (2,50) and (6,150)
change of distance would be 150-50/ change of time which would be 6-2 which equals 100/4 which is 25, the rate of change.
Which of the following best explains why cosine StartFraction 2 pi Over 3 EndFraction not-equals cosine StartFraction 5 pi Over 3 EndFraction
Answer:
B.)- Cosine is negative in the second quadrant and positive in the fourth quadrant.
Step-by-step explanation:
Answer:
B.) Cosine is negative in the second quadrant and positive in the fourth quadrant. i just took the quiz
Step-by-step explanation:
I hope this helped ;)
In a piggy bank, the number of nickles is 8 more than half the number of quarters. The value of the coins is $21.85. Determine the number of nickels.
Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
Joanie's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Joanie's curtain company wants to make 56 curtains, how many feet of fabric will she need?
1 inch =1/12 foot
Answer: 224 feet
Step-by-step explanation:
Each curtain is 48 inches long, and she wants to make 56 curtains.
However, the fabric store sells by the foot.
There are two ways to do this:
1) You can convert beforehand.
48 inches= 4 feet because 1 inch=1/2 foot.
Multiply 48 by 1/12 to find how many feet are in 48 inches.
= 48/12
=4
So 48 inches= 4 feet
Now, each curtain is 4 feet. There are 56 curtains to be made.
Now multiply by 4 to find how many feet are in 56 curtains.
56x4=224 feet.
Answer= 224 ft
Or: You can convert afterwards
48x56= how many inches in 56 curtains
= 2,688 inches
Then, convert to feet!
1 inch= 1/12 foot
2688 multiplied by 1/12:
=2688/12
=224 feet
Answer= 224 feet
Either way, you both get 224 feet.
3 A headline misreported
that 95% of students
purchased books for
class. By how many
percentage points was
the headline off?
The headline was off by 5 percentage points.
What is percentage ?
Percentage is a way of expressing a fraction or ratio as a number out of 100. It is a common way of measuring quantities or values that are relative to a whole. For example, if there are 100 students in a class, and 75 of them passed an exam, we can say that the pass rate is 75%, which means that 75 out of 100 students passed the exam.
To calculate a percentage, we can use the formula:
Percentage = (Part / Whole) x 100%
According to the question:
If the actual percentage of students who purchased books for class was different from the reported percentage of 95%, we can find the difference between the two percentages to determine how many percentage points the headline was off.
Let's say the actual percentage of students who purchased books for class was x%. Then the difference between the actual percentage and the reported percentage is:
Difference = |Reported percentage - Actual percentage|
Difference = |95% - x%|
For example, if the actual percentage was 90%, then the difference would be:
Difference = |95% - 90%|
Difference = |5%|
Difference = 5%
This means that the headline was off by 5 percentage points.
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What are the factors of 2x^2 - 10x + 12 ?
1) (x + 2) and (x + 3)
2) (x-2) and (x - 3)
3) (x + 6) and (x - 1)
4) (x - 6) and (x + 1)
Can someone please help me
Answer:
24
Step-by-step explanation:
show all steps solving this 2x^2=13x+7
Answer:
x = -1/2, 7
Step-by-step explanation:
2x^2 = 13x + 7
bring everything to one side: 2x^2 - 13x - 7 = 0
factor it out: 2x1 = 2 and -7x1 = -7.
-7x2 = -14 and 1x1 = 1
-14 + 1 = -13, so these numbers work
you end up with (2x + 1)(x - 7) = 0
solve each section:
2x + 1 = 0 x - 7 = 0
2x = -1 x = 7
x = -1/2
If the measure of two angles in a triangle are 60 and 100 degrees, what is the measure of the third angle? a. 20 degrees) b. 50 degrees) c. 30 degrees) d. 180 degrees)
Answer:
A. 20 degrees
Step-by-step explanation:
All triangles have 180 degrees in total !
using that info,
100+60= 160
180-160 = 20
9/2 - 23/9=? plss help
Answer:
35/ 18
(Decimal: 1.944444)
Step-by-step explanation:
Answer
Step-by-step explanation:35/18
The seventh grade class is putting on a verity shell to raise money it cost 1700 to rent the banquet hall That they are going to use. If they charge for $55 for each ticket, how many tickets do they need to sell in order to raise at least $2000 write an inequality that represents the situation.how many tickets do they need to sell?
Answer:
g
Step-by-step explanation:
for the following question, find the volume of the given prism. round to the nearest tenth if necessary
Answer:
D) 269.3
Step-by-step explanation:
Rectangular prism volume:
V = whl
V = (12.1)(5.3)(4.2)
V = 269.346
1-4) What is the point of intersection?
Answer:
Step-by-step explanation:
What is the volume of the solid figure?
Solid is made up of 2 cuboids. First cuboid has length as 15 in., height as 5 in. and width as 5 in. Second cuboid has length as 5 in., height as 10 in. and width as 5 in. HELP ASAP I HAVE 1- MINUTES LEFT!!!
Answer:
The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid
The volume of the solid figure = 15×5×5 + 5×5×10
Or, The volume of the solid figure = 375 + 250
Or, The volume of the solid figure = 625 inch³
Therefore, the volume of the solid figure = 625 inch³
Step-by-step explanation:
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A relation R={(4,3)(5,4)(6,5)}then write its inverse
Answer:
R'={(3,4)(4,5)(5,6)}
Step-by-step explanation:
R={(4,3)(5,4)(6,5)}
R'={(3,4)(4,5)(5,6)}
EASY 15 POINTS!
what is the area?
shape below
358 in^2
94 in^2
168 in^2
242 in^2
Answer:
Area of rectangle= 24 × 7 = 168
Area of trapezium = ((a+b)/2)h = 74
Total area = 168 + 74 = 242
Answer:
242in^2
Step-by-step explanation:
Area of parallelogram is
1/2(a+b)×h
a=13in
b=24in
h=4in
= 1/2(13+24)×4
=1/2(37)×4
so the area of the parallelogram is
=74in^2
Area of rectangle is
L×B
L=24in
B=7in
=24×7
=168in^2
so the area will be the sum of the area of parallelogram and rectangle
=74in^2+ 168in^2
=242in^2
On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?
Answer:
Probability of Sarah NOT selecting a mystery book = 0.67
Step-by-step explanation:
Probability helps to show how likely an event will occur;
The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.
We can take this route to solve this problem
The probability of picking an option from a broad list of alternatives can be calculated using the formula:
Probability = number of expected outcomes/ total number of options
For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.
The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.
We can get this by adding 6 + 5 + 4 + 3 = 18
Probability of Sarah selecting a mystery book = 6/18
Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67
plssss helppp 29 REWARD BRAINLIEST
Answer: 1. -5 because what you do on the left you do on the right
2. i believe it’s a disjuction bc its true if at least one of the statements that form it is true.
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69% of the album is empty, how many pages are filled with compact discs?
Answer:
41
Step-by-step explanation:
each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.
CAN SOMEONE PLZ HELP ME ON THIS ONE
Answer:
Both are true
Step-by-step explanation: When the letter has this (') that means it parallel
aka being mirrored
Richard and Kelly were racing. How many possible ways could the 2 friends place? They are the only racers.
what is y=-3x-5 in standard form?
Answer:
3 x-y=5
Step-by-step explanation: