Answer:
25.734
Step of explanation:
tanjent =opposite/adjacent
cosine =adjacent /hypotenuse
sine =opposite /hypotenuse
this use tangent because the opposite number is there and we want to find adjacent
so t =opposite /adjacent
tan25 °=12/ a
a=12/tan25
=25.734
Can someone help with this I’ll mark u as brainlist
Answer:i don’t really k ow but i need points to ask questions
Step-by-step explanation:
In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Answer:
✔ 360°
Identify the following angle measures.
m∠2 = ✔ 60
m∠4 = ✔ 150
m∠6 = ✔ 90
Step-by-step explanation:
i just finished answering the question
Answer:
C
B
B
C
Step-by-step explanation:
for the lazy ppl
Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?
Answer:
4.8
Step-by-step explanation:
HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)
9514 1404 393
Answer:
8 3/4 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:
(10.5 h)/1.2 = 8.75 h
It will take 8.75 hours at the increased speed.
A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?
helpp pls
Answer:
Number of dimes in the bag = 90
Number of quarters in the bag = 186
Step-by-step explanation:
Let
x = Number of dimes in the bag
y = Number of quarters in the bag
= 2x + 6
Total = 276
276 = x + 2x + 6
276 = 3x + 6
276 - 6 = 3x
270 = 3x
x = 270/3
= 90
x = 90
Number of dimes in the bag = 90
Number of quarters in the bag = 2x + 6
= 2(90) + 6
=180 + 6
= 186
Total = Number of dimes in the bag + Number of quarters
= 90 + 186
= 276
plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia, but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added, given that 4 quarts equals a gallon
Answer:
The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz
Step-by-step explanation:
The volume of the ammonia and water mixture = 5 gallons
The percentage of ammonia in the mixture = 80%
The volume of ammonia desired = 5 gallons
The percentage concentration of ammonia desired = 50%
The diluting solution = Pure water
The measure of 4 quarts = 1 gallon
Therefore, we have, by equivalence solutions;
80% × x gallon = 50% × 5 gallons
x gallon = 50% × 5 gallons/(80%) = 3.125 gallons
x = 3.125 gallons
The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons
4 quarts = 1 gallon
1 gallon = 4 quarts
∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz
The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz
Answer:
7.5
Step-by-step explanation:
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
1 Which expression is equivalent to 1/3y?
A 1/3(y+12)-12
B 1/6y+1/3(y+3)
C 1/6y+1/6(y+12)-2
D 1/3y+1/3(6-y)
Answer:
D is your answer HOPE THIS HELPS THANK ME PLEASE
Step-by-step explanation:
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
|
V
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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HELP WILL MARK BRAINLIEST
Answer:
The answer is D: y = -2x + 6
Step-by-step explanation:
the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Help me find the area please!
Answer:
787.5
Step-by-step explanation:
Givens
The bottom part of the figure is a trapezoid. Solve it first
a = 15 cm
b = 34 cm
h = 19 cm
Formula
Area = 1/2 (a + b)*h
Solution Trapezoid
area = 1/2 (15 + 34)*19
Area = 1/2 * 49 * 19
Area = 465.5
Remark
The top half of the figure is a parallelogram.
Formula
Area = base * height
Givens
base = 23
height = 14
Solution
Area = 23 * 14
Area = 322
Total Area
Total Area = 322 + 465.5
Total Area = 787.5
What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%
cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.
A. 2,857.60
B. 38,577.60
C. 1,428.80
D. 5,715.20
Answer:
$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.
Step-by-step explanation:
Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation:
okay I need an answer to this from scale through 1 to 10 how much naughtier can my cat be like I need some good answers
Answer:
Wow your cat is so naughty but cute. On a scale from one to 10 I say 10
Step-by-step explanation:
This is why I dont have pets
help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]
Answer:
[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Step-by-step explanation:
To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].
Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:
[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]
[tex]=-cos(\pi)+cos(0)[/tex]
[tex]=-(-1)+1[/tex]
[tex]=2[/tex]
∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Hope this helps :)
how to find radius of the base examples
Answer:
r=[tex]\frac{c}{2\pi }[/tex]
Step-by-step explanation:
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?
There are 12 teams in the Jayhook Hockey League. Each team plays every other team twice per season, once at home and once away from home. Last season 34 of the matches played resulted in a tie. Of the others, 18 more were won by the home team than by the away team. 1: How many games did any one particular team play?
Answer:
Each team played 22 games.
Step-by-step explanation:
There are 12 teams in the league, so each team has 11 rival teams. Since each team will play against a rival team twice, that means that each team will need to play 11 x 2 = 22 games per season. Of these 22 games, 11 games will be played at home while 11 games will be played away from home.
We can calculate this by using the following formula:
Total number of games played by each team = (n - 1) x 2, where n is the total number of teams in a league.
Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?
Answer:
Total possibilities = 16
Probability of a dime of the first draw is 10/16 = 5/8
Probability of a penny on the second draw = 1/15
Probability of both = 5/8 * 1/15 = 1/24
Help me with this plz
Answer:
0.000032, 0.0000064
Step-by-step explanation:
Each is divided by 5
0.00032 and 0.00064
Step-by-step explanation:Think, each is divided by 5!
0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.
Posted By:
ehie, BenjiDev#3339
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68
If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.
Answer:
$30.38
Step-by-step explanation:
Final Price = Original Price - Discount
Final Price = 75 - 41.25
Final Price = $33.75
Then its the additional 10%
So now you make your original cost $33.75 to make it easier so
Final Price = Original Price - Discount
Final Price = 33.75 - 3.375
Final Price = $30.38
Final Answer: $30.38
The final price Kelly will pay round to the nearest cent is $30 38¢
What is percent?In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".
Now it is given that,
Discount = 55%
Additional discount = 10%
Original Price of Blue Sandals = $75
Original Price of Tan Sandals = $68
Since Kelly bought blue sandels,
So, discount on Blue Sandals = 55% of $75
⇒ discount on Blue Sandals = 0.55 * $75 = $41.25
So, Cost of Blue Sandals = $75 - $41.25
⇒ Cost of Blue Sandals = $33.75
Now there is additional discount of 10%
Additional discount = 10% of $33.75
⇒ Additional discount = 0.10% * $33.75
⇒ Additional discount = $3.375
Thus, Final Cost of Blue Sandals = $33.75 - $3.375
⇒ Final Cost of Blue Sandals = $30.375
Round to the nearest cent final cost of Blue Sandals = $30 38¢
Thus, the final price Kelly will pay round to the nearest cent is $30 38¢
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Find the slope of the line that passes through (8,6) and (4,15)
y + 12.5 = 21.7, y =
Answer:
y = 9.2
Step-by-step explanation:
21.7 - 12.5 = 9.2
Answer:
y = 9.2
Step-by-step explanation:
A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.
Answer:
[tex]a_c=4.17\ m/s^2[/tex]
Step-by-step explanation:
Centripetal Acceleration
It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.
Its magnitude can be calculated as follows:
[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]
Where:
v = tangential speed
r = radius of the circle
The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:
[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]
[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]
[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]