Answer:
the measure of <UXW is 57°
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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plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
Find the slope of the line that passes through (8,6) and (4,15)
how to find radius of the base examples
Answer:
r=[tex]\frac{c}{2\pi }[/tex]
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
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:
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
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
At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?
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
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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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
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:
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:
how many times does 35 go into 78?
Answer:
It goes in 2 times
Step-by-step explanation:
Can i have branliest, so i can go up a rank?
Answer:
35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.
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
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:
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.
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
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 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]
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%
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOID ANSWER....
Answer:
x = 36
y = 37.95
Step-by-step explanation:
By geometric mean property:
[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]
By Pythagoras Theorem:
[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]
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
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:
The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?
Answer: 18 by8
Step-by-step explanation:
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 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 :)
Peter is calculating the interest earned on a
deposit of $275 in an account that earns 8%
simple interest after 12 years.
Answer:
a) He substituted 0.8 instead of 0.08.
b) $264
Step-by-step explanation:
The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264what is 3/5 divided by 1/2 as a reduced fraction