Answers
Given:
A right angled triangle.
To find:
The value of x.
Solution:
We have,
Base = x
Hypotenuse = [tex]\sqrt{5}[/tex]
In a right angle triangle,
[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]
For the given triangle,
[tex]\cos 45^\circ= \dfrac{x}{\sqrt{5}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}[/tex]
Multiply both sides by [tex]\sqrt{5}[/tex].
[tex]\dfrac{\sqrt{5}}{\sqrt{2}}= x[/tex]
[tex]\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x[/tex]
[tex]\dfrac{\sqrt{10}}{2}= x[/tex]
Therefore, the required value of x is [tex]\dfrac{\sqrt{10}}{2}[/tex].
Related Questions
What is the rule for the reflection?
ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. ry=–x(x, y) → (–y, –x)
Step-by-step explanation:
What is the unit rate for 46$ for 5 toys
Answers
Answer:
The unit rate is $9.20 per toy
Step-by-step explanation:
Since the total of the toys is 46, you divide by 5, to see how much each toy is
Two large and 1 small pump can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool? Please help me answer I'm in 5th grade and this is so hard.
Answers
Answer:
Let's define.
L = rate at which the large pump fills the pool.
S = rate at which the small pump can fill the pool.
We have two relations:
"Two large and 1 small pump can fill a swimming pool in 4 hours."
(2*L + S)*4h = 1
"One large and 3 small pumps can also fill the same swimming pool in 4 hours."
(L + 3*S)4h = 1
Then we have the system of equations:
(2*L + S)*4h = 1
(L + 3*S)4h = 1
To solve this system, we need to isolate one of the variables in one of the equations, i will isolate S in the first equation:
S = 1/4h - 2*L
Now we can replace that in the second equation:
(L + 3*(1/4h - 2*L))4h = 1
L + (3/4h) - 6*L = 1/4h
-5*L = 1/4h - 3/4h = -2/4h
L = (2/4h)*(1/5) = (2/20h) = 1/10h
This means that one large pump needs 10 hours to fill one pool.
With this, we can find the value of S:
S = 1/4h - 2*L = 1/4h - 2/10h = 5/20h - 4/20h = 1/20h
This means that a small pump needs 20 hours to fill a pool.
Now we can answer:
How many hours will it take 4 large and 4 small pumps to fill the swimming pool?
We need to solve the equation:
(4*(1/10h) + 4*(1/20h))*T = 1
We need to find the value of T.
T = 1/((4*(1/10h) + 4*(1/20h)) = 1.67 hours.
This means that 4 large and 4 small pumps need 1.67 hours to fill a pool.
What is the solution of the system of equations {6y=−4x−2 2y=−2x−4?}
in an ordered pair
Answers
Answer:
Step-by-step explanation:
2y=−2x−4
6y=−4x−2
Multiply first equation with -2
-4y=4x+8
6y=-4x-2
2y=6
Y=3
Substitute value of y in equation 2
6y=−4x−2
6*3=-4*x-2
18=-4x-2
20=-4x
X=-5
(-5,3)
Your parents take your family out to dinner on a Wednesday night when they have a 15% off coupon. Your parents wanted to give the waiter a 18% tip for doing a great job. If the total amount of the dinner was $42.00, how much tip money should the waiter get? What is the new total? **Tip is given before the discount**
Answers
Answer:
a. Tip is before the discount so the waiter will get;
= 42 * 18%
= $7.56
b. New total;
Coupon of 15% off applies;
= 42 * (1 - 15%)
= $35.70
Add the tip;
= 35.70 + 7.56
= $43.26
i just wanted to make sure my answers are correct could someone tell me if they are or not correct or tell me which ones are wrong?
Answers
14. Is B
16. Is B
correct
what is the percent decrease from 9,000 to 0
Answers
Answer:
-100%
Step-by-step explanation:
Answer:
-100
Step-by-step explanation:
I got u bro
Look at the arithmetic sequence below. Use the boxes to create a recursive formula for the sequence. 18, 21, 24, 27, 30, 33... Response area =
Answers
Answer:
we have:
u(1) = 18
u(2) = 21 = 18 + 3
u(3) = 24 = 18 + 3.2
u(4) = 27 = 18 + 3.3
.......
=> the sequence has: u(1) = 18
d = 3
=> u(n) = 18 + 3(n - 1) = 3n + 15
so the recursive formula for the sequence is u(n) = 3n + 15
Step-by-step explanation:
h*es on me left and..
Answers
Answer:
gl*ck 9 put em out like a light
Step-by-step explanation:
Coupe tinted like a thief in the night
write an equation for each line in slope intercept form
Answers
Answer:
(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly kcharacterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness
Step-by-step explanation:(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness
Help me please due 10 minutes
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Identify the simplest form of each ratio.
36 : 48
48 : 42
20 : 30
16 : 14
9 : 12
56 : 49
24 : 32
24 : 36
18 : 27
Answers
Answer:
38:48=3:4
48:42= 8:7
20:30= 2:3
16:14=8:7
9:12=3:4
56:49=8:7
24:32=3:4
24:36=2:3
18:27=2:3
Helpppp I’ll give you a star
Answers
Answer:
b
Step-by-step explanation:
b
What is the value of x
a 10
b -12
c -10
d-9
Answers
D.K.G.S. and B are five points on line / • KG + GD = KD • SD + DB = SB KS + SG = KG What is the order of the points from left to right based on their position along line 1? A B, D, G, K, S B K, G,D,S, B C KG,S,D,B D K,S, G,D, B
Answers
Answer: K,S,G,D,B
because KG + GD = KD => G is between K and D
SD + DB = SB => D is between S and B
KS + SG = KG => S is between K and G
=> The order of the points from left to right is K,S,G,D,B
Step-by-step explanation:
in drop down menu one - 8, 6, or 5.5
in drop down two - 10.5, 8, 5.5
in drop down three- 33, 22, 11
HELP
Answers
plz help Find a pattern for the sequence. Use the pattern to show the next two terms. 20 17 14 11...
Answers
Answer:
8,5
Step-by-step explanation:
20,17,14,11,8,5,2,
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8
Answers
Answer:
x = -2, x = 6
Step-by-step explanation:
18 = 3|x - 2| + 6
12 = 3|x - 2|
4 = |x - 2|
4 = x - 2 and -4 = x - 2
x = 6 and x = -2
Answer:
C
Step-by-step explanation:
x = -2 x = 6
got it right on EDGE
can someone please help me!!
Answers
Answer:
The probability is
Step-by-step explanation:
11%
The critical points of a rational inequality are -1, 3, and 4. Which set of points can be tested to find a complete
solution to the inequality?
x= 1 and x = 3.5
x= -1, x= 3, and x = 4
O x = -2, x = 2, and x = 5
O x= -3, x= 1, x= 3.5, and x = 5
Nexty
Save and Exit
Submit
Mark this and return
Answers
Answer:
It's D I got it right
Step-by-step explanation:
I know
Answer:
D
Step-by-step explanation:
x = –3, x = 1, x = 3.5, and x = 5
i dont know. can I help myself
Answers
Answer:
You can help yourself. Just be calm and meditate often, i recommend before going to bed
Step-by-step explanation:
Help
Find the value of X
Answers
Answer:
x=11
Step-by-step explanation:
since the triangle is an isosceles triangle, angle 2 should be angle 42 so,
2x+20=42 degrees
2x=22
x=11
what is 60 divided by 95 (or is it the other way around?)
Answers
Answer:
it would be 95 divided by 60
Step-by-step explanation:
but the answer to that is 1.5833333333333333333
Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needs to separate the pudding into individual 4-ounce cups. How many total individual pudding cups can Harper make?
Answers
Given :
Total amount of pudding made, T = 5 pounds.
Size of each cup, s = 4 ounces.
To Find :
How many total individual pudding cups can Harper make.
Solution :
Let, n number of pudding cups can filled with 5 pounds pudding.
We know, 1 pound = 16 ounces.
So, 5 pounds = 16×5 = 80 ounces.
Now,
[tex]n = \dfrac{80}{s}\\\\n = \dfrac{80}{4}\\\\n = 20 \ cups[/tex]
Therefore, 20 cups can be filled with 5 pounds of pudding.
i'm stuck, plsss help ASAPP!!! :))
Answers
Answer:
15 units
Step-by-step explanation:
[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
d = 14.866
d = 15
SOMEBODY PLS HELP ILL MARK U BRAINLIEST
Answers
Answer:
- 16x + 3y
Step-by-step explanation:
this can be done in two ways- vertical method or horizontal :
I did one:
( i hope this is right)
URGENT‼
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
I. 10 yards
II. 44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Option A: I, only
Option B: II, only
Option C: I and III
Option D: II and III
Answers
The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228
What is kilometer ?"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."
Given,
(i) 10 yards
1 yard = 0.0009144
then 10 yard = 10*0.0009144 = 0.009144 km
(ii) 44,880 feet
1 feet = 0.00030478
then 44,880 feet = 44,880*0.00030478 = 13.678 km
(iii) 15,560 yards
15,560 yards = 15,560 *0.0009144 = 14.228 km
Hence, D is the correct option.
To know more about kilometer here
https://brainly.com/question/9135515
#SPJ2
HELPP PLEASEE!!
three times the sum of a number and 9 is 8
use the variable W for the unknown number
Answers
What percent of 50 is 20?
O 40%
O 2.5%
O 25%
O 4%
Answers
the way i solved this was by turning 20% into a decimal, then multiplying 50 * .20 = 10, then subtracted the 10 from 50
can someone help! with this please.
Answers
y=7x+5
y=4x+25
the only time the bags would match prices would be a bag that weighs 6.667 pounds and it would be worth $51.67