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
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
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
Help me please due 10 minutes
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
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
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:
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:
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
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)
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:
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.
can someone please help me!!
Answers
Answer:
The probability is
Step-by-step explanation:
11%
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:
HELPP PLEASEE!!
three times the sum of a number and 9 is 8
use the variable W for the unknown number
Answers
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)
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
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
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
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
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
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
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
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
What is the value of x
a 10
b -12
c -10
d-9
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,
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.
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
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
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
Helpppp I’ll give you a star
Answers
Answer:
b
Step-by-step explanation:
b
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