F
14 cm
8 cm
xº
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answers
Answer:
[tex]x = 34.8^\circ[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we simply apply sin formula which is:
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
In this case, it is:
[tex]sin(x) = \frac{8}{14}[/tex]
[tex]sin(x) =0.5714[/tex]
Take arcsin of both sides
[tex]x = sin^{-1}(0.5714)[/tex]
[tex]x = 34.84791[/tex]
[tex]x = 34.8^\circ[/tex] --- approximated
Related Questions
The point (2, 20) lies on the graph of y = kx'. Write the value of k.
Answers
Step-by-step explanation:
Y = 20 , X = 2
put in the equation
Y = KX ( given )
20 = K × 2
20/2 = K
10 = K
My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest
Answers
Answer:
MONDAY: 2 hours
Tuesday: $34.65
Thursday: -54
Friday: 5 complete bags
Sorry that I did not do the question below wednesday but I still hope this helps.
Pls mark me brainliest.
x + 2y < -2
How do I graph this
Answers
Answer:
Put
[tex]x < - 2 - 2y[/tex]
Then put some of value to y and get x then we can graph it
Tera can jog 5.5 miles in 1
hour. At the same rate, how face can she jog in 2 hours
Answers
Answer:
11 miles
Step-by-step explanation:
if she can jog 5.5 miles in 1 hour, than in 2, she can jog 11 miles, because 5.5(miles) x 2 (hours) = 11
hope this helps :)
a brainliest would be appreciated
The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.
Answers
Answer:
24
Step-by-step explanation:
RSM
HELP ASAP. pls ❤️ if u do this i’ll luv u 4ever
Answers
Answer:
A' ( 2,3)
B' ( 5,5)
C ( 7,3)
D'(5,2)
please help
travelling 14m to the right first and travelling 19m to the left . calculate the final position
Answers
Answer:
5 meters to the left
Step-by-step explanation:
Given that :
First travel : 14 meters to the right
Second travel : 19 m to the left
Final position :
First travel - Second travel.
(14 m - 19m)
Final position = - 5 m
-5m = 5 meters to the left.
help would be great during these troubling times
Answers
Answer:
117 - 120 < -3
-3 < -3
False no
because it is not above -3
Step-by-step explanation:
Answer: No
Step-by-step explanation:
x = 9
y = 6
13x - 20y < -3?
Substitute the values of x and y
13(9) - 20(6) < - 3?
117 - 120 < -3?
-3 </ -3
-3 = -3
(9, 6) is not a solution
Find the length of side x in simplest radical from with a rational denominator.
Answers
Answer:
4
Step-by-step explanation:
The value of the hypotenuse x will be equal to √6.
What are trigonometric identities?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.
The study of correlations between triangles' side lengths and angles is known as trigonometry.
Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,
cosθ = Base / Hypotenuse
cos45 = √3 / x
x = √3 / ( 1 / √2)
x = √6
Therefore, the value of the hypotenuse x will be equal to √6.
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A number w increased by 6 is at least 24. Using an inequality
Answers
Answer:
x<24
Step-by-step explanation:
[tex]w + 6 \geqslant 24[/tex]
Find the missing angle measurement of a triangle with these angles:
45°, 35.8°, x°
Answers
a = 45 b = 35.8 c = 57.503
Will give brainliest if your right
A scientist conducts an experiment to observe the half-life period of the radioactive element barium. He starts the experiment with 200 grams of barium and records the mass at the end of every thirteen day. After how many days is the mass of barium closest to 1.5 grams?
Answers
Answer:
It would be 91 days
Step-by-step explanation:
Hope this helps :)
Which of the following expressions are equivalent to 0.7 * -4 * 0.4
Answers
Answer:
0.4
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation: Khan
please help!! i really need it.
ill give brainilest!!
Answers
Answer:
14
Step-by-step explanation:
i think it's 14. i hope i helped :)
I JUST DOD THE IMPOSSIBLE AND SOLVED A RUBIX CUBE IN 19 MOVES
Answers
Answer: see what you gotta do is/right/left/up/turn left/ down/up/down/down/ right up/ 2nd row turn left/ then do it all over again in you got it
Step-by-step explanation:
/right/left/up/turn left/ down/up/down/down/ right up/ ALSO CAN I BRAINLIEST IF I HELPED.
p is an odd number
explain why p^2 + 1 is always an odd number
Answers
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even
Find how many years it takes for money to triple when invested at an annual interest rate of 4.3% compounded continuously. That’s the entire question and I’m not quite sure what to do?
Answers
9514 1404 393
Answer:
25.5 years
Step-by-step explanation:
The multiplier for continuous compounding at annual rate r for t years is ...
e^(rt)
You want the value of t when that is 3 and r=0.043.
3 = e^(0.043t)
ln(3) = 0.043t
t = ln(3)/0.043 ≈ 25.549 . . . . years
How do I do this please help me
Answers
Answer:
Answer of first one is. = angle 3
answer of second one is = angle 4
answer of third one is = angle 2
angle of fourth one is = 5
and last.one is angle 1
The cost to rent a raft is $7 per person. A raft can hold up to 6 people. There is a $3 launch fee per raft. What is the total cost for a group of 6?
Before you tell me the answer tell me how do I explain how I got my answer :{
Answers
Answer:
$42 [$7/person*6 people]+$6[$3 launch fee/raft*2 rafts]
Step-by-step explanation:
$48 total
PLEASE MARK BRAINLIEST
NEED IT FOR A NEW RANK
ty in advance:D
Can you guys help me? please
Answers
Answer:
3 square root 2.
Step-by-step explanation:
I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96. If i round this up, it is 36.
What is the answer to 2 1/3 ÷ (-3 2/3) ?
Answers
Answer:
2 1/3 / (-3 2/3) = -0.636363636 AKA 0.636
Step-by-step explanation:
Step-by-step explanation:
[tex]2 \frac{1}{3} \div ( - 3 \frac{2}{3} )[/tex]
[tex] \frac{7}{3} \div ( - \frac{11}{3} )[/tex]
[tex] \frac{7}{3} \times ( - \frac{3}{11} )[/tex]
=
[tex] - \frac{7}{11} [/tex]
cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report
Answers
Answer:
[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1Step-by-step explanation:
Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolutionLet's rewrite the given as:
[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]Let the value is m and the expressions under 3rd roots are a and b, then we have
a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛bCube the both sides:
m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]Simplify in bits:
a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5So the expression becomes:
m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15mSolve for m:
m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real rootsThe answer is 1
Four siblings took turns babysitting their young cousin. If they divided the 5 hour shift evenly, how long did each one babysit for? Give the answer in hours and minutes.
Answers
. A and B are vertical angles. If mA = (5x – 28) and
mB = (3x + 4)º, find the measure of each angle.
Answers
Answer:
measure of both angles is 52°
x = 16
Step-by-step explanation:
5x - 28 = 3x + 4
2x - 28 = 4
2x = 32
x = 16
Plug in 16 for 'x': 3(16) + 4 = 48 + 4 = 52°
Answer:
Both are 56°
Step-by-step explanation:
5x-28=3x+4
x=16
5(16)-28= 56°
Jaxson drives 15 miles in 10 minutes. If he drove one hour in total at the same rate, how far did he go?
Answers
Answer:
90 miles
Step-by-step explanation:
15 miles/10 minutes = x miles/60 minutes
10*6=60 so 15*6=90
Can someone help me please thank you!
Answers
Answer:
135
Step-by-step explanation:
That's the answer.........
Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.
Someone help please!!
Answers
Answer: (x, y, z) = (-3, 2, 4)
In other words, x = -3, y = 2 and z = 4.
You'll enter the number only into each box.
===============================================================
Explanation:
There are a few routes we can take to solve this. I'll use substitution.
First let's isolate y in the second equation.
2x - y + 3z = 4
2x + 3z = 4+y
4+y = 2x+3z
y = 2x+3z-4
This is then plugged into the first equation
3x+2y+4z = 11
3x+2( y )+4z = 11
3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4
3x+4x+6z-8+4z =11
7x+10z-8 = 11
7x+10z = 11+8
7x+10z = 19 .... we'll call this equation (4) and come back to this later
--------------------------------------
Move onto the third equation (of the original equations given)
Plug in y = 2x+3z-4
5x - 3y + 5z = -1
5x - 3( y ) + 5z = -1
5x - 3( 2x+3z-4 ) + 5z = -1
5x - 6x - 9z + 12 + 5z = -1
-x - 4z + 12 = -1
-x - 4z = -1-12
-x - 4z = -13 ..... let's call this equation (5)
--------------------------------------
To recap, we found equation (4) and equation (5) to be
7x+10z = 19-x - 4z = -13We can then solve for x in equation (5) like so
-x - 4z = -13
-x = -13 + 4z
-x = 4z - 13
x = -(4z - 13)
x = -4z + 13
This is then plugged into equation (4)
7x+10z = 19
7(-4z+13)+10z = 19 .... note how we now have one variable
-28z+91+10z = 19
-18z+91 = 19
-18z = 19-91
-18z = -72
z = -72/(-18)
z = 4
We can use this value of z to find x
x = -4z+13
x = -4(4)+13
x = -16+13
x = -3
Use the values of x and z to find y. We'll revisit the first equation in which we isolated y
y = 2x+3z-4
y = 2(-3)+3(4)-4
y = -6+12-4
y = 6-4
y = 2
So overall, the solution to this system is (x, y, z) = (-3, 2, 4)
-------------------------------
Checking the answer:
We'll replace x,y,z with the values we found.
In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4) turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.
Tacos from the taco truck or 60% off on Tuesdays Erica by the taco for 1.50 on Tuesday she wants to know the regular price of a taco quick answer
Answers
Answer:
3.75
Step-by-step explanation:
i did the lesson its correct :)
Answer:
Regular Price: 100%
$3.75
Sale price: 40%
$1.50
Discount:
60%
$2.25
Which equation can be used to find the regular price, r, of a taco?
1.5 = 0.4r
Step-by-step explanation:
Read the answers correctly, or you might be typing in the wrong answer.
Everything is all correct, Thank me later :)
Which relation is a function?
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
Answers
Answer:
A
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
A function can be one-to-one and many-to-one but can not be one-to-many.
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can be one-to-one and many-to-one but can not be one-to-many.
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
This is not a function because we have one-to-many.
(1, 0) and (1, 1) are one-to-many.
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8).
This is a function because it satisfies the function.
The given relation are one-to-one.
C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
This is not a function because we have one-to-many.
(2, 7) and (2, 1) are one-to-many relations.
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
This is not a function because we have one-to-many relations.
(4, -2) and (4, 2) are one-to-many relations.
Thus,
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
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2(4x + 2) = 12
What is the first step?
Answers
Answer:
The first step is to distribute.
Step-by-step explanation:
2(4x + 2)= 12
8x + 4 = 12
You distribute the 2 to 4x and 2.
