Answers
P = 20.6, I hope this helps you!!!!!
Using the sine rule, a/sin(A) = b/sin(B) = c/sin(C)
But we have to have at least two angles and two lengths to equate it to one another. We could find the third angle in this triangle to use as our second angle, but we do not know the value of x, so we have to find the second length.
To do that, we use Pythagoras theorem;
a^2 = b^2 + c^2
a^2 = 7^2 + 5^2
a^2 = 49 + 25
a^2 = 74
square root both sides to get rid of the square on a:
a = sqrt(74)
a ~ 8.60
Now we can apply our sine rule. Note that the lengths and angles are the ones opposite each other. For example, the corresponding angle of 8.60 is 90° and the one for 5 is x°.
So,
8.60/sin(90) = 5/sin(x)
8.60/1 = 5/sin(x), since sin(90) = 1
Make sin(x) the subject,
sin(x) = 5/8.60
sin(x) = 0.5814
x = sin^-1(0.5814)
x ~ 35.6°
Related Questions
Probability and Statistics
Acellus
The probability distribution for a
random variable x is given in the table.
Help Resources
-10
-5
0
5
10
15
20
.20
.15
.05
.1
Probability
.25
.1
.15
Find the probability that x> 5
Answers
The probability distribution for a random variable x is given in the table x > 5 is 0.5.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
The table
Now,
Using these facts, we can find the probability that x > 5 from the given table:
The possible values of x that are greater than 5 are 10, 15, and 20. We need to add their probabilities to get the probability of x > 5.
The probability of x = 10 is 0.25, the probability of x = 15 is 0.1, and the probability of x = 20 is 0.15. Adding them together, we get:
P(x > 5) = P(x = 10) + P(x = 15) + P(x = 20)
P(x > 5) = 0.25 + 0.1 + 0.15
P(x > 5) = 0.5
Therefore, the probability will be 0.5.
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If the perimeter of the rectangle below is cut in half, what is the area of the new rectangle?
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answers
A teacher decorated her classroom with 3 times as many balloons as paper fans. She used 12 fewer streamers than twice the number of paper fans. If the teacher had a total of 120 balloons, paper fans, and streamers, how many of each kind of decoration did she use?
Answers
Answer:
Hi– I didn't answer this problem but someone else did.
Step-by-step explanation:
https://brainly.com/question/23533871
A rectangular prism has the following dimensions.
length: 18 inches
width: 1 foot
height: 14 inches
If all the dimensions of this prism are tripled, what will be the surface area of the new figure?
7,632 in. 2
11,448 in. 2
3,816 in. 2
27,216 in. 2
Answers
Answer: 11,448
Step-by-step explanation: I’m not sure if this is correct but I saw this answer a few times on another website similar to Brainly, and I thought it could help you all, if it’s correct.
The surface area of new rectangular prism is 11448 square inches.
What is a rectangular prism?A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. It has 8 vertices, 6 faces, and 12 edges in which all the pairs of opposite faces are congruent.
For the given situation,
Length of the rectangular prism = 18 inches
Width of the rectangular prism = 1 foot = 12 inches
Height of the rectangular prism = 14 inches
All the dimensions are tripled, so multiply all the dimensions by 3.
Length, l = [tex](18)(3)[/tex]
⇒ [tex]l=54[/tex]
Width, w = [tex](12)(3)[/tex]
⇒ [tex]36[/tex]
Height, h = [tex](14)(3)[/tex]
⇒ [tex]42[/tex]
The formula of surface area of rectangular prism is
[tex]A=2(lw+wh+lh)[/tex]
⇒ [tex]2((54)(36)+(36)(42)+(42)(54))[/tex]
⇒ [tex]2(1944+1512+2268)[/tex]
⇒ [tex]2(5724)[/tex]
⇒ [tex]11448[/tex]
Hence we can conclude that the surface area of new rectangular prism is 11448 square inches.
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Help me with this.thank you
Answers
Answer: 3 miles.
Step-by-step explanation:
Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.
This will be:
= ¾miles × 4
= 3 miles
Therefore, Wilson walked a distance of 3 miles for the 4 days.
9. A shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below.
(w+5) inches
(w+4) inches."
(2w) inches
Which expression describes the volume, in cubic inches, of the box?
A. 2w3 + 9w + 20
B. 243 + 182 + 402
C. 2u2 + 18w + 40
D. 2w2 + 4w+5
Answers
Given:
The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.
To find:
The expression that describes the volume of the box.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=length\times breadth \times height[/tex]
Substituting the given values, we get
[tex]V=(w+5)\times (w+4) \times 2w[/tex]
[tex]V=(w^2+5w+4w+20)2w[/tex]
[tex]V=(w^2+9w+20)2w[/tex]
Using distribution property, we get
[tex]V=(w^2)2w+(9w)2w+(20)2w[/tex]
[tex]V=2w^3+18w^2+40w[/tex]
Therefore, the volume of the box is [tex]2w^3+18w^2+40w[/tex] cubic inches.
Note: All the options are incorrect.
A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process
Answers
Answer:
For this process, the capability index is 0.4444
Step-by-step explanation:
Given the data in the question;
Lower specification limit = 22.8 mm
Upper specification limit = 23.2 mm
The standard deviation σ = 0.15 mm
Mean μ = 23
capability index Cpk = ?
Now, Using the formula;
Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]
where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean
so we substitute
Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }
Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }
Cpk = min{ [ 0.4444 ], [0.4444] }
Therefore, for this process, the capability index is 0.4444
Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *
Answers
Answer:
x = 3 + 2p (2p is 2 times p)
Find the quotient: 2 2/3 ÷ 3 1/4
Answers
Answer: =32/39 (Decimal: 0.820513)
Step-by-step explanation: Hope this help :D
Please help, if you can use explanations would be much better
Consuela is a photographer and must mix a chemical in the ratio of chemical:water = 1:9. If she uses 15 fl oz of water in the mixture, how many fl oz of the chemical should she use
Answers
Answer:
x= 15/9 fl oz
Step-by-step explanation:
write the such that chemicals are on one side of : and water on the other
chemical : water
1 : 9
x chemical : 15 of water
now we know that
x/1 = 15/9 cross multiply to find x
x= 1*15/9 = 15/9 ≈ 1.67 fl oz
Emily works 8 hours and made $80. How much does she make if she works 30 hours? *
Answers
Answer:
$300
Step-by-step explanation:
hourly rate
80 / 8 = $10/hr
Working 30 hrs
30 * 10 = $300
Answer: She would make $300
Step-by-step explanation: If Emily worked 8 hours and received $80, that means she's being paid $10 an hour. Just multiply 30 x 10 and you'll get 300 :)
what is the answer
10^9
Answers
Answer:
1,000,000,000
Step-by-step explanation:
Answer:
1000000000
Step-by-step explanation:
Literally just 1 with 9 0's behind.
Daniel is very extraverted.He admits that he is not comfortable unless surrounded by other people,and he energetically pursues activities that require the company of others.His cousin Bill,about the same age,is very introverted.Bill is self-reflective and prefers more solitary pursuits.Regardless of their personality characteristics,which of the following is likely to contribute most to their long-term happiness?
A) They are good friends who are willing to help each other in difficult times.
B) They bought a lottery ticket together and were lucky enough to win a huge jackpot.
C) They both have jobs that require very little effort.
D) They both have very few responsibilities and are careful to avoid committing themselves to any community service.
Answers
Answer:
A is the most likely answer
Step-by-step explanation:
but how is this a math question?
Find the exact value of tan 270º in simplest form with a rational denominator.
Answers
Answer:
the tangent of 270 is undefined
Step-by-step explanation:
Tan is sin/cos
270 is at (0,-1), so the cos is 0 and sin is -1
tan is -1/0 which is undefined
LINK = REPORT
Simplify.
(-8^3)^2
A) (-8)
B) (-8)^5
C) (-8)^6
D) 16^3
And please answer this one if you can!
(4^3)^5
A). 4^-2
B). 4^3
C). 4^8
D). 4^15
I will give brainliest if the answer is right!
Answers
Answer:
Part 1:
(-8)^6
Part 2:
4^15
When raising a number to a power and then that value to another power, you can multiply the exponents.
Please help this is Science.
Answers
ILL GIVE BRAINLYEST TO WHOEVER IS CORRECT PLEASE
The dot plots show the amounts, in dollars, that two
waiters made in tips at different tables.
Waiter A: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Waiter B: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Which of the following statements is correct?
A. The mean for waiter B is higher than the mean for waiter A.
B. The mean for waiter A is the same as the mean for waiter B.
C. The mean for waiter A is higher than the mean for waiter B.
O D. There are more tips shown for waiter A than for waiter B in the dot
plots.
Answers
Answer:
A The mean for waiter B is higher than the mean for waiter A.
Answer:
The mean for waiter B is higher than the mean for waiter A.
Step-by-step explanation:
Test approved
Jeanne is making black beans and rice. She ha 3/4 cup black beans. Each serving requieres 3/16 cup of black beans. Jeanne will use the expression below to calculate how many servings she can make. 3/4 divided by 3/16 What expression can also be used to calculate the nimber of servings Janne can make?
Answers
Answer: G
Have a great day.
A cylinder has a height of 3 meters and a radius of 5 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
141.37 m^2
Step-by-step explanation:
V = (pi)r^2h
V = (3.14)(3 m)^2(5 m)
V = 141.37 m^2
NEED THE AGE OF HIDE
Situation: A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. N = Noe No = inital amount of C-14 (at time t = 0) N = amount of C-14 at time t k = 0.0001 t = time, in years
Answers
Answer:
54678 years
Step-by-step explanation:
angle d is a vertical angle to angle f. The measure of angle d is 53 degrees. What is the measure of angle f?
Answers
Answer:
53 degrees
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Angle D = Angle F as they are vertical angles :)))
Find the value of c such that lim f(x) exists.
f(x) = 4 – 0.5x. x < 2
√x+c. x > 2
Answers
Answer:
c=7
Step-by-step explanation:
because the limit exists and this is a piecewise function, we can assume that f(2) is a removable discontinuity and that both equations should be the same.
we can equal them to each other, plug in 2 for x and solve for c.
root(x + c) = 4 - .5x
root(2 + c) = 4 - .5(2)
root(2 + c) = 3
2 + c = 9
c = 7
What is the definition of mathematic
Answers
Answer:
Mathematics :Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.
Since the beginning of recorded history, mathematic discovery has been at the forefront of every civilized society, and in use in even the most primitive of cultures. The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs. Primitive tribes needed little more than the ability to count, but also relied on math to calculate the position of the sun and the physics of hunting.
Can someone solve this pls???
Answers
Answer:
i think is( C.) distance and speed
hoped i helped
Anyone know how to do this?
Answers
Answer:
any number that satisfies this equation is imaginary.
Step-by-step explanation:
if you take the square root of both sides to find x, you will get a negative 1 in the house. You can't have a negative number in the house, therefore, any number that satisfies this equation is imaginary.
What is the vertex of x2 + 8x + 12?
Answers
Answer:
(-4,-4)
YW :))
Or you could of just looked it up cause thats what I did!!
SOMEONE PLS HELP ME WITH ASAP
Answers
Answer:
area of trapezium in terms of x=1/2*x(x+3+x+1)
Step-by-step explanation:
Answer:
(x^2 + 2x) cm^2
Step-by-step explanation:
Area of trapezium = 1/2 (a+b)h
= 1/2 [(x+3)+(x+1)] (x)
=1/2 (2x+4)(x)
= 1/2 (2x^2 + 4x)
= x^2 + 2x
PLEASE HELP!! Find mCFD
180°
276
307
53°
Answers
Answer:
307°
Step-by-step explanation:
CF is a diameter of the circle. so, any arc connecting C and F has an arc angle of 180° (half-circle).
so, we need to add the arc angle FD.
we know the arc angle ED = 79°.
so, what is left to add is the arc angle FE.
the arc angle FE is the same as BC.
and the arc angle BC is the supplementary angle (means together they have 180°) to 132° :
BC = 180 - 132 = 48°
therefore,
the arc angle CFD = 180 + 48 + 79 = 307°
If y varies inversely as x, and y= 12 as x=2, how do you find the y for the x-value of 6?
Answers
Answer: X=4 and y=4
Step-by-step explanation:
Answer:
x =4
Explanation: As x and y are inversely proportional, the equation can be represented as x=k/y.
Substituting x=2 and y=12, we get 2=k/12=> k=12⋅2 => k=24.Equation can be represented as x=24/y. So, when y=6, we get x=24/6 => x=4
Identify all of the transformation effects on the graph of the function f(x) = x when f(x) is replaced with -f(x + 4) - 6.
A)
shifted up 6 units
B)
shifted down 6 units
shifted left 4 units
D)
shifted right 4 units
E)
reflected over x-axis
Answers
Answer: B,C E put as brainliest
Step-by-step explanation: