We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.
We have two angles and opposite sides to these angles.
We will use Law of Sines to solve our given problem.
[tex]\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}[/tex], where a, b and c are opposite sides corresponding to angles A, B, and C respectively.
The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.
Upon substituting these values in Law of Sines, we will get:
[tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex]
Therefore, our required equation would be [tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex].
Solve for x:
[tex]x-2(x-\frac{3}{2}x)=2(4-x)+10[/tex]
Answer:
[tex]x = \frac{9}{2}[/tex]
Step-by-step explanation:
x - 2 (x - [tex]\frac{3x}{2}[/tex]) = 2 (4 - x) + 10
x − 2 × [tex]\frac{-x}{2}[/tex] =2(4−x)+10
x−(−x)=2(4−x)+10
x+x=2(4−x)+10
2x=2(4−x)+10
2x=8−2x+10
2x=−2x+18
2x+2x=18
4x=18
[tex]x = \frac{18}{4}[/tex]
[tex]x = \frac{9}{2}[/tex]
5 people visited SmashBurger. Each person bought a hamburger (h) and a bottle of water (w). Write an expression that shows the amount of hamburgers and bottles of water were purchased.
Answer:
Total amount of hamburgers and bottles of water = 5 h + 5 w = 5 (h + w)
Step-by-step explanation:
Since each person in the group of 5 people bought a hamburger (h), and a bottle of water (w), we can write for the total of hamburgers plus bottles of water:
Total = 5 h + 5 w = 5 (h + w)
What are some good note for Notes for Median and mean
Answer:
To find the Median arrange the data in order from least to greatest then find the middle number. To find the middle number cross of one from the front and one from the bcak. If there are 2 numbers left in the middle add those numbers together and them divided the sum by 2.
The mean is the average of the numbers. It is easy to find. First, add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
What is the second part of the process of investigating a question using
data?
A. Making an inference
B. Describing the data
C. Rephrasing the question
D. Collecting the data
The second part of the process of investigating a question using
data is Collecting the Data.
We have given that options,
A. Making an inference
B. Describing the data
C. Rephrasing the question
D. Collecting the data
We have to determine which option is correct for
The second part of the process of investigating a question using
data.
What is the second part of the process of investigating?The investigative process is a progression of activities or steps moving from evidence-gathering tasks.
Therefore in this case second part of the process of investigating is collecting the data.
To learn more about the investigation visit:
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Answer: B. Describing the data
Step-by-step explanation:
Sandra found the difference of 12.7 – 4.705. She added the difference to 1.06. What is her final answer?
Answer:
9.055
Step-by-step explanation:
12.7 - 4.705 = 7.995
7.995 + 1.06 = 9.055
Answer:
9.055
Step-by-step explanation:
12.7 - 4.705 = 7.995
7.995 + 1.06 = 9.055
What is the domain of the function y = Vx+6 - 7?
If you were to plug x = -6 into the equation, you'd find the x+6 portion turns to 0. Any smaller x value is not allowed because x+6 would be negative. We cannot take the square root of a negative value to get some real number.
Put another way, solving [tex]x+6 \ge 0[/tex] leads to [tex]x \ge -6[/tex]
In terms of transformations, [tex]y = \sqrt{x}[/tex] becoming [tex]y = \sqrt{x+6}[/tex] means the graph has been shifted 6 units to the left. The original domain [tex]x \ge 0[/tex] becomes [tex]x \ge -6[/tex], as the domain has also shifted the same 6 units.
Visually, the left most point on the graph will directly determine the smallest domain value. The domain is the set of all allowed x inputs.
The -7 at the end does not affect the domain at all. We can replace it with anything you want, and the domain will still be the same. This value affects the range only.
The table shows values of f(x) What is f(2)? f(x) = 4, 2, 3, 9, 1 x= 0, 1, 2, 3, 4
there's no way to answer this because you didn't specify the domain and range (x,y)
sorry again for asking this but can someone explain this and give me the answer. Been having a hard time learning this.
Hey!!!
In question no.4, we have to subtract the equation.
In question no.5 we have to add the equation.
Hope it will help you...
Have a great dayThis morning, Tammy's car had 15.03 gallons of fuel. Now, 4.9 gallons are left. How much fuel did Tammy use?
Answer:
10.13
Step-by-step explanation:
15.03-4.9=10.13
Answer:
10.13 gallons
Step-by-step explanation:
Here, you want to use subtraction
15.03-4.9
4.9 is that same as 4.90
So if we use a subtraction table...
15.03
04.90 -
--------
10.13
This works because I have taken away a digit from the 2nd colum
(Where the 5 was) and I replaced it with a 4 (which isn't shown in my workings). This digit I took away I put next to the 0 in the 3rd colum so I could successfully take away way 10 from 9.
Although the answer is 10.13, remember to state the gallons! So the proper answer should be 10.13 gallons!
Hope this helps!
A marketing researcher is investigating where consumers go to shop for produce. In a survey, consumers are asked to choose where they are most likely to shop for produce: the supermarket, the farmers market, or the superstore. The surveys are handed to customers at the entrance of a local supermarket. Why is this an inaccurate survey method?
A.
The surveys should be handed out at a superstore; not at the supermarket.
B.
The surveys should be handed out in the produce section; not at the entrance.
C.
The surveys should be handed out at a neutral location; not at the supermarket.
D.
The surveys should be handed out at a farmers market; not at the supermarket.
Answer: C.
Step-by-step explanation:
Answer:
The correct answer, I’m pretty sure, is c?
Lol, I hope I helped!!
Elsa drove 245 m in 4.5 h. How many hours will it take her ti drive 650 m?
Answer: It took 65 hours for her to drive
Step-by-step explanation:
Which pair shows equivalent expressions?
3(x+2) = 3x+6
3x + 2x = x2(3+2)
3x+2 - 3(x+2)
-3(2+ )--6-3
Answer:
the answer is 3(x+2) = 3x=6
Step-by-step explanation:
3(x+2) = 3x+6 = 3 multiplies by x=3x 3 multiplied by 2=6 so it would be 3x+6
3x + 2x = x2(3+2)= 3x+2x= 5x its impossible to do 2x multiplies by 3 cause there is no similar variables there needs to be x in both
3x+2 - 3(x+2)= same as above there's no similar variables
-3(2+ )--6-3= this just doesnt work at all
Answer:
3(x+2) = 3x=6
Step-by-step explanation:
100 points i will mark brainliest for fist correct answer
Answer:
Equal, equal, not equal, not equal
Step-by-step explanation:
A) Equal, because they have the same height and base. To find the area of a triangle, you use "(b+h)/2". In this situation, the "b" and the "h" are equal.
B) Equal, as they also have the same height and base. To find the area, you use b*h, and they are equivalent.
C) Not equal. The two lengths given are not equal.
D) Not equal. The two triangle's heights are equal, but their bases are not. If you look at the second triangle, you can see that if is further from the triangles' intersections. This means that the base is larger than the one on the left.
I need help please as soon as possible
Answer:
0
Step-by-step explanation:
1 1/8 + 1/8 is 1 2/8 or 1 1/4
you subtract 1 1/4 minus 5/4 which is 1 1/4
Answer:
0
Step-by-step explanation:
9/8 + 1/8 = 10/8
5/4-5/4 = 0
a company makes cones out solid foam. each cone has a height of 12 inches, and it's base has a diameter of 3 inches. how much foam is needed to make 150 cones
Solid foam indicates that the cones are made purely out of foam, meaning there is no air or empty space besides the holes in the foam.
So, this means that we are solving for the volume of a cone and then multiplying it by 150 to find out how much foam is required for 150 cones.
V = πr^2(h/3)
π = 3.14
r = 1.5
h = 12
Now, we can plug in our values to solve for volume.
V = 3.14(1.5^2)12/3
V = 3.14(1.5^2)4
V = 3.14 x 2.25
V = 7.065
Round it to the nearest hundredths.
7.065 --> 7.07
Lastly, multiply by 150.
7.07 x 150 = 1,060cm^3 of foam
Thus, 1,060cm^3 of foam is required to make 150 cones.
HELPPP
If x=-1, which quadrant does the point (2x,-x) lie in?
Answer:
Second
Step-by-step explanation:
x=-1
(2x, -x)
(2*-1, - -1)
(-2 ,1)
(negative, positive) is in the second quadrant
II | I
-------|----------------
III | IV
Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually. Determine the amount needed in the account for Tami to do this. Round to the nearest cent. a. $115,052.98 b. $103,641.00 c. $91,651.92 d. $93,759.91 Please select the best answer from the choices provided A B C D
Answer:
Answer:
Option c -$91,651.92
Step-by-step explanation:
Given : Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually.
To find : Determine the amount needed in the account for Tami to do this.
Solution :
We apply the present value formula to get the amount,
Where, PV is the present value ,the required amount
P is the principal P=$10,364.10
r is the rate r=2.3% annually, r=0.023
n is the time n=10 years
Substitute in the formula,
Therefore, The amount needed is $91651.92.
Hence, Option c is correct.
Read more on Brainly.com - https://brainly.com/question/3432251#readmore
Step-by-step explanation:
The graph of g(x)=x^2 was transformed to create the graph of h(x)= -(x/4)^2. Which of these describes the transformation from the graph of g to the graph of h?
F. A reflection over the x-axis and a horizontal stretch
G. A reflection over the y-axis and a horizontal stretch
H. A reflection over the x-axis and a vertical stretch
J. A reflection over the y-axis and a vertical stretch
Answer:
F. A reflection over the x-axis and a horizontal stretch
Step-by-step explanation:
Using Desmos, a well-known graphing-calculator website, you can input the two equations. You can see that the h(x)= -(x/4)^2 equation does in-fact reflect over the x-axis and is wider than x^2, meaning that it has a horizontal stretch.
70% of Mr. Austin's students like Geometry. 35% like both Algebra and Geometry. What percent of those who like Geometry also like Algebra?
A. 50%
⊝
B. 35%
⊝
C. 70%
⊝
D. 30%
Please help I’ll give branliest answer
Answer:
Either Impossible question or B
Step-by-step explanation:
2 Ideas...
B because the question states that 35% like both Algebra and Geometry. The question then goes on to ask "What percent of those who like Geometry also like Algebra?" which is stated in the above (35%)
Or...
It is a trick question (although that isn't an option so it is less likely)
Because 75+35 = more than 100
Hope this helps
5 points
An airplane approaches an airport. At a certain time, the plane is 1020m
high. Its angle of elevation measured from the airport is 20.5 degrees.
How far is the plane from the airport to the nearest meter? *
A-2728
B-2913
C-1089
D-3
Answer:
2728.11m
Step-by-step explanation:
The height of the plane is 1020m
The airport makes an angle of elevation of 20.50° with the plane
The distance of the plane from the airport = ?
See attached document for better illustration of the position of the plane and airport
Using SOHCAHTOA,
tanΘ = opposite/ adjacent
θ = 20.50°
opposite = 1020m
adjacent = ? = x
Tanθ = opposite/ adjacent
Tan20.50 = 1020 / x
X = 1020 / tan20.50
X = 1020 / 0.37388
X = 2728.11m
The distance of the plane from the airport is 2728.11m
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
Answer:
The answers 15
Step-by-step explanation:
You just subtract Q1 from Q3
So for the first its: 45 - 30 = 15
and the second one is 50 - 35 = 15
Which expression should replace the box to finish the expanded form of 387.926?
2 × 1100
20
0.02
20 × 110
Answer:
0.02
(or 2 x 1/100)
Step-by-step explanation:
Number:
387.926
The number '2' in this number is in the hundredth place.
*Remember, it is a decimal so in expanded form it is multiplied by a fraction*
Therefore, it is written as 2 x 1/100 or 0.02
Answer:
its 2x1/100
Step-by-step explanation:
i got it correct
PLZ HELP I NEED THE RIGHT ANSWER ASAP!!!!!!!!
Answer:
B. 66
Step-by-step explanation:
[tex]\frac{1}{x}(2x + 192)[/tex] Substitute x = 3
[tex]\frac{1}{3} (2 *3+192)[/tex] Multiply in the parentheses
[tex]\frac{1}{3}[/tex](6 + 192) Add
[tex]\frac{1}{3}[/tex](198) Multiply
66
The spinner shown below is used to play a game.
4
5
3
6
2
7
1
8
What is the probability that the arrow will land on a number greater than 5?
3/5
3/8
5/8
1/3
Does anyone know the answer? thank you!
Answer:
x= c - b / 3a
Step-by-step explanation:
3ax + b = c
3ax = c - b
x= c - b / 3a
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
What is Maya’s biking speed?
PLZ HELP IN A BIG RUSH PLZ PLZ PLZ
Answer:
Maya's biking speed is 8 miles per hour.
Step-by-step explanation:
She can run 18 miles in 3 hours. That means she could run 6 miles in one hour. So, if she can ride her bike 18 miles in 2 hours she can bike 9 miles per hour.
If she bikes for 27 (3 hours) miles and runs 9 miles (1.5 hours) then taking the total of miles dividing it by the time you would get Maya's speed.
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A.
XY = 18 mm , YZ = 20 mm , XZ = 37 mm
B.
XY = 18 mm , YZ = 20 mm , XZ = 39 mm
C.
XY = 18 mm , YZ = 19 mm , XZ = 38 mm
D.
XY = 17 mm , YZ = 20 mm , XZ = 38 mm
NEED ANSWER ASAP!!!!!!
Answer: B and D
Step-by-step explanation:
Sum of 2 sides must be greater than the third side
please help! type of correspondence q's.
Answer:
See below in bold.
Step-by-step explanation:
A. (x + 7)^2 + (y - 7)^2 = 10.
This is the equation of a circle.
It is NOT a function
One to many correspondence.
B. y = x^2 + 2x - 3
This is a parabola which opens upwards.
It is a function.
For 2 values of x ( except at the vertex) there is one value of y so it is
many to one correspondence.
Help please I needed! Find the missing sides please attach your work!
Answer:
x = 32
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin 30 = 16/ x
Multiply each side by x
x sin 30 = 16/x * x
x sin 30 = 16
Divide each side by sin 30
x = 16/ sin 30
x = 16 / (1/2)
x = 32
Answer:
c, x = 32
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin 30 = 16/ x
Multiply each side by x
x sin 30 = 16/x * x
x sin 30 = 16
Divide each side by sin 30
x = 16/ sin 30
x = 16 / (1/2)
x = 32
please make me the brainliest
Which logarithmic equation is equivalent to the exponential equation below?
ea = 35
A. log35 2 = e
B. In 35 = a
c. log235 = 2.5
D.. In a = 35
Answer:
B
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]e^{a}[/tex] = 35, then
[tex]log_{e}[/tex] 35 = a, that is
ln35 = a → B