Answers
The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.
Given :
Given side AB in triangle ABC has length x.
The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.
The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:
[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]
Now, put the known values in the above equation.
[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]
[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]
AC = 2x
So, the correct option is D).
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Related Questions
Simplify the expression: 5+2a - (9+a)
Answers
Answer:
a - 4
Step-by-step explanation:
[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7
Answers
Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
_____
Additional comment
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).
the decimal equivalent of 14/26
Answers
Step-by-step explanation:
14/26
Cancel numerator and denominator with 2 ,
7/13 = 0.5384
Answer:
0.538
Step-by-step explanation:
14/26 is basically 14 into 26
pls help asap MIDSEGMENTS
Answers
Answer:
tttttttttttttttttttttttttttttttttttttttttttttt
A bicycle store costs $1500 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is $85. How many bicycles must the store sell each month to break even?
Answers
Answer:
30 bikes
Step-by-step explanation:
the profit from each bike is 50 so then you divide 1500 by 50 and you get 30
PLSSSSS HELPPPPP ASAAPPPP
Answers
Answer:
2 inches per hour
Step-by-step explanation:
The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour
Find the term-to-term rule of this sequence:5,6,8,12
Answers
Answer:
5,6,8,12,20,36,68
I’ve posted this so many times someone finish this so I can sleep and not wake up to another assignment
Answers
WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7
Answers
Answer: 4x + 3 = 39
Step-by-step explanation:
Because you don't know how much each pizza costs, you can write it as x.
You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.
That added up should equal 39 because thats how much he spent.
Answer: The answer is C ( 4x + 3 = 39 )
Step-by-step explanation:
4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.
1) 4x + 3 = 39
2) 4x = 39 - 3
You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)
4) 4x = 36
5) x = 36/4
You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.
6) x = 9
You divided 36/4 which will equal to 9
7) 4(9) + 3 = 39
4-7 questions need help
Answers
reflect the co ordinate (7,-5) in the y-axis
Answers
Answer:
(-7, -5)
Step-by-step explanation:
Hope this helps!
please help me!!!!!!
Answers
Answer:
S.I = P x R x T / 100
Step-by-step explanation:
therefore 8000 x 7 x 5 / 100 = 280000/ 100
= 2800
Please help me marking brainless
Answers
Answer:
9/12 & 5/12
Step-by-step explanation:
You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answers
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
40 cans of food. 30% of cans damaged. how many cans were damaged?
Answers
Answer:
12 cans were damaged
EXPLANATION:
Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
your answer to the nearest thousandth.
Answers
Answer:
376.991 cm²
Step-by-step explanation:
[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
Derive Surface Area of A CylinderIf you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 o 98
Answers
Answer:
TWO TRAINS IM SORRY LOLLL
Answer:
18 minutes
Step-by-step explanation:
What are the names of these polygons?
a)
b)
c)
d)
can anyone help pls?
Answers
The sports boosters club is having a bake sale to buy uniforms. They want to raise $250. They need to rent a booth for $20. How many dozen cookies will they need to sell if they charge $3 per dozen?
Which equation could be used to solve this problem?
A: 250 = 3 c - 20
B: 250 = 20 - 3 c
C: 250 = 3 - 20 c
D: 250 = 20 c - 3
Answers
Answer: A: 250 = 3c - 20
Step-by-step explanation:
A: 250 = 3c - 20
To reach their final stash of $250, they need to sell c cookies at $3 each, less the $20 for the booth.
what is the solution of the equation w^2=4/9? show work.
Answers
Answer:
w = ± [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )
w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]
Then
w = - [tex]\frac{2}{3}[/tex] or w = [tex]\frac{2}{3}[/tex]
What fraction of 1 km is 725 m?
Answers
Answer:
It is 725/1000.
Step-by-step explanation:
The fraction can be simplified but that will result in a loss of information about its accuracy.
have a great day!
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
Answers
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
https://brainly.com/question/12559989
A pot contains 3 1/3 cups of oatmeal.
How many 3/5 cup servings is this? How much will be left
Answers
Answer:
2 11/15
Step-by-step explanation:
Hope this helps please mark brainliest if I helped! Thanks
Simplify the expression. (1423 – 2x2 + 3x – 7) – (328 + 142 – 10)
Answers
Answer:
-2x^2+3x+956
Step-by-step explanation:
If you want to do math easier, just look up symbolab.com and it will show you the right answers and how to do the problems.
There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 240 minutes, what will the population be 480 minutes from now? bacteria
Answers
240 min 20,000
*480 min 40,000*
960 min 80,000
write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
Answers
Answer:
y = -3/5x + 2
Step-by-step explanation:
-1 = -3/5(5) + b
-1 = -3 + b
2 = b
y = -3/5x + 2
Simplify the following expression.
11/100 divided by 11/20
Answers
Same things to 11/20
Any math teacher here
Answers
Answer:
what's the question?
Step-by-step explanation:
Can someone pls help me
Solve for x
Please show your work
Answers
Answer:
Hence, the value of x is 9°
Step-by-step explanation:
7x + 14 = 9x - 4. [(Corres. ∠s]
⇛ 7x - 9x = -4 - 14
⇛-2x = -18
⇛x = -18÷-2
⇛x = 18/2
∴ x = 9
NOW,
7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.Read more:
Similar Question
find the measure of angle 1, given that AB || CD...
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Jenna has a cube with a volume of 5 cubic inches. If each dimension of the cube is tripled , what will be the volume of the enlarged cube?
Answers
[tex]\\ \sf\longmapsto V=5in^3[/tex]
[tex]\\ \sf\longmapsto side^3=5[/tex]
[tex]\\ \sf\longmapsto side=\sqrt[3]{5}[/tex]
[tex]\\ \sf\longmapsto side=2.2in[/tex]
Side gets tripled
New side=2.2(3)=6.6in[tex]\\ \sf\longmapsto Volume=6.6^3[/tex]
[tex]\\ \sf\longmapsto Volume=287.4in^3[/tex]
Answer:
135 in³Step-by-step explanation:
If the side of the cube is s and volume is 5 and you triple the side then:
V₁ = s³ = 5The enlarged cube has the volume:
V₂ = (3s)³ = 3³*s³= 27s³ = 27*5 = 135 in³