find the missing side lengths. leave your answers as radicals in simplest form.
will mark brainliest answer!!!
x=?
y=?
Answers
Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 4
and
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )
y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 2
Related Questions
what is 50x9 pls help
Answers
Answer: 450
Step-by-step explanation:
say you remove the 0 out of 50, so you have 5 x 9. 5 x 9 = 45. Take the 0 you took out earlier, than add it to the end of 45, there's your answer. 450
Step-by-step explanation:
Multiply:
50×9
⇛25 + 25 × 5 + 4
⇛50 + 9
⇛450 Ans.
Find the slope-intercept form of the equation of a line satisfying the condition
Passing through (2,-4) and (7,-3)
Answers
-3 + 4/7 - 2
1/5 is the slope
What is the median for this list of numbers? 11, 23, 43, 22, 9, 15
Answers
Median x˜ 18.5
that is the answer.
pls pls pls help please please
Answers
Answer:
pretty sure it's 65
Step-by-step explanation:
They're usually congruent for these type of angles. Also, y would be 50
Answer:
x = 50°
Step-by-step explanation:
y = 65° because the base angles of an isosceles triangle are equal
x = 50° because angles in a triangle add up 180°
65 + 65 = 130180 - 130 = 50°What is the solution to the following equation? Show all work.
3(x+2)-2x =-2(x-3)+3x
(1) No Solutions
(3) x=2
(2) Infinite Solutions
(4) x=-3
Answers
Answer:
No solutions
Step-by-step explanation:
I hope my answer help you.
divide -3 1/3 by 1 1/5
Answers
Decimal form: -0.6
Complete the ordered pair so that it is a solution of 2/3x + y - 1 = 0. (-6, ___) 3 4 5
Answers
Answer:
(- 6, 5 )
Step-by-step explanation:
Substitute x = - 6 into the equation and solve for y
[tex]\frac{2}{3}[/tex] (- 6) + y - 1 = 0 , that is
- 4 + y - 1 = 0
y - 5 = 0 ( add 5 to both sides )
y = 5
Then solution is (- 6, 5 )
Question
Need help rn
Use the figure to find the measures of the numbered angles.
∠1 = °
∠2 = °
Answers
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
[tex]180-107[/tex] [tex]73[/tex]Therefore, m∠2 = 73 degrees.
• We do not have any angle-line relationships for angle 2. However, we know that line a and b are parallel lines giving the picture. If we look at line a, we know that it is a line, so its interior angle measure is 180° by definition of a straight line.
• So, we know that angle 1 = 107°, and we know that angle 2 must add to 107° to sum up to the angle measure of line a of 180°.
• We can call angle 2 “x” because it is unknown.
•We can create the following equation to solve for the measure of angle 2:
1.) 107+x=180
2.) 107-107+x=180-107
3.) X=73.
Therefore, the angle measures of angle 2 = 73° because 107+73 = 180.
members of a softball team raised 1405.25 to go to a tournament. they rnted a bus for 822.50 and budgeted 27.75 per each players . write and solve an equation which can be used to determine x , the number of players the team can bring to the tournament
Answers
Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.
Given the Parameters :
Total amount raised = 1405.25Bus rent = 822.50Amount per player = 27.75We could represent the expression to calculate the number of players thus :
Total amount raised = (Bus rent + (amount per player × number of Players))
1405.25 = 822.50 + 27.75x
1405.25 - 822.50 = 27.75x
582.75 = 27.75x
x = (582.75÷27.75)
x = 21 players
Therefore, the Number of players would be 21.
Learn more : https://brainly.com/question/16102577
Fill in the blanks in three different ways to create an
equation that has one solution, no solution, and infinitely many solutions.
7x + 3x + 10 = -2 (__x+__)
Answers
-2(-5x - 5)
Step-by-step explanation:
7x + 3x + 10 = -2(_x + _)
10x + 10 = -2(_x + _)
10x + 10 = -2(-5x + -5)
Expand and simplify
Z(2z+1)+z(4z+5)
Answers
Answer:
Z(2z+1)+z(4z+5)
[tex]2 {z}^{2} + z + 4 {z}^{2} + 5z[/tex]
[tex]6 {z}^{2} + 6 {z}[/tex]
[tex]6z(z + 1)[/tex]
1. Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
A. 35
B. 36
C. 37
D. 38
E. 39
Answers
3+5=8
8+6=14
14+7=21
21+8=29
29+9=38
f(x) = -x^2+ 6x -10
write each function in vertex form and give the vertex
Answers
Answer:
Vertex form: f(x) = – (x – 3)² – 1
vertex: (3, -1)
Step-by-step explanation:
Given the quadratic function, f(x) = -x²+ 6x -10:
where a = -1, b = 6, and c = -10
The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula: [tex]h = \frac{-b}{2a}[/tex]
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-6}{2(-1)} = 3[/tex]
Therefore, h = 3.
Next, to find the k, plug in the value of h into the original equation:
f(x) = -x²+ 6x -10
f(x) = -(3)²+ 6(3) -10
f(x) = -1
Therefore, the value of h = -1.
The vertex = (3, -1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
f(x) = a(x - h)² + k
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
If a is positive, the graph opens up.If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (3, -1) into the vertex form:
f(x) = – (x – 3)² – 1
This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.
solve x/3 = 1.5 show working out
Answers
Answer:
x = 4.5
Step-by-step explanation:
[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )
x = 3 × 1.5 = 4.5
May I please receive help?
Answers
Line 1:
0 - -3 = 3
8 - -4 = 12
3/12 = 1/4 (slope)
Line 2:
6 - 2 = 4
-1 - 0 = -1
4/-1 = -4 (slope)
Line 3:
-7 - -4 = -3
6 - -3 = 9
-3/9 = -1/3 (slope)
The slope of lines 1 and 2 are perpendicular. For slopes to be perpendicular, the numerators and denominators must be switched and the signs need to be opposite.
The slope of lines 1 and 3 are neither parallel nor perpendicular.
The slope of lines 2 and 3 are neither parallel nor perpendicular.
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.70 and the cost of a large greeting card is $4.65. How much would it cost to get 3 small greeting cards and 5 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
Answers
So it would cost $28.85 to get 3 small greeting cards and 5 large greeting cards.
Because (1.70 * 3) + (4.65 * 5) = 28.85.
It would cost 1.70*xx to get xx greeting cards. And 4.75*yy to get yy greeting cards.
can someone give me the coordinates that each option should be placed at??? hurry please!
Answers
Answer:
x = -10
Step-by-step explanation:
-2x - 10y = 20 (plug y=0)
-2x = 20
x = 20/-2
x = -10
Maybe can I have some help?
Answers
I don’t get this question at all
Answers
Answer:
-12
Step-by-step explanation:
Answer:
-8(-4+x)
Step-by-step explanation:
This is because the value of all the numbers never changes. Because
"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.
Hope this helps! :)
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answers
Answer:
46
Step-by-step explanation:
1 sum 42+4
if the outcome of event a is not affected by event b, then events a and b are said to be
Answers
it takes two people to make two bikes in 2 hours how many people does it take to make 12 bikes in 6 hours
Answers
Answer:
Step-by-step explanation:
2 people make 2 bikes in 2 hours so 2 people can make 1 bike in 1 hour
So in 6 hours, 2 people can make 6 bikes.
So to make 12 bikes we need 2*2 = 4 people.
For the pair of similar triangles, find the value of x.
2x8
x+8
24
The value of x is a
(Simplify your answer. Use a comma to separate answers as needed.)
Answers
Answer: x = 22
Step-by-step explanation:
Compare the 2 triangles
[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]
Cross multiply
(2x-8) (x+8) = 45 x 24
2x^2 + 16x - 8x - 64 = 1080
2x^2 + 8x - 64 - 1080 = 0
2x^2 + 8x - 1144 = 0 ---> divide by 2
x^2 + 4x - 572 = 0
(sum and product)
x^2 - 22x + 26x - 572 = 0
x(x - 22) + 26(x - 22) = 0
(x + 26) (x - 22) = 0
x + 26 = 0
x = -26
x - 22 = 0
x = 22
The dashed triangle is the image of the solid triangle after a dilation centered
at the origin. What is the scale factor of the dilation?
A) k= 1/2
B) k= 2
C) k= -1/2
D) k= -2
Answers
__________
will give BRAINLIEST!!!!!!
3 3/4 X 1 2/5 do a step by step explanation please and also you have to make it so you convert it into an improper fraction first... please answer!!!
Answers
Answer:
5 1/4
Step-by-step explanation:
To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.
Answer:
99/5
Step-by-step explanation:
CONVERT INTO:
33/4 x 12/5
MULTIPLY THE FRACTIONS:
(33x12)
--------------
5
CANCEL TERMS:
(33x3)
-----------
5
SIMPLIFY:
99/5
Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?
Answers
Answer:
7*7=49
Step-by-step explanation:
x2y
7*2*9
=129
7*9
=63
9*2
=18
7*2
=14
7*7
=49
PLEASE HELP ITS DUE REALLY SOON AND IM REALLY DESPERATE JUST ANSWER ANY QUESTION THAT YOU CAN AND PLS TELL ME WHICH ONE IT WAS. I WILL GIVE BRAINLIEST 5 STARS AND A THANKS PLS OMG :C SORRY THERE IS NOT A LOT OF POINTS :cCC
Answers
4. A: y= 2x + 6
B: y= x + 9
5. (3,12)
6. C: a pizza with 3 toppings will equal $12 at either restaurant
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answers
Answer:
B. 31.4
Step-by-step explanation:
To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):
SOH, CAH, TOA
sin(θ) = opposite ÷ hypotenuse
Sub in the values (we don't know the hypotenuse so i've called it x):
sin(35) = 18 ÷ x (multiply both sides by x)
x × sin(35) = 18 (divide both sides by sin(35))
x = 18 ÷ sin(35) = 31.38204...
x ≈ 31.4
Hope this helps!
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answers
In a triangular prisim how many vertices does it have
Answers
Answer:
6
Step-by-step explanation: