The measure of the side [tex]x[/tex] is approximately 33 and the measure of angle [tex]Y[/tex] is approximately 12.321°.
How to find a missing angle in a triangle by law of sine and law of cosineIn this problem we must apply the law of cosine and the law of sine to determine the angle Y:
Law of cosine[tex]x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}[/tex]
[tex]x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}[/tex]
[tex]x \approx 33[/tex]
Law of sine[tex]\frac{\sin Y}{y} = \frac{\sin X}{x}[/tex]
[tex]Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)[/tex]
[tex]Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)[/tex]
[tex]Y \approx 12.321^{\circ}[/tex]
The measure of the side [tex]x[/tex] is approximately 33 and the measure of angle [tex]Y[/tex] is approximately 12.321°. [tex]\blacksquare[/tex]
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512
Rule: subtract 2 from x to get y
Answer:
x-2=y
Step-by-step explanation:
I have written the equation for the statement.
x-2 is subtract 2 from x than =y on the end
What is the slope
So technically this is the graph I picked a random answer but I dibt get how the slope is 4 can you guys please explain
the answer I got was 4
Answer:
4
Step-by-step explanation:
We can use the y-y/x-x formula.
We need to find two points that are a whole number.
(0,10) -- 0 is the x coordinate, 10 is the y coordinate.
(20,90) -- 20 is the x coordinate, 90 is the y coordinate.
10-90 = -80
0-20 = -20
-80/-20 as a whole number is 4.
The slope is 4.
James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The front and back will not be covered. What should the dimensions of the bookshelf be to maximize the volume and use all of the 6 ft board?
Answer:
width=x, length = y
(in ft)
3x + 2y = 6y>x
y = 1.5 , x= 1
1ft = 12 in 1.5ft = 18in
if x^2=36 and y^2=81 which of the following cannot be the value of x+y
A. -15
B. -3
C. 0
D. 3
E. 15
Answer: 0
Step-by-step explanation:
We can unsquare the squareroots:
x^2=36
Becomes
x=6 (because 6*6 is 36)
similarly,
y^2=81
Becomes:
y=9(because 9*9=81)
When you have a squareroot no matter if it’s negative or positive the result is a positive number.
Now we can solve and eliminate possible solutions.
For A) -9+(-6)=(-15)
For B) (-9)+6=(-3)
For D)(-6)+9=3
For E) 9+6=15
The only one that cannot be made is C)0
2.3g = 7.13 what is the answer to g?
Answer:
g=3.1
Step-by-step explanation:
If you want to do the math all you have to do is divide 7.13 by 2.3 and you get the answer
Please mark brainlest
Answer:
g=31/10
Step-by-step explanation:
First multiply both sides by 100RefineDivide both sides by 230Then simplifyHELP ASAP
A. Less then one gallon
B. Between 1 and 2 gallons
C. Between 2 and 3 gallons
D. More than 3 gallons
Answer:
1/4 each day would be 1 gallon every 4 days so for 5 days it would be 1 and 1/4 gallons so between 1-2 B
Step-by-step explanation:
solve the equation to find the value of the pronumeral
giving brainliest
#1
¹²³√a = 1 a = 1¹²³a = 1✅#2
b³ = 27 b = ³√27 b = 3✅#3
⁴√c = 2 c = 2⁴ c = 16✅I really really really really need help with this question
Answer:
When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.
Step-by-step explanation:
Like I explained above, when rotating a shape 90 degrees clockwise on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree counterclockwise rotation. That is why the student is incorrect.
I hoped this helped! Sorry, I am terrible at explaining things. :)
How do I solve this, it's not 10
Answer:
26.7
Step-by-step explanation:
This is the answer because 26.7/20 = (16+26.7)/32
When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.
To solve, you create a formula.
(16+x)/32=x/20
Multiply both sides by 32 to get rid of the 32 in the left side.
16+x=32x/20
Multiply both sides by 20 to get rid of the 20 right side.
320+20x=32x
-20x on both sides to get all the variables on one side and all the nukbers on the other.
320=12x
Divide both sides by 12 to get x by itself
x=26.66667
what is the product of 4/7 and 4/6?
Can anyone please help me with math pls
Answer:
Which maths
Step-by-step explanation:
pls type it
thx
I need help please thanks
Answer:
1,120
Step-by-step explanation:
L x W x H = 14 x 10 x 8
can i get brainley?
Mikey worked 8 hours on Wednesday, 6 hours on Thursday, and 7 hours on Friday. His gross pay for all three days was $187.95. What was his hourly rate
Answer:
$8.95
Step-by-step explanation:
8 + 6 + 7 = 21
$187.95 divided by 21 = $8.95
teh face of a circular game token has an area of 10pi cm to the second power. what is the diameter of the coin token. round to the nearest hundredth of a centimeter
Answer:
6.32 cm
Step-by-step explanation:
Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)
Given area = [tex]10\pi[/tex] cm²
⇒ [tex]10\pi=\pi r^2[/tex]
[tex]\implies 10=r^2[/tex]
[tex]\implies r=\sqrt{10}[/tex]
Diameter = 2r (where r is the radius)
[tex]\implies d=2r=2\sqrt{10}=6.32[/tex] cm (nearest hundredth)
Area of a circle = [tex]πr²[/tex]
Given area = [tex]10π cm²[/tex]
[tex]\bold\red{ ⇒} 10π = πr²[/tex]
[tex]\bold\red{⇒ } 10 = r²[/tex]
[tex]\bold\red{⇒ } r = \sqrt{10}[/tex]
Diameter = [tex]2r[/tex]
[tex]\bold\red{⇒}2\sqrt{10} =\bold\pink{6.32 cm} [/tex] [tex]\bold\green{ [nearest \: hundredth]}[/tex]
Hello Please help me do this its due in 23 minutes!!!!!
Answer:
y = x³
Step-by-step explanation:
Hope it helps.
Answer:
y = x³
Step-by-step explanation:
I assume you meant to ask for a function that represents this.
x = input
x³ = cube of input
y = output
y = x³
How many cubic centimeter blocks are in the bottom layer of the prism shown below?
its 12
Step-by-step explanation:
On the grid shown, each grid line represents one mile. What is the shortest distance, to the nearest tenth of a mile, between Hillburn and Dunford?
Answer:
5.1
Step-by-step explanation:
You just have to count up and thats the closest number
GUYS PLEASE HELP!!!!! if u can also explain how u got the answer
x =
3
7
1
Answer:
x = 3
Step-by-step explanation:
By tangent secant segment theorem:
[tex]x \times 12 = 4 \times 9 \\ \\ \implies \: 12x = 36 \\ \\ \implies \: x = \frac{36}{12} \\ \\ \implies \: x = 3[/tex]
Answer:
x=3
Step-by-step explanation:
v=u + at
u= 2
a = -5
t = Î
2
Work out the value of v.
Answer:
Step-by-step explanation:
a = 5 n, Î = 5 n, t = -2 n, u = 5 n, n element Z
Help me with this, please!!!!
Answer:
Answer is : 0
NO solution
Step-by-step explanation:
System of Linear Equations entered :
[1] y + 3x = 7
[2] y + 3x = -6
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -3x - 6
// Plug this in for variable y in equation [1]
[1] (-3x-6) + 3x = 7
[1] 0 = 13 => NO solution
No solution
Write an Irrational number that can be added to the irrational number 5 to get a rational sum of 6.
Answer:
41 -12√5
Step-by-step explanation:
All square roots of natural numbers, other than of perfect squares, are irrational.so, let the unknown irrational number be x,
solve:
√x + √5 = 6
√x = 6 - √5
( √x ) ² = ( 6 - √5 )²
x = ( 6 - √5 )( 6 - √5 )
x = 36 -6√5 -6√5 + 5
x = 41 -12√5
answer me asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
0.0944
Step-by-step explanation:
Move the decimal place over by 3 so it would be 0.0944.
PLEASE HELP ASAP WILL GIVE BRAINIEST ANSWER
Answer:
Step-by-step explanation:
rise / run is another way of expressing the tangent.
So when you are told that the rise over run is 35% you mean the rise is 35% of the run.
Another way of expressing this is by saying Tan(theta) = 0.35
theta = tan-1(0.35)
theta = 19.29 degrees.
The answer is A. You can reason this out. 19 degrees is the smallest answer. If it was any larger, do you think an 18 wheeler would be able to make the grade? Likely not.
the difference of z and 5
Answer:
z-5 or 5-z
...........................................
help me please!!!!!!!
Answer:
it is blurry and I cannot see sorry
Step-by-step explanation:
How long is the arc intersected by a central angle of StartFraction pi Over 2 EndFraction radians in a circle with a radius of 4. 5 cm? Round your answer to the nearest tenth. Use 3. 14 for Pi.
The arc is the product of the angle and radius of the circle. Then the arc length is 7.065 cm.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/2 radians in a circle with a radius of 4.5 cm.
The arc is given as the product of the angle and radius of the circle.
[tex]\rm Arc \ length = Angle * Radius\\\\\\Arc \ length = \dfrac{\pi}{2} * 4.5\\\\\\Arc \ length = \dfrac{3.14}{2} * 4.5\\\\\\Arc \ length = 7.065[/tex]
The arc length is 7.065 cm.
More about the circle link is given below.
https://brainly.com/question/11833983
Find the surface area of the figure. 21 in. 2 SA = [ ? ]in.? 8 in 11 in
Check the picture below.
[tex]\stackrel{\textit{left and right}}{2(8)(21)}~~ + ~~\stackrel{\textit{front and back}}{2(11)(21)}~~ + ~~\stackrel{\textit{top and bottom}}{2(11)(8)}\implies 974~in^2[/tex]
Giving brainlyist to the first person to answer correctly and having a complete answer.
Answer:
25
Step-by-step explanation:
2400 dived by 96 is 25
Given A = [ 8 -3 3 y+2] , B= [3x z+4 w 1/2y], C=[ x 2z 4 y] What is the value of matrix B if A + B = C
Answer:
[-4,1,1,-4]
Step-by-step explanation:
The graph shows a line and two similar triangles
What is the equation of the line?
y- 5x
y - 3x
y-3/5
y-5/3
Answer:
i think d
Step-by-step explanation:
Answer:
y=5/3x
Step-by-step explanation:
Hope this Helps!
If not I am sorry.