Answer:
a = 56.3°
Step-by-step explanation:
tan(a) = 9/6 = 1.5
atan(1.5) = 56.31°
Answer:
[tex]\boxed {\boxed {\sf 56.3 \textdegree}}[/tex]
Step-by-step explanation:
We are asked to find the measure of angle a.
This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:
sinθ=opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentThe side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.
[tex]tan \theta= \frac{ opposite}{adjacent}[/tex]
[tex]tan \ a = \frac{ 9}{6}[/tex]
Since we are solving for an angle measure, we use the inverse trigonometric function.
[tex]tan ^{-1} * tan \ a = tan ^{-1} * \frac{9}6}[/tex]
[tex]a= tan ^{-1} * \frac{9}6}[/tex]
[tex]a= 56.30993247[/tex]
Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.
[tex]a \approx 56.3[/tex]
The measure of angle a is approximately 56.3 degrees.
59,8x60,2 bằng bao nhiêu ạ
Answer:
3,6
Step-by-step explanation:
A regular polygon has exterior angles of 60°
What is the sum of the polygon’s interior angles?
Answer:
720°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 60 to find number of sides (n)
n = 360° ÷ 60° = 6
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
The sum of the exterior angles of a regular polygon is 360º
Each exterior angle of a regular polygon is 60º/n
360º/n=60º
360/60=n
6=n
A polygon with 6 sides is a hexagon.
Use the formula (n-2)×180
(6-2)*180=4*180=720º
another solution...
you have 6 interior angles (hexagon)
if an exterior angle is 60º, the corresponding interior angle is 180-60=120º
you have 6 of these 120º angles
6*120=720º
simplify the monomial
11x^2 -3x^2
[tex]\sf11 {x}^{2} - 3 {x}^{2} \\ [/tex]
They are like terms so you can just easily subtract them directly.
[tex]\sf11 {x}^{2} - 3 {x}^{2} \\ = \boxed{\bf8x {}^{2}} [/tex]
Hope it helps.
RainbowSalt2222
[tex]\\ \sf\longmapsto 11x^2-3x^2[/tex]
Subtract the coefficients[tex]\\ \sf\longmapsto (11-3)x^2[/tex]
[tex]\\ \sf\longmapsto 8x^2[/tex]
If 4x + 2y = 14 and x - 2y = 6, what is the value of y?
Answer:
y is -1
Step-by-step explanation:
[tex]4x + 2y = 14 - - - (a) \\ x - 2y = 6 - - - (b)[/tex]
(a) + (b):
[tex]5x = 20 \\ x = 4[/tex]
therefore:
[tex]x - 2y = 6 \\ 4 - 2y = 6 \\ 2y = - 2 \\ y = - 1[/tex]
Answer:
y must be -1
Step-by-step explanation:
We are given the system of linear equations
4x + 2y = 14
x - 2y = 6
and need to find the value of y. Combining the two equations yields
5x = 20, and so we know that x must be 4.
If x is 4, then the second equation becomes 4 - 2y = 6, or -2y = 2.
Then y must be -1.
Will Mark Brainlest Help Please ,,,,
Step-by-step explanation:
from the second:
A=[3 -1]. -2B
[-5 0]
input this into 1
2([3 -1]) -(2B) -B =[1 3]
([-5 0]). [0 5]
[6 -2] -4B-B=[1 3]
[-10 0]. [0 5]
-5B=[1 3] -[3 -1]
[0 5]. [-5 0]
-5B= [1-3 3+1]
[0+5 5+0]
B= [-2/5 4/5]
[1 1]
A=[(19/5) (3/5)]
[-3. 2]
using the formula I derived
that's how I got A
Find the surface area of the composite figure
Answer:
498
Step-by-step explanation:
For the blue block: 4(7x2) + 2(2x2) = 56 + 8 = 64
For green block: 4(12x7) + 2(7x7) = 336 +98 = 434
434 + 64 = 498
3. Find the volume of the pyramid.
Answer:
[tex]916.11\:ft^{3}[/tex]
Step-by-step explanation:
Volume of the hexagonal pyramid = [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]
Here sides of hexagonal base = 9 ft
So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]
[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]
[tex]= 210.5[/tex]
Height is given, 13 ft
So, volume = [tex]1/3\times 210.5\times 13[/tex]
[tex]= 916.11\: ft^{3}[/tex]
OAmalOHopeO
Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START
A rectangle has a perimeter of 53 feet and a base of 7.1 feet. What is the height?
Answer:
19.4
Step-by-step explanation:
Perimeter = 53 feet
P = 2L + 2H
L = 7.1 feet
2L + 2W = 53 feet
2*7.1 + 2w = 53
14.2 + 2w = 53
2W = 53 - 14.2
2W = 38.8
W = 38.8/2
W = 19.4
H = 19.4
Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
Answer:
There are 0.454 kg in one pound.
So, in 120 pounds there are 0.454 x 120 kgs.
This is equal to 54.48, and the answer is 54.48 kg.
Let me know if this helps!
What is the period of the function y=3/2con(3/5x)+5
Answer:
[tex]y = \frac{3}{2} cot( \frac{3x}{5} ) + 5 \\ \\ \pi \div \frac{3}{5} \\ \ \\ = \frac{5\pi}{3} is \: period[/tex]
9x+5y=34
8x-2y=-2
What are the values of x and y? Please explain the steps.
Answer:
x = 1 and y =5
Step-by-step explanation:
[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]
Substitute this value of y in the next equation.
[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]
Solve for y using x.
[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]
please help me in solving this
Answer:
it can be 5 from my side is that right
Answer:
is ur question right
Step-by-step explanation:
is ur question right
is ur question right
is ur question right
solve the following: If 7a – 4b = 3, then b =
Answer:
D (7a-3)/4
Step-by-step explanation:
7a – 4b = 3
Subtract 7a from each side
7a-7a – 4b = 3-7a
-4b = 3 -7a
Divide by -4
-4b/-4 = (3-7a)/-4
b = (7a-3)/4
Answer:
b = (7a - 3)/4
Step-by-step explanation:
7a - 4b = 3
=> -4b = 3 - 7a
=> b = (3 - 7a)/(-4)
=> b = -(3 - 7a)/4
=> b = (-3 + 7a)/4
=> b = (7a - 3)/4
taylor bought 2 bottles of orange juice and a bottle of apple juice for $6.55. The bottle of apple juice cost $0.35 less than the bottle of orange juice. What was the cost of the bottle of orange juice?
Answer:
$2.3
Step-by-step explanation:
Let the price of the orange juice be x
We know he bought 2 bottles of orange juice = 2x
He also bought an apple juice which is 0.35$ less than orange juice, so the price of the apple juice would be = (x-0.35)
The sum of these two purchases = $6.55
2x + (x-0.35) = 6.55
2x + x - 0.35 = 6.55
3x = 6.55 + 0.35
3x = 6.9
x = 6.9/3
x = 2.3
So the bottle of orange juice costs $2.3
answered by g a u t h m a t h
Which of the following is an integer?
95.2
73
54
41
-26
Answer:
95.2 is not an integer
and other are integers
Identify the coordinates of the vertices of the polygon.Identify the coordinates of the vertices of the polygon.
A. (3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
B. (–3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
C. (3,5), (–6,1), (–3,–4), (–5,0), (7,–3)
D. (3,5), (6,1), (–3,–4), (0,–5), (7,–3)
Answer:
A
Step-by-step explanation:
The coordinates are (3,5),(7,-3),(0,-5),(-3,-4) and (-6,1). So the correct option is A
Translate this phrase into an algebraic expression.
the quotient of 14 and a number
Answer:
Step-by-step explanation:
Let the number be x
14 ÷ x = [tex]\frac{14}{x}[/tex]
Answer:
14 / x
Step-by-step explanation:
quotient = /
14 = 14
a number = the variable, let's call it x
Brainliest please!
The square of the product of 4 and a number.
Answer:
4 x n= y²
You have to find the product of a number and 4
Answer:
√4×n
Step-by-step explanation:
4*n squared so n stands for number
Someone help pleasee
which of the following equations is an example of inverse variation between the variables x and y?
Answer:
C
Step-by-step explanation:
A and B are examples of direct variations because there is a nonzero constant k in each such that y=kx. A's k=1/12 while B's k=12.
D is not a direct or inverse variation because of the plus/minus constant.
C is an inverse variation because it has form y=k/x where k is nonzero. This k=12.
Answer:
C
Step-by-step explanation:
The equation representing inverse variation is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
The only equation that fits this description is
y = [tex]\frac{12}{x}[/tex] → C
Hey I want to make sure my answer for this question is right I think the answer is A but I want to e sure I did it right ༼ つ ◕_◕ ༽つ
Answer:
The correct choice is option C. 4xy√3y
Step-by-step explanation:
√12x^2y^3 + 2xy√3y
√12x^2y^3 = 2√3 xy√y
2xy√3y = 2√3 xy√y
2√3 xy√y + 2√3 xy√y
= 4√3 xy√y
= 4xy√3y
Which value of x satisfies the equation
Answer:
9
Step-by-step explanation:
5/3 (x + 1/2) = 95/6
5/3 × 1/2 = 5/6
5/3x + 5/6 = 96/6
-5/6 -5/6
---------------------------
5/3x = 90/6
5/3x = 15
------ ----
5/3 5/3
x = 9
Use the distance formula to find the perimeter. Round to the nearest tenth
Answer:
18.8
Step-by-step explanation:
You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.
write the following fractions as decimals 6 2/25 answer
Answer:
6.08
Explainion: is shown in picture above
an equation of a number and 25 equals to the sum of 141 and 159 divided by 2
Answer:
25 = 141 + 159/2
Step-by-step explanation:
please solve no k and m.
Step-by-step explanation:
soln no. k
LHS: cosø√1+cot^2ø
= cosø×cosecø
= cosø× 1/sinø
= cosø/sinø
= cotø
=√cosec^2-1. [: cot^2ø=cosec^2ø-1
according to equation
sending the (^2) will be
root over in another Sid]
= RHS proved
for number m take the help of the pic
What is the equation and the answer?
Answer:
30
Step-by-step explanation:
So we begin by assigning variables to each side with:
DE = x
EF = y
DF = z
Now we start listing a system of equations from what is given:
x+y+z=81
x=2y
x-4=z
Once we solve that with substitution, we get the result of:
x=34
y=17
z=30.
Since z is the length of DF, the length of DF is 30.
I hope this helped! :D
The diameter of a cone is 34 ft. The height is 16 ft. What is the volume in cubic ft?
Step-by-step explanation:
Hi there!
From the given Question, we have;
Diameter (d) = 34ft
Height (h) = 16ft
Now;
Radius (r) = d/2
= 34/2
= 17 ft
Now;
Volume (v) = 1/3(πr²h)
= 1/3(3.14 * 17² * 16) ft³
= 4839.78 ft³
Therefore, the Volume is 4839.78 ft³.
Hope it helps!
Hey can someone help me figure out what 3/4(x-8)=12
Answer:
x=24
Step-by-step explanation:
3/4(x-8)=12
Multiply each side by 4/3
4/3*3/4(x-8)=12*4/3
x-8 = 16
Add 8 to each side
x-8+8 = 16+8
x=24
Answer:
x = 24
Step-by-step explanation:
Essentially, you need to break this apart.
You need to isolate the x to figure it out with division or something.
To isolate, you need to get rid of the numbers around it.
To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.
You now have
x-8 = 12/0.75
You can quickly punch the right side into a calculator to make it easier.
x - 8 = 16
You then add 8 to both sides to finish off the x, to get
x = 24