Answers
Answer:
9.4
Step-by-step explanation:
cos 32° = 8/x
x = 8/ cos 32°
= 8/ 0.8480
= 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 32° = 8 / x
x = 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
More about the right-angle triangle link is given below.
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Related Questions
what is the answer and how do you get the answer
Answers
Answer:
The answer is -10 or 1
Step-by-step explanation:
by doing multjoke for each and subtracting
Four friends all five each other presents
The total cost of presents is £80.52
Work out the mean cost of presents in pounds
Answers
Step-by-step explanation:
Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .
HELPPP IM ALMOST DONE WITH THIS CLASS
Answers
Explanation:
Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.
We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.
Since T = pi is the period, we then know that
B = (2pi)/T
B = (2pi)/(pi)
B = 2
Then recall that the general template is y = Acos(B(x-C))+D
In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)
Which is the graph of y = 3x + 1 - 2?
Answers
Help and explain !!!
Answers
Answer:
7
Step-by-step explanation:
2(5) -3
10-3
7
if 2 is added to denominator and nemerator it becomes 9/10 and 3 is substracted from nemerator and denominator it becomes 4/5 find the fraction
Answers
Answer:
9-2 /10-2
7/8
4+3/5+3
7/8
fraction is 7/8
they help me ? is the last someone please
Answers
Please help me, I’m begging you
Answers
Answer:
A. 5
Step-by-step explanation:
PQ + QR + RS = PS
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
RS = x - 4
RS = 9 - 4
RS = 5
2x - 6 + 1 + x - 4 = 18
Tidy up gives: 3x -9 = 18
3x = 27
Therefore x = 27/3 = 9.
RS is x-4. Therefore RS is 9-4 = 5
Factorise this equasion
X^2-5
Answers
Answer:
(x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )
Step-by-step explanation:
x² - 5 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 5
= x² - ([tex]\sqrt{5}[/tex] )²
= (x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )
The quotient of (x -3x3-3x2 - 10x + 15) and a polynomial is (x2-5). What is the polynomial?
Answers
Answer:
(-3x -3 - 24x/(x²-5))
Step-by-step explanation:
(x - 3x³ - 3x² - 10x + 15) / p = x² - 5
(-3x³ - 3x² - 9x + 15) / p = x² - 5
p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)
- -3x³ + 15x
---------------------------------
0 - 3x² - 24x + 15
- - 3x² + 15
‐-----------------------------------
0 - 24x + 0
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answers
Answer:
4,895 containers
Step-by-step explanation:
The number of the wooden closed cylinders to be painted, n = 200
The diameter of each cylinder, d = 35 mm = 3.5 cm
The height of each cylinder, h = 7 cm
The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h
Where, π = 3.142, we get;
A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375
The surface area of each cylinder, A = 96.22375 cm²
The total surface area, [tex]A_T[/tex] = n × A
∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75
The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²
7. The base diameter of the tank, d₁ = 2.4 m = 240 cm
The height of the tank, h₁ = 6.4 m = 640 cm
The base radius of each cylinder container, r = 8.2 cm
The height of each cylindrical container, h₂ = 28 cm
The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;
n = (The volume of the tank)/(The volume of a cylinder)
The volume of the tank, V₁ = π·(d²/4)·h₁
∴ V₁ = π × (240²/4) × 640 = 9216000·π
The volume of the tank, V₁ = 9216000·π cm²
The volume of a cylinder, V₂ = π·r²·h₂
∴ V₂ = π × 8.2² × 28 = 1,882.72·π
The volume of a cylinder, V₂ = 1,882.72·π cm²
The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045
Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
The lines r: x+3=0 and s: y-2=0 intersect at a point P.
a) Determine the coordinates of point P.
b)What is the distance of P from the origin?
Answers
Answer:
(-3,2)
Step-by-step explanation:
The given Equations of lines are ,
[tex]\implies x + 3 = 0 [/tex]
[tex]\implies y -2 = 0 [/tex]
On plotting the graph of the given two equations we will get that the two lines will intersect each other at a point and that point will be the solution of the system of equation. On drawing a graph ,
On looking at graph , Point P will be ,
[tex]\implies Solution = P(-3,2) [/tex]
What is the degree & leading coefficient?
h(t) = 0.2t^3 - 4t^2 +20t
Answers
Answer:
degree=3
coefficient=0.2
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answers
Answer:
In a product like:
a*b = 0
says that one of the two terms (or both) must be zero.
Here we have our equation:
x^2 + 12 = 7x
x^2 + 12 - 7x = 0
Let's try to find an equation like:
(x - a)*(x - b) such that:
(x - a)*(x - b) = x^2 + 12 - 7x
we get:
x^2 - a*x - b*x -a*-b = x^2 - 7x + 12
subtracting x^2 in both sides we get:
-(a + b)*x + a*b = -7x + 12
from this, we must have:
-(a + b) = -7
a*b = 12
from the first one, we can see that both a and b must be positive.
Then we only care for the option with positive values, which is x =3 or x = 4
replacing these in both equations, we get:
-(3 + 4) = -7
3*4 = 12
Both of these equations are true, then we can write our quadratic equation as:
(x - 3)*(x - 4) = x^2 + 12 - 7x
The correct option is the last one.
Answer:
d
Step-by-step explanation:
A valid argument form is one in which, when you uniformly substitute for the variables, the result is
Answers
Answer:
True
Step-by-step explanation:
This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.
Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a representative and a(n) _____ sample.
Answers
Answer:
Random and Representative.
Step-by-step explanation:
According to the Question,
Given That, Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a Representative and Random sample.plz help me find the answers
Answers
Answer:
Correct answer B 130
Step-by-step explanation:
<FAE=90
<AFE=40
We have a triangle, so <FEA= 180-90+40=50
<FEA+FEB= 18-, so 180-50=130
AB parralel to CD then <ECD=130
2a is five times bigger than B.
Circle the ratio a:b.
A. 10:1
B. 1:10
C. 5:2
D. 2:5
Answers
Answer:
The answer is 2:5
Step-by-step explanation:
The ratio of the variable a over b will be 5/2. Then the correct oprion is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
2a is five times bigger than b. Then the equation is given as,
2a = 5b
The ratio of the a: b is given as,
2a = 5b
a / b = 5 / 2
The ratio of the variable a over b will be 5/2. Then the correct option is C.
More about the solution of the equation link is given below.
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factor completely 8y2 + 6y + 1
Answers
Answer:
Step-by-step explanation:
8y²+6y+1
=8y²+4y+2y+1
=4y(2y+1)+1(2y+1)
=(2y+1)(8y+1)
The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temp. In degrees f per day, 5.9x+850=
Answers
The question is not complete as the scatter plot is missing.
Thus, I have attached the complete question showing the scatter plot.
Answer:
D: On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee
Step-by-step explanation:
From the attached image showing the question and scatter plot, we can see that the scatter plot is modeled by the line; y = -5.9x + 850
Where;
x is the high temperature in °F
y is the amount of fluid ounces sold
Let's try x = 0°F
Thus;
y = 0 + 850
y = 850 fluid ounces
Let's try x = 10°F
Thus;
y = -5.9(10) + 850
y = 850 - 59
y = 791
This means for every increase in temperature of 10°F, the amount sold is approximately 60 fluid ounces lesser.
Looking at the options in the attached file, the only correct one that corresponds to our answer is option D where it says;. On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee
At a local Brownsville play production, 420 tickets were sold. The ticket
prices varied on the seating arrangements and cost $8, $10, or $12. The
total income from ticket sales reached $3920. If the combined number
of $8 and $10 priced tickets sold was 5 times the number of $12 tickets
sold, how many tickets of each type were sold?
Answers
Answer:
jsdcjdvnjkdnjnjdanskcbanknqnjfkrbgiyrwhgondfkv
Step-by-step explanation:
Really struggling with these problems please help!
Solve.
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
Answers
Answer:
[tex]y_1 = -2[/tex] and [tex]y_2 = 4[/tex]
Step-by-step explanation:
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
Move the constant to the right-hand side and change their sign.
[tex] \sqrt{10y + 24} = y + 1 + 3 [/tex]
combine like terms
[tex] \sqrt{10y + 24} - 3 = y + 4[/tex]
Square both side to remove square brackets.
10y + 24 - 3 = y²+ 8y + 16
Move the expression to the left-hand side and change its sign.
10y + 24 - y² - 8y - 16 = 0
Combine like terms
10y - 8y + 24 - 16 - y² = 0
2y + 8 - y² = 0
Use commutative property to reorder the terms.
-y² + 2y + 8 = 0
Change the sign of expression.
y² -2y -8 = 0
split -2y
y² + 2y - 4y - 8 = 0
Factor out y from the first pair and -4 from the second equation.
y ( y + 2 ) - 4 ( y + 2 ) = 0
Factor out y+2 from the expression.
( y + 2 ) ( y - 4)
When the products and factors equals 0, at least one factor is 0.
y + 2 = 0
y - 4 = 0
Solve for y
y = -2
y = 4
When we plug the both solution as y we found that both is true solution of this equation.
This equation has two solutions which are -2 and 4.
Answer:
Solution given:
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
keep the constant term in one side
[tex] \sqrt{10y + 24} =y+1+3[/tex]
solve possible one
[tex]\sqrt{10y+24}=y+4[/tex]
now
squaring both side
[tex](\sqrt{10y+24})²=(y+4)²[/tex]
10y+24=y²+8y+16
taking all term on one side
10y+24-y²-8y-16=0
solve like terms
8+2y-y²=0
doing middle term factorisation
8+4y-2y-y²=0
4(2+y)-y(2+y)=0
(2+y)(4-y)=0
either
y=-2
or
y=4
y=-2,4
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answers
Answer:
. JUST LOAD
Step-by-step explanation:
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Answers
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
What is the range of the function f(x)=3/4 (x) -3
Answers
The function f(x)=3/4 (x) -3 is a straight line,
so the range of the function is (-∞,∞)
Answered by GAUTHMATH
Pam laid three times as many tiles on Saturday as she laid on Sunday. If Pam laid 80 tiles over the weekend altogether, how many tiles did she lay on Saturday?
Answers
Answer:
Pam laid 60 tiles on Saturday and 20 on Sunday.
Step-by-step explanation:
Given that Pam laid three times as many tiles on Saturday as she laid on Sunday, if Pam laid 80 tiles over the weekend altogether, to determine how many tiles did she lay on Saturday the following calculation must be performed:
3X + X = 80
4X = 80
X = 80/4
X = 20
Therefore, Pam laid 60 tiles on Saturday and 20 on Sunday.
The volume of the sphere is
500
-n cubic units.
3
What is the value of x?
O4 units
O 5 units
O 8 units
O 10 units
Answers
Answer:5 units!
Step-by-step explanation:
.
The value of x will be 5 units for the sphere that has the volume of (500/3)π cubic units.
From the formula of the volume of sphere,
volume of sphere = 4/3 πr³
where, r is the radius
in our case,
volume = (500/3)π
radius = x
substituting the given values
(500/3)π = (4/3)π *x³
x³ = 125
x= 5 units
Therefore, the value of x will be 5 units.
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Complete question:
The volume of the sphere is 500/3 π cubic units.
What is the value of x?
4 units
5 units
8 units
10 units
Uma empresa do ramo de confecções produz e comercializa calças jeans. Se x representa a quantidade produzida e comercializada (em milhares de reais) e L(x) = -x² + 8x – 16 representa o lucro (em milhares de reais) da empresa para x unidades, então quando L(x) = 0 a empresa terá produzido e comercializadas quantas unidades dessas calças jeans? *
Answers
Answer:
I am in 5 classso i did not known answer
5 plus 6 times 8 plus 9 times 10 plus 8 plus 4 plus 2 plus 9 plus 8 plus 7 plus 5 plus 7 plus 6 times 7 times 9 times 8 times 5 times 4 times 3 times 2 times 1 times 6 times 8 times 9 times 12 times 17 times 19 times 20 times 12 times 11 times 13 times 14 times 15 times 16
Answers
i dont know
hi hi hi hi hi ih ih ih ihi ih i h
If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answers
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
