Answers
Answer:
[tex]\displaystyle 1 = \frac{cos∠A}{cos∠B}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ[/tex]
Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:
[tex]\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1[/tex]
I am joyous to assist you anytime.
The value of expression cos A / cos B is,
⇒ cos A / cos B = 1
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now., We know that;
cos A = Base / Hypotenuse
cos A = 3 / 4.24
And, cos B = 3 / 4.24
Thus, The value of expression cos A / cos B is,
⇒ cos A / cos B = (3/4.24) / (3/4.24)
⇒ cos A / cos B = 1
So, The value of expression cos A / cos B is,
⇒ cos A / cos B = 1
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Related Questions
Someone pliss answere this for me
Answers
Answer:
1) ∠AEB ≈ 83.7°
2) CE = 6.1 cm
3) BC ≈ 7.1 cm
Step-by-step explanation:
1) Use theorem of cosine
c² = a² + b² - 2ab*cos(α)
4.5² = 3² + 3.7² - 2*3*3.7 *cos(∠AEB)
cos(∠AEB) = (4.5² - 3² - 3.7²) /(- 2*3*3.7) = 0.11
∠AEB = arc cos(∠AEB) = arc cos(0.11) ≈ 83.7°
2)
∠CED =∠AEB = 83.7° as vertical angles
Use law of sine
CD/sin(∠CED) = CE/ sin(∠CDE)
7/sin(83.7) = CE/sin(60°)
CE = 7*sin(60°)/sin(83.7°) = 6.1 cm
3.
∠BEC + ∠CED = 180°
∠BEC = 180° - ∠CED = 180° - 83.7° = 96.3°
Use theorem of cosine
c² = a² + b² - 2ab*cos(α)
BC² = BE² + CE² - 2 BE * EC *cos(∠BEC)
BC² = 3² + 6.1² - 2*3 * 6.1 *cos(96.3°) ≈ 50.23 cm
BC = √(50.23)≈ 7.1 cm
The longest runway at an airport has the shape of a rectangle and an area of 2 comma 312 comma 300 square feet. This runway is 190 feet wide. How long is the runway?
Answers
Answer:
L= 12170 ft
Step-by-step explanation:
The runaway at the airport has the shape of a rectangle and the area of 2,312,300 ft². The rectangular runaway is 190 ft wide . The length is what we are asked to find.
area of a rectangle = LW
Where
L = length
W = width
area of a rectangle = LW
area of the rectangular runaway = 2,312,300 ft²
W = 190 ft
L = ?
2,312,300 = L × 190
2,312,300 = 190L
divide both sides by 190
L = 2,312,300/190
L= 12170 ft
If x = 2 + V3, then the value of (x + 1/x) is
Answers
Answer:
4
Step-by-step explanation:
Given
x + [tex]\frac{1}{x}[/tex] ← substitute x = 2 + [tex]\sqrt{3}[/tex]
= 2 + [tex]\sqrt{3}[/tex] + [tex]\frac{1}{2+\sqrt{3} }[/tex]
Rationalise the denominator of the fraction by multiplying the numerator/ denominator by the conjugate of the denominator.
The conjugate of 2 + [tex]\sqrt{3}[/tex] is 2 - [tex]\sqrt{3}[/tex] , thus
= 2 + [tex]\sqrt{3}[/tex] + [tex]\frac{2-\sqrt{3} }{(2+\sqrt{3} )(2-\sqrt{3}) }[/tex]
= 2 + [tex]\sqrt{3}[/tex] + [tex]\frac{2-\sqrt{3} }{4-3}[/tex]
= 2 + [tex]\sqrt{3}[/tex] + 2 - [tex]\sqrt{3}[/tex]
= 4
9. If y = kx, where k is a constant, and y = -3
when x = 6, what is the value of x when y = 12?
Answers
Hey there! :)
Answer:
x = -24.
Step-by-step explanation:
Plug in the values to find the value of 'k':
-3 = k(6)
Divide both sides by 6 to solve for 'k':
-3/6 = k
k = -1/2
Plug this into the equation to solve for the value of x when y= 12:
12 = -1/2(x)
Divide both sides by -1/2:
-24 = x
x = -24.
Answer:
x would be -24
Step-by-step explanation:
since k is a constant, we have to find out what k is from the equation
. -3=6(k) divide both sides by 6 to get that k is -0.5/-1/2.
then, solve for what x is when y is 12 by setting up the equation 12=(-0.5)x. this would result in x being -24
what is x = 0.8x + 72
Answers
Which of the binomials below is a factor of this trinomial?
5x2 + 15x -50
O A. X-10
O B. X-2
O C. x+10
O D. x+ 2
Answers
Answer:
5( x+5) (x-2)
Step-by-step explanation:
5x^2 + 15x -50
Factor out a 5
5(x^2 +3x - 10)
What 2 terms multiply to -10 and add to 3
5*-2 = -10
5-2 = 3
5( x+5) (x-2)
A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x).
Answers
Answer:
The slope of g(x) is less than the slope of f(x)
Step-by-step explanation:
Find the slopes of both lines with rise/run
f(x): 3/1 = 3
g(x): 2/4 = 1/2
The slope of g(x) is less than the slope of f(x)
Answer:
B. The slope of g(x) is less than the slope of f(x)
Step-by-step explanation:
The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).
Write the equation of the line in point-slope form that passes through the point (-2.3)
1
and has a slope of
2
Answers
Answer:
work is pictured and shown
If 8 km = 5 miles, convert 720 km into miles.
Answers
Answer:
450 miles
Step-by-step explanation:
5 miles = 450 miles
8 km = 720 km
Answer:
450 mi
Step-by-step explanation:
8km=5mi
720km/8km=90
8km (90)=5mi(90)
5mi(90)
3. Find the edge of a cube whose volume is 3375 cm
Answers
Answer:
Length = 15 cm
Step-by-step explanation:
Volume of cube = (Length)³
Given that Volume = 3375 cm³
So,
3375 = (Length)³
Taking cube root on both sides, we get
Length = 15 cm
1935 people visit a library during one week.
the ratio children : adult 1:4
How many more adults than children visited the library?
Answers
Answer: 1161
Step-by-step explanation:
From the question, ww are told that 1935 people visit a library during one week and the ratio of children to adult is 1:4.
This means that the fraction of children is 1/5 qnd the fraction of adult is 4/5. Since there are 1935 people, the number of children will be:
= 1/5 × 1935
= 387
The number of adults will be:
= 4/5 × 1935
= 1548
To find the number of more adults than children that visited the library, we subtract 387 from 1548. This will be:
= 1548 - 387
= 1161
any ideas? I cant understand what its asking and although i'm trying my best i don't get it
Answers
Answer:
{ x: x€R | x≤7, x }
Step-by-step explanation:
I think they are asking set builder form for the expression
For any other explaination or enquiry pleas ask me down in comments...
Answer:
” THE TIMES they are A -changin
Step-by-step explanation:
The department estimates that $6,000 of new manufacturing equipment will need to be purchased and that the cost of construction each desk will be $100. The department also estimates that the revenue from the desk will be $400
Answers
Answer:
The question is incomplete, below is a possible match for the complete question:
The department estimates that $6,000 of new manufacturing equipment will need to be purchased and that the cost of construction each desk will be $100. The department also estimates that the revenue from the desk will be $400. Find the company's break-even point for this desk
Answer: Break-even point (number of desks) = 20 desks
Step-by-step explanation:
The break-even point is the price of quantity of goods sold at which the total manufacturing costs equals the selling price.
Let the number of desks to be sold in order to break even = [tex]x[/tex]
manufacturing equipment cost = $6,000
total cost of manufacturing desks at $100 each = 100 × [tex]x[/tex] = 100[tex]x[/tex]
Therefore total cost of manufacturing = 6000 + 100[tex]x[/tex]
Total revenue to be realized at a selling price of $400 each = 400×[tex]x[/tex] = 400[tex]x[/tex]
To break even:
Total manufacturing cost = Total revenue
∴ 6000 + 100[tex]x[/tex] = 400[tex]x[/tex]
6000 = 400[tex]x[/tex] - 100[tex]x[/tex]
6000 = 300[tex]x[/tex]
300[tex]x[/tex] = 6000
∴ [tex]x[/tex] = 6000 ÷ 300 = 20
Therefore, in order to break even, 20 desks must be sold. which is a total revenue of $8000 (400 × 20).
Solve for x? and the lengths missing side
Answers
Answer:
X = 15, the missing length (c) is 10
Step-by-step explanation:
Using Pythagorean’s Theorem we know that a^2 + b^2 = c^2
We have side a and b, represent a as 6 and b as 8.
We have 6^2 + 8^2 = c^2
Which equals 100 = c^2
10 = c
Side C is 10, and (x - 5) = 10
X = 15
Please mark BRAINLIEST!
Answer: x ≅ 15.95
Step-by-step explanation:
Use the pythagorean theorem for right triangles x^2 + y^2 = s^2
6^2 = 36
8^2 = 64
(x - 5)^2 requires FOIL. Unfortunately Im going to do this on paper. Its essentially First Outside Inside Last. i got x^2 - 10x + 25
Lets now add 36 and 84 and make it equal to the trinomial we just got.
[tex]120=x^2-10x+25[/tex]
Now lets subtract 120 from both sides to get:
[tex]0=x^2-10x-95[/tex]
You could complete the square, I think. But im going to use the quadratic formula. [tex]\frac{-b +/- \sqrt{b^2-4ac} }{2a}[/tex]Im going to calculate this on paper for simplicity's sake. Im getting an answer of about [tex]\frac{10(+/-)21.909}{2}[/tex]
Solve by adding and then solve by subtracting to get x ≅ 15.95 and x = -5.95. We cant have a negative side length so we can disregard that negative answer.
what is the solution to the following inequality? x/-3 ≤ 3 A) x ≥ 6 B) x ≤ -9 C) x ≥ 1 D)x ≥ -9
Answers
Answer:
option D
Step-by-step explanation:
x/-3≤3
multiply by (-1) on both sides
x/3≥-3
x>=-9
Answer:
Letter D
Step-by-step explanation:
which equation has the solution x=4: 4x=20 x/2=8 x+8=3x x =x+5/2
Answers
Answer:
x+8=3x
Step-by-step explanation:
4x=20
4x/4=20/4
x=5
The solution to the first equation is x=5.
x/2=8
2(x/2)=2(8)
x=16
The solution to the second equation is x=16.
x+8=3x
x+8-x=3x-x
8=2x
8/2=2x/2
x=4
The solution to the third equation is x=4.
x=x+5/2
x-x=x+5/2-x
-x=5/2
x=-5/2
The solution to the fourth equation is x=-5/2.
The equation x+8=3x has the solution to x=4.
Step-by-step explanation:
4x = 20
x = 20/4 = 5
x/2 = 8
x = 8 x 2 = 16
x + 8 = 3x
8 = 3x - x
8 = 2x
8/2 = x
4 = x
x = x + 5/2
2x = 5/2
x = 5/2 x 2
x = 5
A grocery store offers cheese sampler that includes a pepper cheddar cheese that cost $17 per lilogram and pennsylvania jack that cost $11 per kilogram how many kilograms of each were used to make 5 kilogram mixture that cost $12.80 per kilogram
Answers
Answer:
$64.00
Step-by-step explanation:
12.80
x5
_______
$64.00
Answer:
Help
Step-by-step explanation:
What type of number is -2343 a)whole number b)integer c)rational d)irrational
Answers
Answer: B and C
Step-by-step explanation:
-2343 is an integer and also a rational number since it can be expressed as a fraction.
An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.
If a preimage is rotated 360 degrees about the origin how can you describe its image?
Answers
Answer:
The image will be exactly equal and in the same location as its preimage
Step-by-step explanation:
Notice that a [tex]360^o[/tex] rotation on the plane, brings the image to exactly the same position it has initially, since it is a full circle rotation.
Therefore, the image would be exactly overlapping with the initial preimage.
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
Answers
THIS IS SO CONFUSING! I hate this
Answers
Answer:
2 and 6 for the circles.
-18 for the square.
Step-by-step explanation:
-3 times a number is -6.
[tex]-3 \times 2 = -6[/tex]
The number is 2.
2 times a number is 12.
[tex]2 \times 6 = 12[/tex]
The number is 6.
6 times -3.
[tex]6 \times -3 = -18[/tex]
The number is -18.
.
[140
m21%
10.70
050
060
Answers
Answer:
93%
Step-by-step explanation:
caculator
square root of 20 rounded to the nearest tenth
Answers
Answer:
4.5
Step-by-step explanation:
Answer:
4.5 (Rounded to the nearest tenth)
Step-by-step explanation:
[tex]\sqrt{20} =4.472135955........\\[/tex]
Rounded to the nearest tenth: 4.5 because you would round up
Someone please help. I have been stuck on this for awhile. Im not the smartest so please explain how to do it too.
Answers
Answer:
84 Square Centimeters.
Step-by-step explanation:
Answer:
84 [tex]sm^2[/tex]
Step-by-step explanation:
The surface of this figure consist of six faces:
two right triangles with legs = 4 and 3 sm;
one rectangle with sides 5 and 6 sm;
one rectangle with sides 3 and 6 sm;
one rectangle with sides 4 and 6 sm.
The surface area of whole figure is the sum of areas of this faces.
[tex]S_{\triangle} = \frac{4\cdot 3}{2} = 6 sm^2[/tex] -- triangle area
[tex]S_{5,6} = 5\cdot 6 = 30 sm^2[/tex] -- rectangle 5x6 area
[tex]S_{3,6} = 3\cdot 6 = 18 sm^2[/tex] -- rect. 3x6 area
[tex]S_{4,6} = 4\cdot 6 = 24 sm^2[/tex] -- rect. 4x6 area
[tex]S_{surf} = 2\cdot S_{\triangle} + S_{5,6} + S_{3,6} + S_{4,6} = 2\cdot 6 + 30 + 18 + 24 = 84 sm^2[/tex]
type < = to mean <
or > = to mean .
Jake began the day with 6 dollars in his wallet. Then he withdrew some
money from the bank and added that to what was already in his wallet. After
doing that, he had 31 dollars in his wallet.
Answers
Answer:
He added $25 to the contents of his wallet.
Step-by-step explanation:
Here's what's happening, symbolically:
$6 + m = $31, or m = $25. Jake added $25 (represented by m) to the contents of his wallet.
SIMPLIFY and SHOW WORK THANKS 3∙[ 9 – 2∙ (7 – 8)]
Answers
Answer:
33
Step-by-step explanation:
3∙[ 9 – 2∙ (7 – 8)]
PEMDAS,
Parentheses, start from the inside out
3∙[ 9 – 2∙ (-1)]
3∙[ 9 +2]
3* 11
33
a local delivery company has a cumulative frequency table to show the distance it travels to deliver parcels. a) on the graph paper, draw a cumulative diagram to show this information. join your crosses with straight lines b) use your diagram to estimate the median an the interquartile range of the delivery distance.
Answers
Answer:
Step-by-step explanation:
Answer:
Median = 11
IQR = 6
Step-by-step explanation:
Find the equation of the line through point (−4,−4) and perpendicular to 2x+3y=3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
Answer:
y = 3/2x + 2
Step-by-step explanation:
Step 1: Write original equation into slope-intercept form
3y = -2x + 3
y = -2/3x + 1
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the other slope.
m = 3/2x
Step 3: Find b
y = 3/2x + b
-4 = 3/2(-4) + b
-4 = -6 + b
b = 2
Step 4: Rewrite perpendicular equation
y = 3/2x + 2
solve: 5x + 4 < 3 – 3x
Answers
Answer:
x = -1/8
Step-by-step explanation:
The greater than sign can be replaced with an equal sign to solve.
5x + 4 < 3 – 3x =>
5x + 4 = 3 - 3x =>
+3x -4 +3x - 4
---------------------------
8x = -1
x = -1/8
Solve the equation y + 6 = -3y +29
Answers
Answer:
y = 23/4
Step-by-step explanation:
y + 6 = -3y +29
Add 3y to each side
y+3y + 6 = -3y+3y +29
4y+6 = 29
Subtract 6 from each side
4y +6-6 = 29-6
4y = 23
Divide by 4
4y/4 = 23/4
y = 23/4
