Answers
SOHCAHTOA (used for reference).
[tex]Sin A = \frac{8}{10} = \frac{4}{5} \\Cos A = \frac{6}{10} = \frac{3}{5} \\Tan A = \frac{8}{6} = \frac{4}{3} \\Sin B = \frac{6}{10} = \frac{3}{5} \\Cos B = \frac{8}{10} = \frac{4}{5} \\Tan B = \frac{6}{8} = \frac{3}{4} \\[/tex]
Related Questions
Write an equation for a line g(x) perpendicular to f(x) = 4x − 5 and passing through the point (4, 20). plz.....
Answers
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84
Final answer:
The equation for the perpendicular line g(x) is g(x) = (-1/4)x + 21, found by using the negative reciprocal of the original slope and the point-slope form of a line.
Explanation:
To find the equation for a line g(x) that is perpendicular to f(x) = 4x - 5 and passes through the point (4, 20), we need to determine the slope of the perpendicular line and then use the point to find the specific equation.
Since the slope of the line represented by f(x) is 4, the slope of any line perpendicular to it will be the negative reciprocal, which is -1/4.
Now, we can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
Substituting the given point and the slope into the point-slope form, we get:
y - 20 = (-1/4)(x - 4)
Expanding this we have:
y - 20 = (-1/4)x + 1
Adding 20 to both sides to solve for y gives us the final equation of line g(x):
g(x) = (-1/4)x + 21
What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.
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[tex]\frac{GH}{sin\left(45\right)}=\frac{10\:meters}{sin\left(31\right)}[/tex]
[tex]GH=\frac{10\:meters}{sin\left(31\right)}\cdot sin\left(45\right)=13.7\:m[/tex]
The measure of side GH is 13.7 meters.
What is the answer to this question?
Answers
Find the slope of the line through the points (-4,6) and (8,4).
A.) -5/6
B.) -1/6
C.) -3/2
D.) -1/2
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The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 6) and (8, 4). Substitute:
[tex]m=\dfrac{4-6}{8-(-4)}=\dfrac{-2}{12}=\boxed{-\dfrac{1}{6}}\to\boxed{B.)}[/tex]
Answer:
B) -1/6
Step-by-step explanation:
y₂ - y₁ / x₂ - x₁
4-6 /8-(-4) = -2/12 = -1/6
What is eight and nineteen thousandths in decimal form
Answers
Hope this helps!
Decimal form of eight and nineteen thousandths is 8.019.
Eight and nineteen thousandths in decimal form is written as 8.019.
To represent this in decimal form, we can think of the place value chart: 8 (whole number part), 0 (tenth place), 1 (hundredth place), and 9 (thousandth place).
Therefore, 8.019 is the decimal form of eight and nineteen thousandths.
stuck on question x/-4 -5=4
Answers
*-4 *-4 *-4
x+20=-16
x=-36
what is 88.6 times 5.01
Answers
what is the volume of two cubes with a side length of 1/2 foot? v=s3,where is the side length
Answers
a rectangular box has a volume of 105 cubic centimeter the width of the rectangular box is X centimeters the length is 2x - 3 cm and the height is 3 cm
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105 = 3x(2x - 3)
105 = 6x² - 9x
6x² - 9x - 105 = 0
2x² - 3x - 35 = 0
(x - 5)(2x + 7) = 0
x = 5 0r x = -7/2 (rejected, because it is negative)
Answer: x = 5
how to draw a model to show 5.5 divided by 5
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Answer:
1.1
Step-by-step explanation:
What expressions are equivalent to 6-10/6-4
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To simplify the expression 6 - 10/6 - 4, divide 10 by 6 and subtract the result from 6, then subtract 4 from the previous result. The simplified expression is 0.33.
Explanation:To simplify the expression 6 - 10/6 - 4, you need to follow the order of operations which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
To simplify the expression, we can perform the division first: 10/6 = 1.67.
Substituting the result back into the expression, we have: 6 - 1.67 - 4.
Next, we can perform the subtraction from left to right: 6 - 1.67 = 4.33, then 4.33 - 4 = 0.33.
Therefore, the expression 6 - 10/6 - 4 simplifies to 0.33.
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Please help on these!
Answers
Area = 1/2 x 14 x 5 = 35 unit²
Answer: 35 unit²
Area of the rectangle = length x width
Area of the triangle = 1/2 x base x height
Area = (13 x 8) + (1/2 x 6 x 8) = 104 + 24 = 128 in²
Answer: 128 in²
[tex]A=\dfrac{14\cdot5}{2}=\dfrac{70}{2}=35[/tex]
2. Look at the picture.
[tex]A_I=8\cdot13=104\ in^2\\\\h=19-13=6\ in\\\\A_{II}=\dfrac{8\cdot6}{2}=\dfrac{48}{2}=24\ in^2\\\\A=104+24=128\ in^2[/tex]
Which number has the greatest value?
Answers
Need help on this question
Answers
It has two right angles, the other letters do not have at least one right angle
Which line in the graph contains the point (4,3) and has a slope of 2/5?
A.) Line s
B.) Line t
C.) Line r
D.) Line p
Answers
What is a parllogarm and how to work on it
Answers
As far as the second part, "how to work on it", it depends on what you need done.
Gracie uses 10 beads on each necklace she makes. She has 60 beads to use. How many necklaces can Gracie make?
Answers
60 divided 10 = 6
Hope this helps lol
What is the area of the shaded region to the nearest tenth of a foot?
Part a) Explain what formulas you will use to find the area of the shaded area.
Par b) Explain how you find the area of the shaded region. What was your thought process?
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Area of rectangle = length*width
Area of circle = (π/4)*diameter²
b) The figure shows the width of the rectangle is 14 ft, the same as the diameter of the circle. The length of the rectangle is shows as 21 ft. The shaded area is the difference ...
Shaded Area = Area of rectangle - Area of circle
Shaded Area = (21 ft)*(14 ft) - (π/4)*(14 ft)²
Evaluating this expression, we have
Shaded Area ≈ 294 ft² - 153.9 ft² = 140.1 ft²
How is the expression (5 + y) ⋅8 described by its factors and terms?
It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.
Answers
The factors are the two things that are multiplied together to make the expression. In this expression, (5+y) and 8 are multiplied, so these are the two factors.
The factor (5+y) has two terms, 5 and y.
Runyon Company sells T-shirts ($5) and shorts ($6). If total sales were $1,040 and people bought 4 times as many T-shirts as shorts, what was the total number of T-shirts and shorts sold
Answers
Final answer:
To find the total number of T-shirts and shorts sold, set up equations using the given information. Solve the equations to find the values of the variables. Therefore, the total number of T-shirts and shorts sold is 200.
Explanation:
To find the total number of T-shirts and shorts sold, let's assign variables to the unknown quantities. Let T represent the number of T-shirts sold and S represent the number of shorts sold.
Given that people bought 4 times as many T-shirts as shorts, we have the equation T = 4S.
Since the total sales were $1,040, we can write another equation: 5T + 6S = 1040.
We can substitute the value of T from the first equation into the second equation to solve for S. Substituting 4S for T, we get 5(4S) + 6S = 1040. Simplifying this equation gives us 20S + 6S = 1040. Combining like terms, we have 26S = 1040. Solving for S, we find that S = 40.
Substituting this value back into the first equation, we can find T: T = 4(40) = 160.
Therefore, the total number of T-shirts and shorts sold is 160 + 40 = 200.
what is 750 * 750 ????????
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Hope this helps.
The scale factor is 3:1 what would y and x be ? Having a hard time trying to figure this out
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Cross multiply:
[tex]3y = 30[/tex]
Divide by 3:
[tex]y = 10[/tex]
Answer: y = 10
[tex]\dfrac{3}{1} = \dfrac{x}{8}[/tex]
Cross multiply:[tex]x = 24[/tex]
Answer: x = 24
The distance between two towns in a map is 6 cm. The actual distance between two towns is 48 km. What is the scale on the map
A. 1 cm : 6 km
B. 1 cm : 7 km
C. 1 cm : 8 km
D. 1 cm : 9 km
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6:48=1:8
hope this helps
Please help I’m stuck
Answers
I hope this helps. If it does, please rate as Brainliest
a traffic light on a busy north-south street is programmed according to this pattern: green for 4 minutes followed by red for 2 minutes. mr gomez goes through this intersection on his way to an from work everyday. last week, he kept a record of the number of times it was green as he approached the intersection and the number of times he had to stop because the light was res. his record is as follows green green red green green green green green green green, what is the therorerical probability that the light will be green each time mr gonez approaches the intersection
Answers
The theoretical probability is the expected amount of times that the light would be green. The light is green for 4 minutes and red for 2 minutes for each series. That means 4 out of the total 6 minutes are green.
4/6 = 2/3
8, 15, 14, 9, 1, 6, 3
What number would come next in the sequence above, 4, 7, 10, or 12? Explain your answer.
Answers
The next number in the sequence will be 12.
Explanation
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically 'Twelve' will be the next number after 'Three'
So, the next number in the sequence will be 12.
It takes a ship 3 hours to cover 72 km with the current and 4 hours against the current. Find the speed of the ship in still water and the speed of the current.
Answers
a- speed of current
(x+a)- speed with current
(x-a) - speed against current
(x+a)*3=72
(x-a)*4=72
x+a=24
+ x-a=18
2x =42
x = 21
x+a=24, 21+a=24, a=3
The speed of the ship in still water = 21 km/h,
the speed of the current =3 km/h.
Answer:
ship = 21 km/h,
current =3 km/h.
Step-by-step explanation:
Write your answer as a fraction in simplest form:
A number cube is rolled 37 times and the results are recorded as follows: 2 ones, 6
twos, 7 threes, 8 fours, 9 fives, and 5 sixes. What is the experimental probability of
rolling a number less than 4?
Answers
[tex] |\Omega|=37\\
|A|=15\\\\
P(A)=\dfrac{15}{37}\approx41\% [/tex]
Can someone HELP ME DO THIS??
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43.00+8.60 = 51.60
Tip= 20%
Total= Meal + (Meal * 20%)
= $43 + ($43 * 20%)
convert % to decimal (20% ÷ 100 or simply move decimal 2 places left)
= 43 + (43 * 0.20)
multiply inside parentheses
= 43 + 8.60
= $51.60 total
ANSWER: The total, including a 20% tip, is $51.60.
Hope this helps! :)
A 35-meter length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut?
Answers
The cable is cut into 28 pieces.
Explanation:To find how many pieces the cable is cut into, we can divide the total length of the cable by the length of each piece. In this case, the total length of the cable is 35 meters and the length of each piece is 1.25 meters.
Dividing 35 meters by 1.25 meters gives us:
35 m ÷ 1.25 m = 28 pieces
Therefore, the cable is cut into 28 pieces.
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