Answers
Answer:
[tex]\frac{12}{25}[/tex] ↔ sinD × cosD
[tex]\frac{3}{5}[/tex] ↔ sinC
[tex]\frac{16}{15}[/tex] ↔ cosC × tanD
[tex]\frac{4}{5}[/tex] ↔ sinD
Step-by-step explanation:
In the given triangle CBD
∵ ∠B is a right angle
∴ CD is the hypotenuse
→ We can use the trigonometry ratios
∵ sinC = opposite side of ∠C ÷ hypotenuse
∴ sinC = [tex]\frac{BD}{DC}[/tex]
∵ BD = 3 and CD = 5
∴ sinC = [tex]\frac{3}{5}[/tex]
∵ cosC = adjacent side of ∠C ÷ hypotenuse
∴ cosC = [tex]\frac{BC}{DC}[/tex]
∵ BC = 4 and CD = 5
∴ cosC = [tex]\frac{4}{5}[/tex]
∵ tanC = opposite side of ∠C ÷ adjacent side of ∠C
∴ tanC = [tex]\frac{BD}{BC}[/tex]
∵ BD = 3 and BC = 4
∴ tanC = [tex]\frac{3}{4}[/tex]
∵ sinD = opposite side of ∠D ÷ hypotenuse
∴ sinD = [tex]\frac{BC}{DC}[/tex]
∵ BC = 4 and CD = 5
∴ sinD = [tex]\frac{4}{5}[/tex]
∵ cosD = adjacent side of ∠D ÷ hypotenuse
∴ cosD = [tex]\frac{BD}{DC}[/tex]
∵ BD = 3 and CD = 5
∴ cosD = [tex]\frac{3}{5}[/tex]
∵ tanD = opposite side of ∠D ÷ adjacent side of ∠D
∴ tanD = [tex]\frac{BC}{BD}[/tex]
∵ BD = 3 and BC = 4
∴ tanD = [tex]\frac{4}{3}[/tex]
Let us find the answer to each tile
→ sinD = [tex]\frac{4}{5}[/tex] ⇒ 4th answer
→ sinC = [tex]\frac{3}{5}[/tex] ⇒ 2nd answer
→ sinD × cosD = ( [tex]\frac{4}{5}[/tex]) × ([tex]\frac{3}{5}[/tex]) = [tex]\frac{12}{25}[/tex] ⇒ 1st answer
→ tanC × tanD = [tex]\frac{3}{4}[/tex] × [tex]\frac{4}{3}[/tex] = 1 ⇒ Not used
→ cosC × tanD = [tex]\frac{4}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{16}{15}[/tex] ⇒ 3rd answer
Answer: ↔ sinD × cosD
↔ sinC
↔ cosC × tanD
↔ sinD
Step-by-step explanation:
In the given triangle CBD
∵ ∠B is a right angle
∴ CD is the hypotenuse
→ We can use the trigonometry ratios
∵ sinC = opposite side of ∠C ÷ hypotenuse
∴ sinC =
∵ BD = 3 and CD = 5
∴ sinC =
∵ cosC = adjacent side of ∠C ÷ hypotenuse
∴ cosC =
∵ BC = 4 and CD = 5
∴ cosC =
∵ tanC = opposite side of ∠C ÷ adjacent side of ∠C
∴ tanC =
∵ BD = 3 and BC = 4
∴ tanC =
∵ sinD = opposite side of ∠D ÷ hypotenuse
∴ sinD =
∵ BC = 4 and CD = 5
∴ sinD =
∵ cosD = adjacent side of ∠D ÷ hypotenuse
∴ cosD =
∵ BD = 3 and CD = 5
∴ cosD =
∵ tanD = opposite side of ∠D ÷ adjacent side of ∠D
∴ tanD =
∵ BD = 3 and BC = 4
∴ tanD =
Let us find the answer to each tile
→ sinD = ⇒ 4th answer
→ sinC = ⇒ 2nd answer
→ sinD × cosD = ( ) × () = ⇒ 1st answer
→ tanC × tanD = × = 1 ⇒ Not used
→ cosC × tanD = × = ⇒ 3rd answer
Step-by-step explanation:
Related Questions
What is the radian measure of an angle equal to 225 degrees????
Answers
Answer:
225° = 5π/4 radians.
Step-by-step explanation:
hope this helps :D
The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Given,
225 degrees.
We need to find the radian measure of 225 degrees.
What is the radian measure of an angle?
We have,
π radian = 180 degree
So,
2π = 360 degrees.
This is the formula for the radian of an angle.
Find the radian measure for 225 degrees.
We have,
π radian = 180 degrees
Multiply 225/180 on both sides by 180.
225/180 x π radian = 225/180 x 180 degrees
1.25 π radian = 225 degrees
or
We can take π = 22/7 = 3.14
225/180 x 3.14 radian = 225 degrees.
3.925 radian = 225 degrees
Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Learn more about the measure of an angle from a radian here:
https://brainly.com/question/8916147
#SPJ2
solve -1 < x + 1 ≤ 6
Answers
Answer:
-2<x≤5
Step-by-step :
-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.
-1<x+1≤6 I would start off by isolating x in the middle.
-1<x+1≤6 I subtracted 1 from all three sides.
-1 -1 -1
Now your equation should look like this:
-2<x≤5 Now there is really nothing much we can do here since we were just trying to get x by its self.
Answer : -2<x≤5
WHOEVER ANSWERS IT RIGHT WILL GET BRAINST ASAP DUE IN 5 MINUTES
Answers
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I checked it an fits right hope this helps!!
Pls help me solve for x ill give 10 points away
Answers
Answer:
.53 pounds of dog food each day.
Step-by-step explanation:
Use PEMDAS to solve
A clothing store is selling T-shirts at 2 for $15. If Michael purchases 8 T-shirts, how much money will he spend?
Answers
Answer:
$60
Step-by-step explanation:
2 T-shirts = $15
Longer version
15/2 = $7.50
1 T- shirt = $7.50
7.50*8 = $60
Short version
2 T-shirts = $15
bought 8 so 8/2 = 4
4*15= 60
(take 2 bc i messed up) What is √30 simplified
Answers
Answer: the square root of 30 is simplified to 5...
Hope this helps! :D
Step-by-step explanation:
Answer:
Square root of 30 simplified is 5
Step-by-step explanation:
Hope this helps! c:
I’ll give the Brainliest to who answers the question with and reasonable explanation.
When is the constant of proportionality the same as the unit rate when comparing two quantities?
A. Only when the two quantities are indirectly proportional
B. Only when the two quantities are directly proportional
C. Always
D. Never
Thank you!
Answers
Answer:
it's A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Just got it correct
6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *
Answers
Answer:
The total number of adults will be: 120 adults
Step-by-step explanation:
Given that there were 24 adults and 10 children in a game.
Thus, adults to children ration = 24:10 or 24/10
If there were 50 children, how many adults would be at the game?Let 'x' be the number of adults when there 50 children.
so the ration of adults 'x' to 50 childern = x: 50 or x / 50
As the ratio is the same.
Thus,
24 : 10 = x : 50
24/10 = x/50
switching sides
x/50 = 24/10
x = 24/10 × 50
x = 120 adults
Therefore, the total number of adults will be: 120 adults
A box in the shape of a rectangular prism measures 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box.
Answers
Answer:
8x ft^3
Step-by-step explanation:
Step one:
given
dimension of the box
Length= 2ft
width = x ft
Height= 4 ft
Required;
the expression for the volume of the box
Step two:
We know that the volume is expressed generally as
V=L*W*H
V= 2*x*4
V= 8x ft^3
The expression for the volume is V= 8x ft^3
Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.
Answers
Answer:
Aldo's shirt was made of 13/15 meters of fabric.
Step-by-step explanation:
We need to add these fractions. However, in order to do so, we need to find the LCM, which in this case, is 15.
1/5 + 2/3 =
3/15 + 10/15 =
13/15
This fraction is also written in simplest form. Therefore, Aldo's shirt was made of 13/15 meters of fabric.
Hope this helps! :D
6x+4y=42 -3x+3y=-6 by elimination
Answers
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answers
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What are the odds of a yellow marble being selected on the first draw?
A.1:5
B.4:2
C.2:4
D.3:3
20 points
i really need help im way behind and im low on points but i can share my instagram
:D
Answers
Answer:
2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.
Evaluate x – y if x = 5 and y = -2.
Answers
Answer:
7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x - y
x = 5
y = -2
Step 2: Evaluate
Substitute: 5 - -2Simplify: 5 + 2Add: 7A person at a local airport spotted an airplane at an angle of depression of 23° on the tarmac. If the person saw the plane from the airport tower that is 120 ft high, how far away is the plane from the airport tower?
Answers
Answer: 282. 7 feets
Step-by-step explanation:
Height = 120 ft
θ = 23°
To obtain the distance (d) of plane from airport tower :
Tan θ = h / d
Tan 23 = 120 / d
0.4244748 * d = 120
d = 120 / 0.4244748
d = 282.70229
d = 282.7 feets
What is the value of (2)⁶?
Answers
Answer:
64
Step-by-step explanation:
2 to the sixth power would be 2 multiplied by itself 6 times
2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday number of packs sold of black, red and green pens = 7 : 3 : 4 A total of 212 were sold.
Answers
Answer:
The number of green pens sold is 96.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A shop sells packs of black pens, packs of red pens and packs of green pens. There are:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
The explanation of the answer is now given as follows:
Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:
7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24
Based the new ratio, we have:
Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245
The number of green pens sold can now be calculated as follows:
Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96
Therefore, the number of green pens sold is 96.
what is the sum of four consecutive odd numbers is 80?
Answers
Answer:
Let first number be x , so other numbers will be x+2,x+4 and x+6. Now sum of all these number is 4x+12=80 or x=(80–12)/4=68/4=17 . So numbers are 17,19,21 and 23.
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
Maggie says the LCM of 8 and 12 is 24. Her friend Glen says the answer is 4. Who is rigth?
Answers
Answer:
Maggie
Step-by-step explanation:
1 3 Which is the best estimate of 11. 113 2 4? O 4 O 6 o 22 O 33
Answers
Answer:22
Step-by-step explanation:
A third friend offers you a flat $20 to watch his dog during the same time. Tell whether you would choose this job over either of the other two and explain why.
Answers
Determine m∠A, m∠B, and m∠C.
Answers
Answer:
huh? I have no clue sorry
Answer:23
Step-by-step explanation:
Eduardo lives in Argentina and travels to Uruguay for a holiday
(a) His flight from Buenos Aires to Montevideo takes 55 minutes.
The plane departs at 1735.
Write down the arrival time.
Answers
Step-by-step explanation:
55 minutes after 1735 is 1830.
I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS
Answers
Answer:
That is igneous
Step-by-step explanation:
solve for x (log) PLEASE HELP ASAP! thank you!!!! *will give brainliest ofc*
Answers
Answer:
( D ) x = 6
Hope this helps !! :)
Solve the Equation:
3x-4=10 what is x
Answers
Answer:
14
3
Step-by-step explanation:
Create a word problem where the answer to the problem is $10.50. Write the equation under.
Answers
Answer:
Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents
Step-by-step explanation:
10 + .50 = 10.50
Evaluate the following expression using the values given: Find LaTeX: 3r^2-5s+6t3 r 2 − 5 s + 6 t if LaTeX: r=2,\:s=-4,\:t=-1r = 2 , s = − 4 , t = − 1
Answers:
-2
26
38
-14
Answers
Answer:
26
Step-by-step explanation:
These problems always really confuse me but I took a quiz with this question and this is my answer 26
Answer:26
Step-by-step explanation:
i just took the test
I'm very confused, I don't know where to even start! Please help me!!
Answers
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
What is three hundred forty two thousandths in decimal form?
Answers
Answer:
C
Step-by-step explanation:
it says thousandths and a number group with a th at the end is on the right of the decimal.
Answer:
C: 0.342
Step-by-step explanation:
Here's how it works:
.(tenth)(hundredth)(thousandth)
Therefore,
"Three hundred forty-two thousandths" is 0.342.