Which trigonometric expression is to equal to the ratio 12/13 in the right triangle?
A. tan X
B. cos X
C. tan W
D. cos W
Answers
Answer:
[tex]\Huge\boxed{D}[/tex]
Step-by-step explanation:
Hello There!
To find the answer we want to find the trigonometric ratio for each answer choice
important note;
[tex]sin =\frac{opposite}{hypotenuse} \\\\cos=\frac{adjacent}{hypotenuse} \\\\tan=\frac{opposite}{adjacent}[/tex]
for A,
the opposite of angle X is 12 and the adjacent of angle x is 5
so [tex]tanX=\frac{12}{5}[/tex] therefore A is not the answer
for B,
the adjacent of angle x is 5 and the hypotenuse is 13
so [tex]cosX=\frac{5}{13}[/tex] therefore B is not the answer
for C,
the opposite of angle W is 5 and the adjacent of angle W is 12
so [tex]tanW=\frac{5}{12}[/tex] therefore C is not your answer
for D,
the adjacent of angle W is 12 and the hypotenuse is 13
so [tex]cosW=\frac{12}{13}[/tex] therefore D is your answer
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Step-by-step explanation:
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Step-by-step explanation:
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1.) On Tuesday at lunchtime, it was 29°C. By sunset, the temperature had
dropped to 16°C. How much did the temperature change by?
Answers
Answer:
Expression is; 29 - x = 16
Step-by-step explanation:
I've attached an image showing the number line
Step-by-step explanation:
We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.
Let the drop be x.
Thus;
29 - x = 16
I've attached an image showing the number line
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Answers
Answer:
C (both)
step by step explanation:
Answer:
C. Both (1, 11) and (-1, -5)Step-by-step explanation:
y = 8x + 3Substitute the values of (x, y)
(1, 11)
11 = 8*1 + 311 = 11yes(-1, -5)
-5 = 8(-1) + 3-5 = -8 + 3-5 = -5 yesBoth pairs are solutions
Correct choice is C
What is the value of the expression?
Answers
Answer:
6s2
= 6(2)2
= 12 × 12
= 144
: The value of the expression is equal to 144
Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is
Answers
Answer:
point form : (9,2) equation form : x=9 y=2
Step-by-step explanation:
What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...
Answers
Answer:
4/15
Step-by-step explanation:
To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying
4/5
2/3
8/15
2/5
From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15
4/5 * 3/3 = 12/15
2/3 * 5/5 = 10/15
8/15 * 1/1 = 8/15
2/5 * 3/3 = 6/15
I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.
From the new crop of fractions, we have
12/15
10/15
8/15
6/15
If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15
find the missing value and please show how
Answers
Answer:
Step-by-step explanation:
∠YUV = 29 + 62 {Exterior angle property}
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Exterior angle property : Exterior angle equal the sum of opposite interior angles.
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Answers
Answer:
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Step-by-step explanation:
1000009778
Step-by-step explanation:Have a good one!
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Answers
Answer:
Radius=7.5cm
Diameter=15cm
Step-by-step explanation:
The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.
HOPE THAT HELPS AND MAKES SENSE! :)
(10-x)(3x -9)=0
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Answers
Answer:
Step-by-step explanation:
Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.
(10-x)(3x-9)=0 when
10-x=0, x=10
3x-9=0, x=9/3=3
So there are two solutions when x=3 and x=10
If A D and C F, which additional statement does NOT allow you to conclude that AABC = ADEF?
Answers
Answer:
B
Step-by-step explanation:
i think its b because all the other answers are talking about the sides but b is talking about the angles which in the question it states angles (A,D,C, and F) so going off an educated guess i would say the answer is b i dont know if its correct or not though.
It takes 9 hours for 8 men to paint a room.
How many men would be needed to paint the room in 4 hours?
Answers
Answer:
4.5 just put 5
Step-by-step explanation:
9 divided by 8 = 1.125
1.125 × 4 = 4.5
HELPPME PLEASE ASAP i will give brainliest
Answers
You do 90-73 = 17
X = 17 degrees
Answer:
don't know but I think these is the answer =
17
Step-by-step explanation:
90 - 73 = 17
a coin is tossed and a dice is rolled. What is the probability of getting tails with rolling a 2?
Answers
Answer:
50% for the coin and 1/6 chance for the dice
Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day
Answers
Answer:
53°
Step-by-step explanation:
not sure what you mean by nearest degree but use the cosine ratio to get the answer.
in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75
<C=cos^1 (45/75)
<C= 53°
1+1
Please help this is worth 80% of my grade
Answers
Answer:
2
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
So you take your numbers, 1 and 1.
You add them together 1+1.
You have your answer, 2.
write in its simplest form : 30 : 1 ¼ hour
Answers
Answer:
6
Step-by-step explanation:
The total cost, c, of belonging to two different gyms for m months is shown on the graph. The lines intersect at the point (4,250). Enter numbers in the boxes to explain what the solution means in the situation.
Answers
Answer: at 4 months the cost for each gym is $250
Step-by-step explanation:
At 4 month, the cost for each gym is $250
The y axis of the graph represents the membership cost and the x axis represent the number of month.
The lines representing gym A and B intersect at (4, 250).
The point where the lines intersect is when the cost and the month for each gym are the same.
Therefore, at 4 month, the cost for each gym is $250
learn more on linear equation here:https://brainly.com/question/13314270
Find the radius of a circle with a circumference of 94.25ft
Answers
Answer: approximately 15
Step-by-step explanation:
Answer:
radius = 5.48ft
Step-by-step explanation:
The formula for the circumference of a circle is: C = πr² or pie times the radius squared.
Now that we know this, we can plug in the equation.
94.25 = πr²
÷π ÷π
30 = r²
√30 = √r²
5.48 = r
So, the radius of the circle is 5.48 ft
find the value of given expression
[tex] \sqrt{99 - ( - 1)} [/tex]
Answers
Answer:
10
Step-by-step explanation:
Note that when there are two negative signs directly next to each other, you are adding:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]
Simplify:
[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]
10 is your value for the given expression
Answer:
± 10Step-by-step explanation:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10
Describe the pattern, write the next term, and write a rule for the nth term of the sequence,
-15,-24,-33,-42
Please show work
Answers
Step-by-step explanation:
Next term is - 51
Use formula Tn=a+(n-1)d
a=the first term of the sequence which is - 15
d=the difference between the terms which is - 9
Substitute
Tn=-15+(n-1)(-9)
Tn=-15+9-9n
Tn=-9n-6
From this you will be able to generate all the terms in the pattern
If they say determine the 50th term just substitute 50 by n
Tn=-9(50)-6
Tn=-450-6
Tn=-456
Write the standard equation of a circle with center (-2, -1) and radius 2.
Answers
Answer:
(x+2)^2+(y+1)^2=4
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle
Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared
Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?
Answers
Answer:
241 t-shirt and 49 short
Step-by-step explanation:
lets call shorts x and tshirts y
x+y=290 (first equation)
4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)
x=290-y
and substitute it with x in the second equation
4(290-y)+2y=678 then till u get to y=241 (the pieces sold)
290-241=49 (pieces sold)
so as proof 49+241=290 pieces sold
as proof also 4*49=196 price of all shorts sold
2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$
Mrs. Baxter deposits $2000 in an account that earns 5% interest. How much is Mrs. Baxter's investment worth after 8 years
Answers
Answer:
2954.91088758
Step-by-step explanation:
exact answer
7,469.25 to the nearest cent
Answers
It already is to the nearest cent. 25 cents.
Answer:
0
Step-by-step explanation:
A shape is made of 9 right triangles of equal size and three identical rectangles.
Each rectangle measures 7 mm wide by 3 mm high. The rectangles are each
7 mm wide by 3 mm high. What is the total area, in square millimeters,
of the shape?
Answers
Answer:
The area of the figure is 157.5 square millimeters.
Step-by-step explanation:
Since a shape is made of 9 right triangles of equal size and three identical rectangles, and each rectangle measures 7 mm wide by 3 mm high, while the rectangles are each 7 mm wide by 3 mm high, to determine what is the total area, in square millimeters, of the shape, the following calculations must be performed:
Area of a rectangle: base x height
Area of a triangle: (base x height) / 2
7x3 = 21 = Rectangle area
7x3 / 2 = 10.5 = Triangle area
21 x 3 + 10.5 x 9 = 157.5
Thus, the area of the figure is 157.5 square millimeters.
(I forgot to place the picture) A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service.
Answers
Answer:
5 minutes costs 5.20 10 minutes cost 7.20 $20 gets you 42 minutes
Step-by-step explanation:
for 5 and 10 multiply the number of minutes by the price per minute then add 3.2 base fee. 5*.4=2 +3.2=5.2 10*.4=4 +3.2=7.2
For $20 subtract the 3.2 base fee (16.8) and divide that by the .4 a minute fee to get 42 which would be 42 minutes.
HELP PLZ
1. A new bicycle sells for $300. It is on sale for off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.
A. 300 •1/4
B. 300 • 3/4
C. 300 - (1 - 1/4)
D. 300 – 1/4
E. 300 – 1/4•300
Answers
Answer:
Step-by-step explanation:
All of them beside D and A