The value of the tangent of angle α will be 35/12. Then the correct option is B.
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.
The triangle ΔABC is given below.
Then the value of tan α will be
tan α = 35 / 12
Then the correct option is B.
More about the right-angle triangle link is given below.
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Guess the rule and add the next number in the sequence.
6, 8, 12, 18, 26,
Answer:
The rule: Adds twice as much as the previous number added
Next number: 38
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.
please help asap!!!!
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
-12 +15 + (-30) +17= (?)
Answer:
-10
Step-by-step explanation:
-12+15=3
(-30)+17=-13
3+(-13)=-10
Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups
7.43+9.25 Show Your Work
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
please please please help
Answer:
I have no clue what part B is asking because I can't read it, but here is part A!
AB/PQ = 2/3
AC/PR = 2/3
BC/QR = 2/3
Step-by-step explanation:
Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.
So, AB/PQ = 6/9 = 2/3
And, AC/PR = 8/12 = 2/3
Also, BC/QR = 10/15 = 2/3
a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?
Answer:
1/3
Step-by-step explanation:
6x=2
x= 1/3
Answer:
1 kilo takes 20 minutes
Step-by-step explanation:
6kilo in 2hrs
3kilo in 1 hr
1hr = 60min
3kilo/3 = 1 kilo
60min/ 3 = 20 min
1 kilo * 6 = 6kilo
20min * 6 = 120min ( 2 hours )
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
if 2/5 cups of coconut shavings cover 1/4 of the cake, then how much coconut shavings are needed for the entire cake?
Answer:
24/20 cups or 6/5 cups.
Step-by-step explanation:
Good luck :)
Please help it’s due in 10 minutes
I will also venmo you $5
Answer:
[tex] \arc{PNM} = 222 [/tex]
Step-by-step explanation:
Central angle = measure of the arc it subtends
Therefore:
[tex] \arc{PN} = \arc{PM} = 138 [/tex]
A full circle = 360°
So,
[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]
Plug in the values
[tex] 138 + 138 + \arc{NM} = 360 [/tex]
[tex] 276 + \arc{NM} = 360 [/tex]
[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)
[tex] \arc{NM} = 84 [/tex]
[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]
Plug in the values
[tex] \arc{PNM} = 84 + 138 [/tex]
[tex] \arc{PNM} = 222 [/tex]
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
Estimate the quotient 19 4/5 • 4 5/8
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
help!! geometry
jjjjjjjjjjjjj
Answer:
107
Step-by-step explanation:
Since they are congruent triangles angle B is the same as angle D.
To find D, all angles add to 180 degrees, so:
41+32+x=180
73+x=180
X=107
So angle B is 107 degrees
What is the value of the expression 3y−4 when y = 2?
Answer: 2
Step-by-step explanation:
we simply plug in 2 for y.
3(2) - 4
6 - 4
6 - 4 = 2
Answer:
3y-4=2
3×2-4
=6-4
2 the value of y is 2
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Let,
x be the pounds of type A coffee used
y be the pounds of type B coffee used
According to given statement;
4.15x+5.25y=980.85 Eqn 1
y = 4x Eqn 2
Putting y=4x in Eqn 1
4.15x+5.25(4x) = 980.85
4.15x+ 21x = 980.85
25.15x = 980.85
Dividing both sides by 25.15
[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]
Hence,
39 pounds of type A coffee were used.
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
Please only 10% of people are smart to answer this
Answer:
it's the one highlighted in orange
Step-by-step explanation:
I hope this helps with your question :)
which of the following equations would have 2 x-intercepts
Answer:
None of these
Step-by-step explanation:
because if we plug in every time we will gwt one solution of X
Will mark brainliest!!!Solve for x and round to the nearest tenth
Answer:
i think its 63
Find function f(x) such that f(2x+1)=4x2 + 14x +7.
Answer: f=7 x=5
Step-by-step explanation:
I’m not sure because I solved on paper
I need to get the answer but I’m struggling to understand how to get the gradient
Answer:
-5
Step-by-step explanation:
gradient or slope of line: m = (y'-y)/(x'-x)
line pass (-2,5) (-1,0) (0,-5)
use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5
simplify the expression (-6i)(-6i)
Answer:
36i^2 i think that's right
this is a part of science too so pleae help
Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
Sin 30 = 5/x
Sin 30 = 1/2
x = 10
The length of the side x is 10.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
The length of side x can be calculated using the trigonometric identities.
We know that,
Sin x = Perpendicular / Hypotenuse
Sin 30 = 5 / x
1/2 = 5/x
Multiply 2 on both sides.
1= 10/x
x = 10
Thus,
The length of the side x is 10.
Learn more about trigonometric identities here:
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In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
Given the sets above, select all (or the null set) of the element of: B
Given:
Universal set = {a, b, c, d, e, f, g, h}
A = {a, b, c, d}
B = {a, d, e}
C= {c, f, g, h}
To find:
The elements of set B'.
Solution:
Let universal set be U.
U = {a, b, c, d, e, f, g, h}
We know that,
Compliment of a set = Universal set - Set
It means,
[tex]B'=U-B[/tex]
[tex]B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}[/tex]
[tex]B'=\{b, c,f, g, h\}[/tex]
Therefore, only b, c, f, g, h are the elements of set B'.
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge