A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answers
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
Related Questions
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answers
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°
Answers
[tex]2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\[/tex]
[tex]\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\[/tex]
[tex]x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\[/tex]
[tex]\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right][/tex]
A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?
Answers
Answer:
7 quarters
Step-by-step explanation:
which statement about tuition is the most accurate?
Answers
Answer:
C. Public colleges are cheaper for in-state residents.
Step-by-step explanation:
what's the Answer ?
[tex] \tiny\sf{6 + 6 \div 3}[/tex]
Answers
Answer: 8
Step-by-step explanation:
PEMDAS
division first
6 + 2
8
Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
6/3 = 2
6+2 = 8
HAVE A NICE DAY
Need help with this math equation
Answers
easy one for you folks. show work. giving brainly.
who had to shovel more area of the driveway?
Answers
Answer:
Ahmed shoevked more than sheldon
An advantage of using graphics is the ability to
A) avoid data.
B) limit communication of information.
C) present information in a brief format.
D) There are no advantages to graphics.
Answers
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
An advantage of using graphics is to present information briefly.
Bobby and Sue Ellan both ride their bikes to the library. Bobby’s home is 6.5 blocks from the library and Sue Ellan’s home is 1 ½ times farther from the library than Bobby’s home. How much farther must Sue Ellan ride her bike to get to the library than Bobby does?
Answers
Answer:
3.25 blocks
Step-by-step explanation:
6.5 * 1.5 = 9.75 blocks
9.75 - 6.5 = 3.25blocks
Farther 3.25 blocks sue ellan need to ride than Bobby ride
what is the answer to 'Which problem would be solved using multiplication, and what is the solution to the problem?'
Answers
Answer:
Jim is 12 years old. Anna is 3 times older than Jim. Calculate Anna’s age using multiplication.
Step-by-step explanation:
The problem above is solved by using multiplication and the solution to the problem is 36.
you multiply 12 * 3 and you get 36.
hope that helps!
pls help me solve this
Answers
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 5 x 4
Area of triangle = 10
Volume = area of triangle x length
Volume = 10 x 12
Volume = 120 cm^3
What is the equation of the line that is parallel to the
given line and passes through the point (-3,2)
Answers
Answer:
Step-by-step explanation:
A parallel line will have the same slope as the reference line. In this case, I don't see the "given line" as promised in the question. If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.
If this slope is correct, we can start the equation for the parallel line that goes through point (-3,2) by starting with:y = 5x + bWe need a value of b that forces the line to go through point (-3,2). We can do that by using the given point in the equation and solving for b:y = 5x + b2 = 5(-3) + bb = 17The parallel line to y=5x+3 isy = 5x + 17See attachment.I need helpppppppppppop
Answers
Answer:
Step-by-step explanation:
Domain: I don't see any restrictions on the domain, although at some point y will become exceedingly large.
Range: -9 to infinity
Increasing Interval: x>2
Decreasing Interval: x <2
End behavior:
- as x ⇒∞, y⇒∞
If 3
persons can weave 168 shawls in 14 days, how many shawls will be
woven by 8 persons days?
Answers
Answer:Given that 3 persons can weave 168 shawls in 14 days. Then, Shawls are woven in 1 day by the 3 men = 168/14 = 12. Shawls are woven in 1 day ...
Step-by-step explanation:
make q the subject of the formula
Answers
Answer:
q = 2p - 1/3
Step-by-step explanation:
2q + 2p = 1+5q
2q = 1+5q-2p
-3q=1-2p
-q = 1-2p/3
q= 2p-1/3
Answer:
q=[tex]\frac{2p-1}{3}[/tex]
Step-by-step explanation:
2(q+p)=1+5q
EXPAND BRACKET
2q+2p=1+5q
MINUS 2q FROM BOTH SIDES
2p=1+3q
MINUS 1 FROM BOTH SIDES
2p-1=3q
DIVIDE BOTH SIDES BY 3
[tex]\frac{2p-1}{3}[/tex]=q
is -2x+3 the same as 2x-3
Answers
Answer:
no they are different numbers, however their signs are inverted
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...
-2x+3 = 10 2x-3 = 10
-3 -3 +3 +3
------------------ -----------------
-2x = 7 2x = 13
x = [tex]\frac{7}{2}[/tex] x = [tex]\frac{13}{2}[/tex]
x = 3.5 x = 6.5
As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.
Hope this helps! :D
25*10to the power of 6 in standard form
Answers
Answer:
2.5 x 10^7
Step-by-step explanation:
Max can run 10 miles in 2 hours. At this rate, how long will it take him to run 25 miles
Answers
Answer:
Step-by-step explanation: 10 miles per 2 hours is the First step. Knowing this helps a lot. Next you need to understand your solving for 25 miles. 10 goes into 25 2.5 times. This means you need to multiply the time by 2.5 as well. That would be 5 hours.
It took a cheetah 45 minutes to run from Jungle A to Jungle B.
Its average speed was 80 km/h. Find the distance between
the two jungles.
Answers
so you need to find 3/4 of 80 (60 Km/h)
and since 45 minutes is 3/4 of an hour
your answer is (60 Km/h)
Answer:
The distance between the two jungles is 60 km
Step-by-step explanation:
cheetah is going 80km/hr or (80km/60min)
using this 45min is 3/4 of 60 min
and 3/4 of 80km is 60km
So basically
[tex]\frac{80km}{1hr} = \frac{80km}{60min} * \frac{0.75}{0.75} = \frac{60km}{45min}[/tex]
First person to get it right will get Brainly and 20 points. Good luck
Answers
Answer:
16/20
Step-by-step explanation:
4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5
The answer is 16/20 I think.
hi guys can y’all help me with this problem? i’m stuck :p
Answers
When you reflect across the y-axis, the sign of x changes
When you reflect across the x-axis, the sign of y changes
So the answer should be the first one
A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km
Answers
Distance = 1,000,000 cm or 10 km
Radius = 50 cm or 0.0005 km
Distance/(2πR)
1,000,000/(2π*50)
1,000,000/314.059…….
Approx = 3183.1 Rotations
Sixty-seven percent of 237 people own
their homes. About how many people
own their homes?
Answers
Answer:
about 159 people own their homes
(158.79)
Step-by-step explanation:
When you want to find the percentage of a number, multiply that number by the percentage's decimal
example: 20% of 300
20%=20/100=0.20
300×0.20=60
Your welcome!
if you can, please mark brainliest :)
Jeremy brought a sandwich and a drink that cost him $7. His drink cost $1.75. Solve the equation 7=s + 1.75 to find s, the cost of Jeremy’s sandwich.
Answers
Answer:
s= $5.25
Step-by-step explanation:
7-1.75=5.25
7=5.25+1.75
s=$5.25
Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of 444 visits. Here is how many candies each person took: 1, 2, 1, 41,2,1,41, comma, 2, comma, 1, comma, 4 Dwight found the mean was \bar x=2 x ˉ =2x, with, \bar, on top, equals, 2 candies. He thinks the standard deviation is s_x =\sqrt{\dfrac{(1-2)^2+(2-2)^2+(1-2)^2+(4-2)^2}{3}}s x = 3 (1−2) 2 +(2−2) 2 +(1−2) 2 +(4−2) 2 s, start subscript, x, end subscript, equals, square root of, start fraction, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 2, minus, 2, right parenthesis, squared, plus, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 4, minus, 2, right parenthesis, squared, divided by, 3, end fraction, end square root What is the error in Dwight's standard deviation calculation? Choose 1 answer: Choose 1 answer: (Choice A) A The order of subtraction is incorrect in each of the deviations. (Choice B) B He is missing a deviation in the numerator. (Choice C) C He should only take the square root of the numerator. (Choice D) D He shouldn't square each deviation in the numerator. (Choice E) E There is no error; his calculation is correct.
Answers
Answer: B
Step-by-step explanation:
Hehehehehsheh help pls need help asap
Answers
Answer:
c
Step-by-step explanation:
hope this helps
Help me with this I can’t ;c
Answers
Hello there, this is how we would solve this problem, we can see that angle KAE equals 90° and we have an angle that equals 62° now since angle GCJ or also known as x is a vertical angle with IAD we can make the following equation
[tex]x+62+90=180[/tex] subtract 62 and 90 from both sides and we get that [tex]x=28[/tex]°
if you drove 200 miles at an average speed of 55 miles per hour, how long did it take you to drive 200 miles? pls help
Answers
Answer:
3 hours 38 minutes is what calculators online say
Step-by-step explanation:
Solve for m: m – 4.2 = 5.1
Answers
Answer:
M equals 9.3
Step-by-step explanation:
To get m alone add 4.2 to each side
PLEASE HELP GIVING 50 POINTS!!
Answers
Answer:
y = 18
Step-by-step explanation:
Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor
x = 10, y = 12
x= 15, y = 1.5×12 = 18
The new value of y is y = 18.
_____
Written as a proportion, you have ...
y/15 = 12/10
y = 15×12/10 = 18
__
Written as a direct variation equation, you have ...
y = kx
12 = k·10 ⇒ k = 1.2
y = 1.2·15 = 18 . . . . for x=15
