Answer:
b)
Step-by-step explanation:
i hope this help you
if sinA=1/2 then find sinA +cos A
Step-by-step explanation:
Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8 → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA = (1/2)2 + 4(3/8) = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .
Given that,
[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]
Find the size of angle XZY.
Give your answer to 1 decimal place,
Z
15 cm
Y
6 cm
Answer:
23.6 degrees
Step-by-step explanation:
Alvin is 14 years younger than elga. The sum of their age is 78.
Answer: 46
Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)
Answer:
the answer is Equal to zero
Step-by-step explanation:
hope it's help correct me if I'm wrong <3
Answer:
≥0
Step-by-step explanation:
This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.
-2/-1
This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.
0/1
Hmm...this one is equal to 0. Seems like we have ≥0 right now.
2/3
>0, right? Well, since we have expression ≥0, that's your answer!
Hope it helps!
Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?
Answer:
40 applesStep-by-step explanation:
Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?
so 1 apple has 1/10 gram of fat
10 apples = 1 gram of fat
10 * 4 = 40 apples have a total of 4 grams
A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
The table shows information about all students in a Year 7 form class.
Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35
A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.
Answer:
18/35
Step-by-step explanation:
favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).
Hi pls help me I'm mad struggling
<3
Answer:
should have studied
Step-by-step explanation:
There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk
All the peoples in a group walk 240 miles.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
There are 4 groups of 20 peoples.
And, Each person walk 3 miles.
Now,
Since, There are 4 groups of 20 peoples.
So, Total number of peoples in 4 groups = 4 x 20
= 80
And, Each person walk 3 miles.
So, The distance cover by 80 peoples = 80 x 3
= 240 miles.
Thus, All the peoples in a group walk 240 miles.
Learn more about the multiplication visit;
https://brainly.com/question/2811940
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5. What percent of 36 is 24?
A. 50%
B. 66.7%
C. 75%
D. 80%
Answer: B. 66.7%
Step-by-step explanation:
Divide 24 by 36:
24/36 = 2/3
B. 66.7%
Answer:
answer is B I just had the test
Step-by-step explanation:
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is:
Step-by-step explanation:
2079 / 297 = 7
that is the first indication about what we need.
but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.
297 = 27×11
therefore,
2079 = 27×11×7
and the other number must now be
27×7 = 189
because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.
there are only 2 other factors available in 2079 : 11 and 7.
297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.
hence the solution.
the other number is 189
and the other number must then be 27×7 = 189
If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)
20+3(3y-4x)
if x=4 y=6
20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26
answer: 26.
7. Elle can buy milk at a local farmers'
market for $3.58 per gallon or at the
grocery store for $3.79 for 4 L. Which
is the better buy?
Answer: They are the same equivalent price, $0.95/liter.
Step-by-step explanation:
Choices: $3.58 per gallon, or $3.79 for 4 L.
========
We need to convert one of the volumes. I'll convert gallons to liters.
By definition, 1 gallon = 3.785 liters
Make this into a conversion factor:
We can make it either:
1) (3.785 liters/gallon), or
2) (1 gallon/3.785 liters)
Now convert the $3.58/gallon into dollars/liter. We'll use the second conversion factor so that gallons cancels out when we multiply:
($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.
The grocery store milk must also be converted to a price expressed per 1 liter:
$3.79 for 4 L
= $0.95/liter.
They are the same equivalent price, $0.95/liter.
Determine the y-intercept of the graph.
Answer:
Your y intercept is 1.
Step-by-step explanation:
slope is y2-y1 over x2-x1, or 2.
slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b
and if you solve that, 2x1=2, 3-2=1.
then you get 1 as your y intercept.
HELP ASAP
Find the slope from the following points.
(-2, 12) (4, -6)
Answer:
-3
Step-by-step explanation:
Slope formula
solve for x help it's due today
Answer:
x = 8√2
Step-by-step explanation:
use the pythagorean theorem with the 2 sides being the same
16^2 = x^2 + x^2
256 = 2x^2
Divide both sides by 2
128 = x^2
Take the square root of both sides
x = √128
x = √(64 * 2)
x = 8√2
Answer:
x= [tex]8\sqrt{2}[/tex] or 11.31
Step-by-step explanation:
You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.
Side C= 16
Side A= Side B
45-45-90 Formula
Side C= [tex]a\sqrt{2}[/tex]
16= [tex]a\sqrt{2}[/tex]
[tex](16= a\sqrt{2})^{2}[/tex]
256=[tex]2a^{2}[/tex]
128=[tex]a^{2}[/tex]
[tex]\sqrt{128}[/tex]=a
a= [tex]8\sqrt{2}[/tex] or 11.31
PLS HELP ALSO CHECK OUT MY LAST QUESTIONEACH ONE IS 20 POINTS!!!!
a scuba diver descended at a rate of 2 1/4 feet per second. I f 0 reprasents the serface of the water and distance below the serface is negative, which expression reprasents one way to calculate the location of the diver after 12 have a half (12 1/2) seconds?
A. 12 1/2 - 2 1/4
B. 12 1/2 + 2 1/2
C. 12 1/2 x 2 1/2
D. 12 1/2 x (-2 1/4)
Answer:
D
Step-by-step explanation:
Non of the other answers have negatives in them. And you would solve with multipliation.
It's D. Look at the one above me.
The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet
Answer:
The casino is making 47 cents profit on your $1 bet
Step-by-step explanation:
19(1/38) + (-1)(37/38) = -0.4736
What is the slope of a line that passes through the points (4, - 3) and (- 2, 9)
Answer:
-2
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
= 9 - (-3) / -2 -4
= 12 / -6
= -2
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
0.36 in simpliest form with the line over the 6
Answer:
11/30
Step-by-step explanation:
Let x = 0.366666666.....
Then
100x = 36.6666666....
10x = 3.6666666...
subtracting 100x - 10x eliminates the trailing 6s
90x = 33
divide both sides by 90
x = 33/90
reduce
x = 11/30
How do i find the value of x in this equation?
Answer:
5x-10=60
5x=70
x=14
Hope This Helps!!!
Answer: 14
Step-by-step explanation:
Thr two angles are equal, so we can write:
5x-10 = 60
5x = 70
x = 14
If correct I’ll give you brainly
Answer:
0.4*0.5=0.2
Step-by-step explanation:
each shaded area is 10 by something, so we can assume this model is representing decimals
the other sides are 4 and 5, and it is in 10, so it is 0.4*0.5
0.4*0.5=0.2
PLEASE HELP IT’S TIMED!!!! 50 POINTS!!!
Hello everyone! I have to do this HW assignment and I have no idea how to do this and what the answer is. Please help ASAP!
Answer:
D) 16
Step-by-step explanation:
Find out the what is the constant of proportionality .
To prove
As given
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Then
y = kx
Where k is the constant of proportionality.
48/3k
k=16
write a recursive formula for this sequence
2.3, 2.8, 3.3, 3.8, ...
Answer: 2.3
Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence
a recursive formula for the sequence is : An+1=An +0.5
Weather report, pls help me y’all i don’t wanna fail this class i beg you plss
Answer:
1
Step-by-step explanation:
How to solve (8x-3)(5x+4)=0
Answer:
x= 3/8 = 0.375 , x= -4/5= -0.8
Step-by-step explanation:
8x-3=0
8x=3
8x/8 = 3/8
x= 3/8 converted to decimal will be =0.375
for 5x+4=0
5x= -4
5x/5 = -4/5
x= -4/5 = converted to decimal will be = -0.8
Answer:
x —4/5 or 3/8
Step-by-step explanation:
hope it helps u
plzz plzz plzz mark as brainliest
Find the perimeter. Simplify your answer.
Answer:
3s+10s+10s+3s=9+3+3+9
26s=24
s=26+24
s=50 cm