Answer:
The value of sin Ф is [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
In quadrant II, the value of
sin Ф is positivecos Ф is negativetan Ф is negativeLet us solve the question
∵ sin²Ф + cos²Ф = 1
∵ cos Ф = [tex]\frac{-12}{13}[/tex]
→ Substitute it in the identity above
∴ sin²Ф + ([tex]\frac{-12}{13}[/tex])² = 1
∴ sin²Ф + [tex]\frac{144}{169}[/tex] = 1
→ Subtract [tex]\frac{144}{169}[/tex] from both sides
∵ sin²Ф + [tex]\frac{144}{169}[/tex] - [tex]\frac{144}{169}[/tex] = 1 - [tex]\frac{144}{169}[/tex]
∴ sin²Ф = [tex]\frac{25}{169}[/tex]
→ Take the square root of both sides
∵ √(sin²Ф)= ± [tex]\sqrt{\frac{25}{169}}[/tex]
∴ sin Ф = ± [tex]\frac{5}{13}[/tex]
∵ Ф is in quadrant II
∴ sin Ф is a positive value
∴ sin Ф = [tex]\frac{5}{13}[/tex]
∴ The value of sin Ф is [tex]\frac{5}{13}[/tex]
What is the sum of an even number plus an odd number?\
I'm getting a round about of answers is it even or odd?, everyone is saying it is always even, others are saying it always odd, shouldn't it be both?
if no please explain in detail thank you
please help
Answer:
both
Step-by-step explanation:
The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.
Dan rolls a fair dice 24 times.
How many times would Dan expect to roll an even number?
Answer:
It's going to be 4
Step-by-step explanation:
If (24 divided by 4) you get 6. So 4 basically is an even number :)
Answer:
Assuming a fair, six sided die, 4 would be expected to come up in one sixth of the trials, so 4 times in 24 rolls.
More formally:
Let X be the number of 4s rolled in 24 independent rolls of a fair six sided die. X is then distributed binomially with parameters n and p.
p = Probability of rolling a 4 = 1/6
n = Number of trials = 24
E [X] = np (by the properties of Binomial distribution)
E [X] = 4
Please help due soon will give brainliest
Answer:
G
Step-by-step explanation:
-4,1 because first is x axis and then y
Answer:
The answer is G (-4,1)
Step-by-step explanation:
The intersection means where the two lines meet. So look at that and you will find (-4,1) if that makes any sense.
Find the measure of angle 1.
a. 95
b. 100
c. 105
Answer:
b. 100
Step-by-step explanation:
180-50-50=80
180-80=100
Twice a number increased by seven is equal to five. Which of the following represents the equation and solution for this statement?
2 n + 7 = 5; n = -4.5
2 n = 7 + 5; n = 6
2 n + 7 = 5; n = -1
2( n + 7) = 5; n = -4.5
Hey there!
The answer to your question is the third option: 2n + 7 = 5; n = -1
"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":
2n + 7 = 5 Step 1: Write the equation.
2n = -2 Step 2: Subtract 7 from both sides.
n = -1 Step 3: Divide both sides by 2.
Therefore, "n" is equal to -1, and the third option would be correct.
Hope it helps! Have a great day, and good luck on your assignment!
Answer:
Step-by-step explanation:
The answer to your question is the third option: 2n + 7 = 5; n = -1
"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":
2n + 7 = 5 Step 1: Write the equation.
2n = -2 Step 2: Subtract 7 from both sides.
n = -1 Step 3: Divide both sides by 2.
Therefore, "n" is equal to -1, and the third option would be correct.
Order this set of numbers from least to greatest. 4, 8, -2, -6, 0
Answer:
-6, -2, 0, 4, 8
Step-by-step explanation:
How do you Creating equation from a table in slope-intercept form?
Answer:
Y=mx+b
Step-by-step explanation:
That is the equation to solve for your answer
PLEASE HELP ME BRAINLY I WILL GUVE BRAINLEST
Answer:
3z + 3z (the 3rd option)Step-by-step explanation:
1) The first option comprises of seven like terms and one 6, which would result in 7z + 6.
2) The second option is blank.
3) The third option comprises of two numbers with like terms that actually do add up to 6z.
4) The fourth option is z multiplied by itself 6 times, which is z to the power of 6 or z⁶.
5) The fifth option is z divided by 1/6, which is [tex]\frac{z}{6}[/tex].
I hope this helps! Have a blessed day!
Find the sum of 1/3x and 2/5x
Answer:
The sum of 1/3x and 2/5x will be:
[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]
Step-by-step explanation:
Finding the sum of 1/3x and 2/5x.
i.e.
[tex]\frac{1}{3}x+\frac{2}{5}x[/tex]
Factor out common term x
[tex]\frac{1}{3}x+\frac{2}{5}x=x\left(\frac{1}{3}+\frac{2}{5}\right)[/tex]
as
[tex]\frac{1}{3}+\frac{2}{5}=\frac{5+6}{15}=\frac{11}{15}[/tex]
so the expression becomes
[tex]=\frac{11}{15}x[/tex]
Therefore, the sum of 1/3x and 2/5x will be:
[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]
find the equation of the straigt line
if you are correct then ill give you brainliest answer!
Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]
Putting all given values, we get :
[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]
Therefore, the equation of line is y - x = 6 .
I need help on this im stuck
number 15: is 75
number 16: is 56
Step-by-step explanation: 7+8(14−6)+4
=75
2(52)+(2)(3)
=56
Answer for question 15 is 75. Answer for question 16 is 103
Step-by-step explanation:
Follow Pemdas
x + 13y + 8y
fastfastfastfast
Answer:
x+21y
Step-by-step explanation:
x+3y+8y
Group like terms
x+(3y+8y)
QUICKK
Solve systems by substitution Find the solution
SHOW ALL WORK
Y = 2
3x + 4y = 20
( , )
Kenny is ordering uniforms for both the girls’ and boys’ tennis clubs. He is ordering shirts for 43 players and two coaches at a total cost of $658.35. Additionally, he is ordering visors for each player at a total cost of $368.51. How much will each player pay for the shirt and visor?
16 points!!
Will Give Brainliest
Simple answer
Need b4 10:00
Thanks!
Answer:
$22.82. Explanation: There are 45 total shirts and visors needed, for the 43 players and 2 coaches. So divide each of the total costs by 45 , to see how much each individual person pays:
SHIRT:
658.38/45 =$14.63 per person
VISTOR:
368.51/45 =$8.19per person
Each person is buying a shirt and a visor, so combine these two prices:
14.63+8.19=$22.82per person.
Someone PLS HELP BRAINLIEST....The length of a rectangle is 3m more than twice the width, and the area of the rectangle is 35m^2 . Find the dimensions of the rectangle.
Length:
Width:
Let width of the rectangle be x.
Therefore ,Length= 3 + 2x
Area= 35
(3+2x)* x =35
3x + 2x^2 - 35 = 0
(2x-7)(x+5)
Therefore x=3.5
Length is 10 and Width is 3.5
Answer:
Area = length × width
90 = (3+2w) × w
w(2w + 3) = 90
2w² +3w = 90
2(w² +3/2w) = 90
Divide both sides by 2
2(w² +3/2w)/2 = 90/2
w² + 3/2w = 45
w² + 3/2w + (3/2•2)² = 45 + (3/2•2)²
w² + 3/2w + (3/4)² = 45 + (3/4)²
w² + 3/2w + 9/16 = 45 + 9/16
(w + 3/4)² = 729/16
Take the square root of both sides
√(w + 3/4)² = √729/16
w + 3/4 = 27/4
w + 3/4 -3/4 = ±27/4 - 3/4
w = 27/4 - 3/4 w = -27/4 - 3/4
w = 6m w = -7.5m
Area = length × width
90 = l × 6m
when x = 6m when x = -7.5 m
l = 90 m²/6m l = 90 m²/-7.5m
l = 15 m l = -12m
We cannot have negative dimension so
A = 90m²
l = 15m
w = 6m
Step-by-step explanation:
Which of the following sentences is true? Use the number line to help you decide.
+
6.0
+
6.1
+
6.2
+
6.3
+
6.5
6.4
+
6.6
+
+
6.7
6.8
+
6.9
7.0
O 6.8 is greater than 6.6.
O
6.4 is less than 6.2.
O 6.4 is greater than 6.6.
O
6.3 is less than 6.0.
Answer:
A: 6.8 is greater than 6.6
Suppose the 4th term of an arithmetic sequence is 27, and the 8th term
is 59.
1. What are the first term and the common difference?
2. Write a function for the sequence.
Answer:
The first term is 3 and common difference is 8.
And
The formula for sequence is: [tex]a_n = -5+8n[/tex]
Function is: [tex]f(n) = f(n-1)+8[/tex]
Step-by-step explanation:
Given that
[tex]a_4 = 27\\a_8 = 59[/tex]
The general formula for arithmetic sequence is:
[tex]a_n = a+(n-1)d[/tex]
Here
a is the first term
n is the term number
and d is the common difference
for 4th term
[tex]a_4 = a+(4-1)d\\27 = a+3d\ \ \ Eqn\ 1[/tex]
For 8th term
[tex]59 = a+ (8-1)d\\59= a+7d\ \ \ \ \ Eqn\ 2[/tex]
subtracting equation 1 from equation 2
[tex]59-27 = a+7d-(a+3d)\\32 = a+7d-a-3d\\32 = 4d\\d =\frac{32}{4}\\d = 8[/tex]
Putting d = 8 in equation 1
[tex]a+3d = 27\\a+3(8) = 27\\a+24=27\\a = 27-24\\a = 3[/tex]
Now for the function
[tex]a_n = a+(n-1)d\\a_n = 3+(n-1)(8)\\a_n = 3 + 8n-8\\a_n = -5+8n[/tex]
The sequence can also be expressed as a function as:
[tex]f(n) = f(n-1) + 8[/tex]
Hence,
The first term is 3 and common difference is 8.
And
The formula for sequence is: [tex]a_n = -5+8n[/tex]
Function is: [tex]f(n) = f(n-1)+8[/tex]
How to evaluate -4+3/4 plzzzz!
Answer:
-13/4
Step-by-step explanation:
Look for the LCM of both which is 4. 4÷1 ×-4 which is -16
then 4 divided by 4 which is 1 then × 3 which is 3.
now (-16+3)/4 to have -13/4
What is the ratio 5to8
Answer:
5/8= .625
Step-by-step explanation:
Answer:
5:8
Step-by-step explanation:
N/A
Which of the following inequalities matches the graph?
graph of an inequality with a s
olid line through the points 0, negative 2 and 2, 1 with shading above the line
3x − 2y ≥ 4
3x − 4y ≤ 2
3x − 2y ≤ 4
The correct inequality is not listed.
Answer:
1
Step-by-step explanation:
answer
Question 7
Please help me out.
Correct answer will be marked brainlest.
Answer:
60 cm²
Step-by-step explanation:
The shaded area is calculated as
area of trapezium - area of white triangle
The area (A) of trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 12, b₁ = 14 and b₂ = 10 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 10) = 6 × 24 = 144 cm²
The area (A ) of the white triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 14 and h = 12
A = [tex]\frac{1}{2}[/tex] × 14 × 12 = 7 × 12 = 84 cm²
shaded area = 144 - 84 = 60 cm²
Describe how you would simplify and find the result of that simplification for the following expression? 9 ( 4t + 6) + 3t
Answer:
Hope these helps
Step-by-step explanation:
IS 14 On Monday, 23 patients made appointments with each doctor. However, 6 of the patients did not show up. How many patients visited the clinic on Monday?
Answer:
156!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Determine if the two triangles are congruent. If they are, state how you know.
hello! can someone tell me the answer for 4/5 x (- 5/7) please? ty <3
Answer:
0.8*x*(‑5)/7
Step-by-step explanation:on the qraph
What is the answer to m + 3 = -8
Answer:
m=-11
Step-by-step explanation:
All you have to do is subtract 3 from both sides and you get -11!
I hope this helps and have a great day!
Answer:
-11 is the answer.
Step-by-step explanation:
Identify whether the following
quadratic opens upward or downward
function.
y=-2x2 + 8x - 9
PLZ helppppppppppppppp
Answer:
x = ¹¹/c
Step-by-step explanation:
Since this is an equation, we move the 4 first and add it to 7, since we are multiplying the x with c when we move the c , and it becomes division.
PLEASE HELP ASAP THANK YOU
1. Find f(2) if f(x) = 2x + 1
Answer:
F(2)?
Step-by-step explanation:
Please help me on #23 please help me please and thank you
Answer:
a.
Step-by-step explanation:
-1230<-220