Answer:
19 1/2
Step-by-step explanation:
4 1/3 = 13/3
4 1/2 = 9/2
13/3 x 9/2
13/1 x 3/2 ( 3 goes into nine so i simplified)
13 x 3/1 x 2 = 39/2 = 19 1/2
Given that sin x = 3/4
where x is an obtuse angle, find the exact value of cos x.
Answer:
Step-by-step explanation:
sin x =3/4
x is an obtuse angle and sin x is positive .
∴ x lies in 2nd quadrant.
Hence cos x is negative.
[tex]cos x=-\sqrt{1-sin^2x} =-\sqrt{1-(3/4)^2} =-\sqrt{1-\frac{9}{16} } =-\sqrt{\frac{7}{16} } =-\frac{\sqrt{7} }{4}[/tex]
Solving a trigonometric equation, it is found that:
[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]
The sine and the cosine of an angle x are related by the following equation:
[tex]\sin^2{x} + \cos^2{x} = 1[/tex]
In this problem:
x is an obtuse angle, which means that it is the second quadrant, in which the sine is positive and the cosine is negative.[tex]\sin{x} = \frac{3}{4}[/tex], thus:
[tex]\sin^2{x} + \cos^2{x} = 1[/tex]
[tex](\frac{3}{4})^2 + \cos^2{x} = 1[/tex]
[tex]\frac{9}{16} + \cos^2{x} = 1[/tex]
[tex]\cos^2{x} = 1 - \frac{9}{16}[/tex]
[tex]\cos^2{x} = \frac{7}{16}[/tex]
[tex]\cos{x} = \pm \sqrt{\frac{7}{16}}[/tex]
Since the cosine is negative.
[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]
A similar problem is given at https://brainly.com/question/24680641
Help on this please
Answer:
99% sure its D
Step-by-step explanation:
Select all ratios that are in their simplest form.
4:24 28:15 3:13 18:30 12:14
Answer:
1. 28:15
2. 3:13
Step-by-step explanation:
The ratios above have no common factor.
4:24 .
Common factor : 4
18:30
Common factor : 6
12:14
Common factor : 2
Answer:
28:15
3:13
Step-by-step explanation:
The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.
Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.
The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 80I I2 + I + 9 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
Answer:
At ; I = 3, P is at maximum
Step-by-step explanation:
P ( I ) = [tex][ \frac{80 I}{I^2 + I + g } ][/tex]
at I = 3
P" ( I ) < 0
therefore at I = 3 the value of P( I ) is at maximum
attached below is the detailed solution
what are you doing right now?
Answer:
Nun u
Step-by-step explanation:
DOING YA MOM
Just kidding, I am eating Chicken Pot Pie while working on my day off (:
Consider the inequality -20.2 > 0y. Which of the following must be true?
Check all that apply.
____________________________________________________________
A) You cannot divide by zero.
B) The inequality is equivalent to -20.2 > 0, which is false.
C) The solution is y > 0.
D) The solution is 0 > y.
E) The solution is y = 0.
____________________________________________________________
Answer:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Quincy spends of his pocket money on snacks to keep in his locker. Write the fraction in decimal form.
The decimal equivalent of is .
Step-by-step explanation:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Quincy spends of his pocket money on snacks to keep in his locker. Write the fraction in decimal form.
The decimal equivalent of is .
Answer i took the quiz
the answers r
1
2
The sum of three number is 126. The third number is 4 times the second. The second number is 6 less than the first. What are the numbers?
Step-by-step explanation:
ASK

ALGEBRA II
Ingrid H.
asked • 04/02/20
The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?
The sum of three numbers is 126
. The third number is 3
times the first. The second number is 6
more than the first. What are the numbers?
Follow1
Add comment
More
1 Expert Answer
By:Best
Newest Oldest

Mackenzie K. answered • 04/02/20
TUTOR
New to Wyzant
Math Tutor For All Grade Levels
SEE TUTORS LIKE THIS
Lets define a=1st number, b=2nd number, and c=3rd number
We know that a+b+c=126
We also know that the second number is 6 more than the first, so we can represent this as b=a+6
We also know that the third number is 3 times the first which can be represented as c=3a
We can plug these new values into our original equation and get:
a+(a+6)+(3a)=126
2a+6+3a=126 COMBINE LIKE TERMS
5a+6=126
5a=120
a=24
Our first number is 24.
Our second number is 6 more than our first number, so the second number is 24+6=30
Our third number is 3 times the first number, so the third number is 3(24)=72
We can check by plugging these numbers in for a, b, and c in our original equation
a+b+c=126
24+30=72=126
126=126
The numbers are 26, 20, and 80.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Three numbers:
First = a
Second = b
Third = c
Now,
a + b + c = 126 ____(1)
c = 4b ____(2)
b = a - 6 _____(3)
From (1), (2), and (3) we get,
a + (a - 6) + 4b = 126
a + a - 6 + 4b = 126
2a + 4b = 126 + 6
2a + 4b = 132
2a + 4(a - 6) = 132
2a + 4a - 24 = 132
6a = 132 + 24
6a = 156
a = 26
Now,
a = 26
b = a - 6 = 20
c = 4b = 4 x 20 = 80
Thus,
The numbers are 26, 20, and 80.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
1. 5 3/4+("-" 1/4)
2. "-" 2/3+1/6
3. "-" 8/5+("-" 3/4)
Answer:
BELOWStep-by-step explanation:
1.
[tex]5\frac{3}{4} +(-\frac{1}{4} )\\\\5\frac{3}{4}=\frac{5\times4+3}{4}=\frac{23}{4}\\\\\frac{23}{4} +(-\frac{1}{4} )\\\\=\frac{23}{4}-\frac{1}{4}\\\\=\frac{23-1}{4}\\\\=\frac{22}{4}\\\\=5\frac{1}{2}[/tex]
2.
[tex]-\frac{2}{3} +\frac{1}{6} \\\\L.C.M \:OF\:3,6\: =6\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=\frac{-3}{6}\\\\=-\frac{3}{6}\\\\=-\frac{1}{2}[/tex]
3.
[tex]-\frac{8}{5} +(-\frac{3}{4} )\\\\L.C.M \:OF\:5,4\: =20\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{32}{20}-\frac{15}{20}\\\\=\frac{-32-15}{20}\\\\=\frac{-47}{20}\\\\=-\frac{47}{20}\\\\=-2\frac{7}{20}[/tex]
5w - 4 > 11
Help please
Answer:
w > 3
Step-by-step explanation:
5w - 4 > 11
5w > 15
w > 3
I think the answer is w= 6 or more
Step-by-step explanation:
I think it's this bc if u do 5 times 6 equals 30 then minus 4 is 26. 26 or more is greater than 11
The points in the table lie on a line. Find the slope of the line.
Answer:
this is given by Rishabh 3456
Step-by-step explanation:
- X is and why is right answer6 - 2 and 2 6Please help me with this problem!
240THE ANSWER IS 240
What is 48,020,000 expressed in scientific notation?
A. 4.802 x 10^7
B. 0.48 x 10^-8
C. 0.4802 x 10^8
D. 4.802 x 10^8
Answer:
im pretty sure it is answer A. 4.802 x 10^7
Step-by-Step explanation
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 48,020,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 48,020,000
New Number: 4.8020000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 4 . 8 0 2 0 0 0 0
Decimal Count: 1 2 3 4 5 6 7
There are 7 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 4.802 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
4.802 x 107
Step 4
Check your work:
107 = 10,000,000 x 4.802 = 48,020,000
(0.1296)^3/4 of law of indices plz step by step
Answer:
[tex]\boxed {\frac{27}{125}}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex](0.1296)^{\frac{3}{4}}[/tex]
-Calculate [tex]0.1296[/tex] to the power of [tex]\frac{3}{4}[/tex]:
[tex](0.1296)^{\frac{3}{4}}[/tex]
[tex]\boxed {\frac{27}{125}}[/tex]
Therefore, the final answer is [tex]\frac{27}{125}[/tex].
If you use the distribution property on 2(4 - 3x), what is the result?
Answer:
8 - 6x
Step-by-step explanation:
2(4-3x)
multiply 2 to both 4 and -3x
8-6x
Answer:
-6x + 8 or 6x - 8 if you want to remove the negative sign in x
What is the solution to this system 2x + y = 1 3x – y = –6 (–1, 3)
Answer: 2x+y=1
3x-y=-6
==>5x=-5
==>x=-1 and y=1-2*(-1)=3
Sol={(-1,3)}
Answer A
Write an
equivalent expression by distributing the "-" sign outside the parentheses:
-(0.39 + 75 – 5)
Answer:
(-0.39 - 75 + 5)
Step-by-step explanation:
If you multiply a positive by a negative, it becomes a negative. If you multiply a negative by a negative, it becomes positive. Remember that, it will help you later on.
Answer:-70.39
Step-by-step explanation: im in college
What is the solution of the system of equations shown in the graph ?
A) (1,0) and (-3,0)
B) (0,-3) and (0,-1)
C)(-1, -2)
D) (-2,-1)
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answer:
4 weeks . ∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴∴
∆GHI is an isosceles triangle with a vertex angle H If the m∠H=80°, then find the m∠I.
Answer:
m∠I = 50 degrees
Step-by-step explanation:
Mathematically, the base angles of an isosceles triangle are equal
So in this case, since H is a vertex;
m∠I + m∠H + m∠G = 180
m∠I = m∠G = x
2x + 80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
Answer:
d is the answer on edge 2022
Step-by-step explanation:
Mrs. Roberts plants tomatoes and radishes in the areas shown in the model below.
A model with 7 rows of 5, representing 35 acres of tomatoes, and 7 rows of 4, representing 28 acres of radishes.
Which expression is equivalent to the sum of the two areas?
5 (7 + 4)
5 (7 + 7)
7 (5 + 4)
7 (4 + 7)
Answer: C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which ones measure to 92 degrees
Answer:
angles 4 7 and 6........
In square ABCD, m∠AED=(8x−6)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
12
Step-by-step explanation:
The angle equals 90 degrees so (8*12-6) would equal 90
Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Sides A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN
Answer:
the correct answer is A on edge
Step-by-step explanation:
Answer:
The answer above is correct!
Option A. BC < MN is the answer :)
Step-by-step explanation:
Here's a screenshot for proof - hope this helped :D
4. An acre is 43,560 square feet. How much would it cost to fence in a 4 acre rectangle of land at
$0.55 cents per foot?
Answer:
174,242.2
hope tis help
Step-by-step explanation:
Change 9.65kg into grams.
Answer:
9.65 kilograms = 9650 grams
Step-by-step explanation:
HELP PLEASE ! ASAP !
Answer: i think 23x
Step-by-step explanation: i might be incorrect
Answer:
23x + 250
Step-by-step explanation:
x representing the amount of jerseys and 250 representing the one time fee and the y intercept
PLEASE HELP I'LL GIVE YOU 23 POINTS
THERE IS A SCREEN SHOT BUT JUST IN CASE YOU CANT ACCESS IT I'LL ADD THIS!
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
45 degrees
Step-by-step explanation:
pretty sure
Answer:
x = 55
Step-by-step explanation:
to find angle BPR you would do:
180 - 120 = 60
so BPR is 60°
now to find x you do this:
65 + 60 + x = 180
125 + x = 180
x = 55
1) Noah ate all of his Takis for breakfast, but he forgot that he owed Jason 16
Takis. London gave Noah 27 Takis at lunch the next day. How many Takis
will Noah have in total after he give Jason the Takis?
Answer:
noah will have 11 takis
Step-by-step explanation:
The Hu family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $
Need help on Homework
Answer:
go to tiger algebra on google and type in question
Step-by-step explanation: