The quotient will be 102.
What is a quotient?
In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The number 8976 is called the numerator or dividend, and the number 88 is called the denominator or divisor.
The quotient of 8976 and 88, the ratio of 8976 and 88, as well as the fraction of 8976 and 88 all, mean (almost) the same:
8976 divided by 88, often written as 8976/88.
= 8976/88
= 102
Hence, the quotient will be 102.
To learn more about quotient, visit:
https://brainly.com/question/11418015
#SPJ1
Find the exact value of cos (11pi/8)
Thank you!! I will mark brainliest!!
The exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].
What is the exact value of trigonometric function?The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles.
What is trigonometric function?The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.
According to the given question.
We have a trigonometric function
[tex]cos(\frac{11\pi }{8} )[/tex]
We have to find the exact value of the above trigonometric function.
since,
[tex]\frac{11\pi }{8}[/tex] can be written as [tex](\pi +\frac{3}{8\pi } )[/tex]
[tex]\implies cos(\frac{11\pi }{8} ) = cos(\pi +\frac{3}{8}\pi )[/tex]
And we know that,
Cos(π + θ) = -cosθ
Because, π + θ lies in third quadrant and in third quadrat cos gives negative values.
Also,
[tex]cos\frac{\alpha }{2} = \pm\sqrt{\frac{1+cos\alpha }{2} }[/tex] ....(i)
Therefore,
[tex]cos(\pi +\frac{3}{8} \pi )[/tex]
[tex]= -cos(\frac{3}{8} \pi )[/tex]
[tex]= -cos(\frac{3}{2(4)} \pi )[/tex]
[tex]= -\sqrt{\frac{1+cos\frac{\pi }{4} }{2} }[/tex]
[tex]= -\sqrt{\frac{1+\frac{1}{\sqrt{2} } }{2} }[/tex]
[tex]= -\sqrt{\frac{1+\frac{\sqrt{2} }{2} }{2} }[/tex]
[tex]= -\sqrt{\frac{2+\sqrt{2} }{4} }[/tex]
Hence, the exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].
Thus, option A is correct.
Find out more information about exact value of trigonometric function here:
https://brainly.com/question/19552534
#SPJ2
85% of x is 51. Write an equation that represents the situation.
Answer:
85/100*x=51
Step-by-step explanation:
85x=5100
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
c is the anser
Step-by-step explanation:
Please help me i will give you 50 points if you do
Answer:
6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .
24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .
(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .
Step-by-step explanation:
Hope it was helpful dear , good luck ^^
what is solution to 8x=2/3
there should be a cross multiplication
3(8x)=2
expanding bracket
24x=2
multiple both sides by 24
x=1/12
15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?
Answer:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
At a furniture store, the employees earn a 2.5% commission on every sale they make. If Ginny made $8850 in sales one week, how much did she earn in commission?
help please :( 100 points
Answer:
She earned 221.25 in commission
Step-by-step explanation:
2.5% of 8850 is 221.25
Which choice includes all of the solutions to 2x2 + x – 3 = 0 by factoring
A. 1
B. 3, –1/2
C. –1, 3/2
D. 1, –3/2
Answer:either c or b
Step-by-step explanation: to be honest I searched up
The solution of Equation 2x² + x -3 =0 by factoring is 1 and -3/2.
What is Factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
We have the equation 2x² + x -3 =0
Now, factorizing the above equation using splitting the middle term we get
2x² + x -3 =0
2x² + 3x - 2x -3 =0
x( 2x + 3) - (2x+ 3)= 0
(2x + 3)(x - 1)= 0
x = -3/2 or 1.
Learn more about Factorization here:
https://brainly.com/question/14026649
#SPJ7
can someone pls help me
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
help please it needs to be don by 4:00
Ellie puts 35 quarter into stacks with the same number of quarter in each stack
Answer:
Ellie can make eight stacks of quarters with four quarters in each stack
Step-by-step explanation:
What is the correct equation for this phrase?
Nine less than twice a number.
Answer:
[tex]2k - 9[/tex]
Step-by-step explanation:
jsjsjsjsjjsjsksksksksksksksksksjskkwjwjwjwkw
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
Pricilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost
$8.39 how much does Priscilla sell each scarf for?
This angle cuts out 1/4 of the circle. Find the measure of the angle.
Answer:
90 degrees
Step-by-step explanation:
can someone help me pls?
Determine if the triangle is a right triangle.
Answer:
Yes, this is a right triangle
Step-by-step explanation:
a² + b² = c²
65² + 72² = 97²
4225 + 5184 = 9409
9409 = 9409
Since the hypotenuse equals the 2 legs, it's a right triangle
1. Write an integer that can
represent 200 years ago?
Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer:
Mixed number: [tex]2\frac{83}{100}[/tex]
Improper Fraction: [tex]\frac{283}{100}[/tex]
Answer:
[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]
Step-by-step explanation:
2.83/1
To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.
238/100
This can be shown as a mixed number by removing the 200 which is divisible by 100
[tex]2 \frac{38}{100}[/tex]
Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified
There are 400 thousand people living in Miami and 300 thousand people living in Anchorage. Which statement below shows which city has more people living in it? - 400 thousand people > 300 thousand people, so there are more people living in Miami. 400 thousand people < 300 thousand people, so there are more people living in Miami. 400 thousand people > 300 thousand people, so there are more people living in Anchorage. 400 thousand people < 300 thousand people, so there are more people living in Anchorage.
Answer:
Your answer is A <3
Step-by-step explanation:
Answer:
400 thousand people > 300 thousand people, so there are more people living in Miami.
Which of the numbers given
are rational?
Select all that apply:
8.634092...
6.28232
7144
1.465359...
32.71481
Answer:
7144
Step-by-step explanation:
Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?
Giving brainly to the correct answer!
Answer: A
Step-by-step explanation:
Well four weels in every car so it’s 4 times cars (a)
4 times A=W
Step-by-step explanation: im smart also if u do multiply it by a by 4 it equals W
Find the surface area of the prism. 3m, 4m, 8m,5m
Step-by-step explanation:
480 is the answer // provide picture for better answer
42 - 5z + 3(x + y), when x=4, y=9, z=7
Answer:91
Step-by-step explanation: 42 - 5(7) (4+9)
5*7=35
42-35= 7
(4+9)=13
7(13)= 91
The value of expression,42 - 5z + 3(x + y) at x=4, y=9, z=7 will be 46.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.
It is given that the expression is,42 - 5z + 3(x + y)
We have to find the value of the expression at x=4, y=9, and z=7.
The value of the expression is obtained by putting the values,
=42 - 5z + 3(x + y)
=42-5(7)+3(4+9)
=42-35+3(13)
=42-35+39
=46
Thus, the value of the expression will be 46.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
what is the slope of the line shown?
Find the area of the equilateral triangle to the nearest hundredth, given the radius.
9514 1404 393
Answer:
20.78 square units
Step-by-step explanation:
The area of a regular polygon of radius r and number of sides n is given by ...
A = (n/2)r²sin(360°/n)
For this regular 3-gon of radius 4, the area is ...
A = (3/2)(4²)sin(360°/3) = 24(√3/2) = 12√3 . . . square units
The area is about 20.78 square units.
HELP (for the first select answer its “yes” or “no”)
Answer:
No, the sample is too small compared to the size of the shipment.
Step-by-step explanation:
What is the answer please help no links I will report
Answer:
6
Step-by-step explanation:
because its the middle number
help with math!!
Find the volume of each right rectangular prism
Answer:
7: 7.75 8: 6.98
Step-by-step explanation: