Answers
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
Related Questions
The temperature in an oven changes from 350 degrees to 362 degree. What is the percent increase in temperature, to the nearest tenth of a percent?
Answers
Answer:
3.4%
Step-by-step explanation:
Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:
((362 - 350) / 350) x 100
(12 / 350) x 100
= approximately 3.4
So, the percent increase in temperature was approximately 3.4%
n divided by 8, then subtract 3 from the quotient
Answers
Answer:
[tex]\frac{n}{8} -3[/tex]
Step-by-step explanation:
n, a number is being divided by 8, and then 3 is being subtracted from the quotient.
How many square feet of paint will be needed to cover the shed, not including the roof?
4 ft
6 it
41
6 ft
8017
Ob
44
6011?
Od
92
Answers
Answer:
80 ft^2 of paint would be needed
Step-by-step explanation:
Since we do not consider the roof, all we need do is to calculate the area of the shape without the roof side
So without the roof, we have 4 rectangles
we have 4 ft by 4 ft on both sides
Then 6 ft by 4 ft on the other two sides
mathematically, the area of a rectangle is the product of its sides
so, we have the total area as;
2(6 * 4) + 2(4 * 4)
= 2(24) + 2(16)
= 48 + 32
= 80 ft^2
Rooms in a hotel are numbered from 1 to 19.
Rooms are allocated at random as guests arrive.
(a) What is the probability that the first guest to arrive is given a room which is a prime number?
(1 is not a prime number.)
(b) The first guest to arrive is given a room which is a prime number.
What is the probability that the second guest to arrive is given a room which is a prime number?
Answers
Answer:
a) 8/19 chance
b) 7/19 chance (I'm not 100% sure)
Step-by-step explanation:
A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19
Membership in a digital library has a $5 startup fee and then costs $9.95 per month. Membership in a video streaming service costs $7.99 per monrh with no startup fee. Use vocabulary words to explain how this information could be used to write an expression for the total cost of both memberships after m months
Answers
Answer:
Wait ima ask my mom to help you with this.
Step-by-step explanation:
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
Answers
What inspires you to make you accomplish your dream job/career
I'm not trying to be nosy just a question hopefully a kind and respectful one
I will give brainest to both ppl who answer and go on there profile and thank them
Answers
Answer:
i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal. Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.
Solve the inequality: -8x+50<90
Answers
Answer:
x > -5
Step-by-step explanation:
Consider points A(-4,3) and B(-1, 2) use the criterion for perpendicular to find the equation of the line that passes through A and is perpendicular to AB
Answers
Answer:
N/A NO DIAGRAM
N/A NO DIAGRAM
Step-by-step explanation:
N/A NO DIAGRAM
N/A NO DIAGRAM
What is the slope of the line that passes through the points (3, 8) and (8,13)? Write your answer in simplest form.
Answers
Answer:
1
Step-by-step explanation:
In which number is the digit 2 one hundred times larger than it is in the number 524
Answers
Answer: 2,504?
Step-by-step explanation: baccically times the 2 only by 100, or at least that’s what I am seeing. LOL
Any number which has digit 2 at its thousandth place will have the digit 2 one hundred times larger than it is in the number 524
What is place value?Place value is the value of each digit in a number.
For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.
It is important that while a digit can be the same, its value depends on where it is in the number.
Given that, we need to determine that which number is the digit 2 one hundred times larger than it is in the number 524,
So, if we consider a number having 2 at its thousandths place,
For example : 32000, the place value of 2 is 2000,
In the number 524, the place value of 2 is 20,
Now, 2000/20 = 100
So, here we see that, the digit 2 in 32000 is 100 times larger than the digit 2 in 524
Hence, any number which has digit 2 at its thousandth place will have the digit 2 one hundred times larger than it is in the number 524
Learn more about place values, click;
https://brainly.com/question/27734142
#SPJ2
En una tienda de ropa vas a comprarte una pantalones que están de 150 a 90 euros y una camiseta de 40 a 24 ¿ tienen el mismo porcentaje de rebaja ?
Answers
Respuesta:
Sí, tienen el mismo descuento del 40%
Explicación paso a paso:
Dado :
PANTALÓN :
Precio inicial = 150
Precio con descuento = 90
Porcentaje de descuento en el precio:
(150 - 90) / 150 * 100%
60/150 * 100%
0,4 * 100
= 40%
CAMISA:
Precio inicial = 40
Precio con descuento = 24
Porcentaje de descuento en el precio:
(40-24) / 150 * 100%
16/40 * 100%
0,4 * 100
= 40%
Sí, tienen el mismo descuento del 40%
8 1/4 divided by 3/4
Answers
answer:
11
step-by-step explanation:
first, let us turn 8 1/4 and 3/4 into decimals-
1÷4
= 0.25
3÷4
= 0.75
8.25÷0.75
=11
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
7. Jack bought a used car for $4,555. He made a
down payment of $1,500 for the car, and he will
pay the remaining balance in 10 equal payments.
How much will Jack still owe on the car after he
makes seven payments?
Record your answer and fill in the bubbles. Be sure
to use the correct place value.
Answers
Answer:
916.50
Step-by-step explanation:
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
Answers
15 points plisss the answer correct
Answers
18 = B (192)
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET
Answers
Answer:
False
Step-by-step explanation:
What is the probability of rolling a 20-sided number cube to a number that is prime or a multiple of 3?
Answers
Answer:
Probability of rolling a prime or multiple of 3 = 13/20
Probability of rolling a prime = 2/5
Probability of rolling a multiple of 3 = 3/10
Step-by-step explanation:
let's list primes and multiples of 3 from 1 to 20
Primes:
2 3 5 7 11 13 17 19
Multiples of 3:
3 6 9 12 15 18
Primes OR multiples of 3
2 3 5 6 7 9 11 12 13 15 17 18 19
There's 13 of them, so the probability of rolling a prime or multiple of 3 is 13/20
Probability of rolling a multiple of 3 is 6/20 = 3/10
Probability of rolling a prime is 8/20 = 2/5
Answer:
0.6 or [tex]\frac{12}{20}[/tex] or [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Here are the multiples of 3 (that are 20 or below) :
369121518Here are the prime numbers (that are 20 or below):
235711131719Some numbers are repeated in the two lists.
Here are all the numbers:
23567911121315181912 numbers are prime or a multiple of 3.
As a fraction it will be [tex]\frac{12}{20}[/tex], or simplified to [tex]\frac{3}{5}[/tex]
As a decimal it will be 0.6
I hope it helped!
please help ill mark brainliest
Answers
Answer:
I think it's net one because it seems the most like it
2х - 7y = 14
Find the x and y- intercepts then graph them.
Answers
Medjjf
Which statements about special quadrilaterals are true? Select all that apply.
An isosceles trapezoid can be broken into a rectangle and two triangles.
The area of a kite can be found by multiplying the length times the width.
After breaking a kite into two triangles of the same size and shape, find the height of the triangles by dividing the width by 2.
A kite can be broken into two triangles or a rectangle and a triangle.
A trapezoid is a quadrilateral with two pairs of parallel opposite sides.
Answers
Answer:
A and C
Step-by-step explanation:
I just answered the question.
Answer:
A and C
Step-by-step explanation:
Trust me
4) How much interest does a $276 investment earn at 9% over seven
years?"
2
Answers
Answer: 24.84
Step-by-step explanation: 276%of 9 is 24.84
Which is the most appropriate data display for the distance a person drives each month.
Answers
Answer:
How many miles that person has driven that day
Step-by-step explanation:
– 6 (2x – 3) – 11
A: 12x 29
B:
7 12x
C:
12x 7
D:
7 12x
E: None of these
Answers
Answer:
12x + 7 is the answer
Step-by-step explanation:
help needed! please and thank uuu! no links please!
Answers
Answer:
(2x×3x)+(3x×-3)
Area=L×W
Blue rectangle = 2x×3x
Pink rectangle = 3x×-3
(2x×3x)+(3x×-3)
What is 562,148,900 in expanded form
Answers
Answer:
562,148,900 =
500,000,000
+ 60,000,000
+ 2,000,000
+ 100,000
+ 40,000
+ 8,000
+ 900
+ 0
+ 0
Answer:
Hello!
First we need to understand what expanded form is!
Expanded form is a way of writing a number to see the value of each digit. An example is:
111
100 + 10 + 1 = 111
So we must find the value of 562,148,900, in expanded form.
First we would find the first digit, and separate it from the other digits.
5
Then, we would count the digits behind that, and add it to the right of the five, in the form of zeroes.
500,000,000
We would continue this process for each digit, and then we would put them in addition form.
Your final answer would be,
500,000,000
60,000,000 +
2,000,000 +
100,000 +
40,000 +
8,000 +
900 +
0 +
0 +
__________________________
562,148,900
waffletowne
como faz a conta pfv, Calcule o valor da expressão: [2 + 3 x 4] ÷ 7 + 7.
Answers
Answer:
9 is Your answer. You can follow me to get more answer. Thanks.
Someone help me pls thanks :)
Answers
Answer:
I think you need to add them.
Answer:
0.24
Step-by-step explanation:
Miles he drives: x
55.96+0.12x=49.96+0.16x
0.04x=6
x=0.24mi
Allen went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Antonio went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one jumbo popcorn and one chocolate chip cookie cost
Answers
Answer:
cookie=0.5, popcorn=4
Step-by-step explanation:
1x+2y=5
1x+4y=6
cookie cost 0.5
popcorn cost 4
Someone help pleaseUpperbound