Answer:
(√2+1 )(√2+3 )
(√2×√2)+(√2×3)+(1×√2)+(1×3)
2+3√2+√2+3 = 5+4√2
=5+4√2
in need of help please :)
Answer:
okay let's start
Step-by-step explanation:
[tex]number \: 1 \\ cos \: b = \frac{adjacent}{hypotenuse} \\ cos \: b = \frac{ac}{cb} \\ \: \ cos \: b = \frac{12}{13} \\ [/tex]
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0)?
Answer:
[tex]\displaystyle \frac{x^2}{12}-\frac{y^2}{24}=1[/tex]
Step-by-step explanation:
Since the directrices are vertical lines:
Use the hyperbola equation [tex]\displaystyle \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex] Foci are [tex](\pm c,0)[/tex][tex]a^2+b^2=c^2[/tex][tex]a[/tex] and [tex]b[/tex] are half the lengths of the tranverse and conjugate axes respectivelyDirectrices are located at the lines [tex]\displaystyle x=\pm\frac{a^2}{c}[/tex]We assume the center to be [tex](h,k)\rightarrow(0,0)[/tex]Since we already know our directrices are at the lines [tex]x=\pm2[/tex] and we know that [tex]c=\pm6[/tex] from our foci, we can solve for the value of [tex]a^2[/tex]:
[tex]x=\frac{a^2}{c}\\\\2=\frac{a^2}{6}\\\\12=a^2[/tex]
This allows us to solve for the value of [tex]b^2[/tex]:
[tex]a^2+b^2=c^2\\\\12+b^2=6^2\\\\12+b^2=36\\\\b^2=24[/tex]
Thus, our equation for the hyperbola is [tex]\displaystyle \frac{x^2}{12}-\frac{y^2}{24}=1[/tex].
There are 20 boys and 18 girls in a class find the percentage of {1} boys {2} girls, in the class
Answer:
1. 52.63% 2. 47.36%
Step-by-step explanation:
20 + 18 = 38 total people
20 divided by 38 = 0.5263 to 52.63%
18 divided by 38 = 0.4736 to 47.36%
Hope this helps!
Pls help! Due soon!!
Answer:
See below ~
Step-by-step explanation:
1. 3d + 2
2. John = Kelly - 6
3. y/4 - 3
4. Thomas = 2(Luis)
5. 8p + 6
6. x³ + 5
Sarah is going on a trip. she drives for 2 hours and 45 minutes, rests for 35 minutes and drives
for another 2 hours 50 minutes.
what is her total travel time in hours and minutes
Answer:
5 hours and 35 minutes
Step-by-step explanation:
If you add the 45 and 50 minutes, you get 95 minutes, but an hour is only 60 minutes. So you subtract 60 and you're left with 35 minutes. You add the new hour onto the other 4 hours and you get 5 hours total.
Answer: 5 hours and 35 minutes
Step-by-step explanation: 2 + 2 = 4 45 + 50 = 95 95- 60 = 35
5х + 15 + 3xy +9y factor it
Answer:
(5+3y) (x+3)
first of all you bracket by (5x+15)(3xy+9y). and you start fact as follows by 5(x+3y) 3y(x+3)after here you take (5+3y) (x+3)
Answer:
(x+3)+(5+3y)
Step-by-step explanation: In the equation, when you have four terms you group like terms. So 5x+15 by itself and work it out which you will get 5(x+3) and do the same for 3xy+9y answer is 3y(x+3).
Then you will say 5(x+3)+3y(x+3) and then you'll
5(x+3)/(x+3)=5 because you will cancel the (x+3) so the answer would be 5
You will do the same for 3y(x+3)/(x+3)
you will get 3y
Finally, you will take the first equation which is (x+3), and then you'll use the last equation which is (5+3y)
So that's how you will get (x+3)+(5+3y)
pls helppppp
Edward, Fred, and George share some money in the ratio 5:7:3.
George receives $237.
find the total amount of money that was shared
The concept of Ratios and shares.
let there be a common multiple 'x' for this ration, hence
5x + 7x + 3x = total money
here, 3x = $ 237
hence, x = $237/3 ==> $79
x = $ 79
hence now the total money that was shared =>
==> 5(79) + 7(79) + 3(79)
==> 395 + 553 + 237
==> $ 1185
The total money shared was $ 1185
There is a pair of parallel sides in the following shape.
9. 5. 3
Answer:
area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad
equation that shows 3 less than the product of 4 and m
The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3
How to determine the equation?The product of 4 and m is represented as:
4 * m
Evaluate
4 * m = 4m
3 less than this product is represented as:
4 * m - 3 = 4m - 3
Let the result of the equation be represented with y.
So, we have:
y = 4m - 3
Hence, the equation that shows the statement is y = 4m - 3
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? Sharks Moose Total Students 90 10 100 CARNE Teachers 5 10 15 Total 95 20 115 A. "Moose" is equally popular with students and teachers. B. There is no difference between the preferences of students and teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. ch D. "Shark" is more popular with students, but "moose" is more popular with teachers.
“Shark” is more popular with students, but “Moose” is more popular with teachers. Then the correct option is D.
How to find the relative frequency?Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.
This table shows the results.
Sharks Moose Total
Students 90 10 100
Teachers 5 10 15
Total 95 20 115
Then the correct situation will be
“Shark” is more popular with students, but “Moose” is more popular with teachers.
Then the correct option is D.
Learn more about conditional relative frequency here:
https://brainly.com/question/8358304
#SPJ1
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team.
Which expression represents the probability that both students chosen are sophomores?
I think the answer is B<==
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is B.
What are Permutation and Combination?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
The probability that both students have chosen are sophomores is,
(6/20) × (5/19) = 30/380
Similarly, The expression that represents the probability that both students have chosen are sophomores is,
(⁶P₁ × ⁵P₁)/(²⁰P₂) = 30/380
Hence, the correct option is B.
Learn more about Permutation and Combination:
https://brainly.com/question/11732255
#SPJ1
A wheel on Aldo's bicycle is 0.3m in diameter. Aldo rides the bicycle in a race, and the wheel turns 45 times during the course of the race. How long is the race?
Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
42.39m Please round it to nearest tenth.I haven't rounded it
Please help with the 3 equations and tell me how to write it in a number line please! Will be marked brainliest if the answer makes sense!
number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps
Step-by-step explanation:
.....Can someone help me?
Answer:
A (the one you already have selected!)
Step-by-step explanation:
the vertical asymptotes: x = pi / 2
Vertical shift: - 2
Phase shift and period: pi to the right
what is the length of side x,y, and z
Answer:
X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10
Step-by-step explanation:
using Pythagoras' identity in all 3 right triangles
X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )
X = [tex]\sqrt{2}[/tex]
middle triangle
Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3
triangle on right
Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10
[6m² x 6n² ÷ 9mn ÷ 2m]² ??
I need to simplify this expression
please help with working out so I can understand. Thanks!
Answer:
4n^2.
Step-by-step explanation:
Working from left to right in the square parentheses:-
[6m² x 6n² ÷ 9mn ÷ 2m]²
= [(36m^2n^2 / 9mn) / 2m]^2
= (4mn / 2m)^2
= (2n)^2
= 4n^2.
[6m² x 6n² ÷ 9mn ÷ 2m]²
to find:the simplest form.
solution:[tex] (\frac{6 {m}^{2} \times (6 {n}^{2} ) \div 9mn {}^{} }{2m} ) {}^{2} [/tex]
[tex] = \binom{ \frac{2 {m}^{2} \times (6 {n}^{2}) }{3mn} }{2m} {}^{2} [/tex]
[tex] = \binom{ \frac{2m \times (2 {n}^{2}) }{n} }{2m} {}^{2} [/tex]
[tex] = ( \frac{m \times (2n)}{m} ) {}^{2} [/tex]
[tex] = (2n {)}^{2} [/tex]
[tex] = 4 {n}^{2} [/tex]
It's seventh grade social studies the question is written thanks!!
Answer:
Slavery caused the Civil War because colored people were being treated unfairly by the South and the North didn't like that. States rights is when a state abides by its own rules. Missouri was allowed to enter the Union as a slave state. California had to decide if they were going to be a slave state or a free state.
Step-by-step explanation:
Slavery was the root of the Civil War in the United States. Following the election of Republican and abolitionist Abraham Lincoln in 1861, southern governments grew fearful of his political beliefs. His victory sparked heated debate in the slave-dependent southern states. Because of the incoming president's future activities, states were planning to secede. These republics were heavily reliant on agriculture, therefore ending slavery would be disastrous. After Lincoln rejected their judgment, the Union and Confederacy declared war on one other. The Confederacy battled and killed to keep slavery alive, but the union won four years later. Abraham Lincoln fought for black people's freedom and human rights while simultaneously fighting to keep the Unified States united. This battle not only ended slavery, but it also brought the states together and preserved a strong country developing together.In the 1860 presidential election, Abraham Lincoln campaigned for president and won, becoming the first republican candidate to do so. His election, on the other hand, brought terrible news to the southern states, which were heavily reliant on agricultural and used slavery to increase revenues. "By and large," according to the book America Past and Present, "By and large, by and large, by and large, by and The civil war began in April 1861, when Southern states attempted to secede from the nation after Abraham Lincoln's election, and concluded in 1865, when the northerners (the Union) triumphed. However, the most crucial reason for the outbreak of the war was that Republican Abraham Lincoln won the election of 1860, and his views on slavery were diametrically opposed to those of the southerners. His election sparked such outrage in the southern states that the possibility of going to war to avoid being linked with his political ideals was floated.
What is the value of x?
X
35
85
Write your answer in the box.
Answer:
-15
Step-by-step explanation:
since there's a difference of 50 between 35 and 85, there'll be a difference of 50 between X and 35 too.
The sum of the digits of a two - digit number is 15. if the the digits were reversed , the number increases by 9 . Find the number .
Stay away if u don't know the ans.
Well explained ans needed :)
Answer:
78
Step-by-step explanation:
Let the two-digit number have the digits a and b.
It mentions that they add up to 15.
Then the possible numbers are :
69 (6 + 9 = 15)78 (7 + 8 = 15)=============================================================
Let's reverse the numbers :
69
69 ⇔ 9696 - 69 = 27Not the right number ×78
78 ⇔ 8787 - 78 = 9This is correct √=============================================================
Solution :
Hence, the number needed is 78
Step-by-step explanation:
no. 10y+x
no. formed by reversing the digits = 10x+ y
ATQ
EQ(1)= x+y=15
EQ (2)=10x+y+9=10y +x ( Digits are reversed)
9x-9y=-9
x-y=-1
x+y=15 ( given)
2x=14,x=7
and y=15–7=8
thus the number=78
A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value
printing press in seven years? Round your answer to the nearest whole dollar.
A. Growth or Decay
B. Equation:
C. Answer:
Answer:
1230000
Step-by-step explanation:
this is because of growth and inflation and deflation
12% of 120,000 = 14400
14400x7 = 100800
120,000 - 100800 = 19200
A:DECAY
Volleyball players are randomly placed on teams by spinning a spinner with four congruent, colored sections. They are assigned positions on the team by rolling a six-sided die. The team colors are red, black, green, and purple.
What is the conditional probability of rolling a 5 given that the spinner landed on black?
A. 1/6
B. 1/24
C. 2/5
D. 1/4
Select the best description for the sum of the expression below.
√10 + √26
A. rational
B. neither rational nor irrational
C. both rational and irrational
D. irrational
Answer:
D.irrational
Step-by-step explanation:
√10 +√26= 8.261279174
is has decimal at the end therefore it is irrational
What is the mode?
9 4 6 3 9 3 10 4 6 4
Answer:
4
Explanation:
The mode is what number occurs most often
The mode for this question is 4
Mode
In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.
To find the mode of a set of numbers,
List the set of numbers in ascending or descending order, including any duplicatesCount the number of times each number in the set of numbers occurs. The number that occurs the highest number of times is the mode of the set of dataNEED QUESTION QUICK Franco’s gross weekly earnings are $895. The federal income tax withheld is $78.25. The state tax deduction is $9.15. He also contributes 4.5% of his weekly earnings to a health savings account. What are his net earnings?
Answer:
$771 is your answer rounded
Step-by-step explanation:
771.258
Answer:
895+ 78.25 + 9.12 + 4.5 will equal 986.87 just add all the numberes together and you will get 986.87
Step-by-step explanation:
so therefor your answer will be 986.87 but if you round it to the nearest hundred it would be a thousand
Use the numbers in the multiplication
equation 28 x 1/7= 4 to write a division
equation involving division by a fraction.
Changing the multiplication sign to a division sign, we will have 28 ÷ 7
Multiplication and division ruleGiven the product of 28 and 1/7, we are to write a division equation involving division by a fraction.
Given
28 * 1/7 = 4
Changing the multiplication sign to a division sign, we will have:
28 * 1/7 = 28/7
This can also be written as 28 ÷ 7
Learn more on division and product here: https://brainly.com/question/22354874
#SPJ1
Using slope, tell whether each pair of
lines is parallel, perpendicular, or
neither:
First set is parallel - same gradient
Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.
Hope this helps!
What line is perpendicular to y−7=4/5(x+3)?
A. y= −5/4x+1
B. y= 5/4x+1
C. y= 4/5x+1
D. y= −4/5x+1
Answer: The correct answer would be C. y= 4/5x+1
Step-by-step explanation:
[tex]y-intercept=\frac{47}{5}[/tex]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-7-(4/5*(x+3))=0
STEP
1
:
4
Simplify —
5
Equation at the end of step
1
:
4
(y - 7) - (— • (x + 3)) = 0
5
STEP
2
:
Equation at the end of step 2
4 • (x + 3)
(y - 7) - ——————————— = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
y - 7 (y - 7) • 5
y - 7 = ————— = ———————————
1 5
Equivalent fraction: The fraction thus generated looks different but has the same value as the whole
Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(y-7) • 5 - (4 • (x+3)) 5y - 4x - 47
——————————————————————— = ————————————
5 5
Equation at the end of step
3
:
5y - 4x - 47
———————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, I multiply both sides of the equation by the denominator.
Here's how:
5y-4x-47
———————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
5y-4x-47 = 0
Equation of a Straight Line
4.2 Solve 5y-4x-47 = 0
CalderonJ recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx + b" is the formula of a straight line drawn on a Cartesian coordinate system in which "y" is the vertical axis and "x" is the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5y-4x-47 = 0 and calculate its properties
Notice that when x = 0 the value of y is 47/5 so this line "cuts" the y axis at y= 9.40000
y-intercept = 47/5 = 9.40000
Calculate the X-Intercept :
When y = 0 the value of x is 47/-4 Our line therefore "cuts" the x axis at x=-11.75000
x-intercept = 47/-4 = -11.75000
Calculate the Slope :
The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 9.400 and for x=2.000, the value of y is 11.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 11.000 - 9.400 = 1.600 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.600/2.000 = 0.800
what is the length of the leg in a 45-45-90 triangle with a hypotenuse of 1?
Answer:
√2 / 2
Step-by-step explanation:
In a 45-45-90 triangle, the length of a leg is equal to the hypotenuse / √2
Therefore, the length of a leg is 1 / √2
Rationalize by multiplying the numerator and denominator by √2, and this becomes √2 / 2
Amy buys a tablet case for $10.50 plus a 6% tax and Joanne buys a phone charger for $8 with a 6% sales tax. Enter the sum, in dollars, that Amy and Joanne paid, including tax.
Answer: 19.61$
Step-by-step explanation:
6% = .06
10.5 x .06
.63
10.5 + .63
11.13$
8 x 0.06
.48
8 + .48
8.48$
8.48 + 11.13
19.61$
Which expression is equal to (screenshot)
Answer:
D. 6x + 4 / x² + 5x
Step-by-step explanation:
Dividing a fraction is same as multiplying its inverse.
Therefore,
(3x + 2)/(4x) × 8/(x + 5)(3x + 2)/x × 2/(x + 5)2(3x + 2)/x(x + 5)6x + 4 / x² + 5xOption DAnswer:
[tex]\textsf{D.} \quad \dfrac{6x+4}{x^2+5}[/tex]
Step-by-step explanation:
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:
[tex]\begin{aligned}\left(\dfrac{3x+2}{4x}\right) \div \left(\dfrac{x+5}{8}\right) & =\left(\dfrac{3x+2}{4x}\right) \times \left(\dfrac{8}{x+5}\right)\\\\& = \dfrac{(3x+2) \times 8}{4x \times (x+5)}\\\\& = \dfrac{8(3x+2)}{4x(x+5)}\\\\& = \dfrac{2(3x+2)}{x(x+5)}\\\\& = \dfrac{6x+4}{x^2+5}\\\end{aligned}[/tex]
