Answer:
[tex] \frac{1 - 2 \sqrt{x} + x }{1 - x} [/tex]
Step-by-step explanation:
[tex] \frac{1 - \sqrt{x} }{1 + \sqrt{x} } [/tex]
Rationalize the denominator by multiplying by it conjugate.
[tex] \frac{1 - \sqrt{x} }{1 + \sqrt{x} } \times \frac{1 - \sqrt{x} }{1 - \sqrt{x} } = \frac{1 - 2 \sqrt{x} + x}{1 - x} [/tex]
Sin theta = 3/4, what are the values of cos theta and tan theta?
Answer:
[tex]\displaystyle \cos(\theta) = \frac{\sqrt{7}}{4}[/tex].
[tex]\displaystyle \tan(\theta) = \frac{3\sqrt{7}}{7}[/tex].
Step-by-step explanation:
By the Pythagorean identity, for any given angle [tex]\theta[/tex], [tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex].
Given that [tex]\displaystyle \sin(\theta) = 3/4[/tex], solve this equation for [tex]\cos(\theta)[/tex].
[tex](\sin(\theta))^{2} + (\cos(\theta))^{2} = 1[/tex].
[tex]\displaystyle \left(\frac{3}{4}\right)^{2} + (\cos(\theta))^{2} = 1[/tex].
[tex]\begin{aligned} \cos(\theta) &= \sqrt{1 - \frac{9}{16}} \\ &= \sqrt{\frac{7}{16}} \\ &= \frac{\sqrt{7}}{4} \end{aligned}[/tex].
The tangent of an angle is equal to the ratio between the sine and cosine of that angle. In this question:
[tex]\begin{aligned} \tan(\theta) &= \frac{\sin(\theta)}{\cos(\theta)} \\ &= \frac{3/4}{\sqrt{7}/4} \\ &= \frac{3}{\sqrt{7}} \\ &= \frac{3\sqrt{7}}{7}\end{aligned}[/tex].
A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W
Answer:
A = W² + 6W
Step-by-step explanation:
The width is W.
The length is 6 units greater than the width, so the length is W + 6.
The area is the product of the length and width.
A = (W + 6)W
A = W² + 6W
Simplify each expression -(20+d)
Answer:
-20 -d
Step-by-step explanation:
-(20+d)
Distribute he minus sign
-20 -d
-3/5×(2/9×10/7)
what's the answer
Answer:
-4/21
Step-by-step explanation:
-3/5×20/63
-3×4/63
-4/21
What is x and the unknown angle? May I also get a brief explanation of how to do it?
Answer:
149+(13x+5)=180
154+13x=180
13x=26
x=2
Answer:
see explanation
Step-by-step explanation:
The 2 angles are adjacent on a straight line and sum to 180° , then
149 + 13x + 5 = 180 , that is
154 + 13x = 180 ( subtract 154 from both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Then
unknown angle = 13x + 5 = 13(2) + 5 = 26 + 5 = 31°
You have 3 fair 6-sided dice. You repeatedly roll all 3 at once, until all 3 of them show thesame number. What is the probability that you have to tryat leasttwice
Answer:
35/36 or about 0.972
Step-by-step explanation:
The probability of rolling the same number
first die 6/6
second die 1/6
third die 1/6
1(1/6)(1/6) = 1/36
so there is a 35/36 chance that you will not get it done on the first roll and need to attempt at least one more time.
Solve the following expression when
k= 12
(4k + 2) = 10
Answer:
5
Step-by-step explanation:
(4k + 2) ÷ 10
(4(12) + 2) ÷ 10
(48 + 2) ÷ 10
(50) ÷ 10
= 5
Hope this helps!! <3
The solution to the expression (4k + 2 ) ÷ 10 when k = 12 is 5
From the given expression, we are to solve for (4k + 2) ÷ 10
When
k = 12What we are going to do is that we will replace k with 12 wherever we see (k) in the expression given
∴
= (4k + 2 ) ÷ 10
= (4(12) + 2 ) ÷ 10
= (48 + 2) ÷ 10
= (50) ÷ 10
= 5
Learn more about mathematical expressions here:
https://brainly.com/question/20596193?referrer=searchResults
$8,375.79 to the nearest thousand
Answer:
$8,000
Step-by-step explanation:
8,375.79 < 8,500 so it will round to 8,000
If my answer is incorrect, pls correct me!
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-Chetan K
- (x^2 - 3x + 2) - x(x - 4)
Answer:
[tex] - (x^{2} - 3x + 2) - x(x - 4) \\ = ( - x^{2} + 3x - 2) + ( - x ^{2} + 4x) \\ = - 2 {x}^{2} + 7x - 2[/tex]
I hope I helped you^_^
Answer:
[tex] = - 2 {x}^{2} + 7x - 2[/tex]
Step-by-step explanation:
[tex] - ( {x}^{2} - 3x + 2) - x(x - 4)[/tex]
[tex] - {x}^{2} + 3x - 2 - x(x - 4)[/tex]
[tex] - {x}^{2} + 3x - 2 - {x}^{2} + 4x[/tex]
[tex] - {2x}^{2} + 3x - 2 + 4x[/tex]
[tex] \boxed{\green{ = - 2 {x}^{2} + 7x - 2}}[/tex]
[tex]stan \: \: Dreamcatcher \\ and \: \: stream \: \: BEcause \\answered \: \: by \: \: a \: \: fellow \: \: InSomnia[/tex]
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
123.4
1234 over 12
123 + 4
1234 over 1480
Answer:
123.4
Step-by-step explanation:
Simplify (6+5x)+(7x+3)
Answer: 12x + 9
Step-by-step explanation:
Given
(6 + 5x) + (7x + 3)
Put like terms together
=5x + 7x + 6 + 3
Combine like terms
=[tex]\boxed {12x+9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If 1 pounds = 4 cups then 2 cups = ?
PLEASE HELP I AM STUCK
Answer:
1/2 pound
Step-by-step explanation:
Answer:
2 cups is equal to 0.5 pounds.
Step-by-step explanation:
4 divided by 2 is 2 and 1 pound divided by 2 is 0.5.
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?
Answer:
it will be 736 speed faster than
If a < b, what additional assumptions on a and b will guarantee that a^2 < b^2. Prove your assumption.
Answer:
An additional assumption is that a is not negative.
Step-by-step explanation:
If a could be negative, then:
(-7)^2 < 3^2 would be false because
49 is not greater than 9
-4|8-5n|=19
-4|8-5n|=-19
I need the work shown for me pls so if anyone can help
Step-by-step explanation:
-4|8-5n|=19
-4/-4|8-5n|=19/-4
|8-5n|=4.75
5n=4.75-8
5n=-3.25
5n/5=-3.25/5
n=-0.65
if it is wrong sory
A.It has point symmetry.
B.It has rotational symmetry with an angle of rotation of 120°.
C.It has reflectional symmetry with eight lines of symmetry.
D.It has no reflectional symmetry.
Answer:
c. It has a reflectional symmetry with 5 lines of symmetry
Step-by-step explanation:
Answer:
Step-by-step explanation:
(B). It has rotational symmetry with an angle of rotation of 120°.
what is the location of the circumcenter of triangle abc
Step-by-step explanation:
The circumcenter is the centre of the circumcircle. All the vertices of a triangle are equidistant from the circumcenter.In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle.
if my answer helps you than mark me as brainliest
The area of a rectangle is represented by 9× + 15 and the length of the rectangle is 3. What is the width of the rectangle
Answer:
Step-by-step explanation:
l*b = 9x+15
3*b=9x+15
b=9x+15/3
b=3x+5 ans
Round 475,805 to the nearest ten thousand.
475,805 rounded to the nearest ten thousand would be 476,000.
Find the value of x
Answer:
[tex]sum \: of \: exterir \: anges \: for \: a \: polygon = 360 \\ 5x - 5 + x + 4x - 5 + 4x + 20 = 360 \\ x \: terms \: togather \\ 5x + x + 4x + 4x - 5 - 5 + 20 = 360 \\ 14x + 10 = 360 \\ 14x = 360 - 10 \\ 14x = 350 \\ x = \frac{350}{14} = 25 \\ x = 25 \\ thank \: you[/tex]
Answer:
SUM OF EXTERIOR ANGLES=360
Step-by-step explanation:
5x-5+4x-5+4x+20+x=360
14x+10=360
14x=350
x=350/14
x=25
What can you do if a decimal product has final zeros to the right of the decimal point
Answer:
place the decimal point in the product so that the number of decimal places in product is the sum of decilal places in the factors. keep all zeros in the product when you place the decimal point. you can drop the zeros on the right once the decimal point has been placed in the product.
13. There are about 4 • 10% known species of beetles.
The number of known species of caddis flies is
about 104. How many times more species of beetles
are there than caddis flies?
Answer:
40
Step-by-step explanation:
which statement is true regarding the functions on the graph
A. f(6)= g(3)
B. f(3)=g(3)
C. f(3)=g(6)
D. f(6)=g(6)
I think it's C due to where they meet but I'm not sure
Find all values of c such that 3^2c+1=28*3^c-9. If you find more than one value of c, then list your values in increasing order
[tex]3^{2c} + 1 = 28\times3^c - 9 \implies 3^{2c} - 28\times3^c = -10[/tex]
Complete the square on the left side:
[tex]3^{2c} - 28\times3^c = \left(3^{2c}-28\times3^c+14^2\right)-14^2 = \left(3^c-14\right)^2 - 196[/tex]
Then the equation becomes
[tex]\left(3^c-14\right)^2 - 196 = -10 \\\\ \left(3^c-14\right)^2 = 186 \\\\ 3^c - 14 = \pm\sqrt{186} \\\\ 3^c = 14\pm\sqrt{186}[/tex]
Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:
[tex]\log_3\left(3^c) = c = \log_3\left(14\pm\sqrt{186}\right)[/tex]
Then in increasing order, the solutions are
c = log₃(14 - √186), c = log₃(14 + √186)
Which of the following number(s) rounds to 0.18?
Select all that apply.
A. 0.17714
B. 0.18582
C. 0.18321
D. 0.17217
Answer:
it's A or C
Step-by-step explanation:
because if it was be it would round to .19 but c and a round to .18
Determine the gradient of line AC
Answer:
This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.
If 3^x=243^4, then what is x?
Answer:
x=20
Step-by-step explanation:
3^x=243^4
3^x=(3^5)^4
3^x =3^20
x=20
James is selling a bike on an internet auction website. he pays £1.45 insertion fee, £2.85 for an enhanced advert and a selling fee of £1.95 when the bike is sold. what are his total selling fees to the nearest pound (£)
Hello :D
£1.45 + £2.85 = £4.30
£4.30 + £1.95 = £6.25
£6.25 to the nearest pound = £6.00
Answer: Selling fees = £6 (rounded to the nearest pound)
Step-by-step explanation:
Given information
Insertion fee = £1.45
Enhanced advert = £2.85
Selling fee = £1.95
Given expression deducted from the given information
Total = insertion + enhanced advert + selling
Substitute values into the expression
Total = (1.45) + (2.85) + (1.95)
Simplify by addition
Total = 4.3 + (1.95)
Total = 6.25
[tex]\boxed{Total=6}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
17. Given f(x) = 3x - 1, find f(2)
Answer:
5
Step-by-step explanation:
you have to replace 2 were there's x in the function
f(2)=3(2)-1
=6-1
=5
I hope this helps
perimeter is 21cm Length is 7.5cm and the Breadth is not given
Answer:
The answer is 3cm
Please give branliest!
Step-by-step explanation:
(S1×2)+(S2×2)=21cm
(S1+S2)×2=21cm
S1+S2=21÷2
7.5+S2=10.5
S2=10.5-7.5
S2=3
Breadth=3cm
Step-by-step explanation:
p=2(l+b)
21=2(7.5+b)
21=15+2b
21-15=2b
6=2b
6/2=b
b=3