Answer:
8 - 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]
To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.
Rationalizing the denominator, we have;
[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex] = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]
= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]
= [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]
= 2(4 - [tex]\sqrt{3}[/tex])
= 8 - 4[tex]\sqrt{3}[/tex]
The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]
Set up a proportion to solve for x in the following similar triangles.
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
options are on the picture:)
Answer:-
The option B is the right answer.
Solution:-
[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]
[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]
Find the area of circle Q in terms of x
Answer:
The answer is C 100πcm^3
7x-3=5x+9 solve for x
Given :-
7x - 3 = 5x + 9To Find :-
The value of x.Solution :-
Taking the given equation ,
=> 7x -3 = 5x + 9
=> 7x - 5x = 9 + 3
=> 2x = 12
=> x = 12 ÷ 2
=> x = 6
Hence the required answer is 2 .
Can Someone Help Me With This ?
Answer:
its to pixelated
Step-by-step explanation:
Find the measure of the missing angle using exterior angle sum theorm
Answer:
35
Step-by-step explanation:
The exterior sum theorem states the exterior angle is equal to the sum of the opposite interior angles
145 = ?+110
145 - 100 = ?
35 = ?
Which linear inequality represents the graph below? (-2, 3) & (0, -2)
Answer:
no hablo inglés wey perdón corona y gracias
(Algebra ll) Given the function below
Answer: B
Step-by-step explanation:
To find the values of x, we first need to write the function into an equation. We can derive 2 equations from the problem.
Equation 1: y=2|x+6|-4
Equation 2: y=6
Now, we can substitute.
2|x+6|-4=6
Let's solve for x.
2|x+6|-4=6 [add both sides by 4]
2|x+6|=10 [divide both sides by 2]
|x+6|=5 [subtract both sides by 6]
x=-1
Now that we know x=-1 is one of the solutions, we can eliminate C and D.
We know that the absolute value makes the number inside positive always. Therefore, let's solve for x with -5 instead.
|x+6|=-5 [subtract both sides by 6]
x=-11
Therefore, we know that B is the correct answer.
The length of a rectangle is twice its width the perimiter is 60 ft find its area
Hello,
let's assume a=the length and b the width.
[tex]\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\[/tex]
Which shape has the greatest number of lines of symmetry?
A. rhombus
B. square
C. rectangle
D. parallelogram
What is the product?
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
Hi there!
The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.
5 cm and 8 cm ⇒ 5+8=13; not greater than 13
6 cm and 7 cm ⇒ 6+7=13; not greater than 13
7 cm and 2 cm ⇒ 7+2=9; not greater than 13
8 cm and 9 cm ⇒ 8+9=17; greater than 13
Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.
I hope this helps!
Barbara, a school superintendent, asks the local school board for permission to hire an additional teacher whenever the student enrollment at a certain grade level within a school increases by 35 students beyond capacity. This is an example of which type of decision
Answer:
Programmed
Step-by-step explanation:
Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.
why can two prime numbers only have one common factor?
A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).
What is the equation of the following line written in general form? (The y-intercept is -1.)
Answer:
2x-y-1=0
Step-by-step explanation:
.
the letter v has an unknown value. If you multiply v by 16, the product is 4.what is the value of v?
Answer:
v = 0.25
Step-by-step explanation:
v = ?
v x 16 = 4 (given)
v = 4/16
v = 0.25
Checking:
[ 0.25 x 16 = 4]
Answer:
1/4 or 0.25 (as a decimal)
Step-by-step explanation:
We know that v has an unknown value.
When it is multiplied by 16, we would get the product.
Turn it into an equation:
16x = 4
Find x:
4 ÷ 16 = 0.25 or 1/4
Now we’ve find x:
16 x 1/4 = 4
Which is a true equation
So x equals 0.25 or 1/4 (as a fraction)
I’d recommend choose fraction bu whatever is up to you!
what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure
Answer: A. He had lost his dog in the vast, open areas.
Step-by-step explanation:
The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.
In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.
At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 15? What is the balance?
Answer:
$765
Step-by-step explanation:
[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]
A(n) = 450 + (n – 1)(0.05 • 450); $765.00
Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A
Answer:
TFY
Step-by-step explanation:
let's start with the 90 degrees angle.
this is C in the first, and T in the second triangle.
so, C and T must be aligned.
and the we go around.
F ~ H
and then
Y ~ S
Helpppp ,I will mark you brainlist
Answer:
Okay
Step-by-step explanation:
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
3x + y = 10 x - y = 2 2
A shopkeeper allows discount of 12% on the marked price of a certain article and makes a profit of 10%. if the article costs the shopkeeper Rs.420. what price should be the marked price?
Answer:
rs288
Step-by-step explanation:
MP of the article = 210×120100×10087.5= Rs.288210×120100×10087.5= Rs.288
Part of solved Discount questions and answers : >> Aptitude >> Discount
Write each as a percent. Use proportions.
7/25
2/3
3/8
What is 3/4 divided by 1/2
Answer:
6/4 or 1 1/2
Step-by-step explanation:
You have to use the Keep Change Flip technique.
Keep 3/4.
Change the division symbol to a multiplication one
Flipi 1/2 to 2/1
and when you multiply the answer is 6/4 = 1 1/2
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
a)if A×B ={(1,2),(2,3),(1,3),(2,2),(3,2),(3,3)} find i) set A ii) set B.i need for exam
Answer:
soln,
set A ={ 1,2,3}
set B ={2,3}
Can someone help and explain this to me,if you do it means a lot :)
Answer:
0 zero
Step-by-step explanation:
you must find gf(x) first
g[ f(x) ] = g [ 2 + 1 ]
= 3-2+x which is you sub fx tu g
g [ f (-1) ] = 3-2-1
=0
Một lô hàng chứa rất nhiều sản phẩm, trong đó tỷ lệ sản phẩm loại tốt là 70%. Chọn ngẫu nhiên từ lô hàng ra 5 sản phẩm. Gọi X là số sản phẩm tốt có trong 5 sản phẩm chọn ra: a. Hãy tìm bảng phân phối xác xuất b. Xác định kỳ vọng và phương sai của X c. Tìm số sản phẩm tốt được lấy ra có khả năng xảy ra nhiều nhất
Answer:
lâp bảng
Step-by-step explanation:
X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%
X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%
X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%
X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%
X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%
X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%
X 0 1 2 3 4 5
P 1,5 0,84 1,26 1,26 0,84 3,5
b,
E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28
E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16
===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84
The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).
Find the equation of the perpendicular bisector of the side QR
Answer:
Step-by-step explanation:
Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.
Q(-2, -5) & R(8,1)
[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]
So, the slope of the line perpendicular to QR = -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]
Bisector of QR divides the line QR to two half. We have find the midpoint of QR.
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]
slope = 3/5 and the required line passes through (3 , -2)
y - y1 = m(x-x1)
[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]
