Answer:
1
Step-by-step explanation:
Given that,
[tex]a=3+2\sqrt{2}[/tex]
We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].
So,
[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]
As numerator and dinominator is same. It means,
[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]
So, the value of the given expression is equal to 1.
There are infinite numbers of rational number between any 2 rational numbers which one of the following lies between 20/30 and 40/50?
A. 3/5 b. 11/15 c. 41/30 d. 14/15
Answer: B 11/15
Step-by-step explanation: 11/15 = 22/30> 20/30
but 11/15 = 110 /150 < 120/150 = 30/50
What shape do you get when you plot and join (in order) the following points? (3, 6), (7, 6), (9, 1) and (1, 1) | plz
Answer:
Ty for stealing 40 points from me without answering my question. =_=
Step-by-step explanation:
Please do not answer questions just for points.
And I think the answer is a parallagram
Sorry if its wrong
Hi please help me I'm in the middle of a test and I don't want to get grounded
Answer:
8(3j-2)
Step-by-step explanation:
Answer:
A.
[tex]8(3j - 2)[/tex]
The 14th term in the geometric sequence 6,-18,54
Answer:
Step-by-step explanation:
V
Answer:
-9565938
Step-by-step explanation:
an = 6(-3)^n-1 is the formula to find any term
plug in 14 for n because that's the term you're looking for
The New York Knicks began selling game tickets at 9:00 a.m.In the first hour they sold tickets to 1,280 people.In the second hour they sold 20% more tickets than in the first hour.Each ticket cost $45 dollars.What was the total amount of money paid for all tickets in the first two hours of the sale?
Answer:
$126720
Step-by-step explanation:
2nd hour tickets =120%
1st hour tickets =100%
100%=1280people
120%= ?
=1536 people+1280
=2816people were sold tickets
2816people are the same as 2816tickets
If 1 ticket =$45
2816tickets=?
2816*45=
=$126720
Answer:
answer 126720
Step-by-step explanation:
Graph the triangle with vertices (8,8), (0,3), and (9,2).
HELP PLEASEE no links hellpp
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B and E
Step-by-step explanation:
perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles
Write te expanded form of 54 72/100 in a fraction form
Answer: fifty-four and seventy-two hundredths
Determine the measure of the angle represented by Ø using the inverse tangent function
a 50.2°
b. 56.4°
C 39.8
d. 33.6°
ANSWER:C
Answer:
39.80°
Step-by-step explanation:
Find the diagram attached
Given the following
Opposite side = 5m
Adjacent = 6m
Required
Angle Ø
Using the SOH CAH TOA identity
Tan Ø = opposite/adjacent
Tan Ø = 5/6
Tan Ø = 0.8333
Ø = arctan(0.8333)
Ø = 39.80°
Hence the measure of the angle represented by Ø is 39.80°
Answer
C
Step-by-step explanation:
on edge
On the grid draw the graph of x + 2y =7
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]x + 2y = 7[/tex]
Required
Draw the graph
First, we identify at least 2 possible values of x and y
Let [tex]x = 1[/tex]
Solve for y
[tex]x + 2y = 7[/tex]
[tex]1 + 2y = 7[/tex]
[tex]2y = 6[/tex]
[tex]y = 3[/tex]
So, a point is: [tex](1,3)[/tex]
Let [tex]x = 3[/tex]
Solve for y
[tex]x + 2y = 7[/tex]
[tex]3 + 2y = 7[/tex]
[tex]2y = 7 -3[/tex]
[tex]2y = 4[/tex]
[tex]y = 2[/tex]
So, another point is: [tex](3,2)[/tex]
Plot [tex](1,3)[/tex] and [tex](3,2)[/tex] on the graph, then draw a straight line through both points
See attachment for graph
Help please help I need help to this assignment I need an 80
Answer:
A) 15/52
Step-by-step explanation:
Good luck with your assignment
Answer:
A
Step-by-step explanation:
15/52
Good Luck!!!!!
How many squares are in this figure in all?
Answer:
explanation
Step-by-step explanation:
there
are
22
squares
all
together
There are 23 Squares within this figure
g According to the U.S. department of Agriculture (USDA), 48.9% of males aged 20 to 39 years consume the recommended daily requirement of calcium. After an aggressive "Got Milk" advertising campaign, the USDA conducts a survey of 35 randomly selected males aged 20 to 39 and finds that 21 of them consume the recommended daily allowance (RDA) of calcium. At the ????=0.05level of significance, is there evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased?
Answer:
We can conclude that there is no sufficient evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased
Step-by-step explanation:
H0 : p = 0.489
H1 : p > 0.489
Phat = x/ n ; x = 21 ; n = 35
Phat = x/ n = 21 / 35 = 0.6
Test statistic :
(Phat - P0) ÷ sqrt[P0(1 - P0) /n]
1 - P0 = 1 - 0.489 = 0.511
Phat - P0 = 0.6 - 0.489 = 0.111
Test statistic = 0.111 ÷ sqrt[(0.489 * 0.511) / 35]
Test statistic = 0.111 ÷ sqrt(0.0071394)
Test statistic = 0.111 ÷ 0.0844949
Test statistic = 1.314
Pvalue from Tstatistic :
Pvalue = P(Z < 1.314) = 0.90558
α = 0.05
Pvalue > α ; Hence, we fail to reject the Null
We can conclude that there is no sufficient evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased
Two angles of a triangle are the same size. The third angle is 3 times as large
as the first. How large are the angles?
plss help me with this MATHEMATICS question pls and I will mark u as brainliest
Answer:
Step-by-step explanation:
Step-by-step explanation: 3. 106.977
If you apply the law of Cosines, you should get
106.977 for 3.
Jessica bought 1/2 pound of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amounts Jessica bought? Mark all that apply.
A.8/16 and 10/16
B.6/12 and 10/12
C.5/10 and 8/10
D.12/24 and 20/24
in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram
Step-by-step explanation:
²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{
Pls help asap thank you
Use the Pythagorean theorem to find the height.
Height = sqrt(26^2-10^2)
Height = 24 cm
Volume = 20^2 x 24/3
Volume = 7,200 cm^3
Solve for x.
x = [?]
2x + 9
8x + 1
Answer:
X=17
Step-by-step explanation:
(2x+9)+(8x+1)=180
10x+10=180
10x=170
X=17
Total surface area if 5.5in 4.5in and 3 in
Answer:
109.5in squared
Step-by-step explanation:
Use formula b x h to solve each rectangular side, after wards add the values up.
there are 650 students in a school if the number of girls is 106 more than the boys how many boys are in the school
Answer:
boys = 272
Step-by-step explanation:
b = boys
g = girls
1) write two equations with the given informations:
g + b = 650
g = b + 106
2) substitute the value of g in the first equation:
b + 106 + b = 650
3) solve the equation for b
2b = 544
b = 272
4) substitute the value in the second equation
g = 272 + 106
g = 378
girls = 378
boys = 272
A salmon is swimming in a river that is flowing downstream at a speed of 2 miles per hour. The slamon can swim 12 miles upstream in the same amount of time it would take 24 miles downstream. What is the speed of the salmon in still water?
Answer:
The speed of the salmon in still water is 6 mi/h
Step-by-step explanation:
When an object moves with a speed So (So measured in still water) in a river with speed Sr:
If the object moves along the current (downstream), then the actual speed of the object will be:
S = So + Sr
If the object moves upstream, then the velocity will be:
S = So - Sr
In this case we know the speed of the river downstream is 2 mi/h
Sr = 2mi/h
And we know that the salmon can swim 12 miles upstream in the same time (T) that it can swim 24 miles downstream.
Here you need to remember the relation:
Distance = Time*Speed.
Then we know that:
24 mi = (So + 2mi/h)*T
12 mi = (So - 2mi/h)*T
Now we can take the quotient of these two equations to get:
(24mi/12mi) = ( (So + 2mi/h)*T)/((So - 2mi/h)*T)
2 = (So + 2mi/h)/(So - 2mi/h)
Let's multiply both sides by the denominator of the right part:
2*(So - 2mi/h) = (So + 2mi/h)
2*So - 4mi/h = So + 2mi/h
Now we need to isolate So, the speed of the salmon in still water:
2*So - So = 2mi/h + 4mi/h
So = 6mi/h
The speed of the salmon in still water is 6 mi/h
giving brainliest !!!
Answer:
600
Step-by-step explanation:
Surface area of a cube:
SA = 6a²
Given:
a = 10
Work:
SA = 6a²
SA = 6(10²)
SA = 6(100)
SA = 600
Answer:
600 squared feet
Step-by-step explanation:
This is your answer because in order to find surface area you can use the equation 6s². Which would be 6 times your side length of 10, then to the 2nd power. This is the equation because there are 6 sides in total on your cube and you are trying to find the surface area of all the sides. Since this is a cube all the sides lengths are the same, therefore you times the side length by 6 to include all of the sides. After you get your answer it is squared feet because you have a 3 dimensional shape or 3D shape. Hope this helps!!
6s²=SA
6(10)²=SA
60²=SA
600=SA
Look at the equation.
3+4(5−x)=19−4x+4
How many solutions does the equation have? Explain your answer.
Answer:
infinite solutions
Step-by-step explanation:
3+4(5−x)=19−4x+4
Distribute
3 +20 -4x = 19 -4x +4
Combine like terms
23 -4x = 23 -4x
Add 4x to each side
23-4x+4x = 23-4x+4x
23 =23
This is always true so there are infinite solutions
A mason gets $684 for 9 days
of work how many days
should he work to get $912
Answer:
12days
Step-by-step explanation:
A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.
Answer:
12 days
Step-by-step explanation:
912/76 = 12
Take your time please.
Answer
1 2/7 and 4 2/4
Step-by-step explanation:
19/7-10/7=1 2/7 and 5/4 + 7/4 + 6/4 = 4 2/4
Answer:
The first one is approximately 1.29 and the second one is 4.5.
Step-by-step explanation:
Hope this helps!
Simplify the expression and write your answer as a power
10
Answer:
10^88
Step-by-step explanation:
You have to multiply the exponents since they are in parenthesis.
Good Luck!
Answer:
The answer is C. 10^88
Step-by-step explanation
Whenever you have an exponent written like this, you must multiply the 8 and 11. Which will give you 10^88. I hope this has helped you! :3 Sorry if it is incorrect.
solve for x without using a calculator
x^4+81=0
Answer:
the answer to the equation is x= -3
5 t-shirt cost R120.how much will 9t-shirt cost
Step-by-step explanation:
given
5 t-shirts = R120
(5÷5) t - shirt = R(120÷5)
1 t-shirt = R24
(1x9) t-shirts = R(9x24)
= R216
A culture of bacteria has an initial population of 54000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 8 hours, to the nearest whole number?
Answer:
P
t
=119241.6675≈119242
Step-by-step explanation:
