Answers
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
Related Questions
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
Answers
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Catherine buys 2.12 pounds of tomatoes, 1.45pounds of chicken and 3.19 20 points
pounds of onions from a supermarket. Find the total weight of the
groceries she bought.
Answers
Answer:
The answer is 6.762 pounds.
Step-by-step explanation:
2.12 + 1.45 + 3.19 20 = 6.762.
Can I get some help plz thank u sm
Answers
Answer:
x = 72
hope it helps
2.) A car rental company is charging a
$50 rental fee and then $0.17 per mile.
.
Write an expression that represents the
total cost of renting a car for a day using
m for number of miles.
If Kane traveled 55 miles, how much
did his trip cost?
Answers
Answer:
y=0.17x+50. His trip cost $50.85
Step-by-step explanation:
Find a solution for
-2/9 = 4/m
Answers
I think its -18
Step-by-step explanation:
-2/9 = 4 /m
-2 ×-2 = 4
so you would do the same to the bottom
9 ×-2 = -18
sorry if I'm wrong
Y'all I kinda need help in this problem
Answers
Answer:
4
Step-by-step explanation:
15km in 1 hour
60 minutes in 1 hour
60 min/15km
4 min per km
Nick has a bag of marbles. Without looking in the bag, he
selects a marble, records its color, and puts it back in the
bag. All marbles are equally likely to be chosen. He
performs 100 trials.
Number of times a white marble was chosen
48
Number of times a red marble was chosen
13
Number of times a green marble was chosen 27
Number of times a blue marble was chosen
Based on the data Nick collected, what is the estimated probability, in
simplest form, of choosing a white marble from the bag? please help me
Answers
Answer:
Step-by-step explanation:
Ok wait. Try add
Answer:
12/25
Step-by-step explanation:
The means of a proportion are 4 and 17. List all possible pairs of positive integers that could be the extremes of the proportion.
Answers
Step-by-step explanation:
Equating two statements is called proportion. By property of the proportion, the cross product of the mean is equal to cross product of the extreme. Also we can denote as ratio of extreme and mean.
A×B=B×C
Excuse me but can someone help me with this I have to do it before tomorrow
Answers
Answer:
8) Onaje is correct
9a) answers could be: 3(6y) or 4y + 6y + 8y or 2(2y + 3y + 4y)
b) all answers simplify to be 18y
Step-by-step explanation:
Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t
16t + 9t only equals 25t
Answer:
8. Onaje's expression is correct.
Step-by-step explanation:
The price, t, of the medium T-shirts can be represented as 16t, or 16 × t.
The price, t, of the large T-shirts can be represented as 9t, or 9 × t.
16t + 9t = (16 + 9) × t = 25t
Answer:
9. Part a: The expression could be 9y - 3y + 12y.
9. Part b: 9y - 3y = 6y
6y + 12y = 18y
What is 3.016 written in words?
A Three and sixteen tenths
B Three and sixteen hundredths
C Three and sixteen thousandths
D Three and sixteen ten-thousandths
Answers
Some one help please fast help ASAP
Answers
Answer: (x, y) --> (x, -y)
Step-by-step explanation:
This is a reflection over the x-axis so its only the y-intercept that changes.
Answer:
its a reflection
Step-by-step explanation:
If it were a rotation, it wouldnt have overlapped.
If it were a translation, It would have been the wrong way up and not overlapping.
When reflected over line x, it will overlap because it stays rigid and does not change shape or size.
hope this helps :)
A mountain climber ascends 800 feet per hour from his original
position. After 6 hours, his final position is 11,600 feet above sea
level. Find the climber's original position,
Answers
Answer:
4,800
Step-by-step explanation:
Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.
PLEASE HELP ME I'M BEHIND ON MY MATH AND I CAN'T FIND ANY ANSWERS!!! :(
Two banks offer to loan you money for a big purchase. How would you use your knowledge of simple interest to determine which loan to choose for this purchase?
(20 points)
(Written Response)
( E d g e n u i t y 2021)
(Mathematics 7 A)
(Journal Activity JAN 05.)
** Please answer to this if you did it already did this assignment already..! I'm behind on my math and I can't find any thing to help me out! **
Answers
Answer:
you would see which bank has a good business and have loyal customers and which one is giving you a better offer
Step-by-step explanation:
HOPE THIS HELPED!
Answer:
e.
Step-by-step explanation:
Find the slope and the -intercept of the line. y=-1/5x+7 plz i need help
Answers
Answer:
slope= -1/5
y-intercept=7
Step-by-step explanation:
y=mx+b is a linear equation
m=slope
b=y-intercept
Plz help its really urgent!!
Answers
Answer:
3)0.4 and 1.8
Step-by-step explanation:
:):):):):):):);):):)
12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 109. (Round to the nearest minute.)
Answers
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-
Which statements are true?
Select each correct answer.
Since −6 is 6 units to the left of 0, |−6|=6 .
The absolute value of −6 is negative.
The absolute value of −6 is less than the absolute value of 6.
−6 is closer to zero on the number line than −7 , so |−6|<|−7| .
Answers
Answer:
The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)
Step-by-step explanation:
Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).
help me find the area :)
Answers
Answer:
20.625 ft²
(hope this is right :)
Find the length of the missing side
Answers
Answer:
c²=a²+b²
17²=289
10²100
a=√(17²-10²)
so 289-100=189
square root answer
=13.7477270849
Answer:13.75
What is the slope of the line that contains the points (-4, 2) and (6, -3)?
Answers
Answer:
-1/2 or [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
to find the slope, use the formula
(y₁ - y₂)/(x₁ - x₂)
(2 - -3)/(-4 - 6)
(2 + 3)/(- 4 - 6)
5/-10
1/-2
-1/2
Given the graph that is shown. What is the range of the function??!
Answers
Answer:
[tex]-3\leq x[/tex] < 6
third answer choice
Step-by-step explanation:
A birdwatcher recorded how many birds were in two different parks each day for four days. The data is shown in the table.
Day
1 | 2 | 3 | 4
Park A 10 12 14 16
Park B 2 4816
Move options to the blanks to compare how the bird population is growing at each park.
Each day, the number of birds in Park A grows by
Each day, the number of birds In Park B grows by
If this pattern continues after day 4. Park
will always have more birds.
an increasing amount
a decreasing amount
the same amount
А
B
Answers
Answer:
Step-by-step explanation:
what’s the answer?
Sarah and $600 per week and spends 15% of earnings on transportation how much does Sarah Spain and transportation every week plz this is very important
Answers
Answer she spent 90$ so she should have 510 dollars left
Step-by-step explanation:
15% of 600 is 90. 90-600=510
HELP
What is the domain of the equation graphed below
Answers
Answer:
The domain of a function is the range of which the x-axis spans across the function. Range is the range of which the y-axis spans across the function. You can see here, there is not stoping point on either side of the function, meaning that the function reachest from -infinity to +infinity. So you answer would be:
B) All Real Numbers
Hope that I helped!
Using the diagram below, find the length of BC.
Answers
Write an algebraic expression for each verbal description:
The number of people who do NOT have brown hair
b= number of people WITH brown hair
Answers
Find the area of the polygon.
Answers
32x20=640 square ft for box 1
For box 2 ||
40-32= 8
16x8= 128 square ft for box 2
For triangle 3
20-16=4
Has dimensions of 8x4|| divide by two to the t the area of a triangle
(8x4)/2 = 16 square fr
16+128+640= 784 square ft total
If purchased before the game, tickets to a high school baseball game cost $1.00. If purchased at the gate, the tickets cost $1.50. For a particular game, 500 tickets were sold and the total receipts were $587.50. How many tickets were purchased before the game and how many tickets were purchased at the gate?
Answers
Answer:
10
Step-by-step explanation:
Answer:
235
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
18x to the power of 2 -15x+2
Step-by-step explanation:
Please help!! Why is sin(20) = sin(160) = -sin(200) = -sin(340)?
Answers
These relations all follow from the identity,
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get
sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)
We know sin(180°) = 0 and cos(180°) = -1, so we end up with
sin(160°) = sin(20°)
For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.
Answer:
Step-by-step explanation:
sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20
sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)
