The simplification of √75+ √48 -2√675 is -21√3.
What is a surd?Surds are irrational numbers.
To simplify the surd in the question above, we use the addition and subtraction of surds.
Addition and subtraction of surdsTwo or more surds can be added or subtracted if they are in the same basic form.
E.g
a√b+c√b = (a+c)√ba√b-c√b = (a-c)√bUsing the above example,
Given:
√75+√48-2√675Express the surds to the same basic form
5√3+4√3-(2×15)√35√3+4√3-30√39√3-30√3 = -21√3Hence, the simplification of √75+ √48 -2√675 is -21√3.
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HellpppNeed help please urgent
Answer:
the answer is 63.59m²
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{3}{2} \\ = \frac{9}{2} (since \:1cm = 3m \: so \: 3cm = 9m) \\ = 4.5 \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times (4.5) {}^{2} \\ = 3.14 \times 20.25 \\ = 63.585 {m}^{2} [/tex]
Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)
Answer:
left one on 3rd row
Step-by-step explanation:
using the rules of exponents/ radicals
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
given
[tex]12^{-\frac{4}{7} }[/tex]
= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]
= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]
The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.
They are 2 and 3, since 2 + 3 = 5
Let x be the smaller number. Then
x + (x + 1) = 5
2x + 1 = 5
2x = 4
x = 2
x + 1 = 3
Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?
Answer:
y=0.5x + 4
..............
Answer:
The answer is C y=0.5x+4
Step-by-step explanation:
Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove:
E
D
F
חד
C
The proof of the given statements is shown below:
What is tangent to a circle?A line segment which touches a circle specified to only one point is called a tangent to that circle.
1. given
2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,
angle EFC =90
4. Sum of interior angles of a triangle is 180°.
5. proved above: angle EFC= 90
6. FEC + ECF= 180-90=90
7. As proved above
FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.
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A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.Answer: A
Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?
The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate
Answer is 5
Slope is found by finding change in y over change in x
First I solved for Y, -15-3= -18
So I knew x had to be -9 for the slope to be 2
See picture for detailed math
What is value of m in the equation 3 (2x - 4) = x +3
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
x = 3Step-by-step explanation:
What is value of m in the equation
3 (2x - 4) = x +3?
3 (2x - 4) = x + 3
6x - 12 = x + 3
5x = 15
x = 15 : 5
x = 3
Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer
Step-by-step explanation:
the united set of A and B contains every element of both sets without listing any element twice.
so, it is
{1, 2, 4, 5, 7, 8, 11}
Translate into an equation.
The sum of seven and a number, x, is five.
Answer:
x + 7 = 5
Step-by-step explanation:
I think this should be an equation I’m in 7th and I am learning these again so it should be an equation.
A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?
Answer:
B = R 100 000
Step-by-step explanation:
B will be 2 out of 4 + 3 + 2 = 2/9 of the total
2/9 * 450 000 = 100 000
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?
What do you know about the sides of a cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Step-by-step explanation:
1 15625 m
2 13824 m
3 343 m
4 14167 m
5 cube with 25 m
A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
pretend this is a 20 letter question please help me
Answer:
1.64+0.94v
Step-by-step explanation:
0.2(8.2+4.7v)
0.2(8.2)+0.2(4.7v)
1.64+0.94v
I'm not very confident with this answer but I hope this helps
If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55
16/10= 96/60=8x/55=8/5
8x*5=55*8
40x=440
x=11
A 3-yard roll of waxed paper costs $9.81. What is the price per foot?
Answer:
1.09
Step-by-step explanation:
9.81÷3=3.27 This shows the cost of 1 yard
3.27÷3= 1.09 since theres 3 feet in a yard, when you divide by 3 it shows how much 1 foot costs
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?
Multiply:
3437 x 42%
3437 x 0.42 = 1443.54
answer: $1443.54
Determine the sine, cosine, and tangent to the angle
A sun 0=12/15
Answer:
Cos θ = 13/15
Tan θ= 12/13
Step-by-step explanation:
We are given;
Sin θ = 12/15
From trigonometric ratios, we know that;
Sin θ = opp/hyp
Cos θ = adj/hyp
Tan θ = opp/adj
Thus, since Sin θ = 12/15, then;
Adjacent side = √(15²- 12²)
Adhacent side = √169
Afjacent side =13
Thus;
Cos θ = 13/15
Tan θ= 12/13
These are similar
figures. Solve for x
Answer:
x= the second one I hope I helped
A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.
The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
Solve the following equation algebraically:
3x²=12
A. +3
b. ±2
C.+3.5
d. ±1.5
Answer:x = ± 2
Step-by-step explanation:3x² = 12
x² = 12/3
x² = 4
x = √4
x = ± 2
Answer: x = ± 2 hopes that helps you out bud
Answer
x = 2 or x = -2
Brainliest?
Write an equation for this situation.
7. Given the following Balance Sheet
extract, calculate the net profit on the
Income Statement. (Assuming tax rate
= 10% of operating profit)
Balance Sheet Extract:
Shareholders Equity
Common Stock
200
25
Retained Earnings
Revenues
170
Cost of Sales
(103)
Salaries
(30)
Interest
(12)
The net profit on the Income Statement based on the balance sheet given will be 21.
How to calculate the net profit?The net profit will be calculated thus:
Revenue = 170
Less coat of sales = 103
Less salaries= 30
Operating income = 30
Less interest = 12
Income before tax = 25
Less Income tax = (10% × 37) = 3.7
Net profit = 21.3 = 21
Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.
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Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]
Answer:
-2/5
Step-by-step explanation:
I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!
Answer:
-2/5
Step-by-step explanation:
+ × - = -
10/5-12/5
apply the fraction rule a/c-b/c =a-b/c
10-12/5
substract 10-12 =-2
-2/5
A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece
Answer should be 7/2m
Answer:
3 ¹³/²⁰ m
Step-by-step explanation:
You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20
The radius, R, of a sphere is 7.8 m. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
1986.8m³
Step-by-step explanation:
Radius=7.8m
Volume of sphere =4/3pi r³
=4/3×3.14×7.8³=1986.8m³
If ABCD and MNPQ are squares, where M is the center of the first. Calculate x
Answer:
x=48º
Step-by-step explanation: