Given:
Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex] B. [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".
To find:
The equivalent expression.
Solution:
We have,
[tex]8\sqrt{6}[/tex]
It can be written as
[tex]=(\sqrt{8})^2\sqrt{6}[/tex]
[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]
[tex]=\sqrt{8\cdot 8\cdot 6}[/tex] [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]
[tex]=\sqrt{384}[/tex]
So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].
Therefore, the correct option is D.
Convert 1.42 m to customary units
Answer:
the answer is
Step-by-step explanation:
1.553 yards
1.42 m to customary units is 1.553 yards.
What is customary units?On the other hand, "customary" US units have relationships that are not powers of 10;
1 ft = 12 in
1 yd = 3 ft
1 rod = 5.5 yd
1 chain = 4 rods
1 furlong = 10 chains = 220 yards
1 mile = 8 furlongs = 1760 yards = 5280 feet
The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).
For example;
1 cm = 10 mm
1 dm = 10 cm
1 m = 10 dm = 100 cm = 1000 mm
1 km = 1000 m
The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.
Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.
Hence, 1.42 m to customary units is 1.553 yards.
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A.) what is the domain?
B.) what is the range?
C.) is this relation a function?
Answer:
The Domain is the set of all points over which a function is defined.
The range is the set of values the function takes on as output.
The rainfall for the month of July was above average. The water level in a small lake measured 834 feet at the beginning of the month. Due to all the rainfall, the water level rose 35 of a foot per week for the first three weeks, then the lake dropped 12 foot in the last week of the month.
What was the water level of the lake at the end of July?
A
979ft.
B
101120ft.
C
10120ft.
D
71120ft.
Answer:
927 ft so A
Step-by-step explanation:
Answer:
Step-by-step explanation:
9 7/9
What is the value of x?
(5y + 10)
(3x + 7)º
Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
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How much of earth surface by land
Answer:
GOOD AFTERNOON
UR ANSWER IS ::
Step-by-step explanation:
2
510.1 milion km
Your social security number?
A) continuous
B) discrete
C)categorical
Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.
Answer:
x-intercept= 6
y-intercept= 4
Step-by-step explanation:
Solve for x first then solve for y.
Answer: y= -2/3x+4
The X-Intercept is -2/3
The Y- Intercept is 4
Hope this helps!! Have a wonder day everyone!! (:
Step-by-step explanation:
Step one write out the equation 2x+3y=12
Then move the variable to the right hand side and change the sign. 3y=12-2x
Then divide both sides of the equation by 3. You get y=4-2/3x
Then: Use the Commentative Property to reorder the terms. y= -2/3x+4
y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..
X=2.5
Step-by-step explanation:
0.5=1/2
5/2 = 2.5
843.5 x 10*2 =
I need help
Answer:
16870
Step-by-step explanation:
Answer: um 16870 I guess
Step-by-step explanation: I hope I help and can you plz give me a brainliest
7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71
c + 1/4c
please help me i need this done now
Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!
In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.
The final score of the basketball game is (54, 63).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, They only scored 6 points for every 7 points the visiting team scored
and they differ by a total of 9 points.
Therefore, The final score would be 6×9, 7×9.
= (54, 63).
If we take the difference between 63 and 54 it would be 9.
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You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?
Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf
Answer:
0 is the surface of the sea
Step-by-step explanation:
Here, we want to know what zero represents
From the question, we are told that jumping 5 ft below the sea surface represents the depth
-5 ft is same as going 5 units below zero
So therefore, we can have zero representing the sea level
The zero in this case is the surface of the sea
Answer:
B. the surface of the sea
Step-by-step explanation:
have nice day
The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).
What are the coordinates of the centroid of triangle ABC?
Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!
Answer:
(7 , 5)
Step-by-step explanation:
Add all the x-axis then divide by 3
7 + 3 + 11 = 21
21/3 = 7
Add all the y-axis then divide by 3
9 + 3 + 3 = 15
15/3 = 5
So answer will be (7,5)
The coordinates of the centroid of triangle ABC.
(x, y)
Where,
x = Sum all the x-coordinates of the vertices ÷ 3
y = Sum o
The coordinates of the centroid is (7, 5).
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The vertices of the triangle in the diagram below are:
A(7,9), B(3,3), and C(11,3).
Now,
The coordinates of the centroid of triangle ABC.
(x, y)
Where,
x = Sum all the x-coordinates of the vertices ÷ 3
y = Sum of the y-coordinates of the vertices ÷ 3
Now,
x = 7 + 3 + 11 / 3 = 21/3 = 7
y = 9 + 3 + 3 / 3 = 15/3 = 5
Now,
The coordinates of the centroid is (7, 5).
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SOLVING SYSTEMS:
I just need the work for each equation.
In July, the average temperature in Florida was 104°F, while the average temperature in California was 5° cooler. What was the average temperature in California?
°
Answer:
99 degrees F
Step-by-step explanation:
subtract 5 from 104
Answer:
average 104 degrees F
Step-by-step explanation:
Can someone help me please, with the step by step explanation ???
Answer:
a=2
Step-by-step explanation:
8a +9=3a +19
Subtract 9 from both sides
-9= -9
8a=3a +10
Subtract -3a from both sides
5a=10
5a=10
5a divided by both sides
5/5
10/5=2
a=2
The total charge for a taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2
mile traveled. The ride cost him $56.75. How many miles did he travel in the taxi?
Answer:
12 miles
Step-by-step explanation
56.75 - 2.75 = 54
1/2(54/2.25)
0.075,0.75%, 3/4.. Which of the following correctly orders the values above from least to greatest
Answer:
0.075,3/4,0.75
Step-by-step explanation:
Answer:
0.75%, 0.075%, 3/4
Step-by-step explanation:
Took the test and this is the correct answer
Find in term of pi, the volume of the water
PLEASE SOMEONE ACTUALLY HELP I WILL MARK BRAINLIEST
Answer:
C, or the third one
Step-by-step explanation:
p + 0.4 = −6 Solve for p.
Answer:
q=-6.4
Step-by-step explanation:
If you need proof or don't understand I can edit it just tell me.
Find the values of a and b
please I will mark brainliest.
(make sure to show your work)
Answer:
The required values are a = 29°, b = 20°
Step-by-step explanation:
Angles and Lines
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
helpppp
i need help quickly
Answer: 140?
I am not really sure but I think 140......
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
Is this a function or not
Answer:
it is a function
Step-by-step explanation:
What is the reciprocal of 5/16
Answer:
16/5
Step-by-step explanation:
Answer:
16/5
Step-by-step explanation:
When you move the numerator and denominator. (aka. flip)
What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help
Find the area of the smaller sector. Plzzzz help!!!!!!!!!
Answer:
78.151 (approximately)
Step-by-step explanation:
To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²
=140/360×π×8²
=7/18×3.41×64
=7/18×157/50×64
=7/9×157/50×32
=7/9×157/25×16
=17584/225
=78.151 (approximately)