Answers
Step-by-step explanation:
The Pythagorean theorem is:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the hypotenuse.
The two wires in the sketch are the hypotenuse so we just use the formula
let the wires=x
So:
[tex] {x}^{2} = {12}^{2} + {6}^{2} [/tex]
[tex] {x}^{2} = 144 + 36[/tex]
[tex] {x}^{2} = 180[/tex]
[tex]x = \sqrt{180} [/tex]
[tex]x = 13.42[/tex] feet
Related Questions
QUESTION 21 PLEASE HELPPP
Answers
Answer:
one solution
Step-by-step explanation:
Since both are y-isolated equation, we can write as:
[tex]\displaystyle \large{6x-2=4x-2}[/tex]
Solve for x, first move 4x to subtract with 6x and -2 to add with -2
[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]
Then substitute x = 0 in any of these equations which we receive y = -2.
And the solution is (0,-2) which only has one solution.
David's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs David $4.45 per pound, and type B coffee costs $5.85 per pound. This month, David made 123 pounds of the blend, for a total cost of $643.95. How many pounds of type B coffee did he use?
Answers
Step-by-step explanation:
x = pounds A
y = pounds B
x + y = 123
4.45x + 5.85y = $643.95
from the first equation we get
x = 123 - y
and we use that in the second equation :
4.45×(123 - y) + 5.85y = 643.95
547.35 - 4.45y + 5.85y = 643.95
1.4y = 96.6
y = 69
x = 123 - y = 123 - 69 = 54
so, he used 69 pounds of B coffee.
you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is your total bill
Answers
Answer:
$4.32
Step-by-step explanation:
If you are splitting it evenly, just divide 12.96 by 3
12.96 / 3 = $4.32
HELPPPP PLEASEEEEE
Answers
In a parking lot 30% of the cars are white write this as a decimal
Answers
Answer:
0.3
Step-by-step explanation:
Answer:
[tex]{ \tt{30\% = 0.3}} \\ [/tex]
Mrs Ang bought k apples at 50% each from a supermarket. How much
change did she receive if she paid $10 to the cashier? Express your answer
in cents.
Answers
Answer:
The apples may have costed 0.50 cents each, and she may have bought 10, which would result in her paying 10 dollars, and receiving 5 dollars in change.
Step-by-step explanation:
Multiply 10 (the amount she gave to the cashier) by 0.50%, it equals 5, so that's how much she paid, and since she gave a 10 dollar bill, she should get 5 dollars in change.
T^T
Find the intersection point for the following linear functions.
Rx) = 2x + 3
8(x) = -4x - 27
Answers
Answer:
(-5, -7)
Step-by-step explanation:
Answer:
[tex](-5,-7)[/tex]
Step-by-step explanation:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=-4x-27[/tex]
[tex]2x+3=-4x-27[/tex]
[tex]6x+3=-27[/tex]
[tex]6x=-30[/tex]
[tex]x=-5[/tex]
[tex]f(-5)=2(-5)+3[/tex]
[tex]f(-5)=-10+3[/tex]
[tex]f(-5)=-7[/tex]
Therefore, the point of intersection is [tex](-5,-7)[/tex]
What is the molarity of a solution
made by dissolving 67.3 g of lithium
chloride (LiCl) in enough water to
make 2.37 L of solution?
Molar Mass Li: 6.94 g/mol
Molar Mass Cl: 35.45 g/mol
Answers
Answer:
0.670. M
Step-by-step explanation:
Molarity can be expressed like this:
molarity = number of moles /volume (L)
We know the volume, which is 2.37 L , but we need to find the number of moles. We can do this by dividing 67.3 g by the molar mass of L i C l :
number of moles = mass of sample /molar mass
number of moles = 67.3 g /(6.94 + 35.45) g/mol = 67.3 g /42.39 g/mol
number of moles = 1.59 mol
molarity = 1.59 mol /2.37 L = 0.670. M
rewrite in simplest terms -6(-7u+6)+2u
Answers
Answer:
44u-36
Step-by-step explanation:
42u-36+2u
44u-36
Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?
y=70+27x
Answers
Answer:
he starts with 70 and $45-18=27 so he makes $27 to add to those $70
Step-by-step explanation:
Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42
Answers
The solution of the given equation will be C -x< 30
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions.
A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.
We have been given the equation as 3-x/2<18.
Now solving for x
3-x/2<18.
Eliminate 3
-x/2 < 18 - 3
-x/2 < 15
Multiply by 2 on both sides;
-x/2 < 15 (2)
-x< 30
Therefore, the solution of the given equation will be C -x< 30
Learn more about solving equations here:
https://brainly.com/question/18015090
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"When I started here, there were 500 employees. Since then, we have
added 35% more employees, so we now have a total of employees."
Answers
Answer:
Assuming that the question is asking how many employees there are, your answer would be 675.
Step-by-step explanation:
First, to find 35% of 500, you can use this equation (35 x 500) / 100 Second, solve the equation (The answer is 175) Third, you add 500 + 175 to get 675What is the prime factorization of 32?
A. 32 = 2 x 4x4
B. 32 = 2x2x2x2x2
C. 32 = 2x2x2x2
D. 32 = 2 * 2 * 2 * 4
Answers
Answer:
2nd option
Step-by-step explanation:
Repeatedly divide by 2 until the value 1 is reached
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1 ← finish here
Then
32 = 2 × 2 × 2 × 2 × 2
Rewrite in simplest terms: (-9x + 7y) - (-9x + 5y)
Answers
Answer:
3y
Step-by-step explanation:
(-9x+7y)-(-9x+5y)
Distribute the negative(-)
-9x+7y+9x-5y
-9 and 9 cancel each other
3y
The simplest terms of the given expression (-9x + 7y) - (-9x + 5y) will be 2y.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(-9x + 7y) - (-9x + 5y)
Open the bracket
-9x + 7y + 9x - 5y
Combined likely terms together
-9x + 9x + 7y - 5y
0 + 2y = 2y
Hence "The formula (-9x + 7y) - (-9x + 5y) will have 2y as its simplest terms".
To learn more about expression,
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What is the value of x in the equation 4
.
+
2
Answers
Answer:
x=-3
Step-by-step explanation:
Find the square (8m-7)^2
Answers
Answer:
64m^2 - 112m + 49
Step-by-step explanation:
You just do the math lol.
Answer:
64m^2 + 112m + 49
Step-by-step explanation:
I got it right in Grandpoint.
A rectangular cube of iron is a side 8 cm. What is it volume.
Answers
[tex] = {8}^{3} \: \: cm ^{3} \\ = 512 \: \: {cm}^{3} [/tex]
Answer:
The volume is 512 cube centimetres.
Hope you could get an idea from here.
Doubt clarification - use comment section.
What order should you simplify like terms in? E.g. [tex]16-4\sqrt{5} -4\sqrt{5} +5[/tex] A video said to Simplify the numbers first as they will be positive?
But in [tex]6+3\sqrt{5} +2\sqrt{5}+5[/tex] You simplify the surds first.
Answers
Answer:
It does not matter, since, from your second case, [tex]5\sqrt5 +11 = 11+5\sqrt5[/tex].
In general is a matter of personal preference but in general I like to start with a positive number (I like [tex]\sqrt2 -1[/tex] more than [tex]-1+\sqrt2[/tex] since if there's an equal sign before I'm guaranteed to have the two signs mesh together in a few steps).
If everything you are adding together is positive, I just go first come first served and pick a new term in order it appears in the previous passage.
Help with this please?
Answers
Express the following surds in the simplest form
a)
[tex] \sqrt{128} [/tex]
b)
[tex] \sqrt{48} [/tex]
c)
[tex] \sqrt{300} [/tex]
Answers
[tex] \sqrt{128} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} } \\ = 2 \times 2 \times 2 \\ = 8[/tex]
[tex] \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} [/tex]
[tex] \sqrt{300} \\ = \sqrt{2 \times 2 \times3 \times 5 \times 5} \\ = \sqrt{ {2}^{2} \times 3 \times {5}^{2} } \\ = 2 \times 5 \sqrt{3} \\ = 10 \sqrt{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
help plsssssssssssssss
Answers
Answer:
Last answer, height is 150 ft
Step-by-step explanation:
from the graph, you can clearly see, when T=3, H=150
Which means The firework is at a height of 150 feet
Answer:
D
Step-by-step explanation:
At 3 seconds, the firework is at a height of 150 feet
Answer is D. third option
The firework is at a height of 150 feet
7362*637 help please
Answers
Answer:
4689594
Step-by-step explanation:
Help help help math math
Answers
Answer:
Function
Step-by-step explanation:
Hope it help !!
please help I am so lost rn
(please put step by step if you can)
thanks!
Answers
Answer:
x=-5 and y= 4
Step-by-step explanation:
To eliminate x, add up both equations
9y= 36
divide both sides by 9
y=36/9
y= 8
To eliminate y, multiply the first equation by 8
-16x + 8y = 112
2x+ 8y= 22
Subtract equation 2 from equation 1
-18x = 90
Divide both sides by -18
x= 90/-18
x= -5
10. A wedding reception bartender is faced with a problem: how many litres of fruit juice must be
mixed with 4 litres of a 24% flavoured rum to make a rum punch of 8% strength?
Answers
9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:
(4 x 24 + 4) / 8 = 12.5 (4 x 24 + 8) / 12 = 8.66 (4 x 24 + 9) / 13 = 8.07 (4 x 24 + 9.14) / 13.14 = 8
Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
Learn more about maths in https://brainly.com/question/25865591
find three solutions for 9x - 2y = 18
Answers
Answer:
[tex](x,y) = \left(5,\dfrac{27}2 \right), \left(0,-9), \left(9, -\dfrac 92 \right)[/tex]
Step-by-step explanation:
In a group of workers, 16 belonged to a lottery syndicate and 4 did not.
What fraction of the workers did not belong to the syndicate?
1: 4/16
2: 1/5
3: 1/4
4: 3/4
Answers
Answer:
HI THEREthe answer is number 1 !!
• correct me if I'm wrong
Which of the following is equal to 2,952 ÷ 24?
A.
(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)
B.
(2,400 + 24) ÷ (480 + 24) ÷ (72 + 24)
C.
(2,400 + 24) + (480 + 24) + (72 + 24)
D.
(2,400 ÷ 24) - (480 ÷ 24) - (72 ÷ 24)
Answers
Answer:
A
Step-by-step explanation:
After doing long division we then know that 2,952 ÷24 = 123
We 1st follow pemdas knowing this we solve the equations in parenthesis 1st
(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)
2,400 ÷ 24 = 100
480 ÷ 24 = 20
72 ÷ 24 = 3
We can then rewrite the equation as
100 + 20 + 3 We then solve left to right
100 + 20 = 120
120 + 3 = 123
ST
16. (26)
A bag contains 3 green marbles and
7 yellow marbles. Find the probability of
drawing a green marble, keeping it, and
drawing another green marble. Write the
probability as a fraction in simplest form.
17.
Answers
Answer:
the probability would be 30% but as a fraction it would be 3/10
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
The probability of the first one is 7/10 and the second one is 6/9. Multiply them together and you get 42/90, which simplifies to 7/15.
Please answer. I will give brainliest to the best answer
Answers
Answer:
b
Step-by-step explanation:
took the test a bit ago