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3 years ago

I need help with this

Mathematics

1 answer:

Triss [41]3 years ago

4 0

Since 12 is hypotenuse, formula we would use is:
12^2=5^2+x^2
144=25+x^2
x^2= 144-25
x^2=119
x= √119
x=10.9087
Rounded to nearest tenth,
x=10.9
Good luck.

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation h = -16t2 + 72t +

boyakko [2]

Answer:

about 5.613 seconds

Step-by-step explanation:

Using the quadratic formula to find the value of t when h = 0, we have ...

at² +bt +c = 0

t = (-b±√(b²-4ac))/(2a)

t = (-72±√(72² -4(-16)(100)))/(2(-16))

t = (-72±√11584)/-32 = (9±√181)/4

Only the positive value of t is of interest.

The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.

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3 years ago

3. A children's slide is 10 feet long and inclines 64° from the ground. The

Nata [24]

Answer:

87.0°

Step-by-step explanation:

The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.

In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...

sin(C)/c = sin(A)/a

sin(C) = (c/a)sin(A)

C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°

The ladder makes an angle of about 87° with the ground.

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2 years ago

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

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1 year ago

How May I Draw My number Line And Where Would My Numbers Go?

Digiron [165]

.5 is basically 1/2. We know this because .5 written as a fraction is 50/100 which you can simplify to 1/2.

6/10 is greater than 1/2. You can find this out by converting 1/2 to tenths. Multiply the numerator and the denominator by 5 to get 5/10. From there you can easily see that 6/10 > 5/10.

As for the number line simply use 10ths: 1/10, 2/10, 3/10 ... and input 6/10 and 5/10 in the appropriate areas.

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3 years ago

If you’re good with permutations in math 30 please help and answer this easy question below real answers only

vredina [299]

Answer:

Hello,

c) 720

Step-by-step explanation:

consonants : 5

5 x 4 x 3 x 2 x 1 = 120

other letters : 3

3 x 2 x 1 = 6

and 6 x 120 = 720

720 arrangements here

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3 years ago