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Allisa [31]
3 years ago
14

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 50. HELPPPPPP

Mathematics
2 answers:
const2013 [10]3 years ago
8 0

Answer:

14

Step-by-step explanation:

The formula for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2.  A and B stand for the legs of the triangle while C is the hypotenuse of a right triangle. With this information, you can plug in the numbers into the formula to discover the length of C. You can plug in 48 for either A or B since it is the only leg you know the value of, and then you plug in 50 for C since you know it is the hypotenuse. So, you get 48^2 + b^2 = 50^2. Now to find the value of the unknown leg, b, you just simplify the equation. 48^2= 2304 and 50^2= 2500. So you get 2304 + b^2 = 2500. Then, to isolate b^2 you subtract 2304 from both sides of the equation. 2500-2304 equals 196, so you get b^2 = 196. Lastly, you square root both sides of this equation to get b = 14.

makkiz [27]3 years ago
3 0

Answer:

14 is the length of the missing side.

Step-by-step explanation:

Use pythagorean theorem.

48^{2}+b^{2}=50^{2}

2304+b^{2}=2500

\sqrt{b^{2}}=\sqrt{196}

b=14

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The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard deviatio
Fiesta28 [93]

Answer:

15.87%

Step-by-step explanation:

Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.

We can use the tables of Z distribution for that, or the standard normal tables:

P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%

7 0
3 years ago
0.7x+6=0.3(4x+6)−2x
Gelneren [198K]

Answer: x=-2.8

Step-by-step explanation:

Given the following equation:

0.7x+6=0.3(4x+6)-2x

You can follow these steps in order to solve for "x" and find its value:

1. Apply Distributive property on the right side of the equation:

0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x

2. Subract 0.7x from both sides and add the like terms:

0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8

3. Subtract 1.8 from both sides:

6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x

4. Finally, divide both side of the equation by -1.5:

\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8

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