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Kazeer [188]
3 years ago
12

Find the length of side x in simplest radical form with a rational denominator

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
You don’t add a photo
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3/7x+5=8<br><br> 1) 7 2/3<br> 2) 7<br> 3) -7
Aleks04 [339]
3/7 x+5=8
3/7 x=3
3x=21
x=7

The answer is (2)
5 0
3 years ago
What is the length of the diagonal of a TV that measures 2.25 feet high and 4 feet wide?
NikAS [45]

Answer:  Rounded, the diagonal is 4.6 feet

Step-by-step explanation: Use the Pythagorean Theorem:  c² = a² + b²

Then take the square root of c² to find the length

2.25² =5.0625  This is a²

4² = 16  This is b²    Add a² + b²  to get c²

5.o625 + 16 = 21.0625 This is c²

√21.0625 = 4.589389938 This is the square root.

Round this to common measurements or "significant digits"  4.6 feet.

6 0
3 years ago
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the m
nekit [7.7K]

Answer:

Step-by-step explanation:

From the given information:

Assuming we have an integer c to represent the components in the stocks.

Thus, the needed probability can be expressed as:

P(X_1+X_2+ ........ X_c \ge 2000)

To break this down, we have:

P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )

P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \  because  \ Z_{0.05} = -1.65 \\ \\  \\  \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\  n-2000  }{\sqrt{900n}} = 1.65  \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0

By solving the equation:

n = 23

Thus, relating to the needed condition; n ≥ 23

The needed number of the components that should be in stock should be  at least 23.

5 0
3 years ago
Find the length of BC, in simplest radical form.
zubka84 [21]

9514 1404 393

Answer:

  BC = 16 +12√3

Step-by-step explanation:

In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.

EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.

The length BC is ...

  BC = EC +BE

 BC = 16 +12√3

8 0
3 years ago
Write the following fractions in decimal format.Hint: The numerator goes inside the division problem and the denominator goes ou
guajiro [1.7K]
2/4=0.5
7/8=0.875
0.25/0.625=0.4
0.06/0.10=0.6
6 0
3 years ago
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