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Ede4ka [16]
3 years ago
11

Find x Help ASAP ASAP

Mathematics
1 answer:
Blizzard [7]3 years ago
4 0

the given figure is a rhombus, so it's area =

\frac{1}{2}  \times \: d1 \times d2

where, d1 and d2 are diagonals of the rhombus,

and since, the diagnonals of rhombus bisects each other, the values of their diagonals are

(2 × x) and (2 × 15) =》2x and 30 respectively,

so, by finding the area using the given diagonals and equating it with the real area, we get :

=》

\frac{1}{2}  \times 2x \times 30 = 300

=》

x \times 30 = 300

=》

x =  \frac{300}{30}

=》

x = 10

so,

value of x = 10 units

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Distance between points (1,2) (4,3)
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3.1

Step-by-step explanation:

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Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

The hypotenuse is the side of the rhombus = 15 cm

One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12

You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

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That's the area of the rhombus.

The h= Area / b

b = 15

h = 216/15

h = 14.4

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3 years ago
The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers
hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable <em>X</em> is defined as the diameter of the pin and the random variable <em>Y</em> is defined as the diameter of the collar.

The distribution of <em>X</em> and <em>Y</em> is:

X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)

The random variables <em>X</em> and <em>Y</em> are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025

SD(Y-X)=\sqrt{0.00000025}=0.0005

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z

*Use a <em>z</em>-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0
3 years ago
How do you divide fraction (in the simplest form)
Sindrei [870]

Answer:

1/3 divided by 5/4

So we divide both the top by 3 and the bottom by 3 and so our final answer would be 4 over 7. So that's our simplified fraction

-------------

Invert and multiply:

Take the reciprocal of the divisor and multiply the dividend. The top and bottom are being multiplied by the same number. Since that number is the reciprocal of the bottom part, the bottom becomes one.

Find the biggest common number:

It could be said to be a "more correct" method. This is the correct way since, you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.

3 0
3 years ago
Read 2 more answers
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