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3 years ago

The diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters. what is the length of one side of the rhombus

1 answer:

5 0

Diagonals of a rhombus are perpendicular and bisect each other. This means this rhombus is composed of four right triangles with legs of length 6 cm and 8 cm, with their hypotenuses forming the perimeter of the rhombus. The Pythagorean theorem a^2+ b^2 = c^2 can be used to find the length of the hypotenuse. 6^2+8^2 = 36+64 = 100. The square root of 100 is 10, so the length of a side of the rhombus is 10 cm.

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pshichka [43]

Answer:

I think it is C

Step-by-step explanation:

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3 years ago

A drawer contains 12 brown socks, 8 white socks, and 2 blue socks. One sock is selected at random.

Katyanochek1 [597]

Answer:

1/11

Step-by-step explanation:

12 + 8 + 2

22 / 2

1/11

There is always a pair of socks... A pair is 2. Add everything and divide it.

Hope this helps....

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4 years ago

Read 2 more answers

Write the expression 44(4–7)(4) using a single exponent.

Ghella [55]

<h3>The given expression as single exponent is:</h3>

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

Solution:

Given expression is:

$4^4 \times 4^{-7} \times 4$

In exponents,

When the base is same, exponents can be added

Which means,

$a^m \times a^n = a^{m+n}$

Therefore,

$4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}$

Thus the given expression as single exponent is:

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

8 0

3 years ago

Read 2 more answers

Part B A different student claims that the expression 59.2xy is equivalent to the teacher’s expression. The student’s reasoning

nadya68 [22]

Answer:

I think the part he has correct is when they are equal because they intersect at a coordinate, but, he is incorrect because the teacher's expression could be different

Step-by-step explanation:

8 0

3 years ago

The route used by a certain motorist in commuting to workcontains two intersections with traffic signals. The probabilitythat he

zavuch27 [327]

Answer:

a) 0.2

b) 0.2

c) 0.5

Step-by-step explanation:

Let $S$ be the event "the car stops at the signal.

In the attached figure you can see a tree describing all possible scenarios.

For the first question the red path describes stopping at the first light but not stopping at the second. We can determine the probability of this path happening by multiplying the probabilities on the branches of the tree, thus

$P(a)=0.4\times0.5=0.2$

For the second one the blue path describes the situation

$P(b)=0.4\times 0.5=0.2$

For the las situation the sum of the two green path will give us the answer

$P(c)=0.6\times 0.5 + 0.4\times 0.5=0.3+0.2=0.5$

7 0

4 years ago

Read 2 more answers