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lyudmila [28]
3 years ago
13

**BRAINLIEST IF ANSWERED***

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

(D)7 in.

Step-by-step explanation:

A regular hexagon can be divided into six equilateral triangles.

Therefore:

b=\dfrac{c}{2}

Applying Pythagoras Theorem

c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.

Recall that b=c/2

Therefore:

b=4\sqrt{3} \approx 7$ in.

The value of b is 7 inches.

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Answer:

Here's what I get  

Step-by-step explanation:

The atomic model before Chadwick

J. J. Thomson had discovered the electron in 1897 and Rutherford discovered the proton in 1912.  

So, in the 1920s, scientists thought that a helium atom (₂⁴He), for example, consisted of four protons,  two electrons orbiting the nucleus, and another two electrons in the nucleus to balance the charge.  

In 1932, Irène and Frédérick Joliot-Curie discovered that when α particles hit a Be target, a strange radiation was emitted that could knock protons out of paraffin. They thought it was some type of high-energy X-rays  

Chadwick's experiment

Chadwick thought the radiation consisted of particles, not X-rays. He repeated the Curie's experiment and carefully measured the velocities of the scattered protons.

Using the Laws of Conservation of Energy and Momentum, he calculated that the radiation hitting the paraffin must consist of neutral particles with a mass slightly greater than that of a proton.

Chadwick had discovered the neutron.

The atomic model after Chadwick

Chemistry now made more sense. A helium atom now consisted of two electrons orbiting a nucleus containing two protons and two neutrons. There was no need to have electrons in the nucleus.

3 0
3 years ago
A person sitting in the top row of the bleachers at a sporting event drops a pair of sunglasses from a height of 24 feet. The fu
jolli1 [7]
Well here's my work:
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3 0
3 years ago
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slega [8]

Answer:

3

Step-by-step explanation:

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3 0
3 years ago
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c) The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer.
Anni [7]

Answer: There is 0.014 proportion of connectors fail during the warranty period.

Step-by-step explanation:

Let A be the event that connector fails.

Let B be the event that connector wet.

P(B) = 10%

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P(A|B) = 0.05

P(A|B') = 0.01

So, we need to find the proportion of connectors fail during the warranty period is given by

P(A)=P(B)P(A|B)+P(B')P(A|B')\\\\P(A)=0.1\times 0.05+0.9\times 0.01\\\\P(A)=0.014

Hence, there is 0.014 proportion of connectors fail during the warranty period.

3 0
3 years ago
Which equation does the graph below represent?
Svetllana [295]
It represents y = -3x
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2 years ago
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