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Rzqust [24]
3 years ago
14

Find the value of the missing angles?

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Angles along a straight line equal 180. This means that the unmarked angle of the triangle is equal to (180-153)=27.

Angles in a triangle add to 180. This means:

(x-4)+(2x+10)+27=180

3x+33=180

3x=147

x=49

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
2 years ago
According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales wei
never [62]

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = 3\times10^5\text{ pounds}

Weight of Narwhal = 2\times10^3\text{ pounds}

Number of times blue whale's weight  is heavier than the narwhal's weight = =\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}

=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

5 0
2 years ago
Which rule yields the dilation of the figure QRST centered at the origin?
denis-greek [22]

A) (x, y) → (3x, 3y)

<h2>Explanation:</h2>

When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:

  • If k > 1, the object will be larger than the original one.
  • If k < 1, the object will be smaller than the original one.

If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.

The only option that meets this requirement is:

A) (x, y) → (3x, 3y)

Whose scale factor is k = 3 making the dilated figure larger than the original one.

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

5 0
3 years ago
8minus 2n +3p has how many terms
Sunny_sXe [5.5K]

Answer:

It has two terms.

Step-by-step explanation:

4 0
2 years ago
What is 10000 more than 46952 and what is the missing<br> number
Morgarella [4.7K]
10000 more than 46952 is 56952
3 0
3 years ago
Read 2 more answers
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