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2 years ago

Line segment EF is shown on the coordinate grid:

Mathematics

2 answers:

Masja [62]2 years ago

6 0

Answer:

im guessing C

Step-by-step explanation:

I dont have this exam let me know is I'm right

kati45 [8]2 years ago

6 0

ANSWER:⇒ G’H’ is the same length as GH

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Which expression is equivalent to 4(3+5) - 3 ⋅ 92?

Serhud [2]

4(8) - 3 • 81
The first one

4 0

2 years ago

Read 2 more answers

The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241

geniusboy [140]

<h2>Answer: 816 years</h2>

This problem can be solved using the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=2.7g$ is the final amount of the material

$A_{o}=10g$ is the initial amount of the material

$t$ is the time elapsed (the quantity we are asked to find)

$h=432y$ is the half life of americium-241

Knowing this, let's find $t$ from (1):

$2.7g=(10g).2^{\frac{-t}{432y}}$

$\frac{2.7g}{10g}=2^{\frac{-t}{432y}}$

$0.27g=2^{\frac{-t}{432y}}$

Applying natural logarithm in both sides:

$ln(0.27g)=ln(2^{\frac{-t}{432y}})$

$-1.309=-\frac{t}{432y}ln(2)$

$-t=\frac{(-1.309)(432y)}{0.693}$

Finally:

$t=816y$

3 0

2 years ago

If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?

monitta

Correct answer for the above question is - option B. 86°

Step-by-step explanation:

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Angle POQ is 86°

Thus we can conclude option B as correct answer.

3 0

2 years ago

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

eimsori [14]

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

Find the area of the base B

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

8 0

2 years ago

Find the value of x. View picture for full problem. Please and thank you! m<2 = 6x + 12.

Karo-lina-s [1.5K]

Answer:

x = 8

Step-by-step explanation:

All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

4 0

2 years ago