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3 years ago

7

excavation scientists excavating a dinosaur mapped the site on a coordinate plane. if one bone lies from (-5,8) to (10,-1) and a

second bone lies from (-10,-3) to (-5,-6) are the bones parallel ? explain

1 answer:

Scilla [17]3 years ago

8 0

Answer:

QRTYUIOWEP

Step-by-step explanation:

ASZXCVBNMDFGHJKLÑ

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Help with this volume problem? (please include how you got the answer) will give brainlyest

Kay [80]

Answer:

35.28 m

Step-by-step explanation:

Formula for volume of pyramid:

$V=b^2\frac{h}{3}$

Therefore since,

base - 4.2 m

height - 6 m

Then,

$V=4.2^2\frac{6}{3}$

$V=35.28m$

<u><em>Kavinsky</em></u>

6 0

1 year ago

Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!

iris [78.8K]

Answer to Question 1:

<OGE (also m˚) = 19˚

Step-by-step explanation:

We know that all the angles in a triangle add up to 180˚.

<u>Given:</u>

<EGO = 71˚

<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)

<u>To Solve:</u>

⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:

71˚ + 90˚ + <OGE = 180˚

⇒ Solve for <OGE by simplifying:

161˚ + <OGE = 180˚

⇒ Subtract 161˚ from both sides to get:

161˚ − 161˚ + <OGE = 180˚ − 161˚

⇒ Isolate <OGE:

<OGE = 19˚

<u>Answer:</u> <OGE (also m˚) = 19˚

Answer:

<OAC (also x˚) = 50˚

<OCB (also y˚) = 90˚

Step-by-step explanation:

–<u>How to solve for <OCB (also y˚)</u>

Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.

<u>Answer:</u> <OCB (also y˚) = 90˚

–<u>How to solve for <OAC (also x˚)</u>

<u>Given (and what we can already know):</u>

<AOC = 40˚

<OCA = 90˚

⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.

<u>To Solve:</u>

⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:

40˚ + 90˚ + <OAC = 180˚

⇒ Solve for <OAC by simplifying:

130˚ + <OAC = 180˚

⇒ Subtract 130˚ from both sides to get:

130˚ − 130˚ + <OAC = 180˚ − 130˚

⇒ Isolate <OAC:

<OAC = 50˚

<u>Answer:</u> <OAC (also x˚) = 50˚

I hope you understand and that this helps with your question! :)

3 0

3 years ago

The penguin nursery is open two times a day: 2/3 hour at noon and 5/12 hour in the afternoon. How much time is the penguin nurse

Molodets [167]

Answer: The answer is $1\dfrac{1}{12}~\textup{hours}.$

Step-by-step explanation: Given that the penguin nursery is open two times in a day, where the number of hours open at the noon and afternoon are respectively given by

$t_n=\dfrac{2}{3}~\textup{hour},\\\\t_a=\dfrac{5}{12}~\textup{hour}.$

Therefore, the total number of hours 't' penguin nursery open every day is given by

$t=t_n+t_a=\dfrac{2}{3}+\dfrac{5}{12}=\dfrac{8+5}{12}=\dfrac{13}{12}=1\dfrac{1}{12}~\textup{hour}.$

Thus, the answer is

$1\dfrac{1}{12}~\textup{hours}.$

5 0

3 years ago

Read 2 more answers

Kat sold cell phones for $60. She increased the price by 100%. What is the new price of the cell phones?

ki77a [65]

The new price would be $120

5 0

3 years ago

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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%

Hitman42 [59]

Answer:

Amount of vinegar. 100% : 20 milliliters

Amount of Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of vinegar. 100%

Let's call B the amount of Italian dressing . 12% vinegar

The resulting mixture should have 23% vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

$A + B = 160$

Then the total amount of pure antifreeze in the mixture will be:

$A + 0.12B = 0.23 * 160$

$A + 0.12B = 36.8$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

$-A -B = -160$

$-A -B = -160$

+

$A + 0.12B = 36.8$

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

$-0.88B = -123.2$

$B = \frac{-123.2}{-0.88}$

$B = 140\ milliliters$

We substitute the value of B into one of the two equations and solve for A.

$A + 140 = 160$

$A = 20\ milliliters$

7 0

3 years ago