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3 years ago

389,422 round up to the nearest hundred thousand

Mathematics

1 answer:

VikaD [51]3 years ago

6 0

400,000 is the answer. have a wonderful day human being!

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50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

3 years ago

Read 2 more answers

Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How

lisabon 2012 [21]

Answer: -6

Step-by-step explanation: It changed -6 each round because -6x3=-18.\

Hope this helped!

5 0

3 years ago

I need help on this

sveta [45]

Answer:

Step-by-step explanation:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

The graph represents the relation, but not a function.

This is relation, because it defines the rule for each some such, that the ordered pair (x,y) lies on the graph.

This is not a function, because for all input values of x (excluding x=3) we can find two different output values of y.

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3 years ago

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A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend.

Luba_88 [7]

Answer:

1.50x-75=10

Step-by-step explanation:

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3 years ago

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An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.

Bogdan [553]

All you have to do is divide 190 liters by 3.8 liters. To get the calculated amount of gallons.

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3 years ago

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