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2 years ago

10

In January, Angelina made one deposit of $90 to her savings account and made 3 withdrawals of $40 each. What was the total chang

e in the amount of money in Angelina's account in January?

2 answers:

storchak [24]2 years ago

8 0

210 is the answer. your welcom

Anna71 [15]2 years ago

5 0

So 90 - (40*3) right ?

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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:

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

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2 years ago

Read 2 more answers

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105

Dafna1 [17]

I believe the answer is .09625 hours

Explanation: first you do 2.2 x 105= 231
Then you do 231/40=5.775 to get how many minutes it takes to type 231 words. Then u divide 5.775/60 to get how many hours it would take.

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2 years ago

Which statement does NOT correctly compare silicon with another element? A) Silicon is a better conductor of electricity than su

Vesna [10]

Answer:

Step-by-step explanation:

Silicon is a member of Group 14 (IVA) in the periodic table. The periodic table is a chart that shows how chemical elements are related to one another. Silicon is also part of the the carbon family. Other carbon family elements include carbon, germanium, tin, and lead. Silicon is a metalloid, one of only a very few elements that have characteristics of both metals and non-metals.

Silicon is the second most abundant element in the Earth's crust, exceeded only by oxygen. Many rocks and minerals contain silicon. Examples include sand, quartz, clays, flint, amethyst, opal, mica, feldspar, garnet, tourmaline, asbestos, talc, zircon, emerald, and aquamarine. Silicon never occurs as a free element. It is always combined with one or more other elements as a compound.By the early 1800s, silicon was recognized as an element. But chemists had serious problems preparing pure silicon because it bonds (attaches) tightly to oxygen. It took chemists many years to find out how to separate silicon from oxygen. That task was finally accomplished in 1823 by Swedish chemist Jons Jakob Berzelius (1779-1848).

Silicon's most important application is in electronic equipment. Silicon is one of the best materials from which to make transistors and computer chips. The total weight of silicon used for this purpose is relatively small. Much larger amounts are used, for example, to make metal alloys. An alloy is made by melting and mixing two or more metals. The mixture has properties different from those of the individual metals.

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2 years ago

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Which sets of ordered pairs represent functions from A to B? (Select all that apply.) A = {a, b, c} and B = {3, 4, 5, 6}

sesenic [268]

Answer:

See Explanation

Step-by-step explanation:

<em>The question has mission options; However, the question is still solvable.</em>

Given

$A = \{a,b,c\}$

$B = \{3,4,5,6\}$

Required

Determine possible ordered pairs of A to B

A function is of the form (x,y)

Let A be the range of the function and B, the domain

Let (x,y) be a function of A to B, where x represents any of the values in A sets and y represents any of the values in B

A ordered pair can only be regarded as a function if and only if it has unique y-values

Hence, a possible ordered pair is:

$(A,B) = \{(a,3),(b,4),(c,5)\}$

Another possible ordered pair is

$(A,B) = \{(a,4),(b,5),(c,6)\}$

<em>Note that there as as many as possible ordered pair as long as the y-values are unique</em>

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2 years ago

Two numbers have the ratio 7:5. Their difference is 12.Find the numbers.<br><br>

cupoosta [38]

Answer:

42 and 30

Step-by-step explanation:

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