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3 years ago

Given: Circumscribed ABCD, AB=5,AD=8, CD=10. Find: BC

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

Answer:

BC=7

Step-by-step explanation:

The circle can be circumscribed into the quadrilateral, if the sums of the opposite sides of the quadrilateral are eqaul.

Thus,

$AB+CD=AD+BC,\\ \\8+BC=5+10,\\ \\BC=15-8=7.$

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Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this chang

Leya [2.2K]

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

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3 years ago

A worker earns $100 every 8 hours. At this rate, how much will the worker earn in 36 hours?

patriot [66]

Answer:

The answer is $350

Step-by-step explanation:

00 = 8 hours

28/8 = 3.5

3.5(100) = 350

The worker would earn $350 in 28 hours

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4 years ago

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When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Westkost [7]

You write 100 as the denominator because 100 represents a whole whereas the numerator normally represents a percentage. Hope this helps!

3 0

3 years ago

If a ratio is 4:5, how many parts are there in total?

hjlf

<h2>♣️ANSWER♣️</h2>

<h2>9 parts in total</h2>

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2 years ago

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Which of the following is the balance for a single $3,200 deposit in an account with an APR of 2.6% that compounds interest quar

Flauer [41]

Answer:

$FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590$

Step-by-step explanation:

For this case we can use the formula for the future value with compound interest given by:

$FV= P (1+\frac{r}{n})^{nt}$ (1)

For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.

r represent the rate =0.026

t = 6 represent the number of years

P = 3200 represent the amount invested at the begin

If we apply the formula (1) we got:

$FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590$

So then the balance after 6 years would be approximately 50995 with the conditions provided.

7 0

3 years ago