4. Write -4.83 as a mixed number. what is 8.3 in its simplest form

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

-4 83/100 8 3/10

Step-by-step explanation:

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What is the perimeter of triangle PQR? Show your work.

xxMikexx [17]

Answer:

The perimeter of triangle PQR is 17 ft

Step-by-step explanation:

Consider the triangles PQR and STU

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU (Given)

3. QR ≅ TU = 6 ft (Given)

Therefore, the two triangles are congruent by SAS postulate.

Now, from CPCTE, PR = SU. Therefore,

$3y-2=y+4\\3y-y=4+2\\2y=6\\y=\frac{6}{2}=3$

Now, side PR is given by plugging in 3 for 'y'.

PR = 3(3) - 2 = 9 - 2 = 7 ft

Now, perimeter of a triangle PQR is the sum of all of its sides.

Therefore, Perimeter = PQ + QR + PR

= (4 + 6 + 7) ft

= 17 ft

Hence, the perimeter of triangle PQR is 17 ft.

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3 years ago

A leading bank is coming up with an investment that pays 8 percent interest compounded semiannually. What is the investment's ef

uranmaximum [27]

The effective rate is calculated in the following way:
$r = {(1 + \frac{i}{n} )}^{n} - 1$
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
$r = {(1 + \frac{8\%}{2}) }^{2} - 1 \\ r = {(1 + \frac{1}{25}) }^{2} - 1 \\ r = \frac{676}{625} - 1 \\ r = 0.0816 \: or \: 8.16\%$

5 0

3 years ago

Show your work<br> −17x = −204

pishuonlain [190]

You would divide -204 divide it by -17 and you would get 12
X=12

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3 years ago

Raj used 4 3/4 cups of sugar for each batch of muffins. He made 3 1/2 batches. Raj used 16 5/8 cups of sugar altogether.

saul85 [17]

Answer:

It is true!

Step-by-step explanation: