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3 years ago

I need help with this!

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

|12| ÷ 2 • |-5|
= 12 ÷ 2 • 5
= 6 • 5
= 30
Absolute values just make the number positive if it is negative. The number stays positive if it’s positive.

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If you sleep 33% in a day, how many hours is that?

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We know that
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Find the measure of b. (Explain how you found it please!)

Allisa [31]

Answer:

125 deg

Step-by-step explanation:

Keep these three rules in mind:

1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.

2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.

3) Opposite angles of a rectangle inscribed in a circle are supplementary.

110 deg is a central angle.

By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.

a is an inscribed angle that intercepts an arc of 110 deg.

By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.

angle a measures 55 deg.

Rule 3) Angles a and b are supplementary.

a + b = 180

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2 years ago

Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu

pychu [463]

Answer:

Janice and Karen could do in 1 day:

20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

3 persons ⇒ 3 1/3 days or 10/3 days
1 person ⇒ x

Then:

$x=\frac{1 person*\frac{10}{3}days }{3 persons}$ (we cancel the unit "persons")
$x=\frac{\frac{10}{3}days }{3}$
x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

Time to complete a job between 2 persons = $\frac{10}{2}days$
Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

5 days ⇒ 100% of a job
1 day ⇒ x

Then:

$x=\frac{1*100}{5}$ (you can use the % if you want, the result is the same)
$x=\frac{100}{5}$
$x=20$

As you can see, Janice and Karen just in a day could do 20% of the job.

3 0

3 years ago