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3 years ago

A sector with a radius of 8 cm has a central angle measure of 225 degrees

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

10 is your r

Step-by-step explanation:

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Iodine-125 has a half-life of about 60 days. How many milligrams of a 1000 mg sample will remain after 240 days?

Tomtit [17]

240 days is 4 times the half-life, which means that a sample of 1000 mg will decay to

$\dfrac{1000}{2^4}=\dfrac{125}2=62.5\,\mathrm{mg}$

after 240 days.

3 0

3 years ago

SQUARE ROOT OF 25<br><br>THANKS

guapka [62]

Answer:

Step-by-step explanation:

The square roots of 25 are √25=5 and −√25=−5 since 52=25 and (−5)2=25 . The principal square root of 25 is √25=5 .

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3 years ago

Read 2 more answers

Calculate the unit price ($/g) of a 20g jar of sugar. The cost of a jar is $5.00.

BlackZzzverrR [31]

Answer:

$0.25/g

Step-by-step explanation:

20g --- $5.00

1g --- $\frac{1}{20}$ × $5.00 = $0.25

7 0

3 years ago

PLEASE HELP ME IM STRUGGLING!!!

Kitty [74]

Answer:

The required answer is $c=7\sqrt{3}$

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

$\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\$

Substituting the values we get

$\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7$

Now in Triangle ADC Tangent identity we have

$\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}$

Substituting the values we get

$\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}$

The required answer is $c=7\sqrt{3}$

8 0

3 years ago

A class of 32 students is organised in 33 teams every team consists of 3 students and there are no identical teams . show that t

Tresset [83]

Answer:

Step-by-step explanation:

Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).

The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.

The method is called the pigeon hole method.

6 0

3 years ago