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2 years ago

In circle A shown below, the measure of ∠BAD is 148°:

Mathematics

2 answers:

zimovet [89]2 years ago

5 0

Answer:

Step-by-step explanation:

Remember that the subtended arc of a central angle has equal measure.

So, in this case the angle is 148°, that means the arc BD is 148°.

Now, if arc BC is 105°, it means the measure of arc CD is the difference

$arc(CD)=148\°-105\°=43\°$

Therefore, the right answer is 43°.

Bond [772]2 years ago

3 0

43 i alredy learned that in school

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The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t

alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

$C'(t) = 0$

In this problem

$C(t) = \frac{100t}{t^{2} + 25}$

Applying the quotient derivative formula

$C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}$

A fraction is equal to zero when the numerator is 0. So

$-100t^{2} + 2500 = 0$

$100t^{2} = 2500$

$t^{2} = 25$

$t = \pm \sqrt{25}$

$t = \pm 5$

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0

2 years ago

40 was divided by a particular number then 11 was taken from the quotient. Afterwards this difference was multiplied by 5.Giving

Vika [28.1K]

Answer:

Step-by-step explanation:

3 0

2 years ago

The points (-8, -4) and (0, 2) are endpoints of a diameter of a circle. Identify the standard equation of the circle.

Mariana [72]

Answer:

the first one i think im not 100% sure havent worked on this much

Step-by-step explanation:

3 0

1 year ago

Dylan and his children went into a grocery store and where they sell peaches for $1 each and mangos for $0.50 each. Dylan has $1

Lapatulllka [165]

Answer:

8 mangoes

Step-by-step explanation:

1) lets create 2 systems of inequalities

where m=# of mangoes

p=# of peaches

so m+p≥15 and 1m+0.5p≤15

lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:

m+(13)≥15

subtract "13" from both sides:

m≥2

now we substitute "13" in the other inequality:

m+0.5(13)≤15

m+6.5≤15

subtract 6.5 from both sides:

m≤8.5

m≥2 and m≤8.5

seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)

hope this helps!

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2 years ago

Which property is this example (1+2)+3=1+(2+3)

Paladinen [302]

Answer

Associative property of addition

Step-by-step explanation:

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2 years ago