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Wewaii [24]
3 years ago
6

Can someone please help me? I'm stuck. P.S. correct answer will get brainliest.

Mathematics
2 answers:
Murljashka [212]3 years ago
5 0

Answer:

Solution given:

1.AB=BC. definition of isosceles ∆

2.AD=DC. definition of median

3.BD=BD reflexive

4.∆ADB=∆ CDB S.S.S.axiom

Lesechka [4]3 years ago
4 0

Answer:

<u>Statement               | Reason</u>

1. AB = CB               | Definition of isosceles triangle

2. AD = CD              | Definition of median

3. BD = BD               | Reflexive property

4. ΔADB ≅ ΔCDB    | SSS (Side-side-side)

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Find the area please
tatuchka [14]

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2} bh

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

\displaystyle A = \frac{1}{2} xy

We can write the following ratios:

\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}

Solve for <em>x</em> and <em>y</em>:

\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha

Substitute:

\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)

And simplify. Hence:

\displaystyle A = 72\sin \alpha \cos\alpha

In conclusion, our answer is D.

6 0
3 years ago
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece
nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that \sigma = 10

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{10}{\sqrt{n}}

\sqrt{n} = 1.96*10

(\sqrt{n})^2 = (1.96*10)^2

n = 384.16

Rounding up:

A sample size of 385 is needed.

7 0
3 years ago
Henlo can i get a debate on wether the furry fandom deseves all the hate it gets or if it should be more appreciated as a fandom
horsena [70]

Answer:

well bcs we cool so appreciated <3 periodTH lolz

Step-by-step explanation:

6 0
3 years ago
Plz help with these 2 questions and thx !
sweet [91]

Answer:

The first is 18.

The second is less than (<).

Step-by-step explanation:

Hope this helps <3

6 0
3 years ago
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The small cylinder can fill the big cylinder to a height of 5cm. The small cylinder has a diameter of 9cm and a height of 17cm.
Rzqust [24]

Answer:

8.3 cm

Step-by-step explanation:

1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)

π(4.5²) · 17 = 1080.945 cm³

2. Set up the equation to find the volume of the big cylinder

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r² = 68.85

5. Square root both sides

r = 8.3 cm (rounded to the nearest tenth)

4 0
3 years ago
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