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Veronika [31]
3 years ago
10

Find cos(a) in the triangle.

Mathematics
1 answer:
pickupchik [31]3 years ago
7 0

{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ cos( \alpha ) = base \div hypotenuse \\  \\ base \:  =  \: 21 \\  \\ hypotenuse = 29 \\  \\ cos( \alpha ) = 21 \div 29 \\  \\ {\huge{\boxed{\mathfrak{\red{hope \: it \: helps \: }}}}}

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M is the midpoint of , cm = 2x + 3, and md = 3x – 6. what is cd? answer
wlad13 [49]
<span>If M is the midpoint of CD, CM = 2x+3 and MD = 3x-6, then:

MD = CM
3x - 6 = </span>2x + 3
3x - 2x = 3 + 6
x = 9

CM = 2x+3 = 2*9+3  18+3 = 21
MD = CM = 21
CD = CM + MD = 21 + 21 = 42
7 0
3 years ago
There are 18 oranges in box A and 36 in box B, what is the ratio of box A to box B
Nana76 [90]

Answer:

1 : 2

Step-by-step explanation:

Express the ratio as the number of oranges in each box, that is

box A : box B

= 18 : 36

Simplify the ratio by dividing both parts by 18, thus

ratio = 1 : 2 ← in simplest form

7 0
3 years ago
What is the perimeter of a regular hexagon having side-length 2.5 m?
Law Incorporation [45]

Answer:

15

Step-by-step explanation:

the equation would be p=6x where x is the side length.

8 0
3 years ago
Read 2 more answers
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
3 = q/11 i need it real quick
makkiz [27]

Answer:

q=33

Step-by-step explanation:

So we have:

3=\frac{q}{11}

Multiply both sides by 11:

11(3)=(11)\frac{q}{11}

The right side cancels:

11(3)=q

Multiply the left:

33=q

Thus, the value of q is 33.

7 0
3 years ago
Read 2 more answers
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