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2 years ago

Using the triangle theorem solve this triangle.

Mathematics

2 answers:

timofeeve [1]2 years ago

4 0

Answer:

take 30 degree as reference angle

using sin rule

sin 30=p/h

1/2=8/h(do cross multiplication)

h*1=8*2

h=16

therefore hypotenuse (b)=16

now for base(a)

using cos rule

cos 30 =b/h

$\sqrt{3}$ /2=b/16(do cross multiplication)

b*2=16* $\sqrt{3}$

b=16 $\sqrt{3}$ /2

b=8 $\sqrt{3}$

b=13.85

b=13.9

Step-by-step explanation:

Blizzard [7]2 years ago

3 0

Answer:

8 and 8√3

Step-by-step explanation:

Sin90 = b/8

1 x 8 =b

b=8

Tan 30 = 8/a

1/√3 = 8/a

a=8√3

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A farmer has 400 feet of fencing she would like to use to make a rectangular enclosure. She would like to maximize the area of t

suter [353]

Answer:

100 feet would make the enclosure the longest

Step-by-step explanation:

The graph shows that at 100 feet the line is at its highest point.

7 0

2 years ago

This is my question -- solve x^2+5x+6=0

TiliK225 [7]

Answer:

x = -2,-3

Step-by-step explanation:

Solve the equation by factorizing.

To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.

This one is obvious, but for others you may use trial and error.

After finding the 2 numbers: 2 and 3.

Present them in this format:

(x+3) ( x+2) = 0

You may check if this is correct using the distribution method.

After this,

you have to solve it individually.

for example:

x+3 = 0

x = -3

x+2 = 0

x = -2.

Thus, x has 2 different values: -3, -2.

You may check this by substituting x with either of these values.

Please mark brainiest

5 0

2 years ago

In a test (+4) marks are given for every correct answers and (-3) marks are given for every incorrect answers 1) Tahiya answered

stealth61 [152]

Answer:

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

Step-by-step explanation:

Correct = +4

Incorrect = -3

1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:

$4*12-3I=40\\I=\frac{8}{3}\\I=2.67$

2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:

$4*5-3I=-14\\I=\frac{34}{3}\\I=11.33$

In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

4 0

3 years ago

Determine

Luden [163]

Answer:

$\mu_{x} = 64, \sigma_{x} = 12.83$

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu_{x} = \mu$ and standard deviation $\sigma_{x} = \frac{\sigma}{\sqrt{n}}$