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Andreyy89
3 years ago
5

Need help fast plz for my pre calc exam

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

c^2=a^2+b^2-2ab\cos x

Since we know the values of all three side lengths, we solve the equation for x:

\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}

For the triangle ABC in the image, a=10, b=15, c=13, thus:

\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}

\displaystyle \cos A=\frac{156}{300}

\displaystyle \cos A=0.52

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

\displaystyle \sin 58.67^\circ=\frac{h}{10}

Solving for h:

h = 10\sin 58.67^\circ

h = 8.54 units

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Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation f
mina [271]

Answer:

Orchestral\ Time = \frac{3}{10}\ hour

Step-by-step explanation:

Given

Time = 1\ hour

Musical\ Pieces = \frac{3}{4}\ hour

Practicing\ Sales = \frac{1}{4}\ hour

Orchestral = \frac{2}{5} of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = \frac{2}{5} of music practice time

Substitute \frac{3}{4}\ hour for music practice time.

So, we have:

Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour

Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour

Orchestral\ Time = \frac{3}{10}\ hour

7 0
3 years ago
A computer and printer cost a total of $939. The cost of the computer is two times the cost of a printer. Find the cost of each
nika2105 [10]

Answer: P=313 and C=626


Step-by-step explanation:

939=2x+x

939=3x

313=x Printer is 313 and computer is 626

626+313=939

3 0
3 years ago
Is there a difference in the number of people who have an Annual pass to Disney World comparing people who live in Florida to th
zlopas [31]

Answer:

Fail to reject the null hypothesis.

Step-by-step explanation:

People who live in Florida and also have annual pass to Disney world is 221, sample size selected for group 1 is 350.

People who do not live in Florida and have annual pass to Disney world is 365, sample size selected for Group 2 is 650.

Group 1 sample proportion is : 221 / 350 = 0.6314

Group 2 sample proportion is 365 / 650 = 0.5615

Test statistics is 0.8317

Since test stats value is greater than the sample proportion significance level, we fail to reject the null hypothesis.

6 0
3 years ago
Please help! will give 30 points!
insens350 [35]

Answer:

Other needs =25,2 degrees

insurance = 100,8 degrees

Taxes= 7,2

Housing = 57,6

food= 57,6

childcare = 64,8

transportation = 46,8

Step-by-step explanation:

Its % of 360 degrees so you have to calculate the percentage of each categorie on 360 degrees to find the angles. Exemple, for the Other needs, you take 7% out of 360 degrees and you find that it is equal to 25,2. (7% x360 degrees /100)

7 0
3 years ago
In B E C, F is the centroid, and AC = 12. Find A F and F C
klemol [59]

bearing in mind that the centroid in a triangle cuts each of the three medians in a 2:1 ratio.

since we know that A C = 12, let's split it in a 2:1 ratio then, cleary from the picture the larger is F C, so F C : A F is on a 2:1 ratio.

\bf A C=A F+F C\qquad \qquad \cfrac{F C}{A F}=\cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{12}{2+1}}{1\cdot \frac{12}{2+1}}\implies \cfrac{2\cdot 4}{1\cdot 4}\implies \cfrac{8}{4}

4 0
3 years ago
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