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Thepotemich [5.8K]
3 years ago
15

PLEASE SHOW WORK !!!

Mathematics
1 answer:
Fed [463]3 years ago
3 0
For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
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3 0
3 years ago
The cost y (in dollars) to rent a camping tent is proportional to the number x of days that the tent is rented. It costs $56 to
sleet_krkn [62]
This is the concept of algebra, we solve the question as follows:
The cost of renting a camping tent is y
The number of days is x
cost is proportional to number of days, thus:
yαx
y=kx
where k is the constant of proportionality.
If y=$56 when x=7 days, then:
56=7k
hence:
k=56/7=8
therefore:
y=kx will be:
y=8x
the equation in slope intercept form which is y=mx+c is y=8x. In our case c=0 because there was no initial payments required to rent apart from the daily charges.
7 0
3 years ago
Find the area of the figure
Aleonysh [2.5K]

the correct answer is 3249 sorry i took so long

6 0
3 years ago
Read 2 more answers
A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x
Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

6 0
3 years ago
Amanda and jamie are standing 25 feet apart and spot a bird in the sky between them the angle of elevation from Amanda is 25 fee
finlep [7]

Answer:

25.2294 feet

Step-by-step explanation:

We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).

First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:

y + 55 + 63 = 180

y = 62°

The relation between the angles and the distances are:

25 / sin(y) = x / sin(63)

25 / 0.8829 = x / 0.8910

x = 25 * 0.8910 / 0.8829 = 25.2294 feet

4 0
3 years ago
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