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3 years ago

7

The perimeter of a triangle is 27 inches. The second side is 3 inches longer than the first side and the third side is twice as

long as the first side. How long is each side?

1 answer:

Angelina_Jolie [31]3 years ago

3 0

Divided 27 inches by the length of each side.

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Verify the identity<br><br>

Oxana [17]

Answer:

see below

Step-by-step explanation:

sin x 1

------------------- = -----------

sec^2 x - tan ^2 x csc x

Sec = 1/cos and tan = sin/cos

sin x 1

------------------- = -----------

1/ cos ^2 x -sin^2/cos ^2 x csc x

Factor the denominator

sin x 1

------------------- = -----------

(1-sin^2 x)/ cos ^2 x csc x

We know that 1 - sin^2 x = cos ^2

sin x 1

------------------- = -----------

(cos^2 x)/ cos ^2 x csc x

sin x 1

------------------- = -----------

1 csc x

Multiply the top and bottom of the left hand side by 1/ sin x

sin x * 1/ sin x 1

------------------- = -----------

1 * 1 sin x csc x

1 1

------------------- = -----------

1 sin x csc x

We know that 1/sin x = csc

1 1

--------- = -----------

csc (x) csc x

3 0

3 years ago

a stone falls from a ledge and takes 8 seconds to the hit the ground. the stone has an original velocity of 0 m/s. how tall is t

Verizon [17]

Using equation of motion.

S = ut + (1/2)gt²

Where S = Height, t = time, g = acceleration due to gravity = 9.8 m/s²

time, t = 8 seconds

Since it was dropped from height, initial velocity, u = 0

S = 0*t + (1/2)gt²

S = (1/2)gt²

S = (1/2)*9.8*8² = 4.9 * 8 * 8 = 313.6

Therefore the ledge is 313.6 m tall.

6 0

3 years ago

Read 2 more answers

Seth wants to find out if students at Hillsboro High School go to the football games. He decides to take a sample rather than as

Sergio [31]

Answer:

c & e

Step-by-step explanation:

not sure tho

3 0

4 years ago

(image) The figure below is an isosceles triangle surmounted by a semi-circle. Find the area of the entire region.

S_A_V [24]

Answer:

12.53

Step-by-step explanation:

∠BCA = (180°-40°)/2 = 70°

Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°

CA = 5/sin 70° * sin 40° = 3.40

area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54

By Heron's Formula, area of triangle ABC:

1/4 √(a+b+c) (a+b-c) (b+c-a) (c+a-b) = 1/4 * √13.4*3.4*3.4*6.6

= 7.99

Entire region area = 4.54 + 7.99 = 12.53

5 0

2 years ago

Yolanda has 2 granola bars. Each serving is of a bar of granola.

RSB [31]

The model of the granola bars is an illustration of <em>ratios and proportions</em>.

The model that shows the total serving is model A

The given parameters are:

$\mathbf{Bars = 2}$

$\mathbf{Serving = \frac{2}{5}}$

So, the number of servings in both bars is:

$\mathbf{Total = Bars \div Serving}$

Substitute 2 for Bars and 2/5 for Servings

$\mathbf{Total = 2 \div \frac{2}{5}}$

Express as multiplication

$\mathbf{Total = 2 \times \frac{5}{2}}$

$\mathbf{Total = \frac{10}{2}}$

$\mathbf{Total = 5}$

The total number of servings is 5

The model that shows a total serving of 5 is model A (see attachment)

Read more about ratios and proportions at:

brainly.com/question/7810782

6 0

3 years ago