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3 years ago

Find side b if side a = 10 inches and side c = 16 inches.Round to the nearest hundredth if the answer is uneven

1 answer:

6 0

This uses the Pythagorean Theorem, which is a^2 + b^2 = c^2 . All you need to do is switch that formula around and you can get the answer easily.

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = 156

b= 12.489, or 12.49 rounded

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I need help SHOW YOUR WORK

earnstyle [38]

Answer:

$F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6}$

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

$\displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2}$

recall law of exponent

$\displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn}$

to simplify:

$\displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )$

simplify multiplication:

$\displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )$

distribute:

$\displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6}$

hence our answer is F

5 0

2 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0

3 years ago

How to determine whether to move right or left on the number line when adding rational numbers?

Vedmedyk [2.9K]

So if you're adding two negatives you move left, positive you move right, and when you have to determine a negative, and a positive you just have to see which one is the farthest from zero which the farthest one's sign is either positive, or negative. Positive to move right, and negative to move left.

7 0

3 years ago

Write the equation of the line passing through the (1,-2)

AleksAgata [21]

Theres information missing in the question. There should be one more pair of coordinates

8 0

3 years ago

Write an explicit formula for the recursive formula <br><br> A(n) = A(n - 1) + 3; A(1) = 6

arsen [322]

Answer:

$a_{n}$ = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

$a_{n}$ = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

7 0

2 years ago