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3 years ago

I really need help, please

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

C: $\frac{5}{2} + \frac{1}{2} i$

Step-by-step explanation:

Did this through my TI-89 calculator. ^^

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Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?

serg [7]

Answer:

56.548667764616276

Step-by-step explanation:

Multiply the diameter by pi.

C= 18 x 3.14159265

Hope this helps!

7 0

3 years ago

Draw a model to help solve 5/6 + 1/4. Write your anserw as a mixed number

deff fn [24]

Answer:

Step-by-step explanation:

7 0

2 years ago

The sum of 5 times a number and <br> minus −2, plus 7 times a number

Olenka [21]

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.

Then five times the number = 5*x

Seven times the number = 7*x

Sum of 5 times the number minus -2 = $5*x - (-2)$ = $5x +2$

Adding seven times the number to this expression yields, $5x+2+7x$

$= (5+7)x+2$

$= 12x+2$

So the simplified expression corresponds to 12x + 2.

6 0

3 years ago

Use linear approximation to estimate f (2.85 )given that f (3 )equals 2 and f prime (3 )equals 5.

Allisa [31]

Answer:

Step-by-step explanation:

Given that,

f(3) = 2

f'(3) = 5.

We want to estimate f(2.85)

The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".

At x = a, y = f(a) and the slope of the tangent line is f'(a).

So, in point slope form, the tangent line has equation

y − f(a) = f'(a)(x − a)

The linearization solves for y by adding f(a) to both sides

f(x) = f(a) + f'(a)(x − a).

Given that,

f(3) = 2,

f'(3) = 5

a = 3, we want to find f(2.85)

x = 2.85

Therefore,

f(x) = f(a) + f'(a)(x − a)

f(2.85) = 2 + 5(2.85 - 3)

f(2.85) = 2 + 5×-0.15

f(2.85) = 2 - 0.75

f(2.85) = 1.25

5 0

3 years ago

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

sineoko [7]

Formula of the Volume of a hemisphere:
V = $\frac{2}{3}$ $\pi$ r³
144 $\pi$ = $\frac{2}{3}$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$\frac{432 \pi }{2 \pi }$ = $\frac{2 \pi }{2 \pi }$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

8 0

3 years ago