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3 years ago

∠A and ∠B are complementary angles.

1 answer:

iogann1982 [59]3 years ago

3 0

Cos 52 = 0.6157

sin 42 = cos 48 = 2/3 (because 42 + 38 = 90 - complementary angles)

if tan 20,5 = 3/8 then tan 69.5 wil = 1 / 3/8 = 8/3

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The area of a circle = 64π. Find circumference.

Andrew [12]

Answer:

Area = 16π

Step-by-step explanation:

Area of a circle = πr^2

= 64π

= sqrt64

r = 8 because 8 × 8 is 64

Radius = 8

Now, use the circumference equation:

= 2πr

= 2π(8)

= 16π

4 0

2 years ago

Is the binomial a factor of the polynomial nominal function?

Sedbober [7]

The factors for given equation f(x)= $x^{3} +3x^{2} -25x-75$ .

(x-1) - No
(x-3) - No
(x+3) - Yes
(x-5) - Yes
(x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)= $x^{3} +3x^{2} -25x-75$ .

Add 0 at the end of the equation.

$x^{3} +3x^{2} -25x-75$ = 0.

Let us group the given equation,

$(x^{3} +3x^{2}) -(25x-75)$ =0.

⇒ Group 1: $x^{3} +3x^{2}$ .

Group 2: $- 25x +75$ .

Pull out factor from each group,

⇒ Group 1: $(x+3)(x^{2})$ .

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

$(x+3)(x^{2} -25)$ =0.

One of the factor is (x+3).

Other factors are solved by the formula, $a^{2}-b^{2} = (a+b) (a-b)$ .

$(x+3)(x^{2} -25)$ = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0

3 years ago

In a class, 42 students, there are 8 more boys than girls write and solve a system of 3 equations

zhenek [66]

Answer:

x = 17

Step-by-step explanation:

x + x + 8 = 42 because x = boys and x + 8 = girls

2x = 34 because 2x = 42 - 8

x = 17

i hope this helps! you don't need the 2x = 42 - 8 to be an equation ;)

8 0

3 years ago

The logarithmic expression ln(√e/y^3) can be rewritten as

kvv77 [185]

Answer:

$\dfrac{1 - 6 \ln y}{2}$

Step-by-step explanation:

$\ln \dfrac{\sqrt{e}}{y^3} =$

$= \ln \dfrac{e^\frac{1}{2}}{y^3}$

$= \ln e^\frac{1}{2} - \ln y^3$

$= \dfrac{1}{2} \ln e - 3 \ln y$

$= \dfrac{1}{2} - 3 \ln y$

$= \dfrac{1 - 6 \ln y}{2}$

6 0

2 years ago

Which answer choice ?

Snezhnost [94]

Answer:

the fourth one

Step-by-step explanation:

3 0

2 years ago