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2 years ago

What is the value of angle K to the nearest What is the value of angle K to the nearest tenth?

Mathematics

1 answer:

Nina [5.8K]2 years ago

6 0

Answer:

$Cos K = \frac{adjacent}{opposite} = \frac{5}{6}\\\\K = Cos^{-1}(\frac{5}{6} ) = 33.557\\K= 33.6$

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Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i

aksik [14]

Answer:

its gonna be the second one down on the left!! i can give an explanation if ur having trouble

Step-by-step explanation:

6 0

2 years ago

Find the composite function (please help)

anastassius [24]

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Composite Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

Step 2: Find Composite Function

Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
Evaluate: (f o h)(x) = 2(12 - 5x) + 8
Distribute 2: (f o h)(x) = 24 - 10x + 8
Combine like terms: (f o h)(x) = -10x + 32

And we have our final answer!

8 0

2 years ago

A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the

Alex

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

= $2\pi r$ x $\frac{165}{360}$

= $\frac{2*\pi *80*165 }{360}$

= 230.4 feet to nearest tenth

7 0

2 years ago

Find the quotient 3^15/3^3

Sati [7]

There is a property called "Quotient of powers property", which states that:

$\frac{a^m}{a^n}=a^{(m-n)}$

Where "a" is the common base and "m" and "n" are exponents.

For this case, you have:

$\frac{3^{(15)}}{3^3}$

Then, in order to find the quotient, you must apply the Quotient of powers property. You need to write the common base (in this case is 3) and then subtract the exponents.

So, you get that the quotient is:

$\frac{3^{(15)}}{3^3}=3^{(15-3)}=3^{(12)}$

6 0

1 year ago

1. The three salespeople for a local advertising firm are Sara, Kenny, and Leila. Sara sold $3350 in ads, Kenny sold $1368, and

Dominik [7]

Answer:

$\text{Fraction of Sara sold }= \dfrac{1675}{2587}$

$\text{Fraction of Kenny sold }= \dfrac{684}{2587}$

$\text{Fraction of Leila sold }= \dfrac{228}{2587}$

Step-by-step explanation:

The three salespeople for a local advertising firm are sara, Kenny and Leila.

Sara sold total ads = $3350

Kenny sold total ads = $1368

Leila sold total ads = $456

First we calculate total sale of all three = 3350 + 1368 + 456 = $5174

We need to find fraction of total sale with each person sell.

$\text{Fraction of Sara sold }=\dfrac{\text{Sara total sold}}{\text{Total sale by all three}}$

$\text{Fraction of Sara sold }=\dfrac{3350}{5174}\Rightarrow\dfrac{1675}{2587}\approx 64.75\%$

$\text{Fraction of Kenny sold }=\dfrac{\text{Kenny total sold}}{\text{Total sale by all three}}$

$\text{Fraction of Kenny sold }=\dfrac{1368}{5174}\Rightarrow\dfrac{684}{2587}\approx 26.45\%$

$\text{Fraction of Leila sold }=\dfrac{\text{Leila total sold}}{\text{Total sale by all three}}$

$\text{Fraction of Leila sold }=\dfrac{456}{5174}\Rightarrow\dfrac{228}{2587}\approx 8.8\%$

4 0

3 years ago