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katrin2010 [14]

4 years ago

10

Evaluate 15cos60 Options are A) -0.5 B)7.5 C)-14.5

2 answers:

USPshnik [31]4 years ago

6 0

$\cos60^o=\dfrac{1}{2}\\\\\text{Therefore}\\\\15\cos60^o=15\cdot\dfrac{1}{2}=7.5\\\\Answer:\ \boxed{B)\ 7.5}$

Setler79 [48]4 years ago

3 0

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$15\cos (60^{\circ})$

We already know that

$\cos (60^{\circ})=\frac{1}{2}$

Put this value in the given expression.

$15\cos (60^{\circ})=15\times \frac{1}{2}$

$15\cos (60^{\circ})=\frac{15}{2}$

$15\cos (60^{\circ})=7.5$

The value of given expression is 7.5. Therefore the correct option is B.

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Alona [7]

Answer:
3x^2 (y^5)^1/4 which is the first choice

Explanation:
The fourth root means that the bracket under has the root has a power of 1/4.
So, the given expression is:
(81 * x^8 * y^5)^1/4
Now, we will distribute the power as follows:
(81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4
= 3 * x^2 * y^5/4
This expression is equivalent to:
3x^2 (y^5)^1/4 which is the first choice

Hope this helps :)

8 0

3 years ago

The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

6 0

1 year ago

Find A ∩ B if A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}.

Korvikt [17]

Their intersection is 7 because is you look at the coordinates of both A and B they have 7 in common

8 0

3 years ago

The diagonals of a rectangle measure x+5 feet and 2x+1 feet what is the value of x?

vodomira [7]

The value of x is 4.

Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.

The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.

In the given figure ABCD is a rectangle.

OA=2x+1 and OD=x+5 [Given]

AC and BD are diagonals of a rectangle.

As we know that the diagonals of a rectangle are always equal.

So, AC = BD

We can also write it as,

2×OA=2×OD

2×(2x+1) =2×(x+5)

Apply the distributive property a(b+c)=ab+ac, we get

4x+2=2x+10

Subtract 2x from both sides, we get

4x+2-2x=2x+10-2x

2x+2=10

Subtract 2 from both sides, we get

2x+2-2=10-2

2x=8

Divide both sides by 2, we get

2x/x=8/2

x=4

Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.

Learn more about rectangles from here brainly.com/question/1549055.

#SPJ4

4 0

2 years ago

What is 65% of 2,000,000?

dlinn [17]

Answer: 1,300,000

Step by step explanation:

Set up a proportion.

65 • 2,000,000 = 130,000,000

130,000,000 / 100 = 1,300,000

1,300,000 is 65% of 2,000,000

3 0

3 years ago

Read 2 more answers