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3 years ago

What’s the correct answer for this question?

Mathematics

2 answers:

Sati [7]3 years ago

7 0

Answer:

Step-by-step explanation:

sin C = opposite/hypotenuse = ⅗

Adjacent² = 5² - 3² = 16

Adjacent = 4

Tan C = opposite/adjacent = ¾

Damm [24]3 years ago

5 0

Answer:

tan C = 3/4

Step-by-step explanation:

sin C = opposite over hypotenuse

sin C = 3/5

BC = 5

AB = 3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 5^2

9 + b^2= 25

Subtract 9 from each side

9-9+b^2=25-9

b^2= 16

Take the square root of each side

sqrt(b^2)= sqrt(16)

b = 4

AC = 4

Tan C = opp side/ adj side

tan C = AB/ AC = 3/4

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skate land charges a $50 fee for a birthday party rental and $4 for each person. Joann has no more than $100 to budget for her p

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Answer:

11 then Joann would have $2 left over.

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3 years ago

Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5

Bad White [126]

Answer:

$131250

Step-by-step explanation:

Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)

Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%

2,500,000 ÷ 100 = 25000

Step 2. Multiply this number by the specific percentage (2.65)

25000 x 2.65 = 66250

Now add the commission and the yearly salary

65000 + 66250 = 131250

Hence, total earnings of Talia were $131250

4 0

2 years ago

Which of the following is the correct graph of the linear equation below? y+2 =3(x+1)

77julia77 [94]

Answer:

Step-by-step explanation:

3 0

2 years ago

Which of the following numbers is a Mersenne prime? A: 90 B: 27 - 1 C: 211 - 1 D: 15

My name is Ann [436]

Answer:

B: 2⁷-1 = 127

Step-by-step explanation:

A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.

Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

2⁷-1 = 127 is a Mersenne prime

3 0

2 years ago

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

3 years ago