Question 16 of 20

Arthur is treating his friends to a meal at Chez Rich. The meals added up to $152.30. If he tips the waiter 15%, what is the amo

True [87]

152.30(0.15)= 22.845

22.845 rounded to the nearest cent is $22.85.

Therefore, the answer is C. Hope this helps!

8 0

3 years ago

Read 2 more answers

Patty is building a rope ladder for a tree house she needs to 6 ft pieces of rope for the side of the ladder she need seven piec

Tanzania [10]

Answer:

i have no idea

Step-by-step explanation:

6 0

3 years ago

Help please!! <br><br><br> Define the following sequence recursively <br> 11,33,55,77

yulyashka [42]

Answer:

Step-by-step explanation:

Recursive sequences generally look like this:

a1 = something

an= ahhhhhh

The 1st term in this sequence is 11.

So we have

a1=11

And now we see that each term is adding by 22.

We have,

a1=11

$a_{n} =a_{n-1}+22$

3 0

3 years ago

A line passes through (3, -2) and (6, 2). a. Write an equation for the line in point-slope form. b. Rewrite the equation in stan

koban [17]

Answer:

(a)

Given: A line passes through the points (3, -2) and (6, 2)

Point slope form: An equation of line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

$y -y_1=m(x-x_1`)$ .....[1] where m is the slope of the line.

Calculate first the slope of the line:

Slope(m) = $\frac{y_2-y_1}{x_2-x_1}$

Substitute the given points;

$m = \frac{2-(-2)}{6-3}=\frac{2+2}{3} =\frac{4}{3}$

Substitute the value of m in [1] ;

$y - (-2) = \frac{4}{3}(x-3)$

$y+2=\frac{4}{3}(x-3)$ ......[1]

therefore, the equation of line in point slope form is, $y+2=\frac{4}{3}(x-3)$

(b)

to find the standard form of the equation [1]

Multiply both sides by 3 in [1] we get;

$3(y+2) = 4(x-3)$

using distributive property; $a\cdot (b+c) = a\cdot b + a\cdot c$

3y + 6 = 4x -12

Subtract 3y to both sides we get;

3y + 6 -3y = 4x - 12 - 3y

Simplify:

6 = 4x - 3y -12

Subtract 6 from both sides we get;

0 = 4x - 3y -12-6

Simplify:

4x - 3y - 18 =0

Therefore, the standard form of the equation is; 4x - 3y - 18 =0

7 0

3 years ago

Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction c

Hoochie [10]

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

$Sin \theta = \dfrac{opposite}{hypothenuse}$