Find the measure of the indicated angle. N O m 20 6yº 3y

Solve P= 2B + 2M for B

kykrilka [37]

Answer:

B = P/ 2 − M

Step-by-step explanation:

8 0

3 years ago

Jessica finished a race that was 5 miles long in 30 minutes and 15 seconds. Casey finished a race that was 2 miles log in 11 min

poizon [28]

Answer:

Casy

Step by step explanation:

You divide the miles by their time

It took Jessica 6 minutes and .03 seconds to finish a mile

It took Casy 5 minutes and 54 seconds to finish a mile

Casy is .09 Seconds quicker than Jessica

3 0

3 years ago

96 sq meters

Vsevolod [243]

Answer:

84 sq meters

Step-by-step explanation:

1. Approach

In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.

2. Area of Region 1

As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.

Length * width

6 * 3

= 18

3. Area of Region 2

In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.

Length * width

= 12 * (8 - 3)

= 12 * 5

= 60

4. Area of Region 3

In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.

Length * width

= 2 * 3

= 6

5. Total area

Now add up the area of each region to find the total rea,

(Region 1) + (Region 2) + ( Region 3)

= 18 + 60 + 6

= 84

7 0

3 years ago

Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less

MA_775_DIABLO [31]

Answer:

New cars sold = 20,

Used cars sold = 25

Cars serviced = 290

Step-by-step explanation:

In a month they sold fifteen less used cars than twice the number of new cars.

Lets say 'x' number of new cars were sold, then:

The number of used car sold is:

$2\times x-15=2x-15$

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

$12\times x+50=12x+50$

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

$x+(2x-15)+(12x+15)=335$

Solving for 'x' we get:

$x+2x+12x-15+50=335$

$15x+35=335$

$15x=335-35=300$

$x=\frac{300}{15}=20$

Therefore, the number of new cars sold in that month is 20.

Number of used car sold $=2x-15=2\times 20-15=40-15=25$

Number of cars serviced $=12\times x+50=12\times20+50=240+50=290$

We can also cross check by summing them up:

$290+25+20=335$

8 0

3 years ago

Solve the quadratic equation by completing the square. x^2+12x+52=0

White raven [17]

Answer:

(x + 6)² + 16 = 0

Step-by-step explanation:

To complete the square we will first need to get our equation to look like: x² + bx = c

Here we have x² + bx + c = 0 → x² + 12x + 52 = 0

First we need to subtract our c, in this case 52, from both sides to get x² + 12x = -52
We then need to add $(\frac{b}{2} )^{2}$ to both sides of the equation
Here our b value is 12, so plugging this into our formula we get $(\frac{12}{2} )^{2} =(6)^{2} =36$
Adding 36 to both sides our equation becomes: x² + 12x + 36 = -52 + 36
Then combining like terms on the right side we get x² + 12x + 36 = -16
Now making our left side of the equation into a perfect square we get: (x + 6)² = -16
Finally adding the 16 to both sides of the equation we get: (x + 6)² + 16 = 0

6 0

3 years ago

Find the measure of the indicated angle. N O m 20 6yº 3y - 12° O M