A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics that worked for her company. Consider the following Venn diagram.

What is the probability that a randomly selected mechanic from her 3 garages is ASE certified to work on Brakes? A.3/5. B. 1/2. C. 2/9. D. 4/15

Answer:

m=-6

Step-by-step explanation:

slope formula:

m=(y2-y1)/(x2-x1)

m= (-16--10)/(2-1)

m=(-6)/(1)

m=-6

Answer:

i would say d goodluck <3

Step-by-step explanation:

Answer: According to me, it is :

A height of 2 feet above the ground and angle of elevation of 86 degrees. 

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is

2/sin 4 = x / sin 86

solve for x

x = 28.60 feet....

HOPE IT HELPS YOU

HAVE A GOOD DAY ☺️❤️

If you want give me brainliest..

The height of the center field fence require that a ball hit 2 ft is equal to 28.60 feets

The sine is the ratio between the opposite side and the hypotenuse of a right triangle, that is, it is a trigonometric ratio. It is worth remembering that ratio or trigonometric relation is the study of the angles of a right triangle.

It is the ratio of the opposite side to the hypotenuse, that is:

[tex]Sen \theta = opposite \ side/hypotenuse[/tex]

Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:

[tex]180 - (90+86) = 4 degrees\\2/sin (4) = x / sin (86)\\x = 28.60 feet[/tex]

See more about sine at brainly.com/question/3554369

Answer:

Step-by-step explanation:

The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Diameter = √(1 - - 3)² + (9 - 5)²

Diameter = √4² + 4² = √32

Radius = diameter/2 = √32/2

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is determined by applying the midpoint formula

(x1 + x2)/2, (y1 + y2)/2

= (- 3 + 1)/2, (5 + 9)/2

Center = (- 1, 7)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 1 and k = 7

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 1)² + (y - 7)² = (√32/2)²

(x + 1)² + (y - 7)² = 32/4

(x + 1)² + (y - 7)² = 8

Answer:

Examples are below

Step-by-step explanation:

-6/4, -9/6, -15/10, -18,12, and -24/16

Answer:

12/8

Step-by-step explanation:

one of the numbers wasn't taken so. Yeah.

Answer:

66 feet

Step-by-step explanation:

diameter = 21 feet

circumference of circle = 2πr or πd

circumference of swimming pool = 22/7 * 21

                                                       = 22 * 3

                                                       = 66 feet

Hope this year is useful!!

Answer:

I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out

Step-by-step explanation:

hope this helped :3 have a nice day!! :) :)

Answer:

14 block , 4 block

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a triangle = 1/2 * Base * Height

For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.

Using the formula for finding the distance between two points to get the base and the height of the triangle.

D = √(x2-x1)²+(y2-y1)²

For side AB where A = (-3, -4) and B(2, 0)

AB = √(2-(-3))²+(0-(-4))²

AB = √5²+4²

AB = √25+16

AB = √41

AB = Height

For side BC where B = (2, 0) and C = (6, -5)

√(x2-x1)²+(y2-y1)²

BC = √6-2)²+(-5-0)²

BC= √4²+(-5)²

BC = √16+25

BC= √41

BC = base of the triangle

Area of the triangle = 1/2 * √41 * √41

Area of the triangle = 1/2 * 41

Area of the triangle =20.5square units

Answer:

8 c ,10 b ,11 d

Step-by-step explanation:

Answer:

Your answer is B.), 26 in.²

Step-by-step explanation:

So, what you do is you have to split it into two different shapes, find the areas of those, and then "put them back together" (add them together).

So, what I did is I made the whole top part one shape and then the bottom part. Here are the dimensions:

Top Part: 2 in. × 9 in.

Bottom Part: 4 in. × 2 in.

Now, you multiply and add them.

Top Part:

[tex]2*9=18[/tex]

Bottom Part:

[tex]4*2=8[/tex]

Add:

[tex]18+8=26in.^{2}[/tex]

Since it's a 2-dimensional figure, do not forget that when you label, you have to put a "2," as in "squared," like it's an exponent, but know that it is not an exponent. It's just so that people know, when looking at it, that it's the area of a 2-dimensional figure.

Answer:

i think its 80

Answer:

80⁰

Step-by-step explanation:

x = sum of alternate angles

x = 50 + 30

x = 80⁰

Answer:

2340 boxes

Step-by-step explanation:

to find out how many boxes or cans fit there u need to know the volume of the box and the cans or boxes

v= l*w*h

v= volume

l=length

w=width

h=height

first lets find the volume of one can or box of fish food

the length, the width, and the height are the same which is 1/4, so cube 1/4 or 1/4*1/4*1/4

1/4*1/4*1/4= 1/16 *1/4= 1/64

Now u have to find the volume of the shipping box, so the length is 3 3/4, the width is 3, and the height is 3 1/4

3 3/4*3*3 1/4= 15/4*3/1*13/4

15/4*3/1*13/4= 45/4*13/4 = 585/16

now divided the volume of shipping box by the volume of fish food boxes

585/16 divided by 1/64 and now u do the KFC or the keep flip change

u keep the 585/16 and then flip the sign to multiplication and then change the last number to 64/1

585/16 times 64/1= 37440/16 or 2340

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.

So, from the problem,  if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.

[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]

Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.

[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]

So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.

[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]

So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome

Answer:

$47,600

Step-by-step explanation:

Net income = total revenue - total expenses

NI= 68000 - (30)(680)

NI=68000-20400

NI=47600

Answer:

Your median is 4.1.

Step-by-step explanation:

What is the median

The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

Median formulas

This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even when the number of observations is odd the formula.

Answer:

3.95

Step-by-step explanation:

Order the numbers from least to greatest:

0.3, 0.7, 1.1, 2.9, 3.8, 4.1, 7.6, 9.8, 9.9, 10

Find the numbers in the middle:

3.8, 4.1

Find the mean of these two numbers:

(3.8+4.1)/2

3.95

Answer:

Option J; 64π square cm

Step-by-step explanation:

See attachment below;

Answer: 149

Step-by-step explanation:

out of 80 students, 20 said that they prefers cats, then the relative frequency is:

p =20/80 = 0.25

then, out of the 597 students a estimate of:

N = 0.25*597 = 149.25 like cats

We should round it down so we have a whole number, then we have a estimate of 149 students.

Answer152

Step-by-step explanation:

if u divide the 2 u will get 157

Answer:

a,c,f

Step-by-step explanation:

Answer:

A.

C.

F.

Hope this helped!

Answer:No

Step-by-step explanation:The side lengths do not make a right triangle, so it can't be tangent.

Answer: B

Step-by-step explanation: What is equivilent to 1/3? 1/3 * 5/5 = 5/15

Answer:

B

Step-by-step explanation:

a table must have 108 blue shirts in total and 96 green shirts

first you add them to find out if the blue shirts have 108

you also need to make sure if green has 96 shirts too

i hope this was helpful

As you can see, the cube and the cylinder are the same height and width. But, if you use their 2d counterparts, a square and a circle, a circle always takes up 78.5% of the squares area. Knowing this, we can take this knowledge and see that the cube will have a greater volume.

Hope this helps :)

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanatio

Answer:

16%

Step-by-step explanation:

Answer:

.75

Step-by-step explanation:

Answer:

19.11 square units

Step-by-step explanation:

The fish tank is composed by eight rectangles with base = 0.9 units and height = 2 units; and by a regular octagon at the bottom, which sides are 0.9 units long.

Area of each rectangle = 0.9*2 = 1.9 square units

Area of the regular octagon = 2*(1 + √2)*0.9² = 3.91 square units

Therefore:

Surface area of the fish tank = 8*1.9 + 3.91 = 19.11 square units

Answer:

D

Step-by-step explanation:

Answer:

the slopes of DE and EF are opposite reciprocals make the triangle Δ DEF a right triangle.

Step-by-step explanation:

The characteristics will prove that Δ DEF is a right isosceles triangle is the lengths of DE and EF are congruent, and their slopes are opposite reciprocals.

Now, the equal sides of DE = EF make the triangle Δ DEF an isosceles triangle and the slopes of two perpendicular lines are always the opposite reciprocals.

So the correct answer would be: The lengths of DE and EF are congruent, and their slopes are opposite reciprocals.

A right-angle triangle with two equal sides forming that right angle must be a right isosceles triangle.

What is a right isosceles triangle?

A triangle that has  a right-angle and two equal sides is called a right-isosceles triangle.

Characteristics will prove that ΔDEF is a right isosceles triangle are as follows:

1. A right isosceles triangle must have a right angle.

2. Two sides of it must be equal. Obviously, the hypotenuse is the biggest side of the triangle. Apart from the hypotenuse, other two sides must be same. It will make their slope with the hypotenuse equal. Hence, the triangle will be also be isosceles.

Learn more about a right isosceles triangle here: https://brainly.com/question/21881466

#Tag #SPJ2

Answer:

[tex](x-5),(2x+3)[/tex]

Step-by-step explanation:

Given: area of a rectangle is [tex]2x^2-7x-15[/tex]

To find: binomials that represent the length and the width of the rectangle

Solution:

A polynomial that consists of two terms is known as binomial.

[tex]2x^2-7x-15=2x^2-10x+3x-15\\=2x(x-5)+3(x-5)\\=(2x+3)(x-5)[/tex]

Also, area of rectangle is length × breadth

So, length × breadth = [tex](2x+3)(x-5)[/tex]

So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3