a) There are 15 teachers in a school and 10 of them are male teachers. i) Find the ratio of the number of male and female teachers. (ii) Find the ratio of the number of female teachers and the total number of teachers. One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles.​

Answer:

5/2

Step-by-step explanation:

We know,

Equation of the slope is, y = mx + c.   Where m is the slope.

y - 4 = 5/2*(x-2)

y = 5/2*(x-2) + 4

y = (5/2)x - 5 + 4

y = (5/2)x - 1

y = (5/2)x + (-1)      [y = mx + c form]

Slope, m = 5/2

Hope this will help. Please mark me brainliest.

Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x

y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2

y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))

Cancel the common factor.

y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)

Rewrite the expression.

y−4=5x2+5⋅−1y-4=5x2+5⋅-1

Multiply 55 by −1-1.

y−4=5x2−5

Add 44 to both sides of the equation.

y=5x2−5+4y=5x2-5+4

Add −5-5 and 44.

y=5x2−1

Reorder terms.

y=52x−1

THE ANSWER IS M = 5/2

Answer:

33

Step-by-step explanation:

180 minus 114 minus 33

soln,

x°+114°+33°=180° ( because sum of all angles of triangles is equal to 180°)

or, x°+147=180°

or, x°=180°-147°

hence, x°= 33°

Answer:

t = [tex]\sqrt{r^2 + s^2}[/tex]

Step-by-step explanation:

Below is the following calculation:

It is given that the one side of the triangle is t. Thus, let the other sides are "r" and "s". Thus, the best way to find the side of a triangle is to use the Pythagorean theorem. Here, let t is the hypotenuse.

Below is the formula:

t = [tex]\sqrt{r^2 + s^2}[/tex]

Answer:

A) 25/28

B) 9/10

C) 3/20

D) 0

E) 12

F) 11 1/12 (also as 133/12)

G) 1 7/60 ( also as 67/60)

H) 11 1/12 It's the exact same question as the other one sooo

I) -3/16

J) -53/80

Step-by-step explanation:

Just find the LCD and combine

Answer:

See below.

Step-by-step explanation:

A) 3/4 + 1/7 = 21/28 + 4/28 = 25/28

B) 2/5 + 3/6 = 12/30 + 15/30 = 27/30 = 9/10

C) 2/5 - 1/4 = 8/20 - 5/20 = 3/20

D) -2/6 - (-1/3) = -1/6 + 1/3 = 0

E) 5 ½ + 6 ½ = 5 + 6 + ½ + ½ = 12

F) 8 ¾ + 4 ½ - 2 ¹/6 = 8 + 4 - 2 + 9/12 + 6/12 - 2/12 = 10 13/12 = 11 1/12

G) 3/4 + 1/5 + 1/6 = 45/60 + 12/60 + 10/60 = 67/60 = 1 7/60

H) 8 ¾ + 4 ½ - 2 ¹/6 = 11 1/12

I) -3/12 - (-1/16) = -1/4 + 1/16 = -4/16 + 1/16 = -3/16

J) -3/48 - (4/5) + 1/5 =​ -15/240 - 192/240 + 48/240 = -159/240 = -53/80

Answer:

8 chocolates

Step-by-step explanation:

im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3

Answer:

Step-by-step explanation:

Set up the Law of Sines as follows:

[tex]\frac{sinC}{58}=\frac{sin30}{35}[/tex] and

[tex]sinC=\frac{58sin30}{35}[/tex] and

sinC = .8285714286 so

C = 56.0°

Answer:

domain { -8,-5}

Range { -7,-1,1}

Step-by-step explanation:

The domain is the input values

{ -8,-5}

We do not list repeated values

The range is the output values

{ -7,-1,1}

Answer: domain { -8,-5}

Range { -7,-1,1}

Step-by-step explanation:

Answer:

54 cm

Step-by-step explanation:

Hi there!

1) Round pi

π = 3.14159265...

Rounded to a whole number ⇒ 3

2) Determine the circumference

C = πd where d is the diameter

Plug in the diameter

C = 18π

Plug in π

C = 18(3)

C = 54

Therefore, a reasonable estimate for the circumference of this circle would be 54 cm.

I hope this helps!

Answer:

Step-by-step explanation:

This is exponential. I'll show you how I found it. After many attempts at other types of functions, I realized the points were either forming a quadratic or an exponential. Definitely not a line.

the standard form of an exponential function is

[tex]y=a(b)^x[/tex] so we sub in coordinates from the table to determine what the equation is and then test it on another set of points to see if it works. Using the first coordinate of (1, 2):

[tex]2=a(b)^1[/tex] so

[tex]a=\frac{2}{b}[/tex] . The next  coordinate is (2, 4), so:

[tex]4=\frac{2}{b}(b)^2[/tex] which simplifies down to

4 = 2b so

b = 2. Now we plug in 2 for b and solve for a:

a = 2/2 which is 1. So the equation, if this is exponential, is

[tex]y=1(2)^x[/tex] Let's test the next point in line and see if it works, (3, 8):

[tex]8?=?1(2)^3[/tex] and yes, 8 is equal to 2 cubed. And the next point says that 16 should equal 2 to the 4th, and it does, as well. So this is exponential...growth to be specific.

Answer:

1/b^3

Step-by-step explanation:

b^-3 is like writing:

1

---

b^3 since negative exponents are made into fractions

Answer:

AC with endpoints at A(1; -1) and C(5; 3)

Answer:

shaded  =25 %

un shaded = 75 %

Step-by-step explanation:

Total parts = 4

shaded part = 1

un shaded parts = 3

percentage of shaded part

[tex]=\frac{1}{4}\times 100 % = 25 %[/tex]

= 25 %

Percentage of un shaded parts

[tex]= \frac {3}{4}\times 100 = 75 %[/tex]

= 75 %

Step-by-step explanation:

2x/3 -4 = x

multiply both side by 3

2x - 12 = 3x

-x = 12

x = -12

Answer:

Given  : isosceles right triangle  hypotenuse = 8 cm  

To find : leg of  isosceles right triangle

Solution

isosceles right triangle

Hence Perpendicular = base  

Both legs are of Equal length

Applying Pythagoras theorem

Perpendicular² + base² = Hypotenuse²

Hypotenuse = 8 cm given

=> Perpendicular² + base² = 8²

Perpendicular = base   = x

=> x² + x² = 64

=> 2x² = 64

=> x² = 32

=> x  = 4√2

legs of  isosceles right triangle whose hypotenuse is  8 cm  

are 4√2  cm

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

Answer:

16+5w/4

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

it's a straight line on y=4

Answer:

The answer is A) the other angles are proportional.

Explanation:

If you already know what 2 of the 3 sides are of each triangle, it only makes sense that the 3rd side would be proportional to those of the 1st triangle.

9514 1404 393

Answer:

  y = -1/2x +4

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis, at y=4.

The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.

The slope is ...

  m = "rise"/"run" = -1/2

Then the slope-intercept equation is ...

  y = mx + b . . . . . slope m, y-intercept b

  y = -1/2x +4

Answer:

The speed of the normal train is 60 kilometers per hour.

Step-by-step explanation:

Let suppose that both trains move at constant speed and cover the same distance. Then, we have the following identity:

[tex]v_{1}\cdot t_{1} = v_{2}\cdot t_{2}[/tex] (1)

Where:

[tex]v_{1}, v_{2}[/tex] - Average speeds of the express train and the normal train, in kilometers per hour.

[tex]t_{1}, t_{2}[/tex] - Travel times of the express train and the normal train, in hours.

In addition, there is the following relationship between average speeds:

[tex]v_{1} = v_{2} + 90[/tex] (2)

By (2) in (1), we have the following expression for the average speed of the normal train:

[tex](v_{2} + 90) \cdot t_{1} = v_{2}\cdot t_{2}[/tex]

[tex]90\cdot t_{1} = v_{2} \cdot (t_{2} - t_{1})[/tex]

[tex]v_{2} = \frac{90\cdot t_{1}}{t_{2}-t_{1}}[/tex]

If we know that [tex]t_{1} = 4\,h[/tex] and [tex]t_{2} = 10\,h[/tex], then the average speed of the normal train is:

[tex]v_{2} = 90\cdot \left(\frac{4\,h}{10\,h - 4\,h} \right)[/tex]

[tex]v_{2} = 60\,\frac{km}{h}[/tex]

The speed of the normal train is 60 kilometers per hour.

Answer:

A

Step-by-step explanation:

The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is

[tex]\frac{1}{2}[/tex] (y - 127) = 53 → A

The intercepted arcs of y is 1/2(y -127) = 53.

The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.

Let, DE and EF exist as tangents to O.

The value of y will be evaluated as follows:

For angle created outside of circle by intersection:

Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:

An angle formed outside = 1/2(Difference of Intercepted Arcs)

An angle formed outside exists ∠DEF = 53°

Intercepted arcs exist y and 127°

Hence, 53 = 1/2(y -127)

Therefore, the correct answer is option C). 1/2(y -127) = 53.

To learn more about intercepted arcs refer to:

https://brainly.com/question/1626547

#SPJ2

Answer:

324

Step-by-step explanation:

SA = 2 ( lw + hl + hw )

l = length

w = width

h = height

Given Dimensions

l = 6

w = 5

h = 12

* plug in to SA formula *

SA = 2 ( (6)(5) + (12)(6) + (12)(5) )

(6)(5) = 30

(12)(6) = 72

(12)(5) = 60

SA = 2 ( 30 + 72 + 60 )

30 + 72 + 60 = 162

SA = 2(162) = 324

Answer:

173.3ft

Step-by-step explanation:

We'll start by the rectangle below

so remember the formula: l · w · h

10 · 4 · 3 = volume

volume = 120 ft

Rectangular pyramid

Volume = [tex]\frac{1}{3}[/tex] b · h

Volume = 1/3 40 · 4

Volume = 1/3 160

Volume = 53.3 ft

120 + 53.3 = 173.3 ft

Answer:

second option , third option and last option

Step-by-step explanation:

3x - 12 - 2(x + 12)

=3x - 12 -2x - 24

=x - 36

Answer:

Alternate interior angles are on opposite sides of the transversal, and between the parallel lines

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A=πr(r+h2+r2)=π·3·(3+11.622+32)≈141.38125