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3 years ago

A college has a total of 107 teachers 23 more female teachers than male teachers

Mathematics

1 answer:

algol [13]3 years ago

5 0

Answer:

Female reachers = 65

Step-by-step explanation:

Given that,

Total teachers in a college = 107

Let there are n male teachers.

Female reachers = n+23

ATQ,

n+n+23 = 107

2n = 107-23

2n = 84

n = 42

Female reachers = 42+23

= 65

Hence, there are 65 female teachers.

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The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the

uranmaximum [27]

Answer:

84°

Step-by-step explanation:

Let the measures of the triangle be 5x, 7x, 3x.

By interior angle sum postulate of a triangle.

5x + 7x + 3x = 180°

15x = 180°

x = 180°/15

x = 12°

7x = 7*12°= 84°

Measure of the largest angle = 84°

6 0

2 years ago

He coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .

Nitella [24]

Answer: The perimeter is 17.52

Step-by-step explanation:

1. You can plot the points, as you can see in the graph attached.

2. As you can see in the graph, the points are:

$A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)$

And the lenghts AB and EA are:

$AB=5$

$EA=2$

3. To find the other lenghts, you can apply the formula for calculate the distance between two points:

$distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

4. Thefore, you have:

$BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24$

5. The perimeter is:

$P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52$

7 0

3 years ago

In a college biology class, only half of the class earned a passing grade, Out of all the students

Oduvanchick [21]

Answer:

b 30% is the right answer

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3 years ago

Find an equation of the line through the given pair of points. (-7,-5) and (-1,-9) The equation of the line is (Simplify your an

Phantasy [73]

Answer:

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Step-by-step explanation:

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Once you plug that into the y = mx + b equation, you can see that the y-intercept is -29/3.

Put all of that into the y = mx + b equation and you'll get --> y = -2/3x - 29/3

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2 years ago

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DedPeter [7]

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2 years ago

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