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kolezko [41]
3 years ago
11

There are 100 teachers in a school. 60 teach science, 25 teach humanities, 15 teach both science and humanities. Find the number

of science but not humanities
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

15

Step-by-step explanation:

The total number of teachers in the school is 100.

The number who teach Science is 60

The who teach humanities is 25.

The number that teach both humanities and Science is 15.

We want to find the number who teach Science but not Humanities.

We obtain this by subtracting the number of teachers who teach both subjects from the number that teach Science.

= 60 - 15 = 45

Therefore 25 teaches science but not Humanities

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Answer:

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Step-by-step explanation:

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tankabanditka [31]

Answer:

30.96 m^2

Step-by-step explanation:

Side length of the square is also the diameter of the semicircle so:

r = 0.5 * 12 m = 6 m

Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:

Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area

(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)

= 144 - 56.52 - 56.52

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7 0
3 years ago
Rose watches a circular ornament that has 6 equally spaced stones. identify x
Feliz [49]

Answer:

x = 60°

Step-by-step explanation:

It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,

mAB◠ = 60∘

mBC◠ = 3 (60∘)  = 180∘

If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.

x = 1/2 (mBC◠ − mAB◠)

Substitute the known values into the formula.

x = 1/2 (180∘ − 60∘)

= 1/2 (120∘)

= 60∘

Therefore, x = 60∘.

8 0
3 years ago
If the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?
Troyanec [42]

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ)

P(\triangle ABC) = \frac{1}{2} \times 56

P(\triangle ABC) = 28\: cm

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2 years ago
Christopher Columbus set sail from Spain in 1492. In what year did the Civil War end?
xxTIMURxx [149]

Answer:

May 9, 1865

Step-by-step explanation:

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3 years ago
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