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pashok25 [27]
3 years ago
15

Type your answers into the boxes.

Mathematics
1 answer:
elena-s [515]3 years ago
4 0

Answer:

(a)24

(b)8

(c)4

Step-by-step explanation:

Number of STudents in the Class = 36

Angle representing Students with Red Hair =40 degrees

Angle representing Students with Blonde Hair =240 degrees

Therefore:

(a)Number of Students with Blonde Hair

=\dfrac{240^\circ}{360^\circ} \times 36\\\\ =24$ students

(b)Number of Students with Dark Hair

Angle representing students with dark hair = 360-(240+40)=80 degrees

Therefore:

Number of Students with Dark Hair

=\dfrac{80^\circ}{360^\circ} \times 36\\\\ =8$ students

(c)Number of Students with Blonde Hair

=\dfrac{40^\circ}{360^\circ} \times 36\\\\ =4$ students

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Helen [10]

Answer:△JKL∼△STU

When two triangles are similar , then their corresponding sides are proportional and Corresponding angles of one triangle is equal to corresponding angles of another Triangle.

The two Triangles can be similar by following Similarity axiom

Step-by-step explanation:

7 0
3 years ago
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What is the factored form of 8x2 + 12x?
Bas_tet [7]
B, 4x(2x2 + 3x)
divide both sides by 4 and you will get 2x2 + 3x to be the most factored form
8 0
3 years ago
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Decompose -6x/(x+2)(x+8) into partial fractions.
kari74 [83]

The partial fraction expansion takes the form

-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)

Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.

Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:

-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)

Expand the right side and collect terms by powers of <em>x</em> :

-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)

It follows that

<em>a</em> + <em>b</em> = -6   and   8<em>a</em> + 2<em>b</em> = 0

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So we end up with

-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)

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3 years ago
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Answer:

1/12

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3/(4x)=9

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4 years ago
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Answer:

31/3 ×51/4

527/4

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