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3 years ago

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Mathematics

1 answer:

fgiga [73]3 years ago

4 0

Answer:

The answer is below

Step-by-step explanation:

a) The number of pupils who scored more than 7 in a test = pupils who shored 8 + pupils who shored 9 + pupils who shored 10

The number of pupils who scored more than 7 in a test = 7 + 3 + 1 = 11 pupils

b) Total number of pupils = pupils who shored 0 + pupils who shored 1 + pupils who shored 2 + . . . + pupils who shored 9 + pupils who shored 10

Total number of pupils = 0 + 1 + 4 + 0 + 0 + 8 + 0 + 2 + 7 + 3 + 1 = 26 pupils

c) It is assumed that nobody scored either 0 or 3 or 4 or 6. Also the highest mark was assumed to be 10

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PLEASE HELP

babunello [35]

Answer:

m∠6 = 148°

Step-by-step explanation:

From the figure attached,

AB and CD are two parallel line and another transverse line is intersecting these line at two distinct points.

Since, m∠1 = 32°,

∠1 and ∠4 are supplementary angles [Linear pair of angles]

m∠1 + m∠4 = 180°

32° + m∠4 = 180°

m∠4 = 180° - 32°

m∠4 = 148°

Since, ∠4 ≅ ∠6 [Alternate interior angles]

m∠4 = m∠6 = 148°

Therefore, m∠6 = 148°

3 0

4 years ago

Read 2 more answers

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Kaylis [27]

Answer:

Can you give me the website to see the problem or something.

Step-by-step explanation:

8 0

3 years ago

Complete the square to rewrite y = x2 + 8x – 4 in vertex form, and then identify the minimum y-value of the function

babunello [35]

Answer:

The vertex form is (x + 4)² - 20

The minimum value of the function is -20

Step-by-step explanation:

* Lets write the general form and the vertex form of the

quadratic function

- General form ⇒ ax² + bx + c, where a , b , c are constant

- Vertex form ⇒g(x - h)² + k, where g , h , k are constant and

(h , k) is the vertex point (minimum or maximum)

- By equating them we can find the vertex point

* Lets do that in the problem

∵ y = x² + 8x - 4

∴ x² + 8x - 4 = g(x - h)² + k ⇒ solve the bracket

∴ x² + 8x - 4 = g(x² - 2xh + h²) + k ⇒ open the bracket

∴ x² + 8x - 4 = gx² - 2ghx + gh² + k

* Now lets equate the like terms

- Let x² = gx²

∴ g = 1

- Let 8x = -2ghx ⇒ -2gh = 8 ⇒ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ -2 for both sides

∴ h = -4

- let -4 = gh² + k ⇒ -4 = (1)(-4)² + k ⇒ 16 + k = -4 ⇒ -16 for both sides

∴ k = -4 - 16 = -20

* Substitute these values in the equation

∴ x² + 8x - 4 = (x - -4)² + -20

* The vertex form is (x + 4)² - 20

∵ The vertex point is (h , k)

∴ The vertex point is (-4 , -20)

* The minimum value of the function is the value of y

of the vertex point

∴ The minimum value of the function is -20

6 0

3 years ago

Read 2 more answers

Sin A= ?<br>c/a<br>a/c<br>a/b<br>b/c

S_A_V [24]

Answer:

$\sin A = \frac{a}{b}$

Step-by-step explanation:

Given:

We took here a Right Angle Triangle,Δ ABC at angle B as 90°

Side opposite to angle A = a

Side opposite to angle B = b = Hypotenuse

Side opposite to angle C = c

To Find:

Sin A = ?

Solution:

Property of a Sine rule for a Right Angle Triangle.

$\sin A =\frac{\textrm{side opposite to angle A}}{Hypotenuse}\\\sin A =\frac{a}{b}$

∴ $\sin A = \frac{a}{b}$

3 0

3 years ago

Helppppppppppppppppppppppppp

Gre4nikov [31]

Answer:

126°

Step-by-step explanation:

the internal sum of the angles is always 180

28+26= 54

180-54= 126

3 0

3 years ago