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2 years ago

Value of B and A and explanation please

Mathematics

1 answer:

Snezhnost [94]2 years ago

4 0

We can see that b and 140 are on a straight line. A straight line is an angle of 180. SO:

140 + b = 180
b = 40

As indicated by the arrows, the two horizontal lines are parallel, and also due to the transversal, we know that a and b are corresponding angles.

Therefore, a = 40, since corresponding angles are equal

b = 40
a = 40

Hope this helped! Ask me if there's anything you don't understand :D

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A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentag

kozerog [31]

Step-by-step explanation:

profit%=

$\frac{selling \: price - cost \: price}{cost \: price} \times 100\%$

$\frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira} \times 100\%$

$\frac{4950 - 3750}{3750} \times 100\%$

$\frac{1200}{3750} \times 100\%$

=36%

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2 years ago

What's the answer to this ? Please help

Liono4ka [1.6K]

You could add them on a number line or count on your fingers.

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3 years ago

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sdas [7]

Step-by-step explanation:

Left hand side:

4 [sin⁶ θ + cos⁶ θ]

Rearrange:

4 [(sin² θ)³ + (cos² θ)³]

Factor the sum of cubes:

4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]

Pythagorean identity:

4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]

Complete the square:

4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]

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Pythagorean identity:

4 [1 − 3 sin² θ cos² θ]

Rearrange:

4 − 12 sin² θ cos² θ

4 − 3 (2 sin θ cos θ)²

Double angle formula:

4 − 3 (sin (2θ))²

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4 − 3 (1 − cos² (2θ))

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2 years ago

A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With

12345 [234]

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle $\triangle ABC$ is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is $72^\circ$ .

We have to find AB and BC.

$\angle BAC = 72^\circ$

Using trigonometric functions:

$cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches$

$sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches$

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Distance of top of ladder from building's base: 114 inches

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2 years ago

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Sholpan [36]

Answer:

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Step-by-step explanation:

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3 years ago

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