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3 years ago

URGENT!!!Can someone give me the answer and explanation plz

Mathematics

1 answer:

mafiozo [28]3 years ago

7 0

Answer: D

Step-by-step explanation: Divide 110 and 1700 to get 15 then multiply that 15 with 110 to get 1600. I hope this helps ;)

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3[x + 3(4x – 5)] = 15x – 24

Alex17521 [72]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}$

Step-by-step explanation:

$\sf{3[ x + 3(4x - 5)] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{3[ x + 12x - 15 ] = 15x - 24}$

Collect like terms : 12x and x

⇒ $\sf{3[ 13x - 15 ] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{39x - 45 = 15x - 24}$

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒ $\sf{39x - 15x = - 24 + 45}$

Collect like terms

⇒ $\sf{24x = - 24 + 45}$

Calculate

⇒ $\sf{24x = 21}$

Divide both sides of the equation by 24

⇒ $\sf{ \frac{24x}{24} = \frac{21}{24}}$

Calculate

⇒ $\sf{x = 0.875}$

Hope I helped!

Best regards! :D

5 0

3 years ago

In the diagram of right triangle ABC shown below, AB = 14 and AC = 9. What is the measure of angle A to the nearest degree?

olga_2 [115]

This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.

Answer:

d-50

Step-by-step explanation:

Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.

From the diagram, we are given

Hypotenuse = AB = 14

Adjacent = AC = 9

The measure of angle A to the nearest degree is calculated as:

cos θ = Adjacent / Hypothenuse

cos θ = 9/14

θ = cos -¹ (9/14) or arccos(9/14)

θ = 49.994799115°

To the nearest degree = 50°

Therefore,the measure of angle A to the nearest degree = 50°