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2 years ago

Arc YZ is formed by central Angle YAZ in Circle A below.

Mathematics

1 answer:

8_murik_8 [283]2 years ago

6 0

40 poppa hit a mobsta turn yo brain to pasta hit a opp up dreads swangin just like I’m a rasta

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The base and the height of a triangle are multiplied by 5/4. Which of the following describes the

lions [1.4K]

Answer:

The option that describe the effect of the change is;

The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

8 0

2 years ago

Read 2 more answers

Be confident and be paitent to help people tahnky ou

Aleksandr [31]

12!!!! Hope this helped and good encouragement

4 0

2 years ago

When the turnpike littered the toll, traffic increased from 1,500 cars per day to 2,700

umka21 [38]

Answer:

80%

Step-by-step explanation:

The percentage change between two numbers can be calculated as ...

percentage change = ((new value)/(old value) -1) × 100%

= (2700/1500 -1) × 100% = (1.80 -1) × 100% = 80%

Traffic volume increased 80%.

6 0

3 years ago

What is the value of x? A.39 B.41 C.26 D.17

mojhsa [17]

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

${c}^{2} = {a}^{2} + {b}^{2}$

Let a = 40,

Let b = 9,

${c}^{2} = {40}^{2} + {9}^{2}$

${c}^{2} = 1600 + 81$

${c}^{2} = 1681$

$c = \sqrt{1681}$

$c = 41 \: units$

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

3 0

2 years ago

Using the right triangle below, find the cosine of angle A.

KiRa [710]

Answer:

it would be the Adjacent side (8) over the Hypotenuse, or the longest side which is 10. an easy way to remember this is CAH or Cosine=Adjacent/Hypotenuse

6 0

3 years ago