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katrin [286]
2 years ago
12

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

Mathematics
2 answers:
lions [1.4K]2 years ago
8 0

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).

OLEGan [10]2 years ago
3 0

Answer:

The perimeter is multiplied by 5/4.

Step-by-step explanation:

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HCF of 405 and 1605 answer it fast
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Answer:

hcf=(1,605; 600) = 3 × 5

Step-by-step explanation:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

1,605 = 3 × 5 × 107;

1,605 is not a prime, is a composite number;

600 = 23 × 3 × 52;

600 is not a prime, is a composite number;

* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.

* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

Multiply all the common prime factors, by the lowest exponents (if any).

gcf, hcf, gcd (1,605; 600) = 3 × 5

gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;

The numbers have common prime factors.

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If the angle measures of a triangle can be expressed as 4x + 6, 7x-14, and 48-x, what is the value of the smallest angle measure
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Question 15 of 40
PilotLPTM [1.2K]

Answer:

Option C: n = 32; p^ = 0.4

Step-by-step explanation:

The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10

A) For n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

Thus, it can't be used.

B) For n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok

Thus, it can't be used

C) For n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be used

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Thus it can't be used.

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3 years ago
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