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2 years ago

Maths question inequality

Mathematics

1 answer:

Bad White [126]2 years ago

6 0

Answer:

x>-9

Step-by-step explanation:

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Triangles A and B are congruent.<br>Find the perimeter of triangle A. Give your answer to 1 dp.

CaHeK987 [17]

Pythagorean Theorem: a² + b² = c²

If Triangle A ≅ Triangle B, then hypotenuse length of A would be 9 cm and the another side of triangle A is stay 6 cm.

${6}^{2} + {x}^{2} = {9}^{2}$

$36 + {x}^{2} = 81$

${x}^{2} = 81 - 36 = 45$

$45 = 3 \sqrt{5} = x$

Perimeter of triangle a :

$9 + 6 + 3 \sqrt{5} = 15 + 3 \sqrt{5}$

Hope this helps ^-^

8 0

3 years ago

Please someone help, give the right answer it’s important

N76 [4]

Answer:

(2)

Step-by-step explanation:

Having three of the same angles ("AAA") does not prove that two triangles are congruent. All the other options use one of the viable methods (SSS, SAS, ASA, AAS).

7 0

3 years ago

( 3x^2-2x+1) + (4x^2+3x+2)

Alekssandra [29.7K]

Answer:

7x² + x + 3

Step-by-step explanation:

Step 1: Write expression

(3x² - 2x + 1) + (4x² + 3x + 2)

Step 2: Combine like terms

7x² + x + 3

6 0

3 years ago

Read 2 more answers

A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia

katrin [286]

The answer is 150 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
$141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04$

Logarithm both sides of the equation:
$ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
$A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000$

Thus, the population will be nearly 150 million in 2016

7 0

4 years ago

Simplify.<br> Remove all perfect squares from inside the square root.<br> √180

miskamm [114]

Answer:

13.42

Step-by-step explanation:

$\sqrt{180} =6\sqrt{5} \\\\6\sqrt{5} =13.42$

3 0

3 years ago

Read 2 more answers