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2 years ago

9

a triangle garden is being formed with stones. the three sides measure 4 meters by 6 meters by 7 meters. which of the following

is a true statement about the side of the triangle?

1 answer:

MakcuM [25]2 years ago

7 0

Answer:all sides are equal

Step-by-step explanation:

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What's the slope of the line?

DedPeter [7]

Answer:-2/3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

9. If f(x)=-2x^2+4x-6, <br> then f(2)=

Romashka-Z-Leto [24]

Answer:

f(2) = -6

General Formulas and Concepts:

Order of Operations: BPEMDAS

Substitution and Evaluation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -2x² + 4x - 6

f(2) is x = 2

<u>Step 2: Solve</u>

Substitute: f(2) = -2(2)² + 4(2) - 6
Exponents: f(2) = -2(4) + 4(2) - 6
Multiply: f(2) = -8 + 8 - 6
Add: f(2) = -6

3 0

3 years ago

A cross country team is made up of 65% male runners. What fraction of the team is male?

Nikitich [7]

Percentage is the same as a fraction over 100, where the number 100 represents a 'whole'.

Therefore, if 65% are male, it means if there were 100 runners in total, 65 of them would be male, so your fraction would be 65/100.

However, you can simplify this fraction as both 65 and 100 have common factors. So you keep dividing both numbers by its factors until there are no more common factors left. This will leave you with 13/20.

Therefore your final answer is 13/20.

5 0

3 years ago

Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened he

fiasKO [112]

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

The amount in the account at the end of 6 quarters is approximately <u>$16,767.2</u>

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

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2 years ago

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Evaluate the expression using a calculator:

tester [92]

The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

a⁻ⁿ = 1/aⁿ; negative exponent
(ab)ⁿ = aⁿ × bⁿ; power of a product rule
aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
aⁿ/aˣ = aⁿ⁻ˣ; division rule
$a^{\frac{x}{y} } = \sqrt[y]{a^x}$ ; fractional exponent

<h3>Calculation:</h3>

The given expression is $126^{-3/4}$

Using calculator: $126^{-3/4}$ = 0.0265

Applying the exponent rule for evaluating the given expression:

$126^{-3/4}$

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ $126^{-3/4}=\frac{1}{126^{3/4}}$

Applying fractional exponent rule;

I.e., $a^{\frac{x}{y} } = \sqrt[y]{a^x}$

⇒ $\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }$

⇒ 1/ $\sqrt[4]{2000376}$

⇒ 1/37.6077

⇒ 0.0265

Therefore, the value of the given expression is 0.0265.

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4 0

10 months ago