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3 years ago

In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

Answer:

<h2>The side DE is 4.2 units long, approximately.</h2>

Step-by-step explanation:

In the given triangle, side DE is the hypothenuse. So, we can use Pythagorean's Theorem, where both legs are 3 units long.

$DE^{2}=DF^{2}+EF^{2}\\ DE^{2}=3^{2}+3^{2}\\DE^{2}=9+9\\DE=\sqrt{18} \approx 4.2$

Therefore, the side DE is 4.2 units long, approximately.

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The following pairs of equations are equivalent. Describe the operation that occurred in the second equation. 3+9=12 and 3+9-5=1

elena55 [62]

Answer:

See explanation

Step-by-step explanation:

A. Given the equation

$3+9=12$

Using the subtraction property of equality (subtracting 5 from both sides of equation), we'll get an equivalent equation

$3+9-5=12-5$

B. Given the equation

$x-4=7$

Using the addtion property of equality (adding 4 to both sides of equation), we'll get an equivalent equation

$x-4+4=7+4$

C. Given the equation

$2(6)=12$

Using the division property of equality (dividing both sides of equation by 2), we'll get an equivalent equation

$\dfrac{2(6)}{2}=\dfrac{12}{2}$

D. Given the equation

$\dfrac{x}{2}=5$

Using the multiplication property of equality (multiplying both sides of equation by 2), we'll get an equivalent equation

$2\cdot \dfrac{x}{2}=2\cdot 5$

8 0

3 years ago

If Mark uses 3 3/4 tablespoons of coffee to make 10 cups of coffee, how much would he need to make one cup of coffee?

Leya [2.2K]

Answer:

3 3/4 tablespoons of coffee to make 10 cups of coffee

3 3/4 =15/4

10 cups require 15/4 tablespoon of coffee

1 cup require how much

15/4 divide by 10

15/4 ÷ 10

=15/4 * 1/10

=15/40

=3/8 tablespoon of coffee for 1 cup of coffee

7 0

3 years ago

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Pls help I don’t understand

Eva8 [605]

What’s the question

6 0

3 years ago

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Simplify 4 to the 7th over 5 squared all raised to the 3rd power

alisha [4.7K]

<h2>Answer:</h2>

$\left(\frac{4^{21}}{5^6}\right)$

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

$4^7$

<u>5 squared:</u>

$5^2$

<u>4 to the 7th over 5 squared:</u>

$\frac{4^7}{5^2}$

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u> $\left(\frac{4^7}{5^2}\right)^3$ </u>

Using the law of exponents:

$\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)$

Finally, the answer is 4 to the 21st over 5 to the 6th.

8 0

3 years ago

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Narelle is environmentally consclous and has fitted

LUCKY_DIMON [66]

Answer:

93.5 mm

Step-by-step explanation:

1. Add all the rainfall readings together to find the total rainfall.

12.48+8.82+27.51+44.73=93.54

2. One decimal place means you'll be rounding 93.54 to the nearest tenth. Round down if the decimal place immediately to the right is less than 5, round up if it is greater than or equal to 5. Since 4 is the value in the hundredths place and 4<5, we are going to round down.

3. The answer is 93.5 mm, don't forget your units.

Hope you found this helpful, have a nice day.

7 0

4 years ago

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