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Mariana [72]
3 years ago
8

Can someone please check this?

Mathematics
1 answer:
Naddik [55]3 years ago
7 0
The first one in incorrect , it should be 130 but the rest are correct !
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One leg of a right triangle has a length of 5m. The other sides have lengths that are consecutive integers. Find these lengths.
pickupchik [31]

The lengths of the other two sides of the right triangle are 12 and 13

<h3>Pythagorean theorem </h3>

From the question, we are to determine the lengths of the other sides of the triangle

From the given information,

The other sides have lengths that are consecutive integers

Thus,

If the length of the other side is x

Then,

The hypotenuse will be x + 1

By the <em>Pythagorean theorem</em>, we can write that

(x+1)² = x² + 5²

(x+1)(x+1) = x² + 25

x² + x + x + 1 = x² + 25

x² - x² + x + x = 25 - 1

2x = 24

x = 24/2

x = 12

∴ The other leg of the right triangle is 12

Hypotenuse = x + 1 = 12 + 1 = 13

Hence, the lengths of the other two sides are 12 and 13

Learn more on Pythagorean theorem here: brainly.com/question/4584452

#SPJ1

7 0
2 years ago
Help ASAP please! I need the correct answer.
JulijaS [17]

Answer:

B

Step-by-step explanation:

120 degrees is 1/3 of the circumference of a circle.

So the formula is  2 * pi * r * theta / 360

Arc length = 2* 12 * 3.14 * 120/360

Arc length =25.12 feet

3 0
3 years ago
-7(z-6)= -70 i need help
vichka [17]

Answer:

z=16

Step-by-step explanation:

-7(z-6)= -70

combine -7 with the bracket

-7z + 42 = -70

      -42        -42

-7z = - 112

divide both sides by -7

-7z/-7 = -112/-7

z = 16

check

-7(z-6)= -70

-7(16-6)= -70

combine

-112+42= -70

  -42         -42

-112 = -112


5 0
3 years ago
Read 2 more answers
How do you simplify sin^4-cos^4=2sin^2-1?
Naily [24]

\bf \textit{Double Angle Identities} \\\\ cos(2\theta)= \begin{cases} cos^2(\theta)-sin^2(\theta)\\ 1-2sin^2(\theta)\\ 2cos^2(\theta)-1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \begin{array}{llll} sin^4(\theta )-cos^4(\theta )&=&2sin^2(\theta )-1\\[1em] [sin(\theta )]^4-[cos(\theta )]^4&=&-[1-2sin^2(\theta )]\\[1em] \stackrel{\textit{difference of squares}}{[[sin(\theta )]^2]^2-[[cos(\theta )]^2]^2}&=&-[cos^2(\theta )-sin^2(\theta )]\\[1em] [sin^2(\theta )-cos^2(\theta )][sin^2(\theta )+cos^2(\theta )]&=&sin^2(\theta )-cos^2(\theta )\\[1em] [sin^2(\theta )-cos^2(\theta )][1]&=\\\\ sin^2(\theta )-cos^2(\theta ) &=\end{array}

8 0
3 years ago
If you travel in your Honda Civic at an average speed of 70 mph on I-81, how far will
Ainat [17]

Answer:

210 miles

Step-by-step explanation:

70x3 70mph for 3 hours

5 0
3 years ago
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