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2 years ago

Find the length of the third side of each triangle.

Mathematics

1 answer:

zysi [14]2 years ago

4 0

Every triangle in this problem set is a right triangle, so their third side lengths can be solved using the Pythagorean Theorem, A^2 + B ^2 = C ^2, where C is the hypotenuse, or the longest side of the triangle.

Here is how I solved each problem:

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Find the perimeter of the object Help step by step please!

aliina [53]

Answer:

29.42 units

Step-by-step explanation:

1) Find the perimeter around the semi-circle

To do this, we find the circumference of the circle using the given diameter:

$C=\pi d$ where d is the diameter

Plug in 6 as the diameter

$C=\pi (6)\\C=6\pi$

Divide the circumference by 2

$\frac{6\pi }{2} \\= 3\pi$

Therefore, the perimeter around the semi-circle is 3π units.

2) Find the perimeter around the rest of the shape

Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.

Therefore, we add the following:

7+6+7

= 20

Therefore, the perimeter around that area of the shape is 20 units.

3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape

$20+3\pi \\= 20+9.42\\= 29.42$

Therefore, the perimeter of the shape is approximately 29.42 units.

I hope this helps!

3 0

2 years ago

Convert –18° to radians. Negative 10 pi radians Negative StartFraction 10 Over pi EndFraction radians Negative StartFraction 1 O

REY [17]

Answer:

negative pie/10 radians

Step-by-step explanation:

d on edg

6 0

2 years ago

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How many zeros in x^4 + 3x2 + 12

barxatty [35]

Answer:

We know that ,

Number of zeroes in a polynomial = degree of the polynomial

( degree of polynomial = the highest power in the polynomial )

therefore ,

$\bold\blue{number \:of \:zeroes \:of\: the \:given} \\\bold\blue{polynomial\: = \:4}$

hope helpful~

3 0

2 years ago

Use the distributive property to solve the expression. Combine like terms if necessary

Kisachek [45]

Answer:

12x-6

Step-by-step explanation:

6 0

2 years ago

Explain how to draw a tree diagram of outcomes for this situation: Julie went to visit her aunt and uncle for the weekend. She t

Naddika [18.5K]

Answer:

A tree diagram shows all possible outcomes of two or more events.

Each branch is a possible outcome and can be labelled with a probability.

Step 1: Draw lines (branches) to represent the first set of options (slacks). Write the outcomes on the ends of the branches (brown and black).

Step 2: Draw the next set of branches to represent the second set of options (sweaters). Write the outcomes on the ends of the branches (tan, red and white).

Step 3: Draw the final set of branches to represent the last set of options (shirts). Write the outcomes on the ends of the branches (white and gray).

We assume that the events in this scenario are independent so the probability of the first event happening has no impact on the probability of the second event or the third event happening. Therefore, the probabilities are:

P(brown slacks) = 1/2
P(black slacks) = 1/2
P(tan sweater) = 1/3
P(red sweater) = 1/3
P(white sweater) = 1/3
P(white shirt) = 1/2
P(gray shirt) = 1/2

Write these on the branches.

8 0

1 year ago

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