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3 years ago

Determine the number of possible triangles, ABC, that can be formed given A = 150°, a = 7, and b = 4.

1 answer:

8 0

1.

When you have the length of two sides and the angle between them, the triangle is totally determined. This is, there is only one segment that can complete the triangle: its length and position is totally fixed.

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Solve the system of equations.<br><br> 6x−y=−14<br> 2x−3y=6<br><br> whats the answer please C:

TEA [102]

Answer:

Step-by-step explanation:

3 0

3 years ago

An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Fittoniya [83]

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

<h3>What are Complementary Angles?</h3>

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

Learn more about complementary angles on:

brainly.com/question/16281260

#SPJ1

6 0

2 years ago

Alice and Bob each choose at random a number between zero and two. We assume a uniform probability law under which the probabili

Mnenie [13.5K]

Answer / Step-by-step explanation:

Before we start to answer this question, it would be nice to understand some basic definition and principles:

Random: This refers to an unpredictable pattern of arrangement. Without a specific aim or logical procedural pattern.

Uniform Probability distribution: This is a type of probability distribution in which the outcomes of distribution irrespective of the pattern or distance results in equally likely outcomes.

Uniform distribution is one of the widely used distributions although it's one of the simplest ones. The idea behind this distribution is that, unlike the other distributions, the likelihood of the any outcome in the distribution range is the same.

Now that we have a brief knowledge of the key terms within the question, hence, to start answering the question,

(a) Starting with 0 for Alice, Bob can choose any number starting from 1 / 3 . As Alice increases, Bob has to increase his starting point as well. Therefore, after Alice passes 1 / 3 , Bob can start choosing numbers from 0. This creates 2 triangles with sides 1 / 3 . The area of them gives us the probability.

Therefore, : P = 2 ( 1/3 1/3 1/3)

= 4/9

(b) We can find the probability of having both the numbers less than 1 / 3 . Then we subtract this probability from 1.

We have: P = 1 - 1/3 . 1/3

= 8/9

(c) This is basically impossible as the area of a dot is negligible.

(d) It means that Alice needs to select a number between 1 / 3 and 1.

Therefore: P = 1 - 1 /3

= 2 / 3

8 0

4 years ago

Consider the reduction of the rectangle

Alexandra [31]

The question is incomplete. The complete question is as follows.

Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle has a length of 4.5 feet and width of x feet. Not drawn to scale (The drawing is in the attachment). Rounded to the nearest tenth.

What is the value of x?

A. 0.1 feet

B. 0.6 feet

C. 1.6 feet

D. 2.0 feet

Answer: B. 0.6 feet

Step-by-step explanation: Two quantity are proportional if the ratio of them is constant. From the drawing and the question, we have that the two rectangles are proportional between them.

$\frac{x}{2.3} = \frac{4.5}{16.8}$