If c=25 and B=75 degrees, find a. Round to the nearest tenth.

Mathematics

1 answer:

worty [1.4K]3 years ago

5 0

Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get $\frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}$ , which after cross multiplying yields $a=\sin(16^\circ)\cdot25\approx 6.9$ . PM me if you have any questions?

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The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.

<h3>What are permutation and combination?</h3>

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.

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2 years ago

10=ax+bx solve for x With steps please

laila [671]

Answer:

$\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 10 = ax + bx$

Step 2: Solve for x

Factor: $\displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)$
[Division Property of Equality] Divide a + b on both sides: $\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}$