How do i solve a decimal

Calculate the side lengths a and b to two decimal places.

Zinaida [17]

Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

$\angle A+\angle B+\angle C=180$

Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

$a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}$

$a=10.92 units$

$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

6 0

3 years ago

Which is an equivalent form of the expression 1800(1.2)^-t

ololo11 [35]

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

7 0

2 years ago

Someone pls help me I turn this in today the answer is there I just need to show work pls help me

dolphi86 [110]

Hello and Good Morning/Afternoon

<u>Let's tale this problem step-by-step</u>:

<u>What does the problem want:</u>

$\hookrightarrow \text{the unemployment compensation}$

<u>Employment compensation</u> =55% of the average of the last 26-week salary

$\hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}$

⇒ 55% of that average

$\hookrightarrow \frac{55}{100} *728.46 = 400.65$

<u>Answer: $400.65</u>

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

Sooo..... can anybody help.....

Margaret [11]

V= wlh so the answer is 56.25 or 56 1/4

4 0

3 years ago

Read 2 more answers

Explain this diagram.

spayn [35]

The shape that we have here is sued to show the infinite geometric progression.

<h3>What is geometric progression?</h3>

This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor

In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.

The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.

Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.