Y=-2(x+5)^2-30 In standard form

Use the Law of Cosines to determine the length of the third side of the triangle.

Alchen [17]

<u>Corrected Question</u>

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of $35^\circ$ . Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of $35^\circ$ .

Using Law of Cosines

$a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm$

The correct option is D.

6 0

3 years ago

You have been asked to set up chairs for the school concert.

DanielleElmas [232]

Step-by-step explanation:

middle section= 390

sides=270

total=930 chairs

5 0

3 years ago

Analysis and observations in these two graphs

professor190 [17]

By critically observing the graph, we can infer and logically deduce the following points:

The linear function is given by y = 0.0169x + 32.485.

The initial temperature for both data is greater than 32°C.

The final temperature for both data is less than 33.5°C.

Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.

Graph 1 (thin-dashed line) is essentially a linear graph.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:

The linear function is given by y = 0.0169x + 32.485.

The initial temperature for both data is greater than 32°C.

The final temperature for both data is less than 33.5°C.

Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.

Graph 1 (thin-dashed line) is essentially a linear graph.

In conclusion, there are four (4) points of intersection on this graph.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

7 0

2 years ago

Which statement about a dilation with a scale factor of 3 is true?

Valentin [98]

Given : dilation with a scale factor of 3

To find : Which statement is true

Solution:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor N then image Size is multiplied by N

if Scale factor < 1 then image get reduced

if scale factor > 1 then image get enlarged

scale factor = 1 lead to Same size image

Here is given that Scale factor of 3

=> image will be enlarged to 3 times the original image

Hence correct option is :

C)Each side in the pre-image is multiplied by three to find the corresponding side length in the image

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6 0

2 years ago

What would the equation look like if you

Misha Larkins [42]

D -3x-8
4x - 8 -7x
-3x - 8

7 0

3 years ago