What is an algebraic expression for the following word phrase:

PLEASE ANSWER ASAP!!!!!!!!

elena-s [515]

The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.

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

Triangle is a polygon with three sides , three angles and three vertices.

Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree

The missing angle and side is given by Cosine rule of triangle

c² = a² + b² - 2ab cosC

11² = 8² + b² - 2* 8 * b * cos 33

57 = b² -13.42 b

b² -13.42b -57 = 0

b = 16.8

By sine rule

a / sin A = b/sin B = c/sinC

8 / sin A = 11 / sin 33

A = 23.33 degree

Similarly

B = 123.7 degree

Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.

To know more about Triangle

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6 0

2 years ago

In 1 1/2 hours, Sebastian can walk 4 1/2 miles.<br> What is his average speed in hours per mile?

jeka94

Answer:

The average speed of Sebastian is 3 miles per hour.

<u>Solution:</u>

Given, In $1 \frac{1}{2}$ hours, Sebastian can walk 4 1/2 miles.

we have to find What is his average speed in hours per mile

We know that, average speed $=\frac{\text {total distance walked}}{\text {total time taken}}$

In our problem, total distance travelled = $4 \frac{1}{2} \text { miles }=\frac{4 \times 2+1}{2} \text { miles }=\frac{9}{2} \text { miles. }$

$\text { And, total time taken }=1 \frac{1}{2} \text { hours }=\frac{1 \times 2+1}{2} \text { hours }=\frac{3}{2} \text { miles. }$

Now, average speed of Sebastian $=\frac{\frac{9}{2}}{\frac{3}{2}}=\frac{9}{2} \times \frac{2}{3}=\frac{9}{3}=3$

Hence, the average speed of Sebastian is 3 miles per hour.

4 0

3 years ago

Julie wants to purchase a new home in six years.

sergejj [24]

Good for Julie! Is there a question that comes with this post?

-TTL

8 0

3 years ago

Read 2 more answers

In how many different ways can the curator of a museum arrange five of eight paintings horizontally on the wall?

Y_Kistochka [10]

8C5=8!/(3!5!)=56
There are 56 ways a curator can arrange the paintings.

3 0

3 years ago

Hello I'm stuck on this homework question and need help please thank you

Alexxx [7]

We need to find the surface area of the solid.

Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:

$1\text{ meter }\times1\text{ meter }=1\text{ meter}^2$

Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².

We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.

Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.

And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.

Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:

$2\times(17+10+8)=2\times35=70$

Therefore, the surface area of the solid is 70 m².

6 0

1 year ago