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3 years ago

What is the classification of the angle shown??

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

Answer:

Acute

Step-by-step explanation:

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Sin(79)/17 = sin(x)/12

kondaur [170]

Answer:

Step-by-step explanation:

We want to solve the equation $\frac{\sin(79)}{17}=\frac{\sin(x)}{12}$

We multiply through by 12 to obtain:

$\sin(x)=\frac{\sin(79)}{17}*12$

We simplify the RHS to obtain:

$\sin(x)=0.6929$

This implies that:

$x=\sin^{-1}(0.6929)$

$x=43.86\degree$

To the nearest degree, x=44 degrees

5 0

3 years ago

To determine the height of a pine tree, you measure the shadow cast by the tree and find it to be 20 feet long. Then you measure

Otrada [13]

Answer:

Height of the pine tree = 60 in.

Step-by-step explanation:

Since, triangle formed by the tip of the tree and tip of the shadow of the tree will be similar to each other,

By the property of similarity, corresponding sides of the similar triangles will be proportional.

$\frac{x}{20}=\frac{36}{d}$

If d = 12 inches,

$\frac{x}{20}=\frac{36}{12}$

x = $\frac{20\times 36}{12}$

x = 60 in.

Therefore, height of the pine tree will be 60 in.

7 0

3 years ago

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total

IgorLugansk [536]

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

<h3>Word problems</h3>

According to the task content;

The total distance covered running and cycling per day is; 20miles

Additionally, she cycles a total of 105 miles each week.

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

105/7 = 15.

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

r = 20 -15 = 5.

Hence, The solution is 5, which represents the number of miles she runs each day.

Read more on word problems;

brainly.com/question/21405634

4 0

2 years ago

How many triangles exist with the given side lengths? 3 cm, 5 cm, 9 cm

aksik [14]

Answer:

It would be one triangle

Step-by-step explanation:

Because the Lengths 5 cm and 3 cm are the smaller so that means you need to add them up and if they are bigger than the biggest number than you have got yourself a triangle

3 0

3 years ago

33+34+35+36+...+104 what is the sum of the sequence?

Ray Of Light [21]

This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

$S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}$

6 0

4 years ago