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3 years ago

What is the value of x

Mathematics

2 answers:

DochEvi [55]3 years ago

6 0

Answer:

Step-by-step explanation:

because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find

angle 5 = 135

angle 5 and 5x+35 are alternate interior angles, so they have the same value

135=5x+35

100=5x

20=x

Anit [1.1K]3 years ago

6 0

Answer:

Thanks for the points :3

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Weapon of math destruction trig. day 1

ivolga24 [154]

The questions are illustrations of trigonometry ratios and right triangles

The value of x is 11.8310
The tree is 23.3154 feet tall
The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

$\sin(25) =\frac{5}{x}$

Make x the subject

$x =\frac{5}{\sin(25)}$

This gives

$x =11.8310$

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

$\tan(25) =\frac{h}{50}$

Make h the subject

$h = 50 \times \tan(25)$

This gives

$h = 23.3154$

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

$\tan(37) =\frac{h}{500}$

Make h the subject

$h = 500 \times \tan(37)$

This gives

$h = 376.7770$

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

8 0

2 years ago

Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a

maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

$18.75= 1.25x +3.75y$

Multiply the whole equation by 4 to remove the decimals:

$75= 5x +15y$

Simplify by dividing the whole equation by 5:

$15 = x + 3y$

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

x +3y= 15 -----(2)

x= -3y +15

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0

3 years ago

Read 2 more answers

Anyone????? x= what???

ICE Princess25 [194]

Answer:

x=66°

Step-by-step explanation:

48+x+x=180

2x=180-48

2x=132

x=132/2=66

6 0

3 years ago

Read 2 more answers

Hey loves!!! Can someone plz help me with this math question?

Otrada [13]

Answer:

Hey there!

They are congruent by AAS, where two angles and one side is congruent.

Hope this helps :)

6 0

3 years ago

Write 1,386 as the product of its prime factors. A. 2 x 3 x 3 x 7 x 11 B. 2 x 693 C. 2 x 3 x 7 x 33 D. 2 x 3 x 231

Olenka [21]

Hello there,

The "prime factor's" of 1,386 would be "2*3*3*7*11.

When we multiply those together. We get 1,386.

Hope this helps.

~Jurgen

5 0

3 years ago