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Inessa [10]
3 years ago
12

Find the value of x. Round the length to the nearest tenth.

Mathematics
2 answers:
Mamont248 [21]3 years ago
5 0
From right triangle trigonometry, we have the following:

\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }, 


where the "opposite side" means the opposite side to angle with measure 35^o, and "adjacent side" means the adjacent side to angle with measure 35^o.

tan(35^o) is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

 This gives tan(35^o)=0.7


Thus, back in the equation \displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side } we substitute as follows and solve:


\displaystyle{0.7= \frac{x }{12 }\\\\

x=0.7\cdot12=8.4


Answer: 8.4 cm
Sergeu [11.5K]3 years ago
4 0
A squared + B squared = c squared 
35 squared +12 squared = 1369
You might be interested in
The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is
marysya [2.9K]
Comment
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB

Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2 
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer


Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3

Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3   <<<<< Slope CD Answer

Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13

Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2 
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
 
x2 = 6 or
x2 = 4

Using y2 = 3x - 13
for x2  = 4
then y2 = 3(4) - 13
y2 = - 1

for x2 = 6
y2 = 3*6 - 13
y2 = 5

Possible Answers  for D
D = (4,-1)
D = (6,5)

I've included a graph to show a graphical solution. 

Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.

7 0
3 years ago
The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm
Virty [35]

Answer:

40cm

Step-by-step explanation:

volume of a cylinder= πr²h

V=24litres, Area=πr²=600cm², height=?

converting litres to cm³

1litre=1000cm³

24litres= 24×1000

=24000cm³

24000=600× h

h= 24000/600

= 40cm

5 0
2 years ago
What is the surface area of a cube that has a side length of 8 mm?
nikklg [1K]
Surface area of a cube = 6l²

Now given length = l = 8 mm

= 6*8² = 6*64 = 384 mm².

Thank you !!
6 0
2 years ago
Read 2 more answers
X^2 + y^2 =-6x-14-6y
skad [1K]

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

thats if your solving for x if not to math w    l   ay

7 0
2 years ago
Please help I will give brainliest to first person who answers!
BigorU [14]

Answer:

71 degrees

It's the measure of angle 1.

4 0
2 years ago
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