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Zarrin [17]
2 years ago
8

Work out the size of the angle X. Give your answer correct to 3 significant figures.

Mathematics
2 answers:
Alika [10]2 years ago
6 0

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

aleksley [76]2 years ago
3 0

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

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The triangles are similar. Write a similarity statement for the triangles.
antoniya [11.8K]

Hope this helps you

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4 0
2 years ago
the side of a triangle are in the extended ratio of 3:2:4 if the length of the shortest side is 6cm what is the length of the lo
Nat2105 [25]
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.

2 is to 6 cm as 4 is to x

2/6 = 4/x

2x = 4 * 6

2x = 24

x = 12

Answer: The longest side measures 12 cm.
7 0
3 years ago
What would the equation be ?
Vikentia [17]

Answer:

y = 4/5x-18/5

Step-by-step explanation:

First we find the slope from the given points (-3,-6) (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2 - -6)/(2 - -3)

   (-2+6)/( 2+3)

  4/5

The slope intercept form of an equation is

y = mx +b  where m is the slope and b is the y intercept

y = 4/5 x +b

Substitute a point into the equation to find b

-6= 4/5(-3) +b

-6= -12/5 +b

Add 12/5 to each side

-6 +12/5 = -12/5 +12/5 +b

Get a common denominator

-30/5 + 12/5 = b

-18/5 =b

The equation is

y = 4/5x-18/5

4 0
3 years ago
Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5, −3).
ankoles [38]

y = mx + b, where m = slope, and b = y-intercept.

Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)

y = (4/5)x + b

-3 = (4/5)(-5) + b

-3 = -4 + b

1 = b


Then replace b in the first equation to get the answer

y = (4/5)x + 1

5 0
3 years ago
A cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm. What is its density?
AlekseyPX

Volume of a cone is equal to pi*r^2*(h/3)

3.14*5^2*2/3 = 52.36 cubic cm.

Density = mass/volume

 6 grams/ 52.36 cm^3= 0.1146

Round to 2 decimal places to get D.0.11 g/cm^3

7 0
3 years ago
Read 2 more answers
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