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____ [38]
3 years ago
14

A right triangle has one angle that measures 73°. What is the measure of the other acute angle?

Mathematics
1 answer:
mezya [45]3 years ago
8 0

Answer:

17°

Step-by-step explanation:

A right angle equals 90°, so we add 73 and 90 together to get 163. But a triangle has 180°, so we subtract 163 from 180 to get our answer.

180-163 = 17°

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What are things measured in Quarts?
Allisa [31]
Almost always a liquid
8 0
3 years ago
Find an equation for the line perpendicular to y = − 1 /9 x + 4 with x-intercept at x = -1
prisoha [69]
Y = (-1/9).x + 4
The slope m of the line perpendicular to y = (-1/9).x + 4 is equal to 9:
(if the product of 2 slopes = - 1, then the 2 lines are perpendicular)

y = 9x + b, Since it passes by the point (-1,0) , then:
 0= 9(-1) + b and b = 9
Final equation:

y = 9x+9
 
6 0
3 years ago
Hey yall i would really appreciate your help on this plz
Katarina [22]

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2

Therefore, the length of the opposite side (x), is 27.2

6 0
3 years ago
six men completed a task in 24 hours and 48 minutes. how long would it take four men to complete the same task
Komok [63]

Answer:

37 hours and 12 minutes

Step-by-step explanation:

six men completed a task in 24 hours and 48 minutes which means (24 x 60) + 48 = 1488 minutes

x is the number of minutes it would take 4 men to complete

6(1488) = 4x

8928 = 4x

x = 2232

x = 2220 + 12 or 37 hours and 12 minutes

8 0
3 years ago
Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
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