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labwork [276]
3 years ago
7

Find an equation for the plane that is perpendicular to the line l(t) = (2, 0, 9)t + (3, −1, 1) and passes through (9, −1, 0).

Mathematics
1 answer:
vovangra [49]3 years ago
4 0
The plane will have its normal vector equal to the direction vector of the line (2, 0, 9). Its equation is
  2x +9z = (2, 0, 9)•(9, -1, 0)
  2x +9z = 18
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URGENT! Please and Thanks :)
eimsori [14]
For this case we will define the following:
 A, B: are the values of the triangle angles
 a, b: are the values of the lengths of the sides opposite the angles A, B.
 We then have to use the law of the sine:
 \frac{sinB}{b} = \frac{sinA}{a}
 Clearing the angle B we have:
 sinB = \frac{sinA}{a}*b
 B = arcsin(\frac{sinA}{a}*b)
 Substituting values we have:
 B = arcsin(\frac{sin113}{200}*134)
 B = 38.08
 Answer:
 
the following is true:
 
A. angle B=38.08 degrees 

6 0
3 years ago
Work out the area of this triangle.<br><br> I will mark you as brainliest, please help quick.
nataly862011 [7]

Answer:

<u><em>22 cm²</em></u>

Step-by-step explanation:

Work out the area of this triangle.

Area Formula: 1/2b * h where b = base (11cm) and h = height (4 cm)

1/2 *11 * 4 =

5.5 * 4 =

<u><em>22 cm²</em></u>

3 0
2 years ago
Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation
Andru [333]

Answer:

<h2>y=0.35x+140</h2>

Step-by-step explanation:

Step one:

given data

The rental charge is $140 per day

additional charges per mile driven = $0.35 per mile

Step two:

Required

The expression for the total charges

let the number of miles be x, and the total charges be y

the expression for the total charges is

y=0.35x+140

4 0
2 years ago
4.) Which best describes the relationship between &lt; AFB and &lt; AFD?
MAVERICK [17]

Answer:

C. Supplementary angles

Step-by-step explanation:

Given

<AFB = 72

Required

Relationship of <AFB and <AFD

<AFB and <AFD are on a straight line and angle on a straight line is 180

From the presentation of both angles,

<AFB + <AFD = 180

Substitute 72 for <AFB

72 + <AFD = 180

Make <AFB the subject of formula

<AFD = 180 - 72

<AFD = 108

Since both <AFB and <AFD sums to 180, then they are supplementary angles.

Hence, the relationship between both angles is supplementary angles

5 0
3 years ago
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 4 seconds?
Mumz [18]

Answer:

72.2 m

Step-by-step explanation:

65 km/1 h = (65000 m / 3600s) = 18.05 m/s

Distance = speed * time = 18.05 m/s*4 s = 72.2 m

8 0
3 years ago
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