All categories

2 years ago

Examples

Mathematics

1 answer:

nekit [7.7K]2 years ago

4 0

The plane must descend at an angle of 7.25319°.

Step-by-step explanation:

Step 1; The plane is 44km away from the control tower and is flying at a height of 5.6 km. So a right-angled triangle can be formed using these measurements. The triangle's adjacent side measures 44 kilometers while the opposite side measures 5.6 kilometers. We need to find the angle of the triangle.

Step 2; Since we have the length of the opposite side and the length of the adjacent side we can determine the tan of any unknown angle. Assume the angle of the triangle is x°.

tan x° = $\frac{opposite side}{adjacent side}$ = $\frac{5.6}{44}$ = 0.127272, x° = $tan^{-1}$ (0.127272) = 7.25319°.

So the plane's angle of descent must be 7.25319° to land near the control tower.

You might be interested in

5•9-10 ———— 5-(-2).

Alenkinab [10]

Answer:

35/7 or 5

Step-by-step explanation:

so you multiply 5 and 9 which is 45- 10 which is 35 but then its 5-(-2) which when doing this a variable minus a negative makes it a positive so then its 5+2 which is 7 then you have 35/7 or 5

4 0

2 years ago

If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the

Law Incorporation [45]

Δ DUM Δ MAP

hypotenuse: 15 2y-3
short leg: 12 0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

6 0

2 years ago

Write as an expression " 6 times smaller than 42"

Mademuasel [1]

Answer:

42/6 or 7

Step-by-step explanation:

5 0

2 years ago

What is the slope of the line?

Yanka [14]

Answer:

$m=\frac{4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (3, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: $m=\frac{4-0}{3+2}$
Subtract/Add: $m=\frac{4}{5}$

3 0

2 years ago

) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.

snow_tiger [21]

The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

i j k
5 -1 -6
1 1 1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>

Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.

5 0

3 years ago