Answer:
The answer is A. k = 4.25.
Step-by-step explanation:
To find proportionality, solve for 8.5 divided by 2 and 17 divided by 4.
Both of those answers are 4.25, so that would be the final answer.
<h2><u><em>
PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
Solving for h:
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
Answer:
5(9x + 2y + 10)
or
x = 0
y = -5
Step-by-step explanation:
If you are just factoring this, you will factor a 5 out from everything.
5(9x + 2y + 10)
or if you are trying to solve just isolate one of the variables and then substitute it into the original equation
45x + 10y = 50
10y = 50 - 45x
y = 5 - 4.5x
45x + 10(5-4.5x) + 50
45x + 50 - 45x + 50
x=0
45(0) + 10y + 50
0 + 10y + 50
10y + 50
10y = -50
y = -5
and it would be x = 0 and y = -5
Answer:
$2.97
Step-by-step explanation:
