The measure of angle of ∠BAM (θ) will be 9°. Then the correct option is D.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
ABCD is a rectangle with AB = 3BC.
And M is the mid-point of BC.
2BM = BC
Then the tangent of angle of ∠BAM (θ) will be
tan θ = (BM) / (AB)
tan θ = (BM) / (3BC)
tan θ = (BM) / (3 × 2BC)
tan θ = 1/6
θ = tan⁻¹ (1/6)
θ = 9.46°
θ ≅ 9°
Then the correct option is D.
More about the trigonometry link is given below.
brainly.com/question/22698523
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Answer:
<em>D. v equals the square root of quantity z times the sum of w plus z end quantity</em>
Step-by-step explanation:
We will use pythagoras theorem to solve this question. According to ΔABD, side AB is the hypotenuse of the triangle while AD and BD are the opposite and adjacent sides.
From ΔABD, v² = z² + y² ... 1
Also from ΔABC, side AC is the hypotenuse, AB and BC are the opposite and the adjacent side. Since AC = w+z, AB = v and AC = x, then;
AC² = AB²+BC²
(w+z)² = v²+x²
v² = (w+z)² - x² ... 2
Also, from ΔBCD, x² = y²+w²... 3
Substituting equation 3 into 2 will give;
v² = (w+z)² - x²
v² = (w+z)² - (y²+w²) ... 4
Equating 1 and 4
z²+y² = (w+z)² - (y²+w²)
z²+y² =w²+z²+2wz - (y²+w²)
z²+y² =w²+z²+2wz - y² - w²
z²+y² = z²+2wz - y²
2y² = 2wz
y² = wz ... 5
From equation 1; v² = z² + y²
substituting eqn 5 into 1;
v² = z²+wz
v = √z(w+z)
Hence the correct expression of v in words is 'v equals the square root of quantity z times the sum of w plus z end quantity'
Answer:
45 different outcomes
Step-by-step explanation:
There are 10+15+20 = 45 pens in the bag
Since he is pulling one pen, and there are 45 different pens in the bag, there are 45 different outcomes
Answer:
he probably just wanted you to make sure no one takes his phone since it seems that he trusts you with it I guess.
Answer: $11,727.27
Step-by-step explanation:
CD: $X
Savings: $4X
Mutual: $(15,000-5X)
0.02X + 0.01*4X + 0.1(15000-5x) = 210
0.06X + 1500 - 0.5X = 210
-0.44X = 210-1500 = -1290
X = 2931.82
4X = 4*2931.82 = $11,727.27