All categories

3 years ago

Find the polygon that is similar to ABCD.

Mathematics

2 answers:

Yuri [45]3 years ago

5 0

I think the answer should be B

Sliva [168]3 years ago

4 0

It’s the second one!!

You might be interested in

Es 18 de junio de 1815, las tropas napoleónicas se encuentran justo adelante, tu eres el ingeniero en balística y el general Wel

Airida [17]

Answer:

89.1° or -1.4°

Step-by-step explanation:

1. Location:

You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.

The French troops are about 50 m below you and 1.2 km distant.

2. Finding the firing angle

Data:

R = 1200 m

u = 600 m/s

h = -50 m (the height of the target)

a = 9.8 m/s²

We have two conditions.

Horizontal distance

(1) 1200 = 600t cosθ

Vertical distance

(2) -50 = 600t sinθ - 4.9t²

Divide each side of (1) by 600cosθ.

$(3) \, t =\dfrac{2}{\cos \theta}$

Substitute (3) into (2)

$-50 = 600t \sin \theta - 4.9t^{2} = 600 \left( \dfrac{2}{\cos \theta} \right ) \sin \theta - 4.9 \left( \dfrac{2}{\cos \theta} \right )^{2}\\\\(4) \, -50 = 1200 \tan \theta - \dfrac{19.6}{\cos^{2} \theta}$

Recall that

(5) sec²θ = 1/cos²θ = tan²θ + 1

Substitute (5) into (4)

$-50 = 1200 \tan \theta - 19.6 \left(\tan^{2} \theta}+ 1\right )$

Set up a quadratic equation

$\begin{array}{rcl}-50 & = & 1200 \tan \theta - 19.6\tan^{2} \theta -19.6 \\0 & = & 1200 \tan \theta - 19.6\tan^{2} \theta + 30.4\\0 & =&19.6\tan^{2} \theta - 1200 \tan \theta - 30.4\\0 & =&\tan^{2} \theta - 61.224 \tan \theta - 1.551\\\end{array}$

Solve for θ

Use the quadratic formula.

tanθ = 61.249 or -0.025

θ = arctan(61.249) = 89.1° or

θ = arctan(-0.025) = -1.4°

3 0

3 years ago

Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

Fantom [35]

Answer:

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }$

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = $\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}$

= $\sqrt{5^2+0^2+(-12)^2}$

= $\sqrt{25+144}$

= $\sqrt{169}$

= 13 → B

4 0

3 years ago

Which function is represented by the graph? f(x) = −2|x| + 1 f(x) = |x| + 1 f(x) = -2|x + 1| f(x) = |x + 1|

nevsk [136]

The answer is A. F(x)= -2 |x| + 1

7 0

3 years ago

Read 2 more answers

Driving 70 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destin

qwelly [4]

Answer:

.......................

Step-by-step explanation:

4 0

3 years ago

What’s the definition of a IF- then form

zepelin [54]

An original conditional statement written in if- then form uses words "if" and "then". The "if" part contains the hypothesis and the "then" part contains the conclusion.

8 0

3 years ago