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OLga [1]
3 years ago
7

Find the unknown measure of the rectangle

Mathematics
2 answers:
olga2289 [7]3 years ago
5 0

Answer:

19 meters

Step-by-step explanation:

Hope it helps :)

Margarita [4]3 years ago
5 0

Answer:

19 square meters

Step-by-step explanation:

Area= L • W

57= ? • 3

So you would divide:

57/3 = 19

Therefore, 19 is our length and unknown measurement.

Area= 19 • 3

Area= 57

Hope this helps, good luck!

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Evaluate f(x)=e2x−1+2 when x=3. Give an approximate answer rounded to three decimal places.
olganol [36]

Answer:

f(3) ≈ 17.310

Step-by-step explanation:

e = 2.71828

Step 1: Define

f(x) = e2x - 1 + 2

x = 3

Step 2: Substitute and evaluate

f(3) = e2(3) - 1 + 2

f(3) = 6e + 1

f(3) = 16.3097 + 1

f(3) = 17.3097

f(3) ≈ 17.310

7 0
4 years ago
Which equation represents the circle described? (in picture)
Sedaia [141]
You are right. In circle equation we have =r² so the correct answer will be C od D.  But we have to calculate the center of a circle.

x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24

Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

And we have:

(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}

So the answer is C (the same left side of equation).
6 0
3 years ago
If there are 5 routes to travel between A and B, how many options are there for a person to travel form A to B and retrun back?
kupik [55]

Answer:

25

Step-by-step explanation:

5 0
3 years ago
PLEASE ANSWER AS FAST AS YOU CAN !Which of the following choices must be true in order for ΔABC ≅ ΔEDC by the AAS congruency the
Goryan [66]

Answer:

A = E and B = D

Step-by-step explanation:

AAS means triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. In this, A corresponds to E and B to D. BC and CD are congruent. Therefore the triangles are congruent

6 0
3 years ago
∆ABC is a right angled at B and D is a point on BC if AD = 18cm BD = 9cm and CD =4cm Find AC
Gemiola [76]

In triangle, ABD,

AD²= AB²+BD²

AB² = AD²-BD²

AB² = 18²-9² = 324-81 = 243

AB = √243

In triangle, ABC,

AC² = AB²+BC²

AC² = (√243)²+(13)²

AC² = 243+169

AC = √412

AC = 20.29

3 0
3 years ago
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