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klasskru [66]
3 years ago
8

PLEASE HELP ME 20 POINTS FIR THE CORRECT ANSWER

Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

AC ≈ 11 cm

Step-by-step explanation:

i used the pythagorean theorem twice . . .

1st was with ΔCED:

EC² + 7² = 8²

EC² = 64-49

EC = √15

2nd was with ΔAED:

AE² + 7² = 10²

AE² = 100-49

AE = √51

√51 + √15 ≈ 11

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Write an equation of a circle that has the center at the origin and goes through (-3,-6)
dexar [7]

Answer:

x^{2} +y^{2} = 45

Step-by-step explanation:

General Equation of circle is

(x-x_1)^{2} +(y-y_1)^{2} = r^{2}----------- (1)

Here

(x_1, y_1)= (0, 0)

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }

r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }

r= \sqrt{9+36}

r=\sqrt{45}

Substituting values in equation (1)

(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}

x^{2} +y^{2} = 45

6 0
2 years ago
A jug of milk holds 4 quarts. How many liters of milk does the jug hold? Round your answer to the nearest hundredth of a liter.
GuDViN [60]

Answer:

The answer is 3.785, but rounding it to the nearest hundredth is 3.68 or 3.79, depending on rather they wanted you to take the t and round up or just leave it off.

4 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
-24 = -3w +21 what is w?
yuradex [85]

Answer:

w=15

Step-by-step explanation:

7 0
2 years ago
Question:
-Dominant- [34]
C I took the tests on eg today
6 0
3 years ago
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