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Shtirlitz [24]
3 years ago
12

Which side of ΔDEF is the longest?

Mathematics
2 answers:
astraxan [27]3 years ago
7 0
The answer is B line DF
g100num [7]3 years ago
6 0

E = 77 degrees is the largest angle

Side DF is the longest side because it is opposite from the largest angle

The longest side of a triangle is always opposite the largest angle.

Answer: Choice B) line DF

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Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi
Maksim231197 [3]

Given:

The equation is:

x(4+5)=54

To find:

The next step in simplifying the equation by using distributive property.

Solution:

Distributive property: According to this property if a, b and c are three real numbers, then

a(b+c)=ab+ac

We have,

x(4+5)=54

Using the distributive property, we get

x(4)+x(5)=54

It can be written as:

4x+5x=54

Therefore, the next step of the simplification is 4x+5x=54.

5 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth
Vesna [10]

Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = \pir^{2} x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = \pi x 8^{2} x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

7 0
3 years ago
What is 56.23 × 104 in standard form?
aleksklad [387]

Answer:

5.23×10^5

Step-by-step explanation:

You mean 56.23×10^4?

That would be 5.623×10×10^4, or 5.23×10^5

4 0
3 years ago
Read 2 more answers
Solve the following equation for x: 6(4x+5)= 3(x+8)+3. Round to the nearest hundredth.
gavmur [86]
6(4x + 5) = 3(x + 8) + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
24x - 3x = 27 - 30
21x = - 3
x = -3/21
x = - 0.143 <==
8 0
3 years ago
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Find the 9th term of the geometric sequence 5, -25, 125, ...
arlik [135]

Answer:

Step-by-step explanation:

a = 5

r = -5

n = 9

t_9 = a r^(n - 1)

t_9 = (-1)^n*5 (-5) ^ 8

t_9 = (-1)^9 *  5 *  (-5) ^8

t_9 = -1 ( 1953125)

t_9 = - 1953125

6 0
3 years ago
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