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My name is Ann [436]
2 years ago
8

Find measure of angles B, E, D and C and the length of BC.

Mathematics
2 answers:
melomori [17]2 years ago
6 0

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

choli [55]2 years ago
5 0

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

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DanielleElmas [232]
<h3>Answer: approximately 0.19 meters long</h3>

The more accurate value is 0.18982439916059 but this value isn't exact

========================================================

Explanation:

The volume of this rectangular block is 0.24*0.19*0.15 = 0.00684 cubic meters.

If we had a cube of this volume, then it has some side length x such that x^3 = 0.00684

Apply the cube root to both sides. This is the same as raising both sides to the 1/3 power

x^3 = 0.00684\\\\x = \sqrt[3]{0.00684}\\\\x = (0.00684)^{1/3}\\\\x \approx 0.18982439916059\\\\x \approx 0.19\\\\

The side length of the cube is approximately 0.19 meters long

7 0
3 years ago
Math help please show work thanks
GalinKa [24]

Problem 5

d = 29 = diameter

r = d/2 = 29/2 = 14.5 = radius

SA = surface area of sphere

SA = 4*pi*r^2

SA = 4*pi*(14.5)^2

SA = 841pi

SA = 841*3.14

SA = 2,640.74 square inches

To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.

2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft

<h3>Answer: 18.3 square feet (approximate)</h3>

=====================================

Problem 6

d = 10.7 = diameter

r = d/2 = 10.7/2 = 5.35 = radius

L = 22.3 = slant height

SA = surface area of the cone

SA = pi*r^2 + pi*r*L

SA = pi*(5.35)^2 + pi*5.35*22.3

SA = 147.9275pi

SA = 147.9275*3.14

SA = 464.49235

<h3>Answer:  464.49235 square cm (approximate)</h3>
8 0
3 years ago
Can someone explain to me how this has multiple answers? I really don't understand! When I did it I only got the first answer. P
Vesna [10]

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3 0
3 years ago
What’s the comparison to 3/25 and 22/25
In-s [12.5K]

Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

5 0
2 years ago
Julia makes friendship bracelets. She was recently given nine bracelets from different people. At Christmas, she plans to give a
sergey [27]

Answer:

The number of bracelets with she start are 48.

Step-by-step explanation:

Given:

Julia was recently given 9 bracelets. She plans to give 1/3 of her bracelets. She will be left with 23.

Now, we need to find with how many did she start.

Let the bracelets with she start be x.

She plans to give \frac{1}{3}ofx = \frac{x}{3}.

According to question:

x-9-\frac{x}{3}=23

On solving the equation:

\frac{3x-27-x}{3} =23

<em>Multiplying both sides by 3 we get:</em>

3x-27-x=69

2x-27=69

<em>Adding both sides by 27 and then dividing by 2 we get:</em>

x=48

Therefore, the number of bracelets with she start are 48.

6 0
2 years ago
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