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zysi [14]
3 years ago
10

Draw a diagram to represent the problem. Then solve.

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
12 1/4 muffins 3×4=12
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Lines CD and DE are tangent to circle A, as shown below:Lines CD and DE are tangent to circle A and intersect at point D. Arc CE
Charra [1.4K]

Answer:

55°

Step-by-step explanation:

Given that;

Lines CD and DE are tangent to circle A and intersect at point D.

and:

Arc CE measures 125 degrees. Point B lies on circle A.

There lies a diagrammatic representation below given a clear picture of what this question looks like;

If arc CE is 125°, what is the measure of ∠CDE?

SO, by using the outside angle theorem

∠CDE = \frac{CBE-CE}{2}

where arc CE = 125°

we can determine CBE  by subtracting it from angle of a circle = 360°

Thus, CBE = 360° - 125°

CBE = 235°

Again; ∠CDE = \frac{CBE-CE}{2}

∠CDE = \frac{235^0-125^0}{2}

∠CDE = \frac{110^0}{2}

∠CDE = 55°

∴ The measure of ∠CDE = 55°

4 0
3 years ago
What is 51/10 as a percent
Luba_88 [7]
The answer to the equation is 51.0%
8 0
3 years ago
One mole of iron (6 × 1023 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-c
MrMuchimi

Answer:

a) k_{s} = 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m

Step-by-step explanation:

Length of iron bar = L = 2.7m;

side length of cross section = a = 0.07cm = 0.0007m;

x = 2.7 cm = 0.027m;

m = 100kg;

ρ = 7.87gm/cm³;

da = 2.28 * 10⁻¹⁰m;

a)

Fnet = F - mg

where Fnet = 0

So,

F = mg where F=k_{s}x

k_{s} = mg/x = 100*9.8/0.027

k_{s} = 3.6 N/m

b)

Nchain = Aw/Aa =a²/(da)²

                           = (o.ooo7)²/(2.28 * 10⁻¹⁰)²

                           = 9.43 * 10¹²

c)

Nbond = L/da = 2.7/2.28 * 10⁻¹⁰

                       = 1.18 * 10¹¹

d)

Spring stiffness of wire = ksi = (Nbondk_{s})/Nchain

                                      = [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)

                                      = 75.08 N/m

8 0
3 years ago
Distribution property of-6(9-9n)
Afina-wow [57]

Answer:

you multiply the -6 by whats in the parenthesis. so it would be -54, and 54n. Because two negatives make a positive

Hope this helped!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A first number plus a second number is 10. Twice the first number plus the second totals 26.
MakcuM [25]
1st number = x
2nd number = y

2x + y = 26
                    -
  x + y = 10

x = 16

26 - (2 x 16) = -6

10 - 16 = -6


Number 1 is 16
Number 2 is -6


3 0
3 years ago
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