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hoa [83]
2 years ago
12

An angle measures 32° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

Answer:

29°; 61°

Step-by-step explanation:

Let one angle  = x°

Other angle = (x + 32)°

x + x + 32 = 90   {given they are complementary}

2x + 32 = 90

2x = 90 -32

2x = 58

x = 58/2

x = 29

One angle  = 29°

Other angle = 29 + 32 = 61°            

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The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.
djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

where,

r_1 = radius of sphere = \frac{Diamtere}{2}=\frac{8cm}{2}=4cm

r_2 = radius of cylindrical wire = \frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

\frac{4}{3}\times r_1^3=r_2^2h

\frac{4}{3}\times (4)^3=(0.1)^2h

h=8533.33cm\approx 8533cm

Therefore, the length of the wire is, 8533 cm

6 0
3 years ago
Find the component form of the vector that translates P(4,5) to p'.
olga_2 [115]

Answer:

The component form of the vector P'P is \left \langle -7, 2 \right \rangle

Step-by-step explanation:

The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;

The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7

The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2

The component form of the vector P'P = \left \langle -7, 2 \right \rangle

6 0
2 years ago
Which of the following describes how the margin of error is calculated?
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3/4 divided by 5 1/5 =
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5 0
3 years ago
If 2+2 is 4 and 5+5 is 10 what the hell is this
Romashka-Z-Leto [24]
Is there supposed to be more to the question or?
8 0
2 years ago
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