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soldier1979 [14.2K]
2 years ago
5

Heller Co. incurred the following costs in 2005:

Mathematics
1 answer:
professor190 [17]2 years ago
3 0

Answer:

D

Step-by-step explanation:

Wee have research and development costs:

$150,000  +  $185,000 = $335,000  +  $125,000  =TOTAL  $460,000

Testing for evaluation of new products can be considered since these new products are results from the research and development done by Heller Co.

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Huilan is 6 years older than Thomas. The sum of their ages is 80 . What is Thomas's age?
Yuki888 [10]
80-6= 74. 74/2=37 thomas age is 37
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3 years ago
What is the domain of the given function?
loris [4]
All of the x values
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3 years ago
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In the circle below, AD is a diameter and AB is tangent at A. suppose mADC=228. Find the measures of mCAB and mCAD. Type your nu
Tju [1.3M]

Answer:

m∠CAB = 66°

m∠CAD = 24°

Step-by-step explanation:

<em>m∠CAB</em>

The given parameters are;

The measure of arc m\widehat{ADC} = 228°

The diameter of the given circle = \overline{AD}

The tangent to the circle = \underset{AB}{\leftrightarrow}

The measure of m∠CAB and m∠CAD = Required

By the tangent and chord circle theorem, we have;

m∠CAB = (1/2) × m\widehat{AC}

However, we have;

m\widehat{AC} + m\widehat{ADC} = 360° the sum of angles at the center of a circle is 360°

∴ m\widehat{AC} = 360° - m\widehat{ADC}

Which gives;

m\widehat{AC} = 360° - 228° = 132°

m\widehat{AC} = 132°

Therefore;

m∠CAB = (1/2) × 132° = 66°

m∠CAB = 66°

<em>m∠CAD</em>

Given that  \overline{AD} is the diameter of the given circle, we have

The tangent, \underset{AB}{\leftrightarrow}, is perpendicular to the radius of the circle, and therefore \underset{AB}{\leftrightarrow} is also perpendicular to the diameter of the circle

∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines

By angle addition property, we have;

m∠DAB = m∠CAB + m∠CAD

∴ m∠CAD =  m∠DAB - m∠CAB

By substitution, we have;

m∠CAD = 90° - 66° = 24°

m∠CAD = 24°

7 0
3 years ago
Plz help me without putting links or files
densk [106]

Answer:

Step-by-step explanation:

4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4

1 + 8/8 + 3/2 + 3/4

1 + 1 + 12/8 + 6/8

2 + 18/8

2 + 2 1/4

= 4 1/4 pounds

8 0
3 years ago
On a sunny day, the tree in your backyard casts a shadow of 16 feet. At the same time, you cast a shadow of 4 feet. You are 5 fe
morpeh [17]
Let, the height of a tree = x

Then, x/16 = 5 1/4  / 4
x/16 = 21 / 4*4
x/16 = 21/16
x = 21

In short, Height of the Tree is 21 Feet

Hope this helps!
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3 years ago
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