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deff fn [24]
3 years ago
8

The diagram shows a convex polygon.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

w = 89

Step-by-step explanation:

The three angles shown are all exterior angles. In any polygon, the sum of its exterior angles is equal to 360°.

Set up the equation:

(2w-35)+(2w-47)+(w-3)=360

Combine like terms:

5w - 85 = 360

Add 85 to both sides:

5w = 445

Divide both sides by 5:

w = 89 (ans)

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An ice cream cone is made of a cone shape and half a sphere shape. Explain how you could find the volume of the entire ice cream
kondor19780726 [428]
Call the radius r and the height of the cone h.  The formula for the volume of a cone is r^2*h*pi/3, and the formula for the volume of a sphere is 4r^3/3, so half of a sphere has volume 2r^3/3.  Adding these, our answer is:

\frac{r^2 h \pi+r^3}{3}
4 0
3 years ago
The metric system has several advantages that include all of the following except _____.
4vir4ik [10]

Answer:

Only 10 base units to learn

Step-by-step explanation:

The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units

During conversion in the metric system, which is decimal based, it is only required to move the decimal point

The prefixes which are used to specify multiples and submultiples are the same through out

The decimal system is based on the powers of ten

The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)

Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn

4 0
3 years ago
Identify the solution of each equation from the list given<br><br> 29 + d = 54; 24,25,26
OLEGan [10]

Answer:

25

Step-by-step explanation:

54-29=25

6 0
3 years ago
Read 2 more answers
if a car travels at a speed of 25 mi/h for t hours, then travels 45 mi/h for m hours, what dose the expression 25t + 45m represe
marin [14]

This expression represents the total distance that this car drives.

6 0
3 years ago
Need the answer for the bottom plz
Katena32 [7]

Answer:

16 weeks

Step-by-step explanation:

161+27x>580

solve for x

27x>580-161

27x>419

x=419/27

x=15.52

the smallest number of weeks is 16.

7 0
3 years ago
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