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raketka [301]
3 years ago
14

29.1 to the nearest whole number

Mathematics
2 answers:
aleksley [76]3 years ago
7 0
29.1 rounded to the nearest whole number is 29.
Step2247 [10]3 years ago
3 0
When rounding to the nearest whole number look at the number directly after the decimal. if it is 5 or greater you round up. SInce 29.1 has a 1 directly after the decimal the nearest whole number would be 29.
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Questions 16-17 | Math 1 - 0 points Solve the graph Help needed !!
iris [78.8K]

Answer:

16) The area of the circle is 25.1 units²

17) JKLM is a parallelogram but not a rectangle

Step-by-step explanation:

16) Lets talk about the area of the circle

- To find the area of the circle you must find the length of the radius

- In the problem you have the center of the circle and a point on

 the circle, so you can find the length of the radius by using the

 distance rule

* Lets solve the problem

∵ The center of the circle is (1 , 3)

∵ The point on the circle is (3 , 5)

- Using the rule of the distance between two points

* Lets revise it

- The distance between the two points (x1 , y1) and (x2 , y2) is:

 Distance = √[(x2 - x1)² + (y2 - y1)²]

∴ r = √[(3 - 1)² + (5 - 3)²] = √[4 + 4] = √8 = 2√2 units

∵ The area of the circle = πr²

∴ The area of the circle = π (2√2)² = 8π = 25.1 units²

* The area of the circle is 25.1 units²

17) To prove a quadrilateral is a parallelogram, prove that every

     to sides are parallel or equal or the two diagonal bisect

     each other

* The parallelogram can be rectangle if two adjacent sides are

  perpendicular to each other (measure of angle between them is 90°)

 or its diagonals are equal in length

- The parallel lines have equal slopes, then to prove the

  quadrilateral is a parallelogram, we will find the slopes of

  each opposite sides

* Lets find from the graph the vertices of the quadrilateral

∵ J = (0 ,2) , K (2 , 5) , L (5 , 0) , M (3 , -3)

- The opposite sides are JK , ML and JM , KL

- The slope of any line passing through point (x1 , y1) and (x2 , y2) is

 m = (y2 - y1)/(x2 - x1)

∵ The slop of JK = (5 - 2)/(2 - 0) = 3/2 ⇒ (1)

∵ The slope of LM = (-3 - 0)/(3 - 5)= -3/-2 = 3/2 ⇒ (2)

- From (1) and (2)

∴ JK // LM

∵ The slope of KL = (0 - 5)/(5 - 2) = -5/3 ⇒ (3)

∵ The slope of JM = (-3 - 2)/(3 - 0)= -5/3 ⇒ (4)

- From (3) and (4)

∴ KL // JM

∵ Each two opposite sides are parallel in the quadrilateral JKLM

∴ It is a parallelogram

- The product of the slopes of the perpendicular line is -1

* lets check the slopes of two adjacent sides in the JKLM

∵ The slope of JK = 3/2 and the slope of KL = -5/3

∵ 3/2 × -5/3 = -5/2 ≠ -1

∴ JKLM is a parallelogram but not a rectangle

4 0
3 years ago
Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Comb
Vilka [71]

Answer:

-4g^4 -3g^3 + 4g^2 +5g +3

Step-by-step explanation:

g^2 + -4g^4 +5g +9 -3g^3 + 3g^2 -6

-4g^4 -3g^3 + 4g^2 +5g +3

3 0
3 years ago
A pole, 90 cm long, is painted green, white, and black in the ration 3:4:2. What length of the pole is painted black?
ollegr [7]
3u + 4u + 2u = 9u
9u = 90
1u = 90/9 = 10

since black is 2u ( from the ratio given)
2u = 10 x 2 = 20

Answer : 20cm of the pole is painted black.

The bar diagram is in the picture :)

3 0
3 years ago
I urgently need the answer to number 6 with the work shown
Tatiana [17]
First option is correct
5 0
3 years ago
Read 2 more answers
Three years ago, you purchased a stock at a price of $33.48. The stock paid annual dividends of $.60 per share. Today, the stock
mixas84 [53]

Answer:

10.51%

Step-by-step explanation:

Data provided in the question:

Period Initial value = $33.48

Period end value = $35.20

Annual dividend paid = $0.60

Total time = 3 years

Therefore,

the total dividend paid i.e the income = 3 × $0.60 = $1.80

Now,

The holding period is given as:

= \frac{ \textup{Income + end period value - initial period value }}{\textup{initial period value}}\times100\%

= \frac{ \textup{1.80 + 35.20 - 33.48}}{\textup{33.48}}\times100\%

= \frac{ \textup{3.52}}{\textup{33.48}}\times100\%

= 10.51%

5 0
3 years ago
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