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Andrej [43]
3 years ago
6

Determine if the proportion is true

Mathematics
2 answers:
gogolik [260]3 years ago
8 0

Answer:

False Proportions

Step-by-step explanation:

2/5 does not equal 5/10

Converting both of them to a percent,

2/5 = 40%

5/10 = 50%

A clear difference of percentage. Another convertion,

2/5 = 0.4

5/10 = 0.5

Another clear difference.

Inessa [10]3 years ago
6 0
Not true. 2/5 is equivalent to 4/10
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Solve for the value of k. (k+8) 400​
pashok25 [27]

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

  • 7k + 8 + 90 + 40 = 180
  • 7k + 138 = 180
  • 7k = 180 - 138
  • 7k = 42
  • k = 42/7
  • k = 6

hence the value of k = 6

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=2x%28x%20-%202%29%5E%7B2%7D%20%20%2B%203x%28x%20%2B%203%29%5E%7B2%7D%20%20-%20x%5E%7B2%7D%20%2
Ratling [72]

= x·[2(x²- 4x + 4) + 3(x² + 6x + 9) - x² + 5x]

= x(2x² - 8x + 8 + 3x² + 18x + 27 - x² + 5x)

= x(4x² + 15x + 35)

5 0
3 years ago
A food can claim it is "high in" a particular nutrient if it contains 20% or more of the DV. This food is a "high ____" food.
oee [108]

Answer: Iron

Explanation:

The food contain high iron food as the daily value (DV) of the iron is 45% and most of the nutrient claimed that food contain low sodium but contain good source of the fiber. The food is high in the amount of the nutrient with 20% daily value.

The daily value actually recommend the minimum amount of the particular nutrient which everyone should consume in daily life.

 

3 0
3 years ago
the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area​
kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area​ .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3

The curved surface area of the cylinder is given by :

A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0
3 years ago
A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
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