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shtirl [24]
3 years ago
10

.What is the percent increase from 1987 to today?

Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

In other words, $100 in 1987 is equivalent in purchasing power to about $227.09 in 2020, a difference of $127.09 over 33 years. The 1987 inflation rate was 3.65%. The current inflation rate (2019 to 2020) is now 2.49% 

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If x varies inversley as y and x=4 when y =8, find x when y=1
nikitadnepr [17]

Answer:

x = 32

Step-by-step explanation:

If x and y vary inversely, then xy = k where k is the constant of proportion

4(8) = 32 = k

Now, xy = 32

         1(x) = 32

           x = 32

4 0
3 years ago
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
2 years ago
Name the angle relationship
Mice21 [21]

Answer:

Alternate interior

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
AB and CD are parallel find the value of y<br> Show clearly how you got your answers with reasons
Zina [86]

Answer:

y = 167°

Step-by-step explanation:

The vertex of the triangle = 154° ( alternate angle to 154° )

The triangle has 2 equal legs so is isosceles with 2 base angles congruent

base angle = \frac{180-154}{2} = \frac{26}{2} = 13°

base angle and y are adjacent angles, lie on straight line AB and sum to 180°

y + 13° = 180° ( subtract 13° from both sides )

y = 167°

5 0
2 years ago
Please help!!!! My assignment is almost due!!!
NeX [460]

Answer:

15

Step-by-step explanation:

the triangles are similar so will be the same proprotion,

I have attached a picture showing how I solved this. the second traingle is 3 times as large (15 by 12)   compared to the first triangle which is 4 by 5.

3 0
2 years ago
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