All categories

2 years ago

The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length

Mathematics

1 answer:

Paha777 [63]2 years ago

5 0

Answer:

Step-by-step explanation:

Area of trapezium = 1/2 × h (a+b) = 864 cm^2

where h is the height and a and b are the two parallel sides

h = 24 cm

a = 30 cm

b = ?

1/2 × 24 ( 30 + b ) = 864

12 ( 30 + b ) = 864

30 + b = 864/12

30 + b = 72

b = 72 - 30

b = 42

Therefore the lenght of other base = 42 cm

Plz mark it as brainliest !!!!!!!!!!

You might be interested in

Alice studies the relationship between climate and heart disease around the world. H(t)H(t)H, left parenthesis, t, right parenth

ddd [48]

Answer:

The domain of the function H(t), is [-5, 30].

The range of the function H(t), is [(10% + average), (average - 20%)]

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable.

For this question, the function is H(t), with the temperature, t, serving as the independent variables and H(t) the evidently dependent variable.

The domain of a function refers to all the possible independent variable values that will give corresponding real dependent variable values.

For this question, Alice's model has the probability for the occurrence of heart disease (in percents relative to the global average) at an area, H(t) varying with the temperature of that area in degree Celsius.

At a temperature of -5°C (the lowest temperature in the model), the probability is 10% above the average.

Then, the probability decreases with increase in temperature, taking a value 20% lower than the average when the temperature is at its highest of 30°C in the model.

So, temperature ranges from -5°C to 30°C and the probability for the occurrence of heart disease ranges from 10% above the average to 20% below the average.

The domain of the function H(t), from the definition given above would therefore be [-5, 30]

And the range of the function H(t), is [(10% + average), (average - 20%)]

Hope this Helps!!!

7 0

2 years ago

Read 2 more answers

Using the power series methods solve the 1st order Lane-Emden Equation:

nikklg [1K]

Answer:

Step-by-step explanation:

xy = 2y + xy = 0

Hence, 2y + xy = 0 ---------(1)

Differentiating equation (1) n times by Leibnitz theorem, gives:

2y(n) + xy(n) + ny(n - 1) = 0

Let x = 0: 2y(n) + ny(n - 1) = 0

2y(n) = -ny(n - 1)

∴ y(n) = -ny(n - 1)/2 for n ≥ 1

For n = 1: y = 0

For n = 2: y(1) = -y

For n = 3: -3y(2)/2

For n = 4: -2y(3)

5 0

2 years ago

Which statement about proportional relationships is false?

777dan777 [17]

Answer:

Each point (or pair) in a proportional relationship must share the same ratio.

Step-by-step explanation:

a proportional relationship must share the same ratio in order to be proportional it doesn't madder in what way it is proportional.

4 0

2 years ago

Read 2 more answers

Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 da

Irina18 [472]

Answer:all three of them achieve the sales target together in 120 days.

Step-by-step explanation:

Given: Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days.

Then, the number of days taken by all of them to achieve the sales target together = $\dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}$

$=\dfrac{1}{120}$ [LCM(30,40,60)=120]

Thus, all three of them achieve the sales target together in 120 days.

5 0

2 years ago

Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)

nevsk [136]

Answer:

Option 1:(x-4)^2+y^2=100

Step-by-step explanation:

Given center = (h,k) = (4,0)

The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.

So,

The distance formula will be used:

$d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\=\sqrt{(4+2)^{2}+(0-8)^{2}}\\=\sqrt{(6)^{2}+(-8)^{2}}\\=\sqrt{36+64}\\ =\sqrt{100}\\ =10\ units$

Hence radius is 10.

The standard form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values

(x-4)^2+(y-0)^2=10^2

(x-4)^2+y^2=100

Hence option 1 is correct ..

7 0

2 years ago

Read 2 more answers