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adell [148]
3 years ago
8

In the given figure, ABCD is a parallelogram. E is any point on AB. CB and DE are produced to meet at F. Prove that area of tria

ngle CEF = area of triangle BDF. if AB=EB, then area triangle BCE = area of triangle BDE = 1/4 area of parallelogram ABCD.
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0
Download Photomath they’ll help
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Factor 2a^5b + 2a^4b^2 + 2a^3b^3.
geniusboy [140]
2a^5b + 2a^4b^2 + 2a^3b^3=2a^3b\cdot a^2+2a^3b\cdot ab+2a^3b\cdot b^2\\\\=\boxed{2a^3b(a^2+ab+b^2)}
7 0
3 years ago
The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. Find the measure of the angle.
Liula [17]

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

4 0
3 years ago
10. A road roller takes 750 revolutions to move once to
GarryVolchara [31]

Answer:

Step-by-step explanation:

Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m

Circumference of roller = 1.68π m

Contact area of roller = 1.68π × 2.8 = 4.704π m²

Each rotation levels 4.704π m² of the playground.

Area of playground = 750 rotations × (4.704π m²)/rotation

= 3528π m²

≈ 11,084 m²

7 0
3 years ago
A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statemen
ICE Princess25 [194]

A function assigns the values. The statement "The rate of population growth each year is 166%" is true.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function of the population for the town is P (t) = 45,000(2.66)^t, where t is the time in years. Comparing the given function to the general function of the population,

P(x) = a(1+b)ˣ

Then, the value of b will be 166%.

Hence, the statement "The rate of population growth each year is 166%" is true.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
During strenuous work a human body generates about 2,400 BTUs of body heat per hour. If 7 bodybuilders are in a gym that is 20 f
Ede4ka [16]
By doing dimensional analysis, we can easily calculate for what is being asked here. We do as follows:

Given:
Energy per time = 2400 BTU/hr
time period = 3 hrs
number of subjects = 7
Measurement of the weights = <span>20 ft × 25 ft × 12 ft

The energy produced for 3 hours would be:

2400 BTU/hr ( 3hr) = 7200 BTU
Volume of each weight = </span><span>20 ft × 25 ft × 12 ft = 6000 ft^3

Energy per volume = 7200 / 6000 = 1.2 BTU/ft^3

However, we have 7 bodybuilders producing this amount therefore,

Total energy produced = 7 (1.2 BTU/ft^3) = 8.4 BTU/ft^3</span>
4 0
3 years ago
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