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2 years ago

4. Write 0.5% as a fraction.

Mathematics

2 answers:

11111nata11111 [884]2 years ago

7 0

Answers
4. A
5. D
6. D

Dvinal [7]2 years ago

7 0

Answer: a a c

Step-by-step explanation:

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

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2 years ago

How long should the wooden frame be (use 3.14 for pi)

scoundrel [369]

C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)

Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.

Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.

For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)

C=9.42 < this is the circumference of the circle.

Then you add the sides of the table which are 20 feet.

So the final answer is 29.42 feet.

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3 years ago

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serious [3.7K]

Answer:

i think its B

Step-by-step explanation:

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A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters. 21 m 30 m What is the approxim

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Answer: 6,300 m^3

Step-by-step explanation:

Put numbers into calculator

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Prime numbers between 50 and 100 in descending order

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The numbers 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97 are prime.

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3 years ago

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