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3 years ago

Round 5.53 to one decimal place

1 answer:

3 0

5.5, when rounding a number, if the second digit is below 5 you round it down, in this case, 5.53, if its 5.5 or above, for example 5.56, you would round it up to 5.6

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})$

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})$

= $\frac{1}{2}(2\sqrt{3} )$

= $\sqrt{3}$

6 0

3 years ago

A square box has an area of 90,000 square inches. What's the length of each side of the box?

Sever21 [200]

Answer: A 300 inches

Step-by-step explanation:

Area (a) = 90,000

Side = √a

Side = √90000

Side = 300

8 0

3 years ago

Read 2 more answers

Identify the angle or side that is common to triangle NPM and triangle OPM.

jonny [76]

MP is the best choice as both triangles have MP as the same vector

7 0

3 years ago

. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a dis

nalin [4]

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

8 0

3 years ago

Solve for N<br> 2/9n= −6

artcher [175]

Answer:

n=-27

Step-by-step explanation:

Step-By-Step on how to solve it is in the image shown below.

Hope this helps! :)

3 0

3 years ago