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Ksju [112]
3 years ago
11

triangle MNO is an equilateral triangle with sides measuring 16 units What is the height of the triangle?

Mathematics
2 answers:
fiasKO [112]3 years ago
7 0

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

so

in the equilateral triangle ABC

AB=BC=AC=16 units

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

solve for BD

BD^{2}=BC^{2}-DC^{2}

substitute the values

BD^{2}=16^{2}-8^{2}

BD^{2}=192

BD=\sqrt{192}\ units

therefore

<u>the answer is</u>

the height of the triangle is \sqrt{192}\ units


adoni [48]3 years ago
6 0

Answer:

The height of an equilateral triangle will be =\sqrt{192}units

Step-by-step explanation:

It is given that triangle MNO is an equilateral triangle with sides measuring 16 units that is MN=NO=OM=16.

Now, Let MD be the height of an equilateral triangle, then applying the Pythagoras theorem in triangle MDO, we get

(MO)^{2}=(OD)^{2}+(MD)^{2}

(16)^{2}=(8)^{2}+(MD)^{2}

256=64+MD^{2}

256-64=(MD)^{2}

MD=\sqrt{192}

Therefore, the height of an equilateral triangle will be =\sqrt{192}units.

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IceJOKER [234]

Answer:

Step-by-step explanation:

So first we notice that the traingles are similar which makes my work much easier.

27:42 can be simplified to 9:14.

That means x is 28

And sharks to dolphins is 12.

That means the smaller triangle is 27 18 12 and the bigger triangle is 42 28 and x. Try and do it yourself if you can't just comment and I'll help you :)

5 0
2 years ago
A British company is sending you measurements for a table to build in your factory. The table top must be 50 cm × 75 cm. Your ma
IRINA_888 [86]

<u>Answer:</u>

19.5 x 29.25 inches

<u>Step-by-step explanation:</u>

We are given that the top of the table, which we are to build in our factory must of the the dimension 50 cm x 75 cm.

Also, out machine is calibrated in inches. So to find the size of the table in the inches, we need to multiply the given dimensions of the table top with the scale (1 cm = 0.39 inches)

50 cm ---> 50 x 0.39 = 19.5 inches

75 cm ---> 78 x 0.39 = 29.25 inches

Therefore, the dimensions of the table in inches are 19.5 x 29.25 inches.

3 0
2 years ago
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
faust18 [17]

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

6 0
3 years ago
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in p
yuradex [85]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18

a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

8 0
3 years ago
Can anyone help me with #3 on this please
spayn [35]

Answer:

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first find the area of the rectangle (12x16)

then, the confusing part, pretend the semicircle is a full circle and find the area and divide by 2

add the two up and put cm^{2} and that should be it

7 0
3 years ago
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