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3 years ago

What is the surface area of the square pyramid? 6 square meters 16 square meters 28 square meters 49 square meters

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

16 square meters xd :0

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

3 years ago

How do I solve 34-5x+2(x-2)=15

LenKa [72]

34-5x+2(x-2)=15 1st get rid of () by distributing the 2.
34-5x+2x-4=15 Now collect like terms.
30-3x=15 Get -3x by itself by subtracting 30 in both sides.
-3x=-15 You want X by itself so divide by -3 on both sides.
x=5

8 0

3 years ago

Cognitive maps allow organisms to

Bess [88]

Answer:

Step-by-step explanation:

3 0

3 years ago

Niccola travels at an average speed of 40 mph for 50 miles.

sweet [91]

Answer:

36.67 [mile/hour].

Step-by-step explanation:

1) use the formula: V=S/t, where S - entire jorney, v - average speed (required to calculate), t - elapsed entire time.

2) according to the formula above S=50+60=110 miles; t= 50/40 + 1.75=1.25+1.75=3 hours.

3) after the substitutuion 110 and 3 into the formula above:

v=110/3≈36.67 miles/h.

7 0

2 years ago

The new total is 60%, but the sales tax is 5% of the bill. how much is the salestax?

Nataly_w [17]

Answer:

Sales tax is 8.33 % of new total

Step-by-step explanation:

Let

Your bill =1000

New total 60%=1000*60/100=600

5% sale tax on whole bill price =1000*5/100=50

To deduct 5% sale tax in 60% of new total the % are=50/600=0.0833*100=8.33%

So,

Sale tax is 8.33% of new total 60%.

6 0

4 years ago