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mart [117]
3 years ago
7

How many hours are in 170 minutes

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

There are a total of 2 hours and 50 min.

Step-by-step explanation:

1 hour = 60 min

60 x 2 = 120 min

60 x 3 = 180 min - too much

so take away 10 from 180 min to get 170

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The number 320 million written in scientific notation would be _____.
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The scientific notation: a\cdot10^n\ where\ 1\leq a < 10\ and\ n\in\mathbb{Z}

320\ milion=320\cdot1,000,000=320\cdot10^6=3.2\cdot10^8

Answer: B. 3.2 × 10^8
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The function f(x)=3x+12x+11 can be written in vertex form as?
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Review the graph of complex number z.<br> What is the modulus of<br> Z.
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Step-by-step explanation:

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Find the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5E%7B3%7D" id="TexFormula1" title="\frac{2}{3} ^{3}
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2 years ago
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
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