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4 years ago

One six times one and four six

Mathematics

1 answer:

Allushta [10]4 years ago

4 0

Answer: 1/6 x 1 4/6 = 1 5/6. (One and five sixths.)

Step-by-step explanation: Separate the fraction into parts, solve those parts, then combine the whole and the fraction of those parts.

Hope this helps!

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

3 0

3 years ago

How can you know if this equation is true?<br> 1/3+1/5=2/8=1/4

m_a_m_a [10]

Answer: This statement isn't true.

Step-by-step explanation: By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

5 0

4 years ago

Find the value of 4(5)+12÷3 (8)+2 (-4)

Firlakuza [10]

The answer is 44 because all you have to do is use PEMDAS to solve the equation

6 0

3 years ago

Read 2 more answers

For the following data at the near-ground level, which location will residents likely see dew on their lawns in the morning? Gro

Zarrin [17]

Answer: CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

Step-by-step explanation:

CITY C: Dew Point Temperature = 25°F, expected low Temperature = 20°F

CITY A: Dew Point Temperature = 65°F, expected low Temperature = 60°F

CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

city B is going to have dew on their lawn in the morning as the dew point temperature is less than the lowest temperature.

When surface temperature drops, eventually reaching the dew point, atmospheric water vapor condenses to form small droplets on the surface. Thus dew will be formed as the conditions are suitable only for city B.

8 0

4 years ago

Evaluate the following expression. <br><br> (2+6×2+2−4)×2

denis-greek [22]

Answer:

Step-by-step explanation:

PEMDAS.

4 0

2 years ago