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2 years ago

What is equivalent to 1 1/2

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Answer:

1 1/2 is equal to 1.5.

Step-by-step explanation:

1/2 converted is .5.

A half of 1 is .5 or 1/2.

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Albert wants to show that tan(theta)sin(theta)+cos(theta)=sec(theta). He writes the following proof:

Nataly_w [17]

We have that
tan(theta)sin(theta)+cos(theta)=sec(theta)
[sin(theta)/cos(theta)] sin(theta)+cos(theta)=sec(theta)
[sin²(theta)/cos(theta)]+cos(theta)=sec(theta)

the next step in this proof
is write cos(theta)=cos²(theta)/cos(theta) to find a common denominator
so

[sin²(theta)/cos(theta)]+[cos²(theta)/cos(theta)]=sec(theta)

{[sin²(theta)+cos²(theta)]/cos(theta)}=sec(theta)

remember that
sin²(theta)+cos²(theta)=1
{[sin²(theta)+cos²(theta)]/cos(theta)}------------> 1/cos(theta)
and
1/cos(theta)=sec(theta)-------------> is ok

the answer is the option B.)
He should write cos(theta)=cos^2(theta)/cos(theta) to find a common denominator.

6 0

3 years ago

Read 2 more answers

a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made

Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0

2 years ago

Round your answer to the nearest hundredth BC=?

miskamm [114]

Answer:

BC = 1.71

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle

α = 70°

a: adjacent = BC

h: hypotenuse = 5

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

we look at which meets those data between the sine, cosine and tangent

is the cosine

cos α = a/h

Now we replace the values and solve

cos 70 = a/5

0.34202 = a/5

0.34202 * 5 = a

1.7101 = a

round to the neares hundredth

a = 1.7101 = 1.71

BC = 1.71

7 0

2 years ago

Write in simplest form.

Jobisdone [24]

The answer will be y^2/4 (I’ve written up properly on the photo as I can’t type it)

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2 years ago

Does (lnk)/(k^3), where as k starts at one and continues on to infinity, converge? ...?

max2010maxim [7]

Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.

7 0

2 years ago