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3 years ago

I need help immediately

Mathematics

1 answer:

melamori03 [73]3 years ago

7 0

Answer:

Ima say A

Step-by-step explanation:

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1. The sum of 2 integers is -1. Their product is -12. What are the integers?

trapecia [35]

Answer:

1. -4, 3 2. 6, -4

7 0

2 years ago

Find the volume of each figure. Round to the nearest hundredth if necessary.

Pavel [41]

Answer:

316.41 m³

Step-by-step explanation:

7.5x7.5x3.75=210.9375

3.75x3.75x7.5=105.46875

210.9375+105.4675=316.405

6 0

3 years ago

Does anyone know this?

Stels [109]

Every hexagon clearly has 6 sides. Nevertheless, every time you "glue" two hexagons together, you "lose" 2 sides to your count, because the sides where the two hexagons meet are not exterior sides anymore, and so they are not taken into account in our counting.

Also observe that with n hexagons you have n-1 points of contact between hexagons.

Since every hexagon has 6 sides and every gluing point takes away 2 sides, the number of exterior sides with n hexagons is

$s(n)=6n - 2(n-1) = 6n-2n+2=4n+2$

Let's plug some values for n:

$s(1) = 4\cdot 1 + 2 = 4+2 = 6$
$s(2) = 4\cdot 2 + 2 = 8+2 = 10$
$s(3) = 4\cdot 3 + 2 = 12+2 = 14$
$s(4) = 4\cdot 4 + 2 = 16+2 = 18$

You can check that these values are correct by counting the sides on the figure you have.

Finally, we can count the sides of a train with 10 hexagons by plugging n=10 in our formula:

$s(10) = 4\cdot 10 + 2 = 40 + 2 = 42$

Note: the numbers we've given are the number of sides that form the perimeter. So, the actual perimeters are the number of sides multiplied by the length of the side itself: if we let $s$ be the length of the side, the perimeters will be $6s,\ 10s,\ 14s,\ 18s$ for the first 4 trains, and $42s$ for the 10-hexagon train.

6 0

3 years ago

As an estimation we are told 5 miles is 8 km covert 12 km to miles

eduard

Step-by-step explanation:

5miles=8km

? =12

5miles×12km=?×8km

60km miles=?×8km

?=60miles÷8

?=7.8miles

4 0

2 years ago

Cos(x+y)cos(x-y)=cos^2(x)-sin^2(y)<br> Verify the identity

GenaCL600 [577]

Answer: Verified.

Step-by-step explanation: The given identity involving trigonometric ratios is

$\cos(x+y)\cos(x-y)=\cos^2x-\sin^2y.$

We have

$L.H.S.\\\\=\cos(x+y)\cos(x-y)\\\\=\left(\cos x\cos y-\sin x\sin y\right)\left(\cos x\cos y+\sin x\sin y\right)\\\\=\left(\cos x\cos y\right)^2-\left(\sin x\sin y\right)^2\\\\=\cos^2x\cos^2y-\sin^2x\sin^2y\\\\=\cos^2x(1-\sin^2y)-(1-\cos^2x)\sin^2y\\\\=\cos^2x-\cos^2x\sin^2y-\sin^2y+\cos^2x\sin^2y\\\\=\cos^2x-\sin^2y\\\\=R.H.S.$

Therefore, L.H.S. = R.H.S.

Thus, the given identity is verified.

5 0

3 years ago

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