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3 years ago

8

The crose harbor tunnel is about 1900m long . it is a little less than --------- km.

1 answer:

Volgvan3 years ago

4 0

If you would like to convert meters to kilometers, you can calculate this using the following step:
1 meter = 0.001 kilometers
1900 m = 1900 * 0.001 km = 1.9 km

If the tunnel is about 1900 m = 1.9 km long, then this is a little less than 2 km, because 1.9 km < 2 km.

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. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS

trapecia [35]

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = $\frac{1}{2}$ (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

$\sqrt{17^{2}-15^{2}} = RP$

$RP=\sqrt{289-225}$

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = $\frac{1}{2}$ (30) (33) = 495 meter²

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3 years ago

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cestrela7 [59]

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7 0

2 years ago

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A The length of a rectangle is 4 m more

Lady bird [3.3K]

Given :

The length of a rectangle is 4m more than the width.
The area of the rectangle is 45m²

⠀

To Find :

The length and width of the rectangle.

⠀

Solution :

We know that,

$\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:$

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

$\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }$

$\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }$

$\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}$

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

$\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:$

$\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:$

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2 years ago

13. A warehouse is distributing 1,080 blocks into 24 different packages for shipment. If each of the packages will hold the same

alina1380 [7]

Answer:

45

Step-by-step explanation:

All you have to do is 1080/24 that gives you 45.

8 0

2 years ago

Jack spends 1 1/2 times as long on his homework as Jill.

Minchanka [31]

Answer:

12 3/4 hours

Step-by-step explanation:

Jack spends 1 1/2 times as long on his homework as Jill .

Jill spends 8 1/2 in doing his home work .

Time spent by jack in doing his homework is jacks time multiplied by Jill’s

That’s

1 1/2 x 8 1/2

Change to improper fractions.

We have,

3/2 x 17/2

Multiply through

51/4 = 12 3/4

Jack spends 12 3/4 hours in doing his homework

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2 years ago

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