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Mandarinka [93]
3 years ago
15

Fill in the missing number: 497 + = 1,404

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

907

Step-by-step explanation:

let x be the missing number

if 497 + x = 1404

you isolate the x

x=1404-497

x=907

you can check the work on a calc to see if 497 +907 = 1404 :)

posledela3 years ago
4 0

Answer:

907

Step-by-step explanation:

1,404 - 497=907

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the earth rotates about its axis once every 23 hours, 56 minutes and 4 seconds. Approximate the number of radians the earth rota
marishachu [46]

Answer:

\frac{\pi}{43082}\text{ radians per second}

Step-by-step explanation:

Given,

Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.

Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,

⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds

= 86164  seconds,

Now,  the number of radians in one rotation = 2π,

That is, 86164 seconds = 2π radians

\implies 1\text{ second }=\frac{2\pi}{86164}=\frac{\pi}{43082}\text{ radians}

Hence, the number of radians in one second is \frac{\pi}{43082}

4 0
3 years ago
9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
2 years ago
√−100 = ___ +_____i<br> ...
Natalija [7]

Answer:

Step-by-step explanation:

Rewrite this as

\sqrt{(-1)(100)}

Knowing that i-squared = -1:

\sqrt{(i^2)(100)}

Both i-squared and 100 are perfect squares, so this simplifies to

±10i

7 0
3 years ago
A ball is rolling in a circular path that has a radius of 10 inches as shown in
elena55 [62]
The complete question in the attached figure

we know that
[circumference]=2*pi*r
for r=10 in
[circumference]=2*pi*10-----> 62.8 in

if 360° (full circle) has a length of --------> 62.8 in

 54°------------------------------> X
x=54*62.8/360-----> x=9.42 in

the answer is 9.42 in

5 0
3 years ago
William has a lemonade stand today he made $17.55 and lemonade sales and one-third that amount in cookie sales how much money di
IgorC [24]

Answer:

Well to find 1/3 of something you have to multiply it by 1/3.

1/3 in decimal form is .33 repeating.

17.55 * .33 = 5.79

17.55 + 5.79 = $23.34

$23.34 is the total profit.


7 0
3 years ago
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