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3 years ago

Model factors: use tiles to find all the factors of the product, record the arrays on grid paper and write the factors shown.

1 answer:

7 0

The factors is just 1 and 23. The array should be 23 rows/columns of just 1 dot only. Here's an example:

Factors of 5: 1 and 5

Array: •••••

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Use the formula to determine the area of squares with side lengths of 3 cm, 10.5 cm, and π cm.

Nataliya [291]

Answer:

For length of side = 3 cm

Area of the square = 9 cm²

For length of side = 10.5 cm

Area of the square = 110.25 cm²

For length of side = π cm

Area of the square = 9.869 cm²

Step-by-step explanation:

The area of a square is given as :

Area = Side²

therefore,

For length of side = 3 cm

Area of the square = ( 3 cm )² = ( 3 × 3 ) cm² = 9 cm²

For length of side = 10.5 cm

Area of the square = ( 10.5 cm )² = ( 10.5 × 10.5 ) cm² = 110.25 cm²

For length of side = π cm

Area of the square = ( π cm )²

= ( π × π ) cm²

= 3.14² cm² [π = 3.14]

= 9.869 cm²

8 0

3 years ago

Express cos^2 x in terms of cos2x. Hence, express f(x) = 6cos^2 x - 4sin 2x in the form R cos (2x + Y degrees) + p where R, y an

Lady bird [3.3K]

2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x

8 0

2 years ago

The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

Roman55 [17]

Answer:

$\frac{16}{9}$ hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

$a=\frac{k}{b}$

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

$t=\frac{k}{r}$

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

$t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80$

Now, secondly, we have r = 45 and k = 80, we need to find t:

$t=\frac{80}{45}\\t=\frac{16}{9}$

So, it would take $\frac{16}{9}$ hours

4 0

3 years ago

PLEASE HELPPP i would really appreciate it :)

qaws [65]

Answer:

Y = - 12.55X1 + 276.52

Step-by-step explanation:

Given the data:

Age of child :(X) : 4, 6, 10, 13, 14, 17

Time (seconds) (Y) : 230, 205, 132, 119, 108, 62

Using technology, the linear regression equation obtained using the data Given is :

Y = - 12.55X1 + 276.52

Where :

Slope = - 12.55

Intercept = 276.52

This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.

3 0

2 years ago

The Lacrosse booster club is holding a raffle for a fundraiser. They will sell 100 tickets for $5 each and select 4 winners. All

Nadusha1986 [10]

Answer:

<h2>There are 3,921,225 ways to select the winners.</h2>

Step-by-step explanation:

This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.

Combinations without repetitions are defined as

$C_{n}^{r} =\frac{n!}{r!(n-r)!}$

Where $n=100$ and $r=4$ .

Replacing values, we have

$C_{100}^{4} =\frac{100!}{4!(100-4)!}=\frac{100!}{4! 96!}=\frac{100 \times 99 \times 98 \times 97 \times 96!}{4! \times 96!}= \frac{94,109,400}{24}= 3,921,225$

Therefore, there are 3,921,225 ways to select the winners.

Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.

3 0

3 years ago