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3 years ago

How do you multiply a mixed fraction by a regular fraction

1 answer:

3 0

Well, you first have to make the mixed fraction into an improper fraction. You then multiply the two fractions and ad the whole number into the total.

That's how i was taught back in the 4th grade... i'm not sure if it's correct but i hope it is-

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Heyyyyyyyyyyy!<br><br> so uhm help please!<br><br> 16500 rounded to the nearest whole numberrrr

natali 33 [55]

? it’s already rounded, is there supposed to be a decimal?

5 0

3 years ago

CD is perpendicular to AB CREATE AC AND BC AND MEASURE THEIR LENGTHS

Valentin [98]

Answer:

The line segments are equal in length

AC = BC = 5

Step-by-step explanation:

7 0

2 years ago

The expression sin 57° is equal to

ValentinkaMS [17]

Answer:

$cos(33^{\circ})$

Step-by-step explanation:

Given

$sin(57^{\circ})$

Required

Determine an equivalent expression

In trigonometry:

$sin(\theta)= cos(90^{\circ} - \theta)$

In $sin(57^{\circ})$

$\theta=57^{\circ}$

Substitute $57^{\circ}$ for $\theta$

in $sin(\theta)= cos(90^{\circ} - \theta)$

$sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})$

$sin(57^{\circ})= cos(33^{\circ})$

Hence, the equivalent expression is: $cos(33^{\circ})$

5 0

3 years ago

Diamonds have a density of 3.5 LaTeX: \frac{g}{cm^3}g c m 3. How big is a diamond that has a mass of 0.10 g?

liubo4ka [24]

For this case we have that by definition, the density is given by:

$d = \frac {M} {V}$

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

$d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g$

So the volume is:

$V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3$

Thus, the volume of the diamond is approximately $0.03 \ cm ^ 3$

Answer:

$0.03 \ cm ^ 3$

3 0

3 years ago

We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood fol

jarptica [38.1K]

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e. Mean + Margin of error = 42.969 (i)

Mean - Margin of error = 36.191 (ii)

Adding (i) and (ii), we get

$2Mean =79.16\\\\\Rightarrow\ Mean= 39.58$

Margin of error = 42.969-39.58 [from (i)]

= 3.389

Margin of error = $t^* \dfrac{\sigma}{\sqrt{n}}$

here n= 25 $, \ \sigma=8.25$

i.e.

$3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \$

Using excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

7 0

3 years ago