A tiny aeroplane accelerates at 35 m/s2 with a force of 20 N. What is the mass of the aeroplane?

What percentage of the shape is pink

iVinArrow [24]

Answer:

60%

Step-by-step explanation:

here 10 blocks total here among which 6 blocks are pink and 4 not coloured.

so to find the percentage of pink = pink blocks / total boxes

= ( 6 / 10 ) * 100

= 60%

6 0

2 years ago

What is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?

s2008m [1.1K]

Answer:

(C)4

Step-by-step explanation:

Given the line: $y=\dfrac43 x+1$

The gradient of the line, $m=\dfrac43$

A line perpendicular to the given line will have a gradient, $m=-\dfrac34$ (by definition of perpendicularity).

Therefore, a perpendicular line that passes through the point (4,1) is:

$y-y_1=m(x-x_1)\\y-1=-\dfrac34(x-4)\\y-1=-\dfrac34x+3\\y=-\dfrac34x+3+1\\y=-\dfrac34x+4$

Comparing with the slope-intercept form y=mx+x, the slope of the perpendicular line, b=4.

4 0

3 years ago

The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

Given:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

Volume of the cylinder:

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

Volume of the cone:

The formula to determine the volume of the cone is

$V=\frac{1}{3} \pi r^2 H$

Substituting $H=2h$ , we get;

$V=\frac{1}{3} \pi r^2 (2h)$

$V=\frac{2}{3} \pi r^2 h$

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0

3 years ago

An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar

S_A_V [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

5 0

4 years ago

) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and the

Fofino [41]

Answer:

a) i) The probability depends on the total number of counters not on the number of colors.

ii) There are 10 number of counters not 4

b) $\dfrac{3}{10}$

Step-by-step explanation:

Given that:

Total number of counters in a bag = 10

Number of red counters = 4

Number of green counters = 3

Number of pink counters = 2

Number of blue counters = 1

a) Ella writes: "There are four colors, so the probability of selecting a green is $\frac{1}4 + \frac{1}4 = \frac{2}4$ , so the probability is $\frac{1}2$ "

Ella has considered the total type of counters here, which is 4.

But Ella must have considered total number of counters which is 10.

i) The probability depends on the total number of counters not on the number of colors.

ii) There are 10 number of counters not 4

b) There are 4 colors in the bag.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

To select 2 counters of the same color:

$P(2\ red) = \dfrac{4}{10}\times \dfrac{4}{10} = \dfrac{16}{100}$

$P(2\ green) = \dfrac{3}{10}\times \dfrac{3}{10} = \dfrac{9}{100}$

$P(2\ pink) = \dfrac{2}{10}\times \dfrac{2}{10} = \dfrac{4}{100}$

$P(2\ blue) = \dfrac{1}{10}\times \dfrac{1}{10} = \dfrac{1}{100}$

The required probability will be the sum of all 4 above probabilities:

$P(2\ of\ same\ color) = \dfrac{30}{100} = \bold{\dfrac{3}{10} }$

6 0

3 years ago