All categories

3 years ago

Please can someone help my assignment in math.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

B1. MC=21

This is because midline theorem tells us that similar triangles inside of a triangle had a side parallel to it that is half of its length.

So, we multiply 10.5 by 2 to get the longer side!

B2. AI=16

Same deal as the last one; however, this time were just dividing by 2 since it’s the smaller length :))

You might be interested in

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

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

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

Ultiple Choice

gulaghasi [49]

Answer:

4 12

3 18

5 20

7 42

5 15

Step-by-step explanation:

all of the above form a proportion

8 0

3 years ago

For what values of x is x2 + 2x = 24 true?

Sophie [7]

$x^2 + 2x = 24\\x^2+2x+1=25\\(x+1)^2=25\\x+1=5 \vee x+1=-5\\\x=4 \vee x=-6$

8 0

3 years ago

Read 2 more answers

Jamal pays an initial fee of $50 and $4.00 for each audio book he downloads?

olganol [36]

Answer:

4x + 50 = y

Step-by-step explanation:

Since it is $4 for each audiobook, this means that it is the slope.

Since Jamal started with an initial fee, this makes it the y-intercept.

So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y

<u>Y-intercept</u> is the starting number, in this case, the initial fee.

<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent

6 0

2 years ago

Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e.g. 8 x 10 =

Ludmilka [50]

Answer:

Step-by-step explanation:

let the consecutive even numbers be 2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.

2n(2n+2)-(2n-2)(2n+4)

=4n²+4n-(4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

6 0

3 years ago

Please can someone help my assignment in math.​

Please can someone help my assignment in math.