We are given dimensions of rectangular bedroom = length of 5m and width 3 m.
Also scale drawing of factor 1/50 of the original dimension.
In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.
Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and
Let us convert it in centimeter now.
1 m = 100 cm
1/10 m = 100 * 1/10 = 10cm.
Width of the scale drawing = 3 * 1/50 = 3/50 m.
100*3/50 = 6 cm.
Therefore, the dimensions of a scale drawing of Elenas bedroom is length 10cm and width 6cm.
<span>triangle CDN ≅ triangle CBM
</span><span>
Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM |
by
</span><span>SAS</span>
Answer:
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Step-by-step explanation:
The average blood alcohol concentration (bac) is modeled by the following function.

In which t is measured in minuted.
How rapidly was the BAC increasing after 5 minutes?
This is c'(t) when t = 5.
Using the derivative of the product.
Derivative of the product:


In which problem:


So


After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Answer:
Option A.
Step-by-step explanation:
Clarissa needs a $2,500 loan in order to buy a car.
There are 4 options of loan we will calculate all the options that pay the least amount of interest.
To calculate the interest we will use this formula :

Where P = Principal amount
R = rate of interest
T = time in years
A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

= $178.125
B) Principal 2,500 interest 4% and time 30 months (2.5 years)

= $250
C) Principal 2,500 interest 4.25% and time 24 months (2 years)

= $212.50
D) Principal 2,500 interest 4.50% and time 36 months (3 years)

= $337.50
The least amount of interest would be in option A.
Answer:
The ration of the volume of cone to that of cylinder is
Step-by-step explanation:
From the question we are told that
The volume of a cone is mathematically represented as

The volume of a cylinder is mathematically represented as

Now the ratio we are to obtain is
Note: this is possible because the height and base
radius are the same