Answer:
You could use the polygon area formula OR here's an easier solution
We draw the lines DC and DE
Angle ADC = 120°
Triangle ADC is a 30 60 90 triangle
In such a triangle Line AE = hypotenuse * sq root (3) /2
Line AE = 3 * 0.8660254038 = 2.5980762114
Line DE = 1.5
Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =
1.9485571586 square meters and entire area of Triangle
ABC = 6 * 1.9485571586
which equals 11.6913429513 square meters
Step-by-step explanation:
Answer:
True Statement are
Step-by-step explanation:
Given:
DF = 11
EF = 8
In Right Angle Triangle DEF, the Sine Identity is
Substituting the values we get
....True
And also,
Substituting the values we get
....True
The surface area of the smaller solid is 112 km².
<h3>What are Similar Solids?</h3>
Similar shapes are enlargements of two shapes using a scale factor.
The ratio of the volume of similar solids is the ratio of the cube of their length.
Formula:
- V/v = L³/l³................... Equation 1
- L/l = ∛(V/v)............... Equation 2
Where:
- V = Volume of the larger solid
- v = volume of the smaller solid
- L = Length of the larger solid
- l = Length of the smaller solid.
From the question,
Given:
Substitute the value into equation 2
To calculate the area of the smaller solid, we use the formula below
Where:
- a = Area of the smaller solid.
- A = Area of the larger solid
make a the subject of the equation
- a = (l²A)/L²................ Equation 2
From the question,
Given:
Substitute these values into equation 2
- a = (4²/9²)567
- a = 112 km²
Hence, the surface area of the smaller solid is 112 km².
Learn more about similar shapes here: brainly.com/question/2644832
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Answer:
Answer: 17892
Solution:
The multiples of 7 between 0 to 500 are:
7x1 = 7
7x2 = 14
7x3 = 21
7x4 = 28
7x5 = 35
………….
7x70 = 490
7x71 = 497
Therefore total number of multiples of 7 between 0 and 500 are 71. If we denote by S71 the sum of all these multiples,
S71 = 7+14+21+28+35+…………+490+497
= 7(1+2+3+4+………………….+70+71)
The series within parentheses is the sum of the first 71 natural numbers and the sum is given by the formula n(n+1)/2, where n=total number of terms=71 . Substituting for n,
S71 = (7x71x72)/2 = 7x71x36 = 17892 (Answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The geometric sequence formula is:
An=a*r^(n-1)
An= nth term of the sequence
a= first term of the sequence. In this case, the amount Monica had in the first month
r= common ratio. In this case, is the interest rate, which is constant in all months.
n= number of periods
Following this equation, option A and B are not correct because "a" the first term of the sequence is $225.
It is not option C because Monica will have her first $225 plus interest not only the interest she gained, then the common ratio should be a number greater than 1.
It is option D and let´s proved it:
A6= 225*(1.04)^(6-1)
A6=225* (1.21665)
A6=$273.746
A6=$273.75