Help me out plz and let you guys know
1 answer:
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The number is 4
Step-by-step explanation:
First of all we have to convert the given statement in mathematical form.
Let c be the number then according to given statement
We have to isolate the variable in the equation
Dividing both sides by 2
Adding 3 on both sides
Hence,
The number is 4
Keywords: Linear equation, variables
Learn more about linear equation at:
#LearnwithBrainly
Answer:
The distance between Damarian and his friend is approximately 127 feet
Step-by-step explanation:
- The four sides of the rhombus are equal
- The diagonals of the rhombus bisects each other and perpendicular to each other
<em>Look to the attached figure</em>
∵ ADCF is a rhombus
∵ The distance of each side of the field is 90 feet
- The four sides of the rhombus are equal
∴ AD = DC = CF = FA = 90
∵ AC and DF are its diagonals
∴ AC ⊥ DF and bisects each other
∵ D is the position of Damarian
∵ F is the position of his friend
∵ The distance between the other two corners of the field is
approximately 128 feet
∴ AC = 128 feet
∵ AC and DF bisects each other at point I
∴ AI = CI
- That means each part is one-half AC
∴ AI = CI = 128 ÷ 2 = 64 feet
<em>Now let us use any right triangle of the four right triangles in the figure to find the length of one-half the other diagonal</em>
In Δ FIC
∵ ∠FIC is a right angle
∵ FC = 90 ⇒ The hypotenuse of the Δ
∵ CI = 64 ⇒ one leg of the Δ
- By using Pythagoras Theorem
∴ (FC²) = (IF)² + (CI)²
- Substitute the values if CI and FC in the formula of Pythagoras
∵ (90)² = (IF)² + (64)²
∴ 8100 = (IF)² + 4096
- Subtract 4096 from both sides
∴ 4004 = (IF)²
- Take √ for both sides
∴ 63.277 = IF
∵ DI = IF = DF
- Multiply DI by 2 to find DF
∴ DF = 126.554
- Round it the the nearest whole number
∴ DF = 127 feet
DF represents the distance between Damarian and his friend
The distance between Damarian and his friend is approximately 127 feet
Hello,
Please, see the attached file.
Thanks.
Please, see the attached file.
Thanks.