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4 years ago

Need help on this one

Mathematics

1 answer:

dsp734 years ago

5 0

The value of x is 21 ft.

Solution:

The given image is a triangle.

In ΔABC, GH is the mid-segment.

Given GB = 21 ft and AG = x ft

To find the value of x:

Since GH is the mid-segment of triangle ABC,

G is the mid point of the line segment AB.

By mid point definition,

AG = GB

AG = 21 ft

x = 21 ft

Option B is the correct answer.

The value of x is 21 ft.

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Find the value of 373 using the identity (x − y)3 = x3 − 3x2y + 3xy2 − y3. Show all work.

Paladinen [302]

Answer:

$37^3 = 50653$

Step-by-step explanation:

Given

$(x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3$

Required

Find $37^3$

Express 37 as 40 - 3

So, we have:

$37^3 = (40 - 3)^3$

Compare to $(x -y)^3$

$x = 40\ and\ y = 3$

Substitute 40 for x and 3 for y in $(x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3$

$(40 - 3)^3 = 40^3 - 3*40^2*3 + 3*40*3^2 - 3^3$

Evaluate all exponents

$(40 - 3)^3 = 64000 - 3*1600*3 + 3*40*9 - 27$

Evaluate all products

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$(40 - 3)^3 = 50653$

Hence:

$37^3 = 50653$

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3 years ago

Solve the formula for the indicated variable (b=rw+r,for w sollution w=____)

trasher [3.6K]

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3 years ago

there are 36 students in Frank's class 27 of them are buying lunch today right and write and simplify the fraction of students t

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4 years ago

Read 2 more answers

37 + 15r > or equal to 127, what is the answer?

Tpy6a [65]

Answer:

r ≥ 6

Step-by-step explanation:

37+15r ≥ 127

-37 -37 37 cancels and you're left with 15r

15r ≥ 90

/ 15 /15 15 cancels and you're left with r

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3 years ago

5/6-1/8 Solve by finding a common denominator A)30/48 B)34/48 C)38/48 D)42/48

GrogVix [38]

Answer:

B) 34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

The difference is ...

$\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}$

Additional comment

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

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Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

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2 years ago