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3 years ago

Is the value of 4 in 46,395 36 times the value of 4 in 14,906

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Yesthe value of 4 in 46,395 36 times the value of 4 in 14,906

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Using the diagram on the right, find the length of GT and TA.

Art [367]

Answer:

$GT=10\ units$ and $TA=6\ units$

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{GR}{GE}=\frac{GT}{GA}$

we have

$GR=5\ units$

$GE=5+3=8\ units$

$GT=16-x\ units$

$GA=16\ units$

substitute

$\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units$

therefore

$GT=16-x=16-6=10\ units$

$TA=x=6\ units$

5 0

3 years ago

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter

il63 [147K]

<span>Choices: 30 units ; 20 units ; 15 units ; 7.5 units

Given:
perimeter = 30 units
scale factor = 0.5

30 units * 0.50 = 15 units

The perimeter of the resulting triangle is 15 units.</span>

6 0

3 years ago

See attached picture, is there a way to enter equations or algebraic symbols?

coldgirl [10]

SOLUTIONS

Solve a given equations or algebraic symbols?

$\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}$

(A)

$\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}$

(B)

$\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}$

(C)

$\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}$

(D)

$\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}$

5 0

1 year ago

Solve for xx. Write the smaller solution first, and the larger solution second. X^2 + 12x + 27 = 0x 2 +12x+27=0

sineoko [7]

Answer:

x = -9, -3

Step-by-step explanation:

x^2 + 12x + 27 = 0

We need 2 numbers whose product is + 27 and whose sum is + 12. These are 3 and 9. So the factors are:-

(x + 3)(x + 9) and this = 0

So (x + 3) = 0 or x + 9 = 0

x = -3 , -9

7 0

3 years ago

Read 2 more answers

Yolanda buys

Stells [14]

Answer:

The unit price is 4.15 dollars per gallon

Step-by-step explanation:

- Yolanda buys 5.8 gallons of gas for $24.07

- We need to find the unit price in dollars per gallon

- Unit price means the price of each gallon

∵ The number of gallons = 5.8 gallons

∵ The price of the gallons = $24.07

∵ The unit price = the amount of money ÷ number of gallons

∴ The unit price = 24.07 ÷ 5.8

∴ The unit price = 4.15 dollars per gallon

* <em>The unit price is 4.15 dollars per gallon</em>

3 0

2 years ago