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4 years ago

Use the properties of exponents to determine the value of aa for the equation: Screenshot is below

Mathematics

1 answer:

scoray [572]4 years ago

6 0

Answer:

a = -9/20

Step-by-step explanation:

We can evaluate what’s on the left hand side of the equation to get what a is.

The numerator can be expressed as x^(4/5)

The denominator is x^5/4

we use the law of indices to finish this off

That would be;

x^(4/5) ÷ x^(5/4)

Using the second law of indices;

x^(4/5-5/4) = x^-9/20

Since the bases are now equal, then we equate the powers

Thus a = -9/20

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3 years ago

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3 years ago

Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, a

Bogdan [553]

Answer:

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 $feet^2$

Step-by-step explanation:

Given: Lawn is rectangular in shape

Length of lawn is 5 feet more than twice its breath/width

Perimeter of Lawn = 250 feet

To find: (a) Length and width of lawn

(b) Area of Lawn

First let the a variable for width/breadth. Say, Width = b.

So, the length of lawn = 2b + 5

Perimeter of Rectangle = 2 × ( length + width )

Now, substitue given values in this formula

∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )

$250 = 2\times{(2b+b+5)}\\250= 2\times{(3b+5)}\\3b+5 = \frac{250}{2}\\3b = 125 -5\\3b = 120\\b=\frac{120}{3}\\b=40$

∴width = 40 feet

⇒ length = 85 feet

Now we find are of lawn using formula of area of rectangle

Area of lawn = length × width

= 85 × 40

= 3400 $feet^2$

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 $feet^2$

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4 years ago

Can someone Please help me ??? If you can help me ill give you 20 points and brainliest :)

Phoenix [80]

First, classify each line segments of triangle that are the same in both triangles.

RS = XU

RT = XW

ST = WU

Second, divide to find the scale ratio.

7.5/3 = 2.5

16/6.4 = 2.5

15/6 = 2.5

Since the scale ratios are identical, the triangles are similar.

Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]

Best of Luck!

4 0

3 years ago