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Andre45 [30]
3 years ago
7

What are the lengths of sides t and k?

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

30

Step-by-step explanation:

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Which number is less than 22,874?
Ronch [10]
I have attached the steps so good luck

4 0
3 years ago
Assume y≠60 which expression is equivalent to (7sqrtx2)/(5sqrty3)
Drupady [299]

Answer:

The equivalent will be:

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)

Therefore, option 'a' is true.

Step-by-step explanation:

Given the expression

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}

Let us solve the expression step by step to get the equivalent

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}

as

\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}      ∵ \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}

\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0

=x^{2\cdot \frac{1}{7}}

=x^{\frac{2}{7}}

also

\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}         ∵  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}

\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0

=y^{3\cdot \frac{1}{5}}

=y^{\frac{3}{5}}

so the expression becomes

\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)            ∵ \:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}

Thus, the equivalent will be:

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)

Therefore, option 'a' is true.

5 0
3 years ago
A function has y-intercept of -2 and a slope of -1. which equation below describes the function?
ozzi
The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

Hope this helps!
8 0
3 years ago
02:42:33
jeyben [28]

Answer:    -10

Step-by-step explanation:

It is -10 because you have to switch the order of operations to get negative.

Hope it helps!

6 0
4 years ago
Kofi is 9 years old. Kwaku's age is two-thirds Kofi's age
Keith_Richards [23]

Answer:

<h3>3 : 2 : 4</h3>

<h2>CALCULATIONS</h2>

<h3>Let;</h3>

<h3>Kofi's age = 9</h3>

<h3>kwaku's age = 2/3 *9 = 6 </h3>

<h3>Yaw's age = 2(6) = 12</h3>

<h3>ratio of ages = 9 : 6 : 12</h3>

<h3>Simplest form = 3 : 2 : 4</h3>

4 0
3 years ago
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