In ATUV, the measure of V=90°, TU = 24 feet, and VT = 15 feet. Find the measure

Laws Of Indicies<br>Can someone please help me with this?

nasty-shy [4]

Answer:

See below

Step-by-step explanation:

$1) : {a}^{5} {b}^{4} {c}^{3} \div {a}^{2} {b}^{3} c \\ \\ = {a}^{5 - 2} {b}^{4 - 3} {c}^{3 - 1} \\ \\ = {a}^{3} {b}^{1} {c}^{2} \\ \\ = {a}^{3} {b} {c}^{2} \\ \\ \\2)\: (x^2 y^3)^3\\\\= x^{2\times 3}y^{3\times 3}\\\|= x^{6}y^{9}\\\\\\3)\:5 {a}^{4} \div ( {a}^{2} \times 3a) \\ \\ = 5 {a}^{4} \div (3 {a}^{2 + 1} ) \\ \\ = 5 {a}^{4} \div (3 {a}^{3} ) \\ \\ = \frac{5}{3} {a}^{4 - 3} \\ \\ = \frac{5}{3} {a} \\ \\ \\ 4)\: \frac{14 {a}^{5} }{2 {a}^{3} \times 7 {a}^{4} } \\ \\ = \frac{14 {a}^{5} }{2 \times 7 {a}^{3 + 4} } \\ \\ = \frac{ \cancel{14} {a}^{5} }{ \cancel{14}{a}^{3 + 4} } \\ \\ = \frac{ {a}^{5} }{ {a}^{7} } \\ \\ = {a}^{5 - 7} \\ \\ = {a}^{ - 2} \\ \\ = \frac{1}{{a}^{2} } \\ \\$

8 0

3 years ago

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Round the following percentages to one decimal place.0.698%53.123%0.075%34.337%3.876%

balandron [24]

To round off a given number in decimals to one decimal place (1 dp), we simply take the figure right after the decimal and approximate the remaining after it. If the second number after the decimal is a significant number (5 and above) we make it 1 and add to the number right after the decimal. If its NOT a significant number, we simply disregard it. The solutions therefore are;

ANSWER:

$\begin{gathered} \text{Rounded to one decimal place;} \\ (1)0.698\%\approx0.7 \\ (2)53.123\%\approx53.1 \\ (3)0.075\%\approx0.1 \end{gathered}$

Notice how the number in (1) becomes 0.7, after taking the next number (which is 9) and adding it as 1 to the number after the decimal (which is 6). The same applies to the number in (3).

$\begin{gathered} (4)34.337\%\approx34.3 \\ (5)3.876\%\approx3.9 \end{gathered}$

4 0

1 year ago

A line contains the point (4, 2) and has a slope of −3.

Naya [18.7K]

Answer: the equation is y = - 3x + 14

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the straight line.

The slope of the given line is - 3 and it contains the point (4, 2)

To determine the y intercept, we would substitute m = - 3, x = 4 and

y = 2 into y = mx + c. It becomes

2 = - 3 × 4 + c

2 = - 12 + c

c = 12 + 2

c = 14

The equation becomes

y = - 3x + 14

8 0

3 years ago

How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest

Liula [17]

Answer:

1) Divide the numerator by the denominator.

2) Write down the whole number result.

3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

Step-by-step explanation:

not sure of this will help... but hope it does!

3 0

2 years ago

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Label the slope and y intercept

astra-53 [7]

Answer:

Slope is 5 and y intersept is 5over6

Step-by-step explanation:

3 0

3 years ago

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