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3 years ago

Find the length of the hypotenuse. Round your answer to the nearest hundredth.

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

3 0

Answer:

8.06

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65= c^2

Find the square root of 65

8.06

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Riya got 10 correct answers and ten incorrect answers. what is her score if each correct answer is awarded with 3 marks and each

Natasha2012 [34]

Answer:

Step-by-step explanation:

Riyas score = ( correct answer × mark) + ( incorrect answer × mark lost )

= ( 3× 10) + ( -1 ×10 )

= 30 -10

=20

5 0

3 years ago

Law of radicals

andrey2020 [161]

Answer:

1) $\sqrt{x^7}=x^{\frac{7}{2}$

2) $\sqrt[3]{y^5}=y^{\frac{5}{3}$

3) $\sqrt[5]{a^{12}}=a^{\frac{12}{5} }$

4) $\sqrt[4]{z^{9}}=z^\frac{9}{4}$

Step-by-step explanation:

1) $\sqrt{x^7}$

We know that $\sqrt{x}=x^{\frac{1}{2}$

So, $\sqrt{x^7}=x^{\frac{7}{2}$

2) $\sqrt[3]{y^5}$

We know that $\sqrt[3]{x}=x^{\frac{1}{3}$

So, $\sqrt[3]{y^5}=y^{\frac{5}{3}$

3) $\sqrt[5]{a^{12}}$

We know that $\sqrt[5]{x}=x^{\frac{1}{5}$

So, $\sqrt[5]{a^{12}}=a^{\frac{12}{5} }$

4) $\sqrt[4]{z^{9}}$

We know that $\sqrt[4]{x}=x^{\frac{1}{4}$

So, $\sqrt[4]{z^{9}}=z^\frac{9}{4}$

6 0

3 years ago

Write an equation that represents the line passing through the point -3, -1 with a slope of 4

Alex17521 [72]

Answer:

Equation that represents the line passing through the point -3, -1 with a slope of 4 is

$y= 4x+11$

Step-by-step explanation:

Equation of line in point slope form is

$y-y_1=m(x-x_1)$ -------(1)

Here

$m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)$

Substituting values in equation (1)

$y+1=4(x+3)\\ y= 4x+11$

4 0

2 years ago

Which answer is equivalent to 4 1/3*4 1/6?<br> a. 16<br> b .6√16<br> c. 2<br> d. 3√4

Talja [164]

Answer:

Step-by-step explanation:

$4^\frac{1}{3}\cdot4^\frac{1}{6}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=4^{\frac{1}{3}+\frac{1}{6}}=4^{\frac{1\cdot2}{3\cdot2}+\frac{1}{6}}=4^{\frac{2}{6}+\frac{1}{6}}=4^\frac{2+1}{6}=4^\frac{3}{6}=4^\frac{3:3}{6:3}=4^{\frac{1}{2}}\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\=\sqrt[2]{4^1}=\sqrt4=2$

5 0

3 years ago

Is 12/4 equal to 3/12

kotegsom [21]

Answer:

No, it is not.

Step-by-step explanation:

The decimal value of 12/4 is 3

The decimal value of 3/12 is 0.25

8 0

2 years ago