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3 years ago

Simplify the square root of 32/5

1 answer:

3 0

Remember $\sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} }$
and
$\sqrt{ab^2} =b \sqrt{a}$
$\sqrt{ \frac{32}{5} } = \frac{ \sqrt{(4^2)(2)} }{ \sqrt{5} } = \frac{ 4\sqrt{2} }{ \sqrt{5} }$
times whoe thing by $\frac{ \sqrt{5} }{ \sqrt{5} }$
$\frac{4 \sqrt{10} }{5}$

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Please help asap!! Due today!

Elena-2011 [213]

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

5 0

2 years ago

In the figure LMV is similar to UTK. what's the value of x the length of side LM?

Kipish [7]

To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.

Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).

Corresponding pairs:

LM(x) : UT(39)

MV(30) : TK(65)

VL : KU

However, we need only be interested in the first two pairs. Here is the proportion with letters:

LM / UT = MV / TK

and as numbers:

x / 39 = 30 / 65

Solve for x:

x / 39 = 30 / 65

Cross multiply:

(x)(65) = (39)(30)

Simplify:

65x = 1170

Divide:

65x/65 = 1170 / 65

Simplify:

x = 18

<h2>Answer:</h2>

The length of side LM (x) in triangle LMV is 18 units.

7 0

3 years ago

The equation of line p is y=ax+b. Which of these could be the equation of line q? A.y=−3a(x+6)+b

Ilia_Sergeevich [38]

The slope of line q is that of line p scaled by a factor of 3 (not -3). The y-intercept of line q is 6 less than the y-intercept of line p. The appropriate choice is
D. y = 3ax +b -6

7 0

2 years ago

Read 2 more answers

Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac

olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0

3 years ago

Read 2 more answers

Find in the triangle. Round to the nearest degree.<br> a.<br> 45°<br> C. 60°<br> b. 59°<br> d. 42°

aleksklad [387]

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees

6 0

3 years ago