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3 years ago

What is the value of x in simplest radical form?

Mathematics

1 answer:

sasho [114]3 years ago

8 0

Answer:

x = 85

Step-by-step explanation:

Because this is a right triangle, we can use the Pythagorean Theorem:

a² + b² = c²

Where c is the hypotenuse, or the longest side. This is opposite to the right angle of the right triangle. So now you have:

84² + 13² = x²

7056 + 169 = x²

7225 = x²

√7225 = √x²

85 = x

x = 85

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A baby was born 3/4 of a month early. At birth its weight was 7/8 kilograms, which is 9/10 kilograms less than the average weigh

BlackZzzverrR [31]

Answer:

The average weight of a newborn otter is 1.775 kg.

Step-by-step explanation:

We are given the following in the question:

Weight of newborn otter =

$\dfrac{7}{8}\text{ kg}$

Let x lg be the average weight of a newborn otter.

Thus, we are given the relation:

$\dfrac{7}{8} = x - \dfrac{9}{10}\\\\x = \dfrac{7}{8} + \dfrac{9}{10}\\\\x = \dfrac{35+36}{40} = \dfrac{71}{40}\\\\x = 1.775\text{ kg}$

Thus, the average weight of a newborn otter is 1.775 kg.

7 0

3 years ago

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Vesna [10]

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = $\frac{1}{2}$

Then, A(8, 4) → A'(4, 2)

B(-2, 2) → B'(-1, 1)

C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

3 0

3 years ago

The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon. a

Tems11 [23]

It is given in the question that

The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon.

It means cost of one gallon of gas is $3.65 .

And the tank hold 19.8 gallon . So cost of 19.8 gallon is

$= $3.65*19.8 = $72.27$

Therefore about $72.27 it will cost to fill the tank .

8 0

3 years ago

Name two rays that contain the following line segments: • QP• SU (the options for QP are: rays PU; QP; TQ; NP; MS)(the options f

julsineya [31]

From the figure, segment QP is in the ray RP and RP contains N and Q in between

so from the options, the two rays will be : ray QP and ray NP

For SU :

segment SU is in the ray RU and RU contains S and T in between,

so from the options again, the two rays will be : ray RU and ray SU

5 0

2 years ago

Use the commutative property of addition to write an equivalent algebraic expression. 8 + 6x

IRINA_888 [86]

Answer:

Step-by-step explanation:

8 + 6 x the sum of 8 + 6 = 84

3 0

2 years ago