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jolli1 [7]
3 years ago
9

Use order of operations to solve. (24 divided 3) + 3.5 + 3 power of 3

Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

47.5

Step-by-step explanation:

1. 24/3=8

2. 3x3x3=36

3. 8+3.5+36=47.5

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The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.
Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The  distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, h=15\ ft

The distance from the base of the pole to this point on the ground is, b=8\ ft

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2

Plug in the given values and solve for 'l'. This gives,

l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0
3 years ago
What is the value of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B64%7D%20" id="TexFormula1" title=" \sqrt{64} " alt=" \sq
sesenic [268]
8 as that means what two of the same number makes up , in this case 64. 8x8=64
7 0
3 years ago
What is the inverse of the function f(x) = 2x – 10?
Nadusha1986 [10]

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

6 0
3 years ago
Find the missing side length of m.
zysi [14]

Answer:

m=4

Step-by-step explanation:

Since we know that quadrilateral ABCD is similar to QRST, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

\frac{ST}{CD}=\frac{RS}{BC}\\\\\frac{6}{15} =\frac{m}{10}\\

\frac{6*10}{15} =m\\m=60/15=4

m=4

6 0
3 years ago
The formula h = 60t - 5t2 can be used to find the height h, in meters, of an object shot upward with initial speed of 60 meters
slega [8]

Answer:

135 meters

Step-by-step explanation:

h = 60t - 5t²

t is in seconds and it says to find out the height after 3 seconds

Sub the value '3' into 't'

h = 60(3) - 5(3)²

h = 180 - 5(9)

h = 180 - 45

h = 135 m

7 0
3 years ago
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