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NeTakaya
3 years ago
13

9 - 3 root 3 + 3 root 3 - 3

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0
Simplify 3^3
= (9-27) + (27-3)
= (-18) + (24)
= 6
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A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately,
Marina CMI [18]

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

7 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
A is set of positive multiples of 5 less than 23
Juli2301 [7.4K]

9514 1404 393

Answer:

  {5, 10, 15, 20}

Step-by-step explanation:

Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...

  0 < 5n < 23

  0 < n < 4.6

That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...

  5 × {1, 2, 3, 4} = {5, 10, 15, 20}

3 0
3 years ago
10 points!!!!!!!!!!!!!!
Murrr4er [49]

Answer:

B) x^2 - 3/ 3x

Step-by-step explanation:

As, f(x) - g(x) = x/3 - 1/x

So, x^2/ 3x - 3/ 3x

= x^2 - 3/ 3x

7 0
3 years ago
Read 2 more answers
A regular square pyramid has a base length of 6 cm. the slant height of the pyramid is 9 cm. what is the surface area of the reg
PolarNik [594]
So..hmm check the picture below

the pyramid is really just 4 triangles and 1 square at the bottom, all stacked up to each other at the edges

get the area of the square bottom, is just a 6x6 square,  thus the name of the pyramid

and get the area of each triangle, notice the base  is 6, the altitude or height is 9

and add them all up, that's the surface area of the pyramid

6 0
3 years ago
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