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AlladinOne [14]
3 years ago
12

I would enjoy a brief explanation for each one thank you!☺️

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Step-by-step explanation:

1. 4 3/4=19/4

53/2=13/2

the total change of square will be. 19/4 + 13/2= 19+26/4=45/4

2. total change is 0.7+0.4=1.1

3.-7 1/6= -43/6

3 5/6= 23/6

-43/6 + 23/6 =-20/6 = -10/3

4. metals=2.625(m)

paper=5.58(p)

glass= x

total = 9.5(t)

m + p + x = t

2.625 + 5.58 + x =9.5

8.205 + x = 9.5

x = 9.5 - 8.205

x = 1.295

Hope That Helped

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Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
Sav [38]
Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
g(x)=-2x+12   (from given table, find slope and y-intercept)
We can see from the graphics that g(x) will be almost tangent to the circle at (0,11), and that both intersection points will be at x>=11.
To show that this is the case, 
substitute g(x) into the circle
x^2+(-2x+12)^2=121
x^2+4x^2-2*2*12x+144-121=0
5x^2-48x+23=0
Solve using the quadratic formula,
x=(48 ± √ (48^2-4*5*23) )/10
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3 years ago
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Aneli [31]

Answer:

subtract 2.4 from both sides,  simplify to -3x=16.8, divide by -3, simplify to x=-5.6.

Step-by-step explanation:

-3x + 2.4 = 19.2

 v     <u>-2.4</u>   <u>-2.4</u>

 v       0      16.8

    <u>-3x</u>=<u>16.8</u>

     -3    -3

       x=-5.6

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<h3>Noelle</h3>
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3 years ago
For centuries, mathematics seemed to exist in service to the natural sciences. Many of the great mathematical breakthroughs, lik
adell [148]

Answer:

b,d

Step-by-step explanation:

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3 years ago
Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure
Tju [1.3M]

<u>Corrected Question</u>

Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure of ∠QTS and

mRQT=mRST .

(a)Determine the measure of Angle QTS .

(b)What is the common measure of angles RQT and RST ?

Answer:

(a)48 degrees

(b)90 degrees

Step-by-step explanation:

Theorem: Opposite angles of a cyclic quadrilateral are supplementary.

(a)

Let the measure of ∠QTS=x

Therefore: m∠QRS=3x-12

∠QTS and ∠QRS are opposite angles of a cyclic quadrilateral. By the theorem above:

x+3x-12=180

4x=180+12

4x=192

x=48 degrees

The measure of angle QTS is 48 degrees.

(b)Since mRQT=mRST

mRQT and mRST are opposite angles of a cyclic quadrilateral

Therefore:

mRQT+mRST=180 degrees

2mRQT=180

mRQT=90 degrees

Therefore, the common measure of RQT and RST is 90 degrees.

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