MATHEMATICS COLLEGE

Find the value of x
(6x+7) (8x-17)

Answers

Answer 1
Answer:

Answer:

x=12

Step-by-step explanation:

6x+7=8x-17

-6x     -6x

7=2x-17

+17    +17

24=2x

÷2   ÷2

12=x

x=12

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An office building loses a third of its heat between sundown and midnight and an additional half of the original amount of heat between midnight and 4 AM. If five-eighths of the remaining heat is lost between 4 AM and 5 AM, what proportion of the total heat loss occurs between 5 AM and sunrise?
If you can simplify this equation to the final stage I will reward you!! Try you're best!! I will not give my points to people that don't deserve them :)
I need help please help me

20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 9 centimeters, what will be the exact area of each hexagonal shape?

Answers

Answer:

210.33 cm^2

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height  (opposite) is calculated as,

From Pythagoras's theorem,

hyp^(2) = adj^(2) + opp^(2)

substituting, we have

9^(2) = 4.5^(2) + opp^(2)

81 = 20.25 + opp^(2)

opp^(2) = 81 - 20.25 = 60.75

opp = √(60.75) = 7.79 cm  this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = (1)/(2) bh

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = (1)/(2) x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = 210.33 cm^2

An experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.(a) If any particular experiental run involves the use of single temperature, pressure, and catalyst, how many experimental runs are possible?
(b) How many experimental runs are there that involve use of the lowest temperature and two lowest pressure?

Answers

Answer:

Step-by-step explanation:

Given that an experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

a) Experimental runs possible if use of single temperature, pressure and catalyst is there = no of temperatures x no of pressures x no of catalysts

= 3*4*5 = 60

b) Here pressure and temperature have no choice as lowest is selected.

no of methods = no of catalysts x 1 x1

= 5

a map of barn is shown in coordinate plane in which the coordinates are measured in yards. The map shows the barn a (4,6). A well is dug at (4, y). What are the two values of y such that the barn is 70 yards from the well

Answers

Answer:

The values of y such that the barn is 70 yards from the well are y=76 or y=-64

Step-by-step explanation:

Distance in the Plane

Given two points in a rectangular system of coordinates (a,b) and (c,d) the distance measured between them is calculated with the formula

d=√((c-a)^2+(d-b)^2)

The barn is located at (4,6) and the well is located at (4,y). The value of y must be calculated in such a way the distance between the barn and the well is 70 yards. Thus, the equation to solve is

70=√((4-4)^2+(y-6)^2)

Operating

70=√((y-6)^2)

When taking the square root we must be careful for it has two signs:

70=\pm (y-6)

Rearranging

y-6=\pm 70

which yields to these solutions

y-6=70

\boxed{y=76}

And also

y-6=-70

\boxed{y=-64}

The values of y such that the barn is 70 yards from the well are y=76 yards or y=-64 yards

I need help ASAP !!!

Answers

Answer:

x = 7.5

Step-by-step explanation:

take 20 degree as reference angle

using cos rule

cos 20 = adjacent / hypotenuse

0.93 = 7/x

x = 7/0.93

x = 7.5

Segment addition.........

Answers

Answer:

The answer is 2

Step-by-step explanation:

because if you can add the 9 and the 4 you will get  13 and you subtract 13 from 11 and you get 2.I hope that helps

Answer:

16

Explanation:

NO=4

NP=11

MO=9

MP=?

MO=MN+NO

9=MN+4

MN=9-4

=5

NP=NO+OP

11=4+OP

OP=11-4

OP=7

MP=MN+NO+OP

=5+4+7

=16

HOPE IT HELPS

5.5x10^9 times 2.3x10^7

Answers

5.5* 10^9\cdot 2.3* 10^7\implies (5.5\cdot 2.3)* 10^910^7 \n \quad \n \textit{recall the exponent rules} \n \quad \n (5.5\cdot 2.3)* 10^910^7\implies (5.5\cdot 2.3)* 10^(9+7)

Answer:

Step-by-step explanation:

So 5.5 x 10^9 times 2.3 x 10^7 would equal to 126 500 000.
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