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3 years ago

PLEASE HELP ME!! I NEED HELP FAST!

Mathematics

1 answer:

slavikrds [6]3 years ago

8 0

Answer:

part A) rearrange the equations to form simultaneous equations:

y-7x=8

y-5x=-2

now eliminate the y values by minusing the two equations:

(y-7x=8)-(y-5x=-2)

to get:

-2x=-6

x=3

now substitute x into one of the equations to get y:

y=5x-2

y=15-2

y=13

$x = 3 \\ y = 13$

part B) the lines will intercept at (3, 13)

Step-by-step explanation:

hope this helps!

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3 years ago

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

The radius of a sphere is increasing at a rate of 5 mm/s. how fast is the volume increasing when the diameter is 60 mm? evaluate

mamaluj [8]

The diameter of the sphere is 60 mm which means its radius is 30mm. The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
r(t)= 30+ 5x
dr/dt= 5

The speed of volume increase of the sphere volume would be derived from sphere volume:
V(r)=4/3* pi * r^3
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s

4 0

3 years ago

PLEASE, IT IS URGENT!!!!!!!!!!!!!!!!

sasho [114]

Convert the timing into hours only:
11:15 = 11.25h
9:45 = 9.75h
11:45 = 11.75h
7:45 = 7.75h
10:45 = 10.75h

To find the average, we need to find the middle of these timing:
11.25 + 9.75 + 11.75 + 7.75 + 10.75 = 51.25

51.25 ÷ 5 = 10.25h = 10:15 am

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Answer: The average time it docks is 10:15 am.
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5 0

3 years ago