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3 years ago

Question 22 of 43

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

8 0

Answer:

the base of the parallelogram is apoplexy equal to the half the circumles of the circle D

Step-by-step explanation:

Wittaler [7]3 years ago

7 0

Answer: D. Half of the Circumference

Step-by-step explanation:

I just got it right on my quiz so its ap3x approved.

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Bongiwe invests R12 000 in a savings account at 6,5% per annum compound interest. Calculate how much there will be in the saving

lianna [129]

Step-by-step explanation:

can you give me solution

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2 years ago

NEED MATH HELP NOW. Please solve for x-intercept.

Lelechka [254]

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

y=2x²-8x+6

x- intercept when y=0

2x²-8x+6=0
x²-4x+4=1
(x-2)²=1
x-2=1 ⇒ x= 3
x-2= -1 ⇒ x= 1

5 0

3 years ago

determine whether the lines intersect and if so find the point of intersection and the cosine of the angle of intersection x=4t+

Fittoniya [83]

Answer:

As the lines are not intersecting nor parallel, they must be skew.

Step-by-step explanation:

Question is incomplete, we consider the nearest match available online.

Parametric equations of two lines are:

L₁ : x=4t+2 , y = 3 , z =-t+1

L₂: x=2s+2 , y= 2s+5 , z = s+1

If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

$4t+2=2s+2 ---(1)\\ \\3=2s+5---(2) \\\\-t+1=s+1---(3)$

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

$From (3)\\-t=s\\From (2)\\\\s=\frac{3-5}{2}\\\\s=-1\\\implies t=1\\\\To\,\,check\,\, the \,\,values \,\,of \,\,s\,\, and \,\,t \,\,for\,\,intersection\,\,put \,\,them\,\, in\,\, (1)\\\\4(1)+2= 2(-1)+2\\ 6\ne0$

Hence the lines are not intersecting nor parallel, they must be skew.

6 0

3 years ago

A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the spee

kherson [118]

Answer:

plane: 530 mi/h
wind: 40 mi/h

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

speed = distance/time

p +w = (2565 mi)/(4.5 h) = 570 mi/h

p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

(p +w) +(p -w) = (570) +(490) mi/h

2p = 1060 mi/h

p = 530 mi/h

Then the speed of the wind is ...

w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

7 0

3 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle.

Mamont248 [21]

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

$Area=lw\\Area=6*9\\Area=54$

Then, find the area of the semicircle...

$Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3$

$Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1$

Now, add the two to get...

54+14.1=68.1

3 0

2 years ago