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4 years ago

Use this CAS to divide (6x3+3x−5)3 by 3x3+2.

Mathematics

1 answer:

Oksanka [162]3 years ago

3 0

Answer:

Remainder : 3x-9

The leading coefficient of the remainder is 3

Step-by-step explanation:

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(b) Work out the value of 3 x 10 x 40 000 000 Give your answer in standard form,

vfiekz [6]

I think the answer would be, 1200000000

5 0

3 years ago

Read 2 more answers

Given: KPST is a trapezoid, KP=ST, MN is a midsegment, MN=20, h=15, PS:KT=3:7 Find: KS and KP

lions [1.4K]

Answer:

Length of KS = 25 units and

Length of KP = 17 units.

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also it is given that, MN = 20 , h = 15 and PS:KT = 3:7.

If two sides of the trapezoid are equal then, it is an isosceles trapezoid.

Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.

A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.

Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let PS = 3x and KT = 7x respectively.

then;

$\frac{PS+KT}{2} = 20$

$\frac{3x+7x}{2} = 20$

$\frac{10x}{2} =20$

On Simplify, we get;

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12 and Length of base KT = 7x = 7(4) = 28.

Now, In triangle PLK

Using Pythagoras theorem to find KP;

It is given here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

$KP^2= PL^2 + KL^2$

$KP^2 = 15^2+8^2 =225 +64 = 289$

$KP = \sqrt{289}$

Simplify:

KP = 17

therefore, the length KP = 17 units

To, construct a line: Join K and S

Now, in triangle KRS

KR = KL +LR = 8 +12 =20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS;

$KS^2 = SR^2+KR^2$

$KS^2 = 15^2 + 20^2 = 225 + 400 = 625$

$KS = \sqrt{625}$

On simplify:

KS = 25

Therefore, the length of KS is, 25 units.

4 0

3 years ago

Consider the line represented by the equation 5x + 2y = 10. How is the slope of the line related to values of A, B, and C in sta

Flauer [41]

Step-by-step explanation:

5x + 2y = 10

Ax + By = C

A = 5

B = 2

C = 10

5 0

3 years ago

Please help me with this and thank you

castortr0y [4]

Answer:

the correct answer is C. 45

Step-by-step explanation:

so 1/5 means there are 5 peice to make a whole...

so if you cut an apple into 5 parts, each slice of that apple is 1/5

so if you cut 9 apples into 5 slices its just multiplication...

5*9=45

**for my visual learners** in the parenthesis are groups of 5 sticks

( ///// ) **those are your apple slices** **now just do that exactly 9 times**

( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )

5 10 15 20 25 30 35 40 45

i really hope this helps <3

8 0

3 years ago

What is the length of the hypotenuse of the triangle?

atroni [7]

Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

$h = \sqrt{ {p}^{2} + {b}^{2} }$

Put all values.

$h = \sqrt{ {24}^{2} + {10}^{2} }$

Simplify it.

$h = \sqrt{576 + 100}$

$h = \sqrt{676}$

Therefore, h= 26ft.

ANS: OPTION A.

Hope it helps....

3 0

3 years ago

Read 2 more answers