3. A drinking straw of length 21 cm is cut into 3 pieces. The length of the first piece is x cm.
The second piece is 3 cm shorter than the first piece. The third piece is twice as long as the
first piece
State, in terms of x, the length of EACH of the pieces.
(2 marks)
(ii)
Write a simplified expression, in terms of x, to represent the sum of the lengths of
the three pieces of drinking straw.
(2 marks)
(iii)
Hence, calculate the lengths for the 3 pieces of straw
(4marks)

Answer:

Base = 10.5 cm

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENRAL FORMULAE TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]

SOLUTION :-

[tex]Area = \frac{1}{2} \times Base \times Height[/tex]

[tex]=> 94.5 = \frac{18b}{2}[/tex]

[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]

[tex]=> 18b = 189[/tex]

[tex]=> b = \frac{189}{18} = 10.5[/tex]

Answer: Since both terms are perfect squares, factor using the difference of squares formula,  

a 2  −  b 2 =  ( a + b )  ( a − b)  where  a = 11  and  b = x . ( 11+x) (11-x)

Answer:

D

Step-by-step explanation:

(hg)(x)=(4x+3)(x+2)=4x²+11x+6

Answer:

its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer

Answer:

sqrt(106) =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +9^2 = c^2

25+81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106)= sqrt(c^2)

sqrt(106) =c

Answer:

Length of missing side is 10.44/ √106.

Step-by-step explanation:

Here we have

A right triangle with

1st side = a = 5

2nd sidd = b = 9

and , we need to find 3rd side of triangle

let the 3rd side be x.

Using Pythagoras theorem

a ² + b ² = c ²

( 5 ) ² + ( 9 ) ² = ( c)²

25 + 81 = ( c) ²

106 = ( c) ²

Taking square root of each side

√106 = √ c ²

√106 = c

10.44 = c

So, missing side if triangle is 10.44 /√106.

Answer:

n=6

Step-by-step explanation:

5n-17=2n+1

Subtract 2n from each side

5n-2n-17=2n-2n+1

3n -17 = 1

Add 17 to each side

3n -17+17 = 1+17

3n = 18

Divide by 3

3n /3 = 18/3

n=6

[tex] \large \sf \star \: \green{Answer }\: \star[/tex]

[tex] \small \sf \fbox{n = 6}[/tex]

[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]

subtract 2n from both side

[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]

[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]

Add 17 to both side

[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]

[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]

Divide 18 by 3

[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]

n = 6

Answer:

my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation

Answer and Step-by-step explanation:

To find x, subtract all of the given angles from 180.

We subtract from 180 because the angles in a triangle (when added together) add up to 180.

180 - 90 - 35 = 55

x = 55 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

55°

Step-by-step explanation:

Given :-

We know :-

→ 35 + x + 90 = 180

→ x + 125 = 180

→ x = 55°

Answer:

B. The maximum area that can be enclosed by the fencing

Answer: The maximum area that can be enclosed by the fencing

Step by-step explanation: got it right on my test

Answer:

The student did not complete the inverse operations correctly in Step 3

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

Answer:

A = bh + L(s1 + s2 + s3)

Step-by-step explanation:

The formula for finding surface area of triangular prism is A = bh + L(s1 + s2 + s3).

Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

Answer:

This doesn't make sense because there is no C variable, but I will solve for f if that helps.

Step-by-step explanation:

[tex]f=1.80+32[/tex]

       [tex]-32[/tex]   [tex]-32[/tex]          

[tex]f=-30.2[/tex]      

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

Answer:

C

Step-by-step explanation:

It’s c

Answer:

( x-2)^2 +(y-5)^2 = 12.25

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

( x-2)^2 +(y-5)^2 = (3.5)^2

( x-2)^2 +(y-5)^2 = 12.25

Answer:

out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Answer:

4 cm per hour that's the answer

Answer:

below

Step-by-step explanation:

uG =(12sin45)/sin85

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Answer:

The answer is "lines CD & AB are perpendicular ".

Step-by-step explanation:

Given points:

[tex]A=(0,7)\\\\B=(8,-5)\\\\C=(-3,-8)\\\\D=(6,-2)[/tex]

Calculating the slope of AB: [tex]y = -\frac{12}{8}x + 7[/tex]

Calculating the slope of CD: [tex]y = \frac{6}{9}x - 6[/tex]

simplify the slop:

[tex]AB= -\frac{3}{2}\\\\CD=\frac{2}{3}\\\\[/tex]

Answer:

75.5

Step-by-step explanation:

In the picture, since x is an inscribed angle, it's arc(arc XO) would be twice it's measure. Therefore, arc XO in this picture would be represented by 2x and the larger arc(arc XYO) will be represented by 360-2x since it is all of the perimeter except for the portion that is the measure of arc XO.

For this picture, you would use:

[tex]\frac{arc XYO-arc XO}{2}[/tex] =29

[tex]\frac{360-2x-2x}{2}[/tex]                 Substitute in the measures of the arcs.

[tex]\frac{360-4x}{2}[/tex]                       Combine -2x with -2x to simplify the problem

180-2x=29               DIvide by 2

-2x= -151                   Subtract by 180 from both 180 and 29

x= 75.5                     Divide by -2. (Both numbers are - so the answer is a +)

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

Answer:

0.8 cm = 8km

0.5cm = 5km

hope this helps

Answer:

B) $3 per gallon

Step-by-step explanation:

You can see on the graph that for 1 gallon of gasoline, it is $3.

Hope this helped!

Please mark as brainliest!