Give the value of x in each quadrilateral. Then state if the quadrilateral is a Trapezoid. Why/why not? (Hint: Shapes are not drawn
to scale)

Answer:

R12,950.00

Step-by-step explanation:

We solve using the formula

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year.

Solving our equation:

A = 6475(1 + (0.2 × 5)) = 12950

A = R12,950.00

Therefore, the amount he will pay after 5 years is R12,950.00

Answer:

$28

Step-by-step explanation:

cp=20

mp=20%ofcp

=20/100*20

=8

now,

sp=mp+cp

=8+20

=28

2/5 ≤ x-4

0.4 ≤ x-4

let's just add 4 on both sides

0.4 +4 ≤ x-4 +4

4.4 ≤ x

simple as that. just handle inequalities like you would handle equations

Answer:

604.4 cm²

Step-by-step explanation:

Surface area of a cone = πr(r + √h² + r²)

π = 3.14

r = diameter/2 = 13.4 cm/2 = 6.7 cm

h = 21 cm

Surface area of a cone = πr(r + √h² + r²)

= 3.14 * 6.7(6.7 + √21² + 6.7²)

= 21.038(6.7 + √441 + 44.89)

= 21.038(6.7 + √485.89)

= 21.038(6.7 + 22.04)

= 21.028(28.74)

= 604.3 cm²

Surface area of a cone = 604.4 cm²

Answer: 2 hr and 13 min

Step-by-step explanation:

Given

Bilal starts at 3 PM and finishes at 5:38 PM

He took a rest of 25 min

Total time spent 2 hr and 38 min

time spend in cycling is given by

[tex]\Rightarrow 2\ hr\ 38\ min-25\ min\\\Rightarrow 2\ hr\ 13\ min\ or\\\Rightarrow 120\ min+13\ min=132\ min\ or\\\Rightarrow 2+0.21=2.21\ hr[/tex]

Answer:

what you need help in we see nothing

Answer:

r

Step-by-step explanation:

Answer:

$52 is the sale price.

Step-by-step explanation:

First find 35% of $80. Multiply .35 x 80 to do this.

.35 x 80 = 28

Then subtract 28 from the original price 80.

80 - 28 = 52

Answer:

x²+4² =8²

x²+16 =64

x² =64-16.

x² =48

x. =√48

answer is option D

Answer:

D

Step-by-step explanation:

The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex] → D

Answer:

10 litres

Step-by-step explanation:

50 litres - 100%

x litres - 30%

x=(50*30)/100=15 litres - that's 30% of the tank (this amount of water is already added)

50 litres - 100%

x litres - 50%

x=(50*50)/100=25 litres - that's 50% of the tank (this amount of water will be in the tank)

To find what amount of water should be added we must subtract the amount of water that is already added from the amount of water that will be in the tank.

25 - 15=10 litres should be added

Answer:

[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Step-by-step explanation:

In this problem, we will use the following formula:

Step 1: Plug in for C and r.

Step 2: Solve.

Final answer (simplified & exact):  [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!

Answer:

B

Step-by-step explanation:

r^2 is 0.9997, and after 10 years it'll be 95660

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

Answer:

the answer is median (b)

Answer:

72

Step-by-step explanation:

1 stamp costs 0.36 cents

Then, 200 post cards will cost 0.36 × 200 = 72

Answer:

$72 dollars

Step-by-step explanation:

200 x 0.36 = 72

Step-by-step explanation:

everything can be found in the picture

Answer:

Mean: 52.8

Median:52

Mode:54

Step-by-step explanation:

Mean: 54+48+37+55+51+54+42+52+53=476

476/9=52.8

Median: 37,42,48,51,52,53,54,54,55. The middle one is 52.

Mode: Most common one = 54

Hope this helps! Have a nice day!

Answer:

[tex]50 \pi \: sq \: ft.[/tex]

Explanation:

as we can see that the sector bounded by the 180° arc is a semi- circle

area of a circle =

[tex]\pi {r}^{2} [/tex]

area of semi circle =

[tex] \\ \frac{\pi {r}^{2} }{2} [/tex]

[tex] = \frac{\pi {10}^{2} }{2} \\ = 50\pi[/tex]

Answer:

x = 2.5

Step-by-step explanation:

We know the adjacent and the opposite sides to the angle in a right triangle

tan theta = opp / adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2 / tan 26

x =2.46036461

Rounding to the nearest tenth

x = 2.5

tan tita = opp/adj

tan 26°=1.2/x

x=1.2/tan 26

x=2.46

x=2.5

Answer:

$405

Step-by-step explanation:

SI=PTR/100

=9*1*750/100

=$ 67.50

In 6 yrs= 67.50*6

=$405

Answer:

The answer is $1087.50

I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)

Answer:

b

d

a

d

Step-by-step explanation:

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

Answer:

The answer is Choice D

Step-by-step explanation

The median is the middle value in the given set of data.

If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.

Thus, from the data, it is obvious that the number of data in the given set is 13.

Hence, the middle number is 23.

Therefore, the median of the data is 23.

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

Answer:

True

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.

Answer:

in = - 9.5

Step-by-step explanation:

- 9.5 × 2 = -19

-19 - 1 = -20

Answer:

Step-by-step explanation:

In exponent multiplication, if base are same just add the powers.

[tex](-6a^{3}b+2ab^{2})(5a^{2}-2ab^{2}-b)=(-6a^{3}b)*(5a^{2}-2ab^{2}-b)+2ab^{2}*(5a^{2}-2ab^{2}-b)\\\\[/tex]

                                             [tex]=(-6a^{3}b)*5a^{2}-(-6a^{3}b)*2ab^{2}-(-6a^{3}b)*b+ 2ab^{2}*5a^{2}-2ab^{2}*2ab^{2}-2ab^{2}*b\\\\=-30a^{3+2}b+12a^{3+1}b^{1+2}+6a^{3}b^{1+1}+10a^{1+2}b^{2}-4a^{1+1}b^{2+2}-2ab^{2+1}\\\\=-30a^{5}b+12a^{4}b^{3}+6a^{3}b^{2}+10a^{3}b^{2}-4a^{2}b^{4}-2ab^{3}\\[/tex]

40% of 34 000

40/100 * 34 000 = 13 600

subtract : 34000 - 13 600 = 20 400

10% of 20 400

10/100 * 20 400 = 2040

subtract : 20 400 - 2040 = $ 18 360