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3 years ago

Work out the area of the tile.

Mathematics

1 answer:

zzz [600]3 years ago

5 0

Answer:

190 cm²

Step-by-step explanation:

Use the area of a trapezium formula: $\frac{1}{2} (a+b)h$

where a and b are the top and bottom bases, and h is the height.

Therefore,

area = $\frac{1}{2}\times (12+26)\times10$ = 190 cm²

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Show that x⁵²-21x+20 is divisible by x− 1.

SashulF [63]

Answer

given equation,

x⁵²-21 x+20

A number to be divisible by the another number means that on dividing the remainder should be zero.

if x⁵²-21 x+20 is divisible by x− 1 means that x-1 should completely divide the equation.

so,

x -1 = 0

x = 1

x⁵²-21 x+20 to be divisible it should be equal to zero when x = 1

putting x = 1

= (1)⁵²-21 (1)+20

= 1 - 21 + 20

= 21 -21

= 0

hence x = 1 is the root of the equation

so, x⁵²-21 x+20 is divisible by x− 1.

4 0

3 years ago

It takes 3 tractors 2 hours to plow a square field whose side is 600 meters. find the number of hours it would take 5 tractors t

NeTakaya

Answer:

5 tractors can plow a square field of side length 1,000 meters in 3.33 hours (3 hours 20 minutes)

Step-by-step explanation:

Let's find out how much each tractor can plow each hour.

$\frac{600^{2} }{3*2}=60,000m^{2}$ per tractor per hour

$1,000^{2}=1,000,000m^{2}$ is the area of the field of side length 1,000 meters

5 tractors can plow $300,000m^{2}$ per hour.

$\frac{1,000,000}{300,000}=3.33$ hours

8 0

3 years ago

What is the equation of the asymptote? f (x) = 3^x-5+1<br> y=?

Natasha_Volkova [10]

The equation of the asymptote is $y=1$

Explanation:

The given equation is $f(x)=3^{x-5}+1$

We need to determine the horizontal asymptote of the equation.

The given equation is of the exponential function of the form $f(x)=c \cdot n^{a x+b}+k$ and has a horizontal asymptote $y=k$

Hence, from the above equation, the value of k is 1.

Therefore, we have,

$k=1$

Thus, the horizontal asymptote is $y=1$

Therefore, the asymptote of the equation is $y=1$

4 0

3 years ago

What does 3 1/4-1 3/4

kherson [118]

Answer:

1.5

Step-by-step explanation:

3.25-1.75

1.5

3 0

3 years ago

Select the correct answer.

guajiro [1.7K]

C is the correct answer to this question :)

4 0

3 years ago

Read 2 more answers