15 dollars every lawn he mows. Is the amount of money proportional to the number of lawns mowed

Mariana [72]

Answer:

it is already rounded to the thousandth which is two decimal places. if you wanted it to the hundredth then it would be 7.9

7 0

3 years ago

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Total surface areas, length and breadth of a cuboid are 10560 cm², 60 cm and 45cm respectively, find the height of the cuboid!

bija089 [108]

Answer:

length (l)=69 cm

breath(b)=45cm

area (a)= 10560 cm²

height (h)=?

now,

Area of cuboid =2(lb+bh+hl)

10560 cm²=2(60×45+45×h+60×h)

10560 cm²=

4 0

3 years ago

2.5 ( 6 x - 4 ) = 10 + 4 ( 1.5 + 0.5 x )

Makovka662 [10]

Answer:

$\bold{x=2}$

Step By Step Explanation:

Expand $\bold{2.5\left(6x-4\right): \ 15x-10}$

Expand $\bold{10+4\left(1.5+0.5x\right): \ 2x+16}$

$\bold{15x-10=2x+16}$

Add 10 To Both Sides

$\bold{15x-10+10=2x+16+10}$

Simplify

$\bold{15x=2x+26}$

Subtract 2x From Both Sides

$\bold{15x-2x=2x+26-2x}$

Simplify

$\bold{13x=26}$

Divide Both Sides By 13

$\bold{\frac{13x}{13}=\frac{26}{13}}$

Simplify

$\bold{x=2}$

4 0

3 years ago

A huge ping-pong tournament is held in Beijing with 32,768 participants at the start of the tournament. Each round of the tourna

sergiy2304 [10]

Answer:

32,768(1/2)^r

Step-by-step explanation:

5 0

3 years ago

E. Find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) Ć(1, -3).

AleksAgata [21]

Answer:

Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Step-by-step explanation:

We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).

We have three sides of triangle AB, BC and AC

The length of side can be calculated using distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Now finding lengths of sides AB, BC and AC

i) Length of side AB

We have A (7,4), B (-8, 6)

and $x_1=7, y_1=4, x_2=-8, y_2=6$

Putting values in formula and finding length

$Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13$

So, Length of side AB is 15.13

ii) Length of side BC

We have B (-8, 6) and C(1, -3)

and $x_1=-8, y_1=6, x_2=1, y_2=-3$

Putting values in formula and finding length

$Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72$

So, Length of side BC is 12.72

iii) Length of side AC

We have A (7,4)and C(1, -3)

and $x_1=7, y_1=4, x_2=1, y_2=-3$

Putting values in formula and finding length

$Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21$

So, Length of side AC is 9.21

So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

7 0

3 years ago