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2 years ago

Help i need this one question asap

Mathematics

2 answers:

aliina [53]2 years ago

8 0

Answer:

516$

Step-by-step explanation:

6%=0.6

0.6*860=

hope this helps

let me know

Genrish500 [490]2 years ago

3 0

$51.60 is your tax, so the total would be $911.60

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20. Math and Science There are 6 pure

faltersainse [42]

2/1 frptrhgqhgr4tjtfix jxcfh8u5t8ofszYI7wyt439tfy7efgy5g

4 0

2 years ago

To gain a pass a student needs to achieve a mean of at least 60% in eight tests. In the first seven

Tanzania [10]

Step-by-step explanation:

the mean value is the sum of all data points divided by the number of data points.

first we have 7 tests and their mean value :

(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54

that means

(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378

in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480

because only then we have

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60

and the student passes.

so,

(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480

378 + t8 = 480

t8 = 480 - 378 = 102%

the student would have to achieve 102% on the 8th test.

which would be normally impossible, but maybe the tests involve some bonus points.

6 0

1 year ago

A scale drawing of a rectangular park had a scale of 1 cm = 100 m.

Brilliant_brown [7]

Answer:

521,400 meters squared

Step-by-step explanation:

With the 1cm = 100m scale

6.6 cm = 660m

7.9 cm = 790m

Area = 660 x 790 = 521,400 meters squared

7 0

2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

3 years ago

Helps are really appreciated!!

Nastasia [14]

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

8 0

2 years ago