All categories

3 years ago

Name

Mathematics

2 answers:

astraxan [27]3 years ago

4 0

Here is your answer
Mark it Magnetic field

LenaWriter [7]3 years ago

3 0

Answer:

1.) -6

2.) 0

3.) 3

4.) -4

Step-by-step explanation:

1.) subract 1 from seven then take the larger numbers sign (-)

2.) 7 - 7 = 0

3.) 5 - 2 = 3

4.) samd step as 1

You might be interested in

Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the

Kitty [74]

Answer:

630 people

Step-by-step explanation:

Ratios:

$\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630$

5 0

2 years ago

Note: Images may not be drawn to scale

OleMash [197]

Answer:

1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...

A'B'/AB = 2/6 = 1/3

The scale factor is 1/3.

8 0

2 years ago

The question is below

Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)
Find the area of the lawn (trapezoid)
Find the number of cans needed
Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

$\frac{B_1 + B_2}{2}* h$

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²
64 + fence² = 289
225 = fence²
fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

$A = \frac{B_1 + B_2}{2} * h$
$A = \frac{12 + 20}{2} * 15$
$A = \frac{32}{2} * 15$
$A = 16 * 15 = 240$

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.75
59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : $a^2 + b^2 = c^2$