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2 years ago

( The question is on the attachment )

Mathematics

1 answer:

valentina_108 [34]2 years ago

7 0

We can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.

From the graph, we see the line crosses the y-axis at y = 15. That means the y-intercept is 15, and we have so far y = mx + 15.

Now we need the slope. On the graph we see that for every 3 units up in y, there is 1 unit to the right in x. The slope is 3/1 = 3. m = 3. Now we add the slope to the equation.

y = 3x + 15

Answer: y = 3x + 15

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In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

zhannawk [14.2K]

Answer:

Step-by-step explanation:

I = 180-152-7 = 21°

Law of Sines:

g = h·sinG/sinH ≅ 38.5 cm

i = h·sinI/sinH = 29.4 cm

Use Heron's Formula to calculate the area from the lengths of the sides.

semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm

area = $\sqrt{s(s-g)(s-h)(s-i)}$ ≅ 69 cm²

4 0

2 years ago

Number A is 4.576. Number 3 10.043 greater than a. Number Cis 2.510 less than 8. What is the total

slamgirl [31]

Answer:

14.619

Step-by-step explanation:

10.043 + 4.576 = 14.619

4 0

2 years ago

How many rectangle 5cm multiply 2cm <br> Can fits in a square that has one side 10cm long

Sliva [168]

Answer:

<u>10</u> rectangles can fit in the square that has one side 10 cm long.

Step-by-step explanation:

Given:

Rectangle 5 cm multiply 2 cm .

Square that has one side 10cm long.

Now, to find the number of rectangle that can fits in the square.

So, for getting the number of rectangle we need to get the area first:

Area of rectangle as given 5 cm multiply 2 cm :

$5\ cm\times 2\ cm=10\ cm^2$

Then the area of square as given side is 10 cm:

Area of square = (side)²

$Area\ of\ square=10^2$

$Area\ of\ square=100\ cm^2$

Now, for getting the number of rectangle we divide the area of square by area of rectangle:

Number of rectangle = Area of square ÷ Area of rectangle

$Number\ of\ rectangle=100\ cm^2\div 10\ cm^2$

$Number\ of\ rectangle=10.$

Therefore, 10 rectangles can fit in the square that has one side 10 cm long.

3 0

2 years ago

The product of a number and two

mojhsa [17]

Product means multiplication.

A number can be expressed as a variable, such as 'n'.

2n would be the expression.

5 0

2 years ago

Help please, Thank you so much.

Nimfa-mama [501]

(a) $(\frac{1x}{2} - \frac{1}{4}) and 5x^2 -2x-6$

To find product ,

first multiply $(\frac{1x}{2})$ with $5x^2 -2x-6$

$(\frac{1x}{2})* (5x^2 -2x-6) = \frac{5x^3}{2} - x^2 -3x$

Now multiply $(\frac{-1}{4})$ with $5x^2 -2x-6$

$(\frac{-1}{4}) * (5x^2 -2x-6) = -\frac{5x^2}{4} + \frac{x}{2} + \frac{3}{2}$

Now we combine it

$\frac{5x^3}{2} - x^2 -3x -\frac{5x^2}{4} + \frac{x}{2} + \frac{3}{2}$

$\frac{5x^3}{2} - \frac{9x^2}{4} - \frac{5x}{2} + \frac{3}{2}$

(b) No, the products are not same

Because $(\frac{1x}{2} - \frac{1}{4}) is interchanged as (\frac{1x}{4} - \frac{1}{2})$ . when the terms are interchanged then the product will not be same

6 0

2 years ago