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3 years ago

Help asap please!!!!!!

Mathematics

1 answer:

Andrews [41]3 years ago

3 0

Step-by-step explanation:

[(-3 × 2 × (-4)] ÷ [-6 × 12]

[3 × 2 × -4] ÷ [-6 × 12]

[6 × -4]/[-6 × 12]

-4/(-1 × 12]

-4/-12

⅓

Option A is wrong

Option B is wrong -9/-18 = ½ not ⅓

Option C is correct = -24/-72 = ⅓

Option D is wrong = 9/-18 = -½ not ⅓

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Jonathan is designing a rectangular path for his garden using paving stones. The paving stones are square and 50cm wide. If the

koban [17]

Answer: 32 paving stones

Step-by-step explanation:

Hi, to answer this question, first we have to convert the measures of the paving stones into meters.

Since: 1m = 100 cm

50 cm /100 = 0.5m

Now, we have to calculate the area of each paving stone:

Area of a square: s^2 = 0.5^2 = 0.25m2

Next, the area of the path.

Area of a rectangle = width x length = 1 x 8 = 8 m2

Finally, we have to divide the area of the path by the area of each paving stone:

8/0.25 = 32 paving stones

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

Read 2 more answers

Can someone please help mee (20 points and i will give brainliest!!!)

FromTheMoon [43]

Answer:

a. y-intercept:(0, -6), x-intercepts: (3, 0) and (-2, 0). vertex: (0.5, -6.25)

b. y-intercept: (0, 6), x-intercepts(3, 0) and (-2, 0). vertex: (0.5, 6.25)

Step-by-step explanation:

So finding the y-intercept is really easy and is simply when x=0. If you plug in 0 as x it makes $y=(0)^2-0-6$ which simplifies to -6, which is the y-intercept. As for the x-intercepts you can calculate that by using the quadratic equation $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$ . In this case a=1, b=-1, c=-6. So plugging those values in you get $x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-6)}}{2(1)}$ , which simplifies to $x=\frac{1\pm5}{2}$ . This gives you the x-intercepts 6/2 and -4/2 which are 3 and -2. The vertex can be calculated by manipulating the equation so it's in the form of $y=(x-h)^2+k$ where (h, k) is the vertex of the parabola. This is done by moving c to the other side and then completing the square and the isolating y. So the first step will be

Move c to the other side

$y+6=x^2-x$

Complete the square by adding (b/2)^2

$y+6+0.25 = x^2-x+0.25$

Rewrite as square binomial

$y+6.25 = (x-0.5)^2$

Isolate y

$y=(x-0.50)^2-6.25$

(h, k) = 0.50, -6.25 which is the vertex

b: To identify the y-intercept you plug in 0 as x which will only leave c which in this case is 6 which is the y-intercept. (0, 6). To identify the x-intercepts you can simplify plug in the values a, b, c into the quadratic equation which was stated in the previous answer. In this case a, b, c = -1, 1, 6. Plugging these values in gives the equation $y=\frac{-(1)\pm\sqrt{1^2-4(-1)(6)}}{2(-1)}$ . which simplifies to $x=\frac{-1\pm5}{-2}$ which gives the values -2 and 3. To find the vertex it's the same process as before

Factor out -1

$y=-(x^2-x-6)$

Add 6 to both sides (on the left side add -6 since -1 was factored out).

$y-6=-(x^2-x)$

Complete the square by adding (b/2)^2 to both sides (add -(b/2)^2 to left side since -1 was factored out)

$y-6-0.25 = -(x^2-x+0.25)$

Rewrite as square binomial

$y-6.25=-(x-0.5)^2$

Add 6.25 to both sides

$y=(x-0.50)^2+6.25$

(h, k) = (0.50, 6.25)

When you graph the parabolas you'll notice there just flipped relative to the x-axis. This can be deduced by simply looking at the two equations, since the two equations have the same absolute value coefficients, the signs are just different, and more specifically they're all opposite. If you took the first equation and multiplied the entire right side by -1 you would get the same equation. And since that equation really represents the value of y (since it's equal to y) you're reflecting it across the x-axis.

4 0

1 year ago

Read 2 more answers

BRO SOMEONE PLEASE HELP ME OUT BRO I FR NEED SOME HELP. HOW DO YOU DO THIS

Finger [1]

Answer:

there you go bro. 168 degrees for each angle

Step-by-step explanation:

To calculate the central angle visualize a circle in the center of the polygon. A circle has 360 degrees. Divide 360 by the number of sides and that will tell you the central angle size. So 360 divided by 30 equals 18 degrees.

To find the base angle use this formula

180(n-2)/n where n is the number of sides of a regular polygon.

When you plug in 30 for n

4 0

3 years ago

If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13

trasher [3.6K]

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

3 0

3 years ago

The outer diameter of a spherical shell is 36 pie cm³and its inner diameter is 9 cm. Find the volume of the metal contained the

Leona [35]

Answer:

may be 11.460

sorry to say this but I'm not sure bout my answer

(ー_ー✿)

4 0

2 years ago

Help asap please!!!!!!​

Help asap please!!!!!!