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3 years ago

A toy store has a display showcasing models of local buildings. One model is shown below. Find the volume

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

The answer is 280 because you multiply 7cm x 2cm , then 2cm x 14cm, then you multiply is 14cm x 7cm . Then 7x2=14 , 2x14=18 ,then 14x7=98. So multiply 28,96, and 14 by 2 to get 196 ,56, and 28. Then your total will come up to 280

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Is the given ordered pair a solution to the equation? <br><br><br> y=2x+7;(-2, 3)

iren2701 [21]

Answer:

The answer to your question is: Yes, it is a solution

Step-by-step explanation:

Point (-2, 3)

Line: y = 2x + 7

Process, replace the point in the line

3 = 2(-2) + 7

3 = -4 + 7

3 = 3

As we got that 3 equals 3, then the point given is a solution of the equation.

5 0

3 years ago

Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0

3 years ago

Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th

Mariana [72]

The solution to the equations are:

9x² - 36x + 36 = 0 has two equal real solutions
x² - x + 4 = 0 has no real solutions
The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

$9x\² - 36x + 36 = 0$

The above equation is a quadratic equation which can be represented as:

$ax\² + bx + c = 0$

The discriminant (d) is calculated as:

$d = b\² - 4ac$

So, we have:

$d = (-36)\² - 4 * 9 * 36$

$d = 0$

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

$x\² - x + 4 = 0$

The above equation can be represented as:

$ax\² + bx + c = 0$

The discriminant (d) is calculated as:

$d = b\² - 4ac$

So, we have:

$d = (-1)\² - 4 * 1 * 4$

$d = -15$

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

$4x\² + 23 - 35$

Evaluate the difference

$4x\² -12$

Factor out 4

$4(x\² -3)$

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

5 0

2 years ago

If X = -6 and Y = 10 then find |x|-|3y|/|xy|

jek_recluse [69]

Answer:

(2)

Step-by-step explanation:

6 0

3 years ago

A line passes through the point (10,-8) and has a slope of -5/2. write an equation in point-slope form for this line.

Nady [450]

Answer:

y= -5/2 + 17

Step-by-step explanation:

y=mx+b

-8=-5/2(10)+b

-8=-25+b

17=b

y = -5/2x + 17

6 0

3 years ago