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Zielflug [23.3K]
3 years ago
7

Uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimeters and a height of 7 centimeters. Sh

e plans to cut out 68 triangles with these dimensions. What will be the total area of the triangles?
10 POINTS! please answer with explanation
Mathematics
1 answer:
Mariana [72]3 years ago
6 0

Answer:

<h2>1,190cm²</h2>

Step-by-step explanation:

The Area of a triangle is expressed  as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;

Area of the blanget = 1/2 * 7 * 5

Area of a blanket = 35/2 = 17.5cm²

If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²

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Can sombody please confirm me the formula for SA(surface area) of a triangular prism. please.
mote1985 [20]
bh + l(s_1 + s_2 + s_3)
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h = height of triangle
s = side length of triangle
l = length of rectangle
6 0
3 years ago
Consider the following theorem and proof.Theorem: The number âš2 is not rational number.Proof: Let's suppose âš2 is a rational n
ololo11 [35]

Answer:

The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

Step-by-step explanation:

We need to  show that the √2 is an irrational number.

And from the given steps of proof stated in the question, we need to find the assumption that justifies the fact : " Both of the number a and b cannot be even".

First take the given options :

Option a : √2 is a rational number

√2 being an rational or irrational has no relation of a and b to be even or odd. So, this option is rejected.

Option B : a/b is simplified lowest terms

This shows that a and b are not even because if a and b are even then a/b can be simplified in other lowest term.

Option c : √2 is a irrational number

Similarly, By using the inverse part of Option A, option c is also rejected.

Option d : The fact that b divides a evenly

This only shows that the a is even. This does not give any idea about b is even or not. So option D is also rejected.

Option E : The fact that a and b are whole numbers

This fact does not imply that the a and b are even or odd. So option E is also rejected.

Hence, The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

7 0
3 years ago
To download movies off the Internet you must pay $1.99 per movie plus a one time fee of $5.50 write an expression to show the to
MrRissso [65]
1.99<span>x + 5.50 = Total cost</span>
4 0
3 years ago
The area of a rectangle is 4w - 10 square units.
podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

<em><u>Solution:</u></em>

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

<em><u>The area of rectangle is given as:</u></em>

Area\ of\ rectangle = length \times width

Area\ of\ rectangle = 2 \times (2w - 5)

Thus, multiplying the length and width of a rectangle, we get the area of the rectangle

When we multiply 2 with 2w - 5 we get the area of rectangle

From above we can say,

Length = 2 or 2w - 5

Width = 2w - 5 or 2

So when dimensions of rectangle are multiplied we get area of rectangle

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3 years ago
What is the answer to 4x²+7=31
Shtirlitz [24]

Answer: x2= 6

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Step-by-step explanation:

Simplifying

4x2 + 7 = 31

Reorder the terms:

7 + 4x2 = 31

Solving

7 + 4x2 = 31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 4x2 = 31 + -7

Combine like terms: 7 + -7 = 0

0 + 4x2 = 31 + -7

4x2 = 31 + -7

Combine like terms: 31 + -7 = 24

4x2 = 24

Divide each side by '4'.

x2 = 6

Simplifying

x2 = 6

3 0
3 years ago
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