MATHEMATICS HIGH SCHOOL

Which statement is true about every rectangular pyramid?Each lateral face has an area less than the area of the base.
At least two of the lateral faces are congruent.
Each lateral face has the same height.
At least one of the faces has a whole number base or height.

Answers

Answer 1
Answer:

Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)
Answer 2
Answer:

Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)

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If y is the principal square of root 5,what must be true

Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

Answers

Given: 
62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31
16 + 15 = 16 * 15 = 240 ft²
17 + 14 = 17 * 14 = 238 ft²
18 + 13 = 18 * 13 = 234 ft²
19 + 12 = 19 * 12 = 228 ft²
20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

Answer: Option D

Step-by-step explanation

Because

Solve x2 − 8x + 5 = 0 using the completing-the-square method.x = negative four plus or minus the square root of eleven
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five

Answers

Answer:

Option 2

Step-by-step explanation:

We have been given a quadratic equation x^2-8x+5=0

First step in completing method square is to make the coefiicient of  x^2  1

Since, in given quadratic equation coefficient of x^2 is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.

Here, half of coefficient of x that is  8 would be 4 so we will add and subtract 4^2 in given quadratic equation we will get

x^2-8x+4^2-4^2+5=0  

Now, we will proceed to the third step that is making the whole square formula according to the terms

Here, we can see that we are geeting the formula of (x-4)^2 from x^2-8x+4^2

The equation will become (x-4)^2-4^2+5=0

After simplifying we will get  (x-4)^2-16+5=0

After further simplification we will get (x-4)^2-11=0

After more simplification we will get (x-4)=\pm√(11)

Hence, we will get the value of x which is x=4\pm√(11)

The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11

Option B is the correct answer.

We have,

To solve the quadratic equation x² - 8x + 5 = 0 using the

completing-the-square method, follow these steps:

Move the constant term (5) to the other side of the equation:

x² - 8x = -5

Take half of the coefficient of the x-term (-8) and square it:

(-8/2)² = 16

Add the squared value to both sides of the equation:

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

Rewrite the left side of the equation as a perfect square:

(x - 4)² = 11

Take the square root of both sides, considering both positive and negative square roots:

x - 4 = ±√11

Solve for x by adding 4 to both sides:

x = 4 ± √11

Therefore,

The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11

Learn more about equations here:

brainly.com/question/17194269

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Find the product of (4x − 3)(2x2 − 7x + 1). 8x3 − 22x2 + 17x− 3

8x3 + 8x2 + 4x − 3

8x3 − 34x2 + 25x − 3

8x3 − 42x2 + 25x − 3

Answers

(4x - 3)(2x^2 -7x + 1)=\n\n(4x)(2x^2) - (4x)(7x) + (4x)(1) - (3)(2x^2) + (3)(7x) - (3)(1) =\n\n8x^3-28x^2 + 4x - 6x^2+21x-3=\n\n8x^3-34x^2+25x-3

The correct answer is C.

Find the product of (4x − 3)(2x2 − 7x + 1).

Answer:

8x3 − 34x2 + 25x − 3

(Took the exam)

A building measuring 90m by60m is to be built. A paved area of uniform will surround the building. The area is to have an are of 9000 metres squared. How wide is the paved area

Answers

A= 9000m squared and A= base(width)*hight or A=b*h so divide 9000m by 60m
9000/60=(1050) 60 120 180 240 300 360 420 480 and so on
                            1     2     3    4      5     6    7     8

Find the sum of 56 + (-56)
Find the sum of -240 + 370
Find the sum of -5.7 + (-4.2)

Answers

Answer:

0, 130, -9.9 I think

Step-by-step explanation:

Hope this helped!

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