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2 years ago

How can b^2+9b+14 be re-written?

1 answer:

3 0

$b^2+9b+14 =\\ \\=b^2+9b-2b + 2b +14 =\\ \\ =b^2+7b +2b +14 = \\ \\ = b(b+7)+2(b+7)=\\ \\=(b+7)(b+2) \\ \\ Answer: \ 4. ) \ (b+7)(b+2)$

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VERY URGENT.

NemiM [27]

Answer:

(1)Base Area= 81 square yards.

(2)

3 ft long and 16 ft wide

6 ft long and 8 ft wide
24 ft long and 2 ft wide

(3)Height=12 Units

Step-by-step explanation:

Question 1

Volume of the rectangular prism=2,592 cubic yards.

Height of the rectangular prism=32 yards

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=2592

32lb=2592

lb=2592/32=81

Base Area= 81 square yards.

Question 2

Volume of the rectangular prism=432 cubic feet.

Height of the rectangular prism=9 feet

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=432

9lb=432

lb=432/9=48

Base Area= 48 square yards.

Any dimension whose product is 48 is a possible choice.

They are:

3 ft long and 16 ft wide
6 ft long and 8 ft wide
24 ft long and 2 ft wide

Question 3

Volume of the rectangular prism=960 cubic units.

Base Area of the rectangular prism, lb=80 Square Units

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=960

80h=960

h=960/80=12

Height= 12 units.

4 0

3 years ago

You and your friend play a game. You answer 80% of the questions correctly and your friend answers 0.60 of the questions correct

bezimeni [28]

Answer:

Step-by-step explanation:

Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.

Let x be the number of questions, solving by trial and error:

$if\ x=2\\x*0.8=1.6\\x*0.6=1.2\\\\if\ x=3\\x*0.8=2.4\\x*0.6=1.8\\\\if\ x=4\\x*0.8=3.2\\x*0.6=2.4\\\\if\ x=5\\x*0.8=4\\x*0.6=3\\\\$

Therefore, the minimum number of questions in the game is 5.

5 0

3 years ago

Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 11.31

Lapatulllka [165]

Answer:

Leg of an isosceles right triangle is 7.99 long.

Step-by-step explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

$a^2 +b^2 = c^2$ -----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

$a^2 +a^2 = c^2$

$2a^2 = c^2$

Substituting the value of hypotenuse

$2a^2 = (11.31)^2$

$2a^2 = 127.91$

$a^2 = \frac{127.91}{2}$

$a^2 =63.955$

$a = \sqrt{63.955}$

a = 7.99

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Chuge%20%5Cmathfrak%20%5Cred%7BQuEsTiOn%7D" id="TexFormula1" title=" \huge \mathfrak \red

trapecia [35]

Answer:

1. In number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: Euclid's lemma — If a prime p divides the product ab of two integers a and b, then p must divide at least one of those integers a and b.

2. The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

Step-by-step explanation:

hope it helps

3 0

3 years ago

Read 2 more answers

1) What is the volume of this aquarium? 5 in. 6 in. 5 in. 10 in. 18 in.

Flura [38]

Which one is the length, height, and width? After you that then multiple and you should have your answer. Hope this helps!

4 0

2 years ago