Which expression is equivalent to 27 + 45?8(3 + 6)
8(19 + 37)
9(3 + 5)
9(18 + 36)

Answers

Answer 1
Answer:

Answer:

9 (3 + 5)

Step-by-step explanation:

The given expression is 27 + 45

We can write both terms in factored form as

9×3 + 9×5

Now, since 9 is in both the factors. Hence, we can factored out 9

Factored out 9, we get

9 (3 + 5)

Therefore, the equivalent expression for 27 + 45 is 9 (3 + 5)

Answer 2
Answer:

Answer:

9 (3 + 5) is the answer.


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Jovan is building a fort in his backyard using a 10-foot board He leans the base of the board 6 feet away from the base of the wall. How high will be bourd be able to reuch up the wall? If necessary round to the nearest tenth.​

Answers

That’s a long board because 10 foot is tall

Final answer:

In the scenario, a right triangle is formed with the board, the ground, and the wall. We use the Pythagorean theorem to find the height the board will reach up the wall and get the result as 8 feet.

Explanation:

This is a geometry problem where we need to determine the height the board will reach up the wall. This appears to be a right triangle since the board is leaning against the wall. The length of the board is the hypotenuse (10 feet), and the distance from the wall is one of the legs of the triangle (6 feet).

To find the height the board will reach up the wall, which is the other leg of the triangle, we can use the Pythagorean theorem: a² + b² = c² where a and b are the legs and c is the hypotenuse.

Substitute the given values to the formula: a² + 6² = 10²

Solving this equation gives: a² = 10² - 6²

Then, a² = 64

So, a = √64 = 8

Thus, the height the board will reach up the wall is 8 feet.

Learn more about the Pythagorean theorem here:

brainly.com/question/19649203

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ABCD is a rectangle with angle abd=40 determine angle dbc

Answers

I can’t do this without an image, because I am not that smart. All angles should be 90, but a rectangle equals 360 in a rectangle.

Apples sell 5 for a $1.00 how much will 2 1/2 dozen cost

Answers

1 dozen=12

2 and 1/2 dozen means 12 times 2.5=24+6=30 apples

5sellfor1

we know that 5 times 6=30

5 for 1
times 6 both sides
30 for 6

$6 for 2 and 1/2 dozen



$6.00

My dad has 8 oak and maple boards from the lumber yard. Each oak board is 9 centimeters thick. Each maple board is 6 centimeters thick. When my dad stacks the boards, the stack is 60 centimeters thick. How many of each type of board does he have_Oak boards
_Maple boards

Answers

he has 4 oaks because each oak is 9 cm and 9*4=36
and he has 4 maple because the maple is 6 cm and 6*4= 24 and 24+36=60
so he as 4 of each
if i am wrong i am sorry

Part I: Triangle ABC is called a special right triangle. What kind of special right triangleis it (2 points)

Answers

Answer:

30-60-90 triangle

Angle BCD = 60

Hypotenuse is 2 times the length of short leg

The long leg is √(3)  times the short leg

BC = 20

Step-by-step explanation:

I think the explanations are in the questions.

You need to memorize the relationships

Examples of rational numbers

Answers

Examples of rational numbers :
1, 1/2, 3/4 , 5 , 6, 15/8 etc

Rational numbers are numbers which can be written as fraction as also that the numerator and denominator are whole examples.
Example 5 can be written as fraction in the form of 5/1.