Collin is building a deck on the back of his family's house. He has enough lumber for the deck to be 75
square feet. The length should be 10 feet more than its width. The situation can be represented by w2
+ 10w - 75 = 0. What should the width of the deck be?

A. 15
B. -5
C. -15
D. 5

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

[tex]a^2 = \sqrt{25}[/tex]

a = 5

Answer:

I believe that you are missing the...

Hypotenuse and Adjacent

Hypotenuse: x ≈ 29.79 units

Adjacent: x ≈ 38.89 units

Step-by-step explanation:

So sorry if it's wrong

Answer:

30 degrees

Step-by-step explanation:

Good luck fam

Answer:

b =4

Step-by-step explanation:

         [tex]b * -3 =-12[/tex]

    2. Regroup terms

          [tex]-3b=-12[/tex]

    3. Divide both sides by -3.

         [tex]b=\frac{-12}{-3}[/tex]

   4. Two negatives make a positive.

       [tex]b=\frac{12}{3}[/tex]

  5. Simplify [tex]\frac{12}{3}[/tex] to 4.

      b = 4

$3.23 = 4 1/5c - .55

4 1/5c = the pounds of plums, and the cost of each pound. - .55 represents subtracting the coupon.

Answer:

90 is the answers for the question

Answer:

24x²-30x+6

Step-by-step explanation:

multiply the parentheses

(8x-2)(3x-3)

calculate multiply

8x•3x-8x•3-2•3x-2•(-3)

collect like terms

24x²-30x+6

Answer:

4 lateral faces

1 base

8 edges

5 vertices

Answer:

the solution is 4sqrt(2)

Answer:

2:3:5

Step-by-step explanation:

24:36:60

1) Find the greatest common factor

24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24

36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36

60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the greatest common factor is 12.

2) Divide all values by 12

24 ÷ 12 = 2

36 ÷ 12 = 3

60 ÷ 12 = 5

Therefore, the simplified form of the ratio is 2:3:5.

I hope this helps!

Answer:

1, 2, 3, 4, 6, 8, 12, 16

Step-by-step explanation:

just factor it

Answer:

X>3

Step-by-step explanation:

Answer:

Step-by-step explanation:

log 31.3= 1.49554433755 (round to 1.496)

ln square root of 7= 0.97295507452 (round to .973)

Answer:

Probability

Step-by-step explanation:

Answer:

Probability.

Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.

Answer:

90 Percent of 20 is 18

Step-by-step explanation:

multiply 90 x 100 then divide by 20

Answer: it is an  octagonal prism

Answer:

It's a hexagonal prism

Answer:

the value of f is -9

Step-by-step explanation:

Answer:

The final mean is higher

Step-by-step explanation:

The mean of all the scores = [tex]\frac{90 + 85 + 98 + 60 + 84 + 78}{6\\} = \frac{495}{6} = 82.5\\[/tex]

The mean of the scores with the 60 dropped = [tex]\frac{435}{5} = 87[/tex]

The final mean is higher

That will always happen when you drop the lowest score.  I worked it out for you so that you would see that it happened in your case.

Answer:

lol i have this question too

Step-by-step explanation:

btw is yall really in highschool, cuz this is a middle school question......

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

Answer:

7/25

Step-by-step explanation:

Answer:

y = 2x + 11

Step-by-step explanation:

y - 3 = 2(x + 4)      

y - 3 = 2*x + 2*4

y -3 = 2x + 8

y     = 2x + 8 +3

  y = 2x + 11

Answer:

Step-by-step explanation:

[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]

Answer:

no it is not a right triangle because the lengths add up to 176 and a right triangle should add up to 190.

Step-by-step explanation:

The side measures of the triangle does not form a right triangle.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The side lengths of the triangle are 44 meters, 55 meters, 77 meters.

For the triangle to be a right triangle, one interior angle should be 90°.

Based on the sides, by Pythagoras theorem,

Square of long side = sum of square of other two sides

⇒ [tex]77^{2}=44^{2} +55^{2}[/tex]

⇒ [tex]5929=1936+3025[/tex]

⇒ [tex]5929\neq 4961[/tex]

Hence we can conclude that the side measures of the triangle does not form a right triangle.

Learn more about triangles here

https://brainly.com/question/6322314

#SPJ2

Answer:

(1 2 ÷ 3) (2 1 ÷ 2) = x

Step-by-step explanation:

The equation is

Let us assume x be the amount of flour she will need in cups.

Now

1 2 ÷ 3 becomes 5 ÷ 3

2 1 ÷ 3 becomes 5 ÷ 2

Now multiply each number  

(5 ÷ 3)(5 ÷ 2) = x  

25 ÷ 6 = x

Hence, (1 2 ÷ 3) (2 1 ÷ 2) = x this would be the equation

Answer:

The coordinates of point y after the transformation is (-6,5)

Step-by-step explanation:

Firstly , we need to get the coordinates of the point y before the transformation

The coordinates are

(-6,-5)

By reflecting over the y-axis, we have the following change;

(x,y) becomes (-x,y)

So we have;

(6,-5)

Then we are to rotate at an angle of 180 degrees counterclockwise

The operation here will be;

(x,y) to (-x,-y)

So we have;

(6,-5) to (-6,5)

Answer:

the answer is B. 150