See image attached,,,,,,,

Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.

qwelly [4]

Step-by-step explanation:

I'm not sure what the square root method is, but I'm assuming that you factor.

This is how I would solve it:

$h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2}$

Since time can't be negative, you rule out the -3/2.

Answer:

$t = \frac{3}{2}$

7 0

3 years ago

A rectangle's area is 6 units larger than its perimeter. The height of the rectangle is 4 units. What is the base of the rectang

choli [55]

The area of a rectangle is the product of its dimensions

The base of the rectangle is 7 units

<h3>How to calculate the base of the rectangle</h3>

The area of a rectangle is:

Area (A) = Base (B) * Height (H)

From the question, we have:

A = 6 + P

H = 4

The perimeter of the rectangle is:

P =2 * (B + H)

So, we have:

P =2 * (B + 4)

Substitute P =2 * (B + 4) in A = 6 + P

A = 6 + 2 * (B + 4)

Expand

A = 6 + 2B + 8

Evaluate

A = 2B + 14

The area of the rectangle is:

A = BH

So, we have

A = 4B

Substitute 4B for A in A = 2B + 14

4B = 2B + 14

Subtract 2B from both sides

2B = 14

Divide both sides by 2

B = 7

Hence, the base of the rectangle is 7 units

Read more about areas at:

brainly.com/question/24487155

7 0

3 years ago

Please include what axioms and theorems were used as well.

alexgriva [62]

Part (i)

1. ABCD is a quadrilateral in which AD=BC and ∠DAB=∠CBA (given)

2. AB = AB (reflexive property)

3. Triangles ABD and BAC are congruent (SAS)

Part (ii)

4. BD=AC (corresponding sides of congruent triangles are equal)

Part (iii)

5. ∠ABD = ∠BAC (corresponding angles of congruent triangles are equal)

6 0

2 years ago

Read 2 more answers

Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5. Please help if you can!

Allisa [31]

Answer:

13.8%

Step-by-step explanation:

I have created a table that shows all of the possibilities that two die's can roll when summed up. If we count all of these possibilities we can see that there are a total of 36 outcomes. From all of these outcomes we can also see that only 4 outcomes sum up to be a total of 5. Therefore, we have to divide the number of times 5 is a possibility by the total number of outcomes to get the probability of actually getting a sum of 5.

5 / 36 = 0.138 ... multiply by 100 to get percentage

0.138 * 100 = 13.8%

3 0

3 years ago

Operaciones de números enteros explicando el paso a paso. Lo más rápido posible por favor!!!

SVEN [57.7K]

Answer:

How to do integers operations?

Integers are whole numbers, both positive and negative. You can perform four basic math operations on them: addition, subtraction, multiplication, and division. When you add integers, remember that positive integers move you to the right on the number line and negative integers move you to the left on the number line

Cómo hacer operaciones con números enteros?

Los enteros son números enteros, tanto positivos como negativos. Puede realizar cuatro operaciones matemáticas básicas con ellos: suma, resta, multiplicación y división. Cuando sume números enteros, recuerde que los números enteros positivos lo mueven hacia la derecha en la recta numérica y los enteros negativos lo mueven hacia la izquierda en la recta numérica.

Step-by-step explanation:

4 0

3 years ago