The next step in the solution for which equation could use the distributive property?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Equation A. 4(t-6)=3t+9; 4t-24=3t+9; t-24=9; t=9+24; t=33;

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How do i show my working when trying to work out 3 1/3 divided by 4?

PolarNik [594]

Answer:

5/6

Step-by-step explanation:

When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.

3 1/3 must be converted to an improper fraction before we can do this, though.

3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.

Now we can divide. Remember 4 is the same thing as 4/1

10/3 ÷ 4/1

Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.

It ends up looking like 10/3 x 1/4

Multiply: 10 x 1 and 3 x 4

It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.

The final answer is 5/6

6 0

2 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$