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3 years ago

Solve for h: 3ah-a(2a-6h)=4a+5ah-12

Mathematics

1 answer:

alexgriva [62]3 years ago

7 0

Solve for h by simplifying both sides of the equation, then isolating the variable.

h=a/2+1-3/a

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What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent

elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for $Tan\theta$ = $\frac{Opposite}{adjacent}$

Next, putting the value in the formula.

⇒ $Tan 60° = \frac{12}{adjacent}$

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= $\frac{12}{\sqrt{3} } = 6.92$ ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0

2 years ago

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.

DochEvi [55]

Answer:

$\frac{10}{99}$

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which one is the right one? Help me please.

frez [133]

Answer:

90 km/h

Step-by-step explanation:

To solve this problem you first need to convert minutes to hours since the unit is km/h. Doing this we get half an hour (1 hour=60 mins so you divide 30 by 60) after converting you simply divide 45 by 1/2 or .5 to get the answer.

4 0

3 years ago

Using examples, describe the following.

Hunter-Best [27]

Answer:

1. An intuitive understanding of number, their magnitude, relationships, and how they are affected by operations.

2. The ability to work outside the traditionally taught algorithms.

3. The ability to perform mental mathematics

4. The ability to look at the world and make comparisons.

5. (In non-human animals) The ability to perceive changes in the number of things in a collection.

4 0

3 years ago

The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer

Bezzdna [24]

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

$Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}$

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago