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1 year ago

Find the length of segment ac. 60° and 10 cm

Mathematics

1 answer:

Natalija [7]1 year ago

8 0

AC can be found below

$\begin{gathered} \cos 60^{\circ}=\frac{adjacent\text{ }}{\text{hypotenus}} \\ \cos 60^{\circ}=\frac{AC}{10} \\ AC=10\cos 60^{\circ} \\ AC=10\times0.5 \\ AC=5\text{ cm} \end{gathered}$

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yanalaym [24]

Answer:

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Find the value of g(7) for the function below.

Yanka [14]

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3 years ago

a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What

elena-14-01-66 [18.8K]

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

members of a group and $6 for each additional member

of the group

- Take 12 members from x and multiply the rest members by

6 and then add 85 to the product

∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

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3 years ago

Find the Lateral area of a square pyramid with a slant height of 22m and a base length of 8m

Kay [80]

Answer: 352 $m^{2}$

Step-by-step explanation:

To find the Lateral area of a square pyramid , we will follow the three steps below:

1. Find the perimeter of the base

2. Multiply the perimeter by the slant height

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That is :

The lateral surface area of a regular pyramid is lateral area = perimeter of base x slant height of pyramid) ÷ 2.

Applying the formula above:

1. The base is a square , therefore the perimeter of a square is 4L , That is

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32 x 22 = 704m

3. Dividing the result by 2 , we have :

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3 years ago