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wel
3 years ago
5

I need some help please

Mathematics
1 answer:
muminat3 years ago
3 0
Answer: 113.0 ft (bottom right corner)

=====================================

Explanation:

The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side

opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram

So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3

Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0

note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places

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3 years ago
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The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
3 years ago
arron takes his dog for a walk afer school, he walks 5 blocks east and then 4 blocks north. if he was able to take a direct rout
nlexa [21]

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where a and b are 2 legs of the triangle, and c is the hypotenuse, aka the longest side of any triangle:

a^2+b^2=c^2

We know a and b and want c

4^2+5^2=c^2

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3 0
2 years ago
Combine and simplify the following radical expression <br><br> ASAP ASAP ASAP ASAP
Montano1993 [528]

Answer:

\sqrt[3]{3}

Step-by-step explanation:

Our expression is: \frac{1}{3} \sqrt[3]{81}.

Let's focus on the cube root of 81 first. What's the prime factorisation of 81? It's simply: 3 * 3 * 3 * 3, or 3^3*3. Put this in for 81:

\sqrt[3]{81} =\sqrt[3]{3^3*3}=\sqrt[3]{3^3} *\sqrt[3]{3}

We know that the cube root of 3 cubed will cancel out to become 3, but the cube root of 3 cannot be further simplified, so we keep that. Our outcome is then:

\sqrt[3]{3^3} *\sqrt[3]{3}=3\sqrt[3]{3}

Now, let's multiply this by 1/3, as shown in the original problem:

\frac{1}{3}* 3\sqrt[3]{3}=\sqrt[3]{3}

Thus, the answer is \sqrt[3]{3}.

<em>~ an aesthetics lover</em>

6 0
3 years ago
7. 60% of 90<br> Find the percent of the quantity
NeTakaya

Answer:

54

Step-by-step explanation:

60% of 90 = 60/100 × 90

= 0.6 × 90

= 54

Therefore, 60% of 90 is 54.

4 0
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