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Leokris [45]
3 years ago
14

in isosceles triangle the length of a leg is 17 cm, the vase is 16 cm. find the length of the altitude to the base

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

15 cm

Step-by-step explanation:

The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side. The Pythagorean theorem applies, so you have ...

... (17 cm)² = (altitude)² + (16 cm/2)²

... altitude = √(17² -8²) cm = √225 cm

... altitude = 15 cm

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Simplity (4^-2)^5<br> A.1/4^10<br> B. 4^3<br> C.1/4^3<br> D. 4^10
Goshia [24]

Answer:

(4^{-2})^5=\dfrac{1}{4^{10}}

Step-by-step explanation:

The given expression is : (4^{-2})^5

We need to simplify the above expression.

We know that, x^{-a}=\dfrac{1}{x^a}

or

(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}

So, the simplified form of the given expression is \dfrac{1}{4^{10}}. Hence, the correct option is (A).

5 0
3 years ago
Read 2 more answers
10.1 and 10.15 witch one is greater
RUDIKE [14]

Answer:

10.15

Step-by-step explanation:

Subtract:

10.15 - 10.1 = 0.05

10.15 is greater than 10.1 by 0.05

~

6 0
3 years ago
Read 2 more answers
What is the value of x?
Molodets [167]

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                    19² + x² = 21²
  2. Isolate <em>x</em> term:               x² = 21² - 19²
  3. Evaluate:                       x² = 441 - 361
  4. Subtract:                       x² = 80
  5. Isolate <em>x</em>:                       x = √80
  6. Simplify:                        x = 4√5

And we have our final answer!

8 0
3 years ago
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
ohaa [14]
The answer would be d , because you have to add how many of each fish to equal up to the sum of 420 . which is x y . so the first equation is x + y = 420 . then it says he bought 6 times as many parrotfish as he did angelfish so you would have to multiply x which represents angelfish by 6 . to get the second equation of y = 6x .
5 0
3 years ago
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A clear box has the shape of a rectangular prism and is filled with sand. Find the volume if the box
Strike441 [17]

Answer:

24 m³

Step-by-step explanation:

Since you didn't state the dimensions of the rectangular prism, and you didn't add a picture to show it's dimensions, then permit me to assume dimensions for the question

Assuming it's breadth is 2 m.

Assuming it's length is 4 m.

Assuming it's height is 3 m

Then the volume of a rectangular prism is given as l * b * h. Which means we multiply all the sides by one another. From my assumption of values, we have that 2 * 3 * 4, and this gives us 24 m³

24 m

Now what you'd do is substitute your values for my assumed values.. Cheers

6 0
3 years ago
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