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Leno4ka [110]
3 years ago
7

Find the length of side b in the right triangle below use the calculator to estimate the square root to one decimal place.

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0

Answer:

<h2>b = 16.7</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side b

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

Substituting the values into the above formula we have

<h3>{19}^{2}  =  {9}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {19}^{2}   -   {9}^{2}  \\  {b} =  \sqrt{ {19}^{2}   -   {9}^{2} }  \\ b =  \sqrt{361  -  81}  \\ b =  \sqrt{280}  \\ \:  \:  \:  \:  \:  \:  b = 2 \sqrt{70}  \:  \:  \:  \:  \:  \:  \\ \:  \:  \:  \:  \:  \:  \:  b = 16.73320</h3>

We have the final answer as

<h3>b = 16.7 to one decimal place</h3>

Hope this helps you

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Can someone help me figure out the answer?
Marina86 [1]

Answer:

f(t) = 5×0.87^t

Step-by-step explanation:

The general form for an exponential function described in this fashion is ...

... f(t) = (starting value) × (1 + (percent change))^t

Here, the "percent change" is -13%, or -0.13.

Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...

... f(t) = 5 × 0.87^t

3 0
3 years ago
I REALLY NEED THIS SOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPER BADLY
VLD [36.1K]

Answer:

8.4 * 10^6

Step-by-step explanation:

8.4 * 10^6

1 million = 1 * 10^6

8 million 4 hundred thousand is 8.4 * 10^4 because this number is 8.4 times bigger than a million.

6 0
3 years ago
15 roses cost 33.75 how much will 27 roses cost​
luda_lava [24]

Answer:

60.75

Step-by-step explanation:

First, you need to see how much one rose costs.

33.75/15 is 2.25

Next, you need to find out how many 27 roses costs.

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Hope this helps and is right!

5 0
3 years ago
6 - 2x = 6x - 10x + 4
yarga [219]

6 - 2x = 6x - 10x + 4

6 - 2x =  - 4x + 4

6 =  - 4x + 4 + 2x

6 =  - 2x + 4

- 2x + 4 = 6

- 2x = 6 - 4

- 2x = 2

x =  \frac{ \:  \:  \: 2}{ - 2}

x =  - 1

Therefore , the value of x = -1

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3 years ago
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the
Rama09 [41]

Complete question :

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.

Answer:

17

Step-by-step explanation:

From Pythagoras :

Hypotenus = sqrt(opposite² + adjacent²)

From the diagram

l = sqrt((l-9)² + 15²)

l² = (l² - 18x + 81 + 225)

Square both sides

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18l = 306

l = 306/18

l = 17

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3 years ago
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