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Rasek [7]
3 years ago
10

Instructions:Select the correct answer.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0
The proper answer for that is <span>278.842</span>
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Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
2 years ago
On Thursday, 13,450 people attended a baseball game. Only 11,350 people attended the game. Only 11,350 people attended the game
mariarad [96]
First 0-0=0
Next 5-5=0
Then 4-3=1
After 3-1=2
Then 1-1=0
Move comma after 2
3 0
2 years ago
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x
rosijanka [135]

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

7 0
3 years ago
(-5, 3), (-1, 0), (3, -4), (-1, 2) pls find domain range and function
Nonamiya [84]

Answer:

Domain: {-5,-1,3} and Range: {3,0,-4,2}

Step-by-step explanation:

Just take my word for it please.

4 0
3 years ago
To the nearest tenth, what is the area of a circle whose diameter is 9 feet?
FromTheMoon [43]
63.6 is the answer I got.
5 0
3 years ago
Read 2 more answers
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