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Hunter-Best [27]
3 years ago
10

Look at the image.

Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0

ans:39

Tap on the photo

first prove triangle BHC similar to FDC.Reason(AA)

then,provrSBH and GBH congruent(SAS)

CB=CG

CBG is an isolesis triangle

angle G and CBG is X

angle BCG=180-90-12=180-78=102

X=(108-102)/2=39

ExtremeBDS [4]3 years ago
6 0

Answer:39°

Step-by-step explanation:

If you know some properties of circle you may solve it like this:

Since ∠CDF = 90°, FC is the diameter of the circle passing through C, D and F.

So B is the centre of the circle mentioned above as B is the mid-point of FC.

Then we have BF = BC = BD since they are all radii of the same circle.

∠BDF = ∠BFD = 12°

∠BDA = 90° + 12° = 102°

∠BDA + ∠BAD + ∠ABD = 180°

102° + x + x = 180°

x = (180° - 102°)/2 = 39°

To issacchoy1234: Nvm if you don't understand, this will be taught in 2nd term of S4 ;)

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crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is r=10\%

Future value is given by s=1000e^{0.1t}

For the investment to double itself, i.e. s=2000

\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}

It takes around 6.93 years to double the investment.

8 0
2 years ago
The high school graduating class of 2010 was 260 people. Five years later the high school graduating class was 320 people. By ap
jeka94

Answer:

The high school graduating class changed by approximately 23%

Step-by-step explanation:

we have

The high school graduating class of 2010 was 260 people

Five years later the high school graduating class was 320 people.

we know that

260 people represent the 100%

so

The difference is (320-260)=60 people

using proportion

Find out what percentage represent 60 people

Let

x ----> the percentage that represent 60 people

\frac{260}{100\%}=\frac{60}{x}\\\\x= 100\%(60)/260\\\\x=23.1\%

therefore

The high school graduating class changed by approximately 23%

3 0
3 years ago
How do you do this please help me
aleksandr82 [10.1K]
Use PEMDAS

first 36-4 = 32
7^2 = 49
(32/16) - 49 is your answer -47
7 0
3 years ago
f(x) = 32g(x) = V48xFind (f.g)(x). Assume x20.O A. (f.g)(x) = 72.O B. (f.g)(x) = V51xO c. (f.g)(x) = 12/xO D. (fºg)(x) = 12xSUBM
QveST [7]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = √3x

g(x) = √48x

(f . g)(x) = ?

Step 02:

(f . g)(x) :

\text{          (f.g)(x) = }\sqrt[]{3(\sqrt[]{48x)}}(f.g)(x)\text{ = }\sqrt[]{3(48x)^{\frac{1}{2}}}\text{ }

(f.g)(x) = 12 √ x

The answer is:

(f.g)(x) = 12 √ x

3 0
1 year ago
Evaluate 5/8-(1/4)2=
ValentinkaMS [17]

Answer:

0.125

Step-by-step explanation:

(5 divided by 8) - ((1 divided by 4) x 2) = 0.125

3 0
3 years ago
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