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Karo-lina-s [1.5K]
3 years ago
14

Can someone help me please

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:

38 degrees

Step-by-step explanation:

just know

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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
20 thousandths = ? Hundredths
Korolek [52]
20 thousands would be 200 hundreds 
5 0
3 years ago
Read 2 more answers
Will mark brainliest to whoever answers correctly first!!!
IgorLugansk [536]
To find the volume, you do area multiplied by thickness( or height)
In this example, you do (1/2*9*6)*10 which is 270
hope I helped ;)
7 0
3 years ago
HELP!!!!!!!!!! WILL GIVE BRAINLY!!!!!!!
atroni [7]

Answer:

141in^{2}

Step-by-step explanation:

Area of a trapezium = \frac{h}{2}(a + b)

h = height

a and b = upper and and lower lengths

Area of a trapezium = \frac{9}{2}(10 + 16)

 =  \frac{9}{2} × 26

 = 117in^{2}

Area of a triangle = \frac{1}{2} × base × height

 = \frac{1}{2} × 6 × 8

 =  \frac{1}{2} × 48

 = 24in^{2}

Total area = Sum of the areas of both the shapes

 = 117 + 24

 = 141in^{2}

5 0
3 years ago
Find the value of x. Round your answer to the nearest tenth.
skad [1K]

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

tan (/theta) = \frac{Opp}{Adj}

Plug in the values

tan 68 = \frac{24}{x}

Multiply both sides by x

x*tan 68 = 24

Divide both sides by tan 68

x = \frac{24}{tan 68}

x = 9.69662942

x = 9.7 (nearest tenth)

8 0
3 years ago
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