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padilas [110]
3 years ago
11

Find the volume of the figure. 8 cm 4 cm 10 cm 14 cm

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer: 440 cm^3

Step-by-step explanati

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A bus traveled 150 mlles in 3 hours. At what average rate did the bus travel?
dezoksy [38]

50 Miles at an average rate

8 0
3 years ago
Please help me out with this ​
UNO [17]

Step-by-step explanation:

45+90+x=180

135+x=180

x=180-135

x=45

8 0
3 years ago
In arithmetic sequence the first term is 5 and the common difference is 4. Determine the 6th term of sequence
Harlamova29_29 [7]

Answer:

The 6th term of the sequence is 25

Step-by-step explanation:

first term = a = 5

common difference = d = 4

The nth term of a sequence is

T_n = a + (n - 1)d

Therefore, the 6th term of the sequence is

T_6 = a + (6 - 1)d

T_6 = a + 5d

T_6 = 5 + 5(4)

T_6 = 5 + 20

T_6 = 25

3 0
3 years ago
The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
ehidna [41]
1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

6 0
3 years ago
Suppose you Just purchased a used truck. The number of miles on the odometer can be represented by the equation y = x + 40, 000,
igor_vitrenko [27]

Answer: f(x)= x+40000

Step-by-step explanation:

We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".

Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.

Here y is dependent on x, so we replace y by f(x), then we get

f(x)= x+40000   which is the required answer.

8 0
3 years ago
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