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sergiy2304 [10]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
joja [24]3 years ago
3 0

Answer:

x=45

Step-by-step explanation:

The angles are supplementary

45+3x=180

-45

3x=135

divide by 3

x=45

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Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.
Svet_ta [14]
S=[h(2h/tanθ+w+w)]/2
6 0
3 years ago
Find the circumference of each circle
cestrela7 [59]

Step-by-step explanation:

Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the circle

And then for diameter you have to Multiply the diameter by π, or 3.14. The result is the circle's circumference.

8 0
3 years ago
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
Question 3<br> BESED<br> what is the slope?<br> (-7,-4) (-14, 3)
Nadya [2.5K]

Slope= (Y2-Y1)/(X2-X1)

Slope=(3-(-4) ) /(-14-(-7) )

Slope= (3+4)/(-14+7)

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6 0
3 years ago
PLEASE ANSWER ASAP,
sergeinik [125]
The answer is (B)!!!!!!!!!!!!!!!!!!!!!!!!
4 0
3 years ago
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