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Elden [556K]
3 years ago
8

Simplify -4b + (-9k) -6 - 3b + 12

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

-7b-9k+6

Step-by-step explanation:

-4b+(-9k)-6-3b+12

(-4b-3b)+(-9k)+(-6+12)

-7b+(-9k)+6

-7b-9k+6

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Which statement is true
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Step-by-step explanation:

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Solve for x in the triangle.Round your answer to the nearest tenth.
enyata [817]

sin = opposite/hypotenuse

sin 40° = 12/x

Cross multiply.

0.64278760968x = 12

Divide both sides by sin 40°.

x = 18.7 (rounded to nearest tenth).

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 132 degrees. Find the value of x.
Lemur [1.5K]

Answer:

48°

Step-by-step explanation:

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6 0
2 years ago
A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

3 0
3 years ago
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