MATHEMATICS COLLEGE

The measures of the angles of a triangle are shown in the figure below. Solve for x.49
62
x
The measures of the angles of a triangle are shown - 1

Answers

Answer 1
Answer: Angles will add up to 180.
49+62+x=180
111+x=180
subtract 111 both sides
x= 69°

Hope this helps!

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Simplify the expression by removing symbols of grouping and combining like terms.3(r − 4s) − 5(3r − 5s)

Answers

Step-by-step explanation:

the answer is -12r+13s

if u need the explanation I gotchuu just lemme know or need work shown

hope it helps<33

What statement best describes a trapezoid? *1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

H=10 cm
r= 7cm
calculate the volume of the cylinder ​

Answers

Answer:

V = 1538.6 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h  where r is the radius and h is the height

V = pi (7)^2 10

V = 3.14 (49)10

V = 1538.6 cm^3

Answer:

≈ 1539.3804

Step-by-step explanation:

V= πr²h =π*7²*10

An attacker at the base of a castle wall 4 m high throws a rock straight up with speed 7.5 m/s from a height of 1.5 mabove the ground.
(a) Will the rock exceed the top of the wall?
(b) If so, what is its speed when it reaches the top of the wall?
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(c) If we don’t want the stone to exceed the top of the wall (we want the top of the wall to be the maximum height)
what the initial speed that the stone must have?

Answers

Answer:

a) Yes, b)v\approx 2.686\,(m)/(s), c)v_(o) \approx 7.002\,(m)/(s)

Step-by-step explanation:

a) The maximum height reached by the rock is:

\Delta y = (\left(0\,(m)/(s) \right)^(2)-\left(7.5\,(m)/(s) \right)^(2))/(2\cdot \left(-9.807\,(m)/(s^(2)) \right))

\Delta y = 2.868\,m

y = 1.5\,m + 2.868\,m

y = 4.368\,m

Yes, the rock will exceed the top of the wall.

b) The speed when the rock reaches the top of the wall:

v = \sqrt{\left(7.5\,(m)/(s) \right)^(2)+2\cdot \left(-9.807\,(m)/(s^(2)) \right)\cdot (4\,m-1.5\,m)}

v\approx 2.686\,(m)/(s)

c) The initial speed required so that stone does not exceed the top of the wall is:

v_(o) = \sqrt{\left(0\,(m)/(s) \right)^(2)-2\cdot \left(-9.807\,(m)/(s^(2)) \right)\cdot (4\,m-1.5\,m) }

v_(o) \approx 7.002\,(m)/(s)

Sergio bought 1.2 pounds of turkey breast at the deli counter. He paid $8.34 for theturkey. What price per pound did he pay?

Answers

Answer:

.1438848921

Step-by-step explanation:

you divide 1.2 by 8.34 then multiply it by 8.34 to check
6.95 because you divide 8.34 by 1.2

Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.

Answers

Answer:

A) 2

Step-by-step explanation:

(0,3) and (2,7)

Use slope formula

(7-3)/(2-0) = 4/2 = 2

Answer:

A) 2

Step-by-step explanation:
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