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Brut [27]
3 years ago
6

Can anyone help me with this calc question?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

0.7048

Step-by-step explanation:

Use trap rule on the calc

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7x = 58 - 9
7x = 49
X = 7
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A banana has 90 calories. This is 5 calories less than one seventh of calories in a banana spilt. How many calories in a banana
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Write an expression that is equivalent to 3/4(5z+16).
Sphinxa [80]
Answer: 3.75z+12
For an equivalent expression, lets simplify the equation.

3/4(5z+16)
multiply both '5z' and '16' by 3/4
3.75z+12
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Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?
vaieri [72.5K]
Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.

So,W is the midpoint of RSV is the midpoint of RTWe are given that:RV = 4x + 3 and VT = 2x + 9

Since V is the midpoint, then:RV = VT4x + 3 = 2x + 94x - 2x = 9 - 32x = 6x = 3

Now put the value of x in WS = 5x-1WS = 5x-1WS = 5(3) - 1 WS = 15 - 1 = 14WS = 14

Since W is the midpoint of RS, therefore RW = WSand WS = 14Therefore:
RW = 14
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3 years ago
Given: ABCD parallelogram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Troyanec [42]

Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

Hence, using the trigonometric ratios,

Cos A = adjacent/hypotenuse

Cos A = 3/6

Cos A = 0.5

Checking with the calculator, (that is second function of Cos 0.5)

A = 60

The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.

Therefore, angles in parallelogram ABCD is derived as;

A + B + C + D = 360

60 + B + 60 + D = 360

120 + B + D = 360

Subtract 120 from both sides of the equation

B + D = 240

Having known that angle B equals angle D, angles B and D is derived as each half of the value 240

Angle B = 240/2

Angle B = 120

and angle D = 120

Therefore, the angles are;

A = 60, B = 120, C = 60, D = 120

3 0
3 years ago
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