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Jet001 [13]
3 years ago
9

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Triangle IJK is a right angle triangle.

From the given right angle triangle

JK represents the hypotenuse of the right angle triangle.

With ∠K as the reference angle,

IK represents the adjacent side of the right angle triangle.

IJ represents the opposite side of the right angle triangle.

To determine Cos K, we would apply trigonometric ratio

Cos θ = adjacent side/hypotenuse. Therefore,

Cos K = 36/85

Cos K = 0.4235

Rounding up to the nearest hundredth,

Cos K = 0.42

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1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?
gayaneshka [121]

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

7 0
2 years ago
What is the value of z in the equation 4(2z + 3) = 12?<br><br> −13<br> 12<br> 0<br> 12
Tomtit [17]

Answer:

0

Step-by-step explanation:

8z +12 = 12

8z = 0

z =0

4 0
1 year ago
Jason plotted the points (4,4) and (-4,-4) on a coordinate plane. He says that the distance between the two points is 8 units be
Nataly_w [17]
The distance between two points is calculated through the equation,
                                 d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values from the given above,
                                d = √(4 - -4)² + (4 - -4)²
                                  d = 8√2 = 11.31
The distance between the points is approximately equal to 11.31. The value that Jason presented is not the real distance because it does not account for the other set of coordinates. 
8 0
3 years ago
Why is it preferable to measure a penny in millimeters?
White raven [17]
When measuring a penny, using the millimeter measurement would be more accurate then using inches or centimeters.
5 0
3 years ago
Solve the problem.When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening
Alex Ar [27]

The table and the plotted data are in the attachment.

Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.

To use the method, follow the steps:

1) Calculate the mean of the two variables:

X = \frac{\Sigma x_{i}}{n}

Y=\frac{\Sigma y_{i}}{n}

2) The Slope of the line is given by:

m=\frac{\Sigma (x_{i}-X)(y_{i}-Y)}{\Sigma (x_{i}-X)^{2}}

3) The y-intercept is found by the formula:

b=Y-mX

For the ripening of bananas, the least square method gives the line:

y = -0.142x + 5.56

The rate of change of a line equation is its slope, so

Rate of change = -0.14

The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.

Download pdf
7 0
2 years ago
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