A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation
1 answer:
Answer:
The height of the parallelogram is 2.11 cm.
Step-by-step explanation:
Area of the parallelogram is equal to multiplication of base and height.
Given:
Parallelogram has base of 4.5 cm.
Are of the parallelogram is 9.495 cm².
Equation is 4.5x=9.495
Calculation:
(a)
Are of the parallelogram is the product of base length and height of the parallelogram.
Area of the parallelogram is expressed as follow:
A=lh
Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:
9.495=4.5h …… (1)
Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.
(b)
From equation (1), height of the parallelogram is calculated as follows:
9.495=4.5h
h=2.11 cm
Thus, the height of the parallelogram is 2.11 cm.
You might be interested in
<h2>Answer:</h2>
5896
<h2>Step-by-step explanation:</h2>Given data set:
6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
To calculate the 30th percentile;
<em>i. Rearrange the given data set in ascending order.</em>
5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
<em>ii. Use the following formula to get the index of the value at the 30th percentile.</em>
N = p(n)
<em>Where;</em>
N = the number of data points at or below the intended percentile.
p = the intended percentile.
n = the number of points in the data.
<em>In this case;</em>
p = 30 percent = 0.3
n = 14
<em>Substitute these values into the equation;</em>
N = 0.3(14)
N = 4.2
<em>iii. From the calculated index, find the value of the 30th percentile.</em>
If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.
For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;
= 5896
If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.
For example, in our case, the index is 4.2 which when rounded up becomes 4.
Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e
5581 5700 5700 <u>5896</u> 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
Answer:here's ur answer
Step-by-step explanation:
