The product of 22.12 and 0.6 is indeed 13.272.
To compute the product of 22.12 and 0.6, we can perform the multiplication using the standard algorithm for decimal multiplication.
Multiply the decimal part (the digits after the decimal point) first.
0.12 x 0.6 = 0.072 (Multiply 12 by 6, which gives 72, and then move the decimal point two places to the left.)
Multiply the whole numbers.
22 x 0.6 = 13.2 (Multiply 22 by 6, which gives 132, and then move the decimal point one place to the left.)
Add the results from Step 1 and Step 2.
0.072 + 13.2 = 13.272
Therefore, when multiplying 22.12 by 0.6, the result is 13.272.
To verify the calculation, we can check by using estimation. 22.12 is approximately 22 and 0.6 is approximately 0.6. Multiplying 22 by 0.6 gives 13.2, which is close to our calculated result of 13.272. This further confirms that our multiplication is correct.
Hence, the product of 22.12 and 0.6 is indeed 13.272.
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If a conditional statement and its converse are both true, the statement is said to be biconditional. Which of this statements is biconditional? Explain.
a) If two angles are congruent, then they have the same measure.
b) If two angles are straight angles, then they are congruent.
The correct option is (a) "If two angles are congruent, then they have the same measure".If a conditional statement and its converse are both true, the statement is said to be biconditional. The biconditional statement is one that can be written in the form “p if and only if q” which means that it is only true when both p and q are true.
The biconditional statement of the given options is "If two angles are congruent, then they have the same measure".
Option a) If two angles are congruent, then they have the same measure is a biconditional statement. This statement is a biconditional because it is true for both its converse and inverse.
If two angles are congruent, they have the same measure and if two angles have the same measure, they are congruent. This statement is true in both directions.
It can be written as:Two angles are congruent if and only if they have the same measure.Therefore, the correct option is (a) "If two angles are congruent, then they have the same measure".
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What is the area of a right triangle with a height of six and one fourth yards and a base of 22 yards?
34 yds2
sixty eight and three fourths yds2
132 yds2
one hundred thirty seven and one half yds2
Answer:
68.75 square yards (rounded to the nearest hundredth).
Step-by-step explanation:
To find the area of a right triangle, we can use the formula:
Area = (1/2) * base * height
Given the height of 6 and one fourth yards (6 1/4) and a base of 22 yards, we can calculate the area as follows:
Area = (1/2) * 22 * (6 1/4)
To simplify the calculation, we can convert the mixed fraction 6 1/4 to an improper fraction:
6 1/4 = (4 * 6 + 1) / 4 = 25 / 4
Now we can substitute the values into the area formula:
Area = (1/2) * 22 * (25/4)
Next, we can simplify the expression by multiplying the numbers:
Area = (11/1) * (25/4)
Multiplying the numerators and denominators:
Area = (11 * 25) / (1 * 4)
= 275 / 4
To convert the fraction to a mixed number, we can divide the numerator by the denominator:
275 ÷ 4 = 68 remainder 3
Therefore, the area of the right triangle is:
Area = 68 3/4 square yards or 68.75 square yards (rounded to the nearest hundredth).
Among the options provided, the closest match is "sixty-eight and three fourths yds2".
Answer:
68.75 square yards
Step-by-step explanation:
for a data set of 98,67,100,88,90, the range is
Answer:33
Step-by-step explanation:Range=maximum minus minimum in data set
100 - 67 = 33
Answer:
33
Step-by-step explanation:
67, 88, 90, 98, 100 is the set in order from least to greatest.
Range is the largest number (100) minus the smallest number (67).
100 - 67= 33.
Thus, your answer is 33.
Find the x- and y-intercepts of the graph.
Answer:
see explanation
Step-by-step explanation:
the x- intercepts are the values of x where the graph crosses the x- axis
these occur at x = - 2 and x = 2
then x- intercepts are x = - 2 , x = 2
the y- intercept is the value of y where the graph crosses the y- axis
this occurs at y = 4
then y- intercept is 4
x intercept of a graph is the point(s) of the graph that intersects x-axis , y intercept of a graph is the point(s) of the graph that intersects y-axis .
x and y intersepts vary from graph to graph , a graph may have various x and y intersepts , a graph may have one x and y intersepts , or may don't have none of them , or may have only one of the intersepts
_______________________
In this graph
there are two x intersepts and one y intersept
x intersepts :
( 2 , 0 )
( -2 , 0 )
y intersept :
( 0 , 4 )
Find the area, i have a lot of problems finding the area in general. and i spent a lot of time trying to figure this out?
The total area of the composite figure is 51.5 square yards
Calculating the area of the figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The total area of the composite figure is the sum of the individual shapes
So, we have
Surface area = 9 * 2 + 2 * 3 + 1/2 * (3 + 8) * 5
Evaluate
Surface area = 51.5
Hence. the total area of the figure is 51.5 square yards
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