B. 57⁄90, rational
C. 63⁄90, rational
D. 63⁄99, rational
answer B
We assume x= 0.6333
100x = 63.3333
10x= 6.333 33 (subtract it )
----------------------------
90x = 57 ( divide by 90 on both sides)
So x=
Answer :
When we can write a number in fraction form then it is a rational number.
We converted the decimal number into a fraction so it is rational
The answer is B. 57/90, rational.
on Homework(Hours) Students
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8 1
B. a container with the dimensions 3 by 4 by 10 inches
C. a container with the dimensions 3 by 5 by 10 inches
D. a container with the dimensions 4 by 2 by 10 inches
PLEASE HELP!!
Option C
Container with the dimensions 3 by 5 by 10 inches has a volume of 150 cubic inches, which is large enough to hold a volume of 130 cubic inches
Solution:
Anusha needs to find a rectangular container large enough to hold a volume of 130 cubic inches
The volume of rectangular container is:
Option A
Container with the dimensions 2 by 5 by 10 inches
Therefore, volume is given as:
Thus volume is 100 cubic inches
Option B
Container with the dimensions 3 by 4 by 10 inches
Therefore, volume is given as:
Thus volume is 120 cubic inches
Option C
Container with the dimensions 3 by 5 by 10 inches
Therefore, volume is given as:
Thus volume is 150 cubic inches
Option D
Container with the dimensions 4 by 2 by 10 inches
Therefore, volume is given as:
Thus volume is 80 cubic inches
Thus Container with the dimensions 3 by 5 by 10 inches has a volume of 150 cubic inches, which is large enough to hold a volume of 130 cubic inches
Answer:C. a container with the dimensions by 5 by 10 inches
Answer:
The solution in the attached figure
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Part 1) Find the measure of angle A
we know that
------> by supplementary angles
so
Part 2) Find the measure of angle B
we know that
------> by vertical angles
Part 3) Find the measure of angle C
we know that
------> by vertical angles
so
Part 4) Find the measure of angle D
we know that
------> by corresponding angles
so
Part 5) Find the measure of angle E
we know that
------> by supplementary angles
so
Part 6) Find the measure of angle F
we know that
------> by vertical angles
so
Part 6) Find the measure of angle G
we know that
------> by vertical angles
so
The alternate interior angles to 137° are also 137°, the corresponding angles are 117°, and the supplementary angles are 43°.
The image shows a pair of parallel lines that are cut by a transversal. Since the parallel lines are cut by a transversal, we can use the following angle relationships:
Alternate interior angles are equal.
Corresponding angles are equal.
Supplementary angles add up to 180 degrees.
Label the given angle
The given angle is labeled 137°.
Label the alternate interior angles
The alternate interior angles to the given angle are also 137°. .
Therefore, we can label the following angles 137°:
The angle opposite the given angle
The angle to the right of the given angle, on the same side of the transversal
Label the corresponding angles
The corresponding angles to the given angle are equal to 117°.
Therefore, we can label the following angles 117°:
The angle above the given angle, on the same side of the transversal
The angle to the left of the given angle, on the opposite side of the transversal.
Label the supplementary angles
The supplementary angles to the 137° angles are equal to 43°.
Therefore, we can label the following angles 43°:
The angle above the 137° angle, on the opposite side of the transversal
The angle to the left of the 117° angle, on the same side of the transversal
Label the remaining angles
The remaining angles are equal to 53°.
Therefore, we can label the following angles 53°:
The angle to the right of the 117° angle, on the opposite side of the transversal
The angle below the 43° angle, on the same side of the transversal
The final image, with all of the angles labeled, is shown below:
For similar question on alternate interior angles.
#SPJ3
Answer:
The probability is 0.1 (or 10%)
Step-by-step explanation:
The probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
The favorable count is determined as follows: we are considering Green marbles. There are 7 of them in the box, so 7 possible picks at the first draw. Since you don't replace the pick, at the next drawing there are only 6 Green ones. So for each of the 7 possible first picks, there are 6 possible second picks: number of possibilities is 7 by 6 = 42.
The total number of possible drawings, irrespective of color is determined as follows: there are 21 marbles in total at first drawing, and 20 at second. So, for each first pick there are 20 possibilities, i.e., total number is 21 by 20 = 420
The probability is therefore:
P = 42 / 420 = 1 / 10 = 0.1 (or 10%)