Answer:
4 2/7 - 6/7 = 24/
7
= 3 3/
7
Step-by-step explanation:
Conversion a mixed number 4 2/
7
to a improper fraction: 4 2/7 = 4 2/
7
= 4 · 7 + 2/
7
= 28 + 2/
7
= 30/
7
To find a new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30
c) Write a previous answer (new numerator 30) over the denominator 7.
Four and two sevenths is thirty sevenths
Subtract: 30/
7
- 6/
7
= 30 - 6/
7
= 24/
7
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty sevenths minus six sevenths = twenty-four sevenths.
Answer:
40
Step-by-step explanation:
angles QPR and RPS are complimentary, so they equal 90, or angle QPS, so you can set up the equations like so:
7x - 9 + 4x + 22 = 90
Combine like terms:
11x + 13 = 90
Subtract 13 from each side:
11x = 77
Divide each side by 11:
x=7
Then use this value in the angle that you are finding:
7(7) - 9
49 - 9
40
40 is your answer
Hope this helps!
f(x) = 3x² + 2
3x² + 2 = 0
3x² = -2
3² + 2 = -2/3
F (-2/3) = 3 (-2/3) cross out the three + 2
= -2 + 2 = 0
Hope this helps a bit...
Answer:
sin A = 3/5
cos A = 4/5
tan A = 3/4
Step-by-step explanation:
Using the trigonometric ratios;
SOH CAH TOA
Sin A = opposite/hypotenuse
cos A = adjacent/hypotenuse
tan A = opposite / adjacent
From the diagram given;
opposite = 3 adjacent =4
We can find the value of the hypotenuse by using the Pythagoras theorem
opposite² + adjacent² = hypotenuse²
3² + 4² =hypotenuse²
9 + 16 =hypotenuse²
25 = hypotenuse²
take the square root of both-side
√25 = √hypotenuse²
5 = hypotenuse
hypotenuse = 5
sin A = opposite / hypotenuse
sin A = 3/5
cos A = adjacent/hypotenuse
cos A = 4/5
Tan A = opposite /adjacent
tan A = 3/4
From the given Venn diagram, the value of M∩N={4,7}.
<h3>What is a Venn diagram?</h3>
A Venn diagram is a prominent diagram type that depicts the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used to teach elementary set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. To depict sets, a Venn diagram uses basic closed curves drawn on a plane. These curves are almost often circles or ellipses.
Before Venn, similar concepts had been presented. Similar ideas were proposed by Christian Weise in 1712 and Leonhard Euler (Letters to a German Princess) in 1768. Venn popularized the concept in Symbolic Logic, Chapter V "Diagrammatic Representation," 1881.
The intersection of two sets is the set of all the elements that are shared by both.
M={4,7,9,3}
N={4,7,6}
Because M and N share the numbers 4 and 7, M∩N={4,7}.
To know more about Venn diagram, visit:
brainly.com/question/29301560
#SPJ9
