Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
Graph the equation y = 4x − 5 using slope and y−intercept.
on a graph
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
Pls help me I need this done . Look at picture . What is the measure of..
The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
30% of what number is 7.5??
Answer:
x = 25
Step-by-step explanation:
the question can be given as x * .3 = 7.5, or rearanged into
7.5/0.3 = x
75/3 = x if you multiple the fraction by 10/10
x = 25 in this case
help with my khan academy assignment please
In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now
Answer:
Total students = 460+320+165=945
Key stage 3 ... asafraction = 460 divide by 945
the number in a sample of 100 = 460 divide by 945 x 100= 48.67
So 48 or 49 (are both, acceptable answers).
what problem can be solved using 3/5 divided by 5/8
Answer: 24/25
Step-by-step explanation:
= 3/5 ÷ 5/8
= 3/5 × 8/5
= 24/25
The perimeter of triangle ABC is 36 cm. Its sides are proportional to the numbers 3, 4 and 5. Find the sides of the triangle.
Answer:
3x+4x+5x=36
12x=36
x=36/12
x=3
3x=3 into 3=9
4x=4 into 3=12
5x=5 into 3=15
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Could 85, 13 and 84 be the side length of a right triangle?
Answer:
No because the side lengths won't equal the hypotenuse
Step-by-step explanation:
85^2 + 13^2 ≠ 84^2
Micki bought 4 gallons of apple cider. How many quarts did she buy?
Answer:
16
Step-by-step explanation:
There are four quarts in a gallon. 4x4=16.
Answer:
4 quarts per gallon
4 quarts times 4 gallons= 16 quarts
Brainliest for the correct answers
Answer:
a) 3a + 8b = 93
Hope this helps!
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours
a
2.1 cm
2.9 cm
Find the value of a.
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
What does S in Math means?
Step-by-step explanation:
subtract
i think this
Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram. Which is closest to the length of the walkway?
Answer:
your answer will be Option B. 28.3 ft
Step-by-step explanation:
[tex] \sqrt{15 ^{2} } + 24 ^{2} = 28.3[/tex] or
hope it helps you...
have a great day!!
The 28.3 ft is closest to the length of the walkway. the answer will be Option B. 28.3 ft
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
It is given that Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram.
We need to find the length of the walkway.
Using Pythagoras Theorem;
[tex]15^2 + 24^2 = x^{2} \\\\x^{2} = 225 + 576\\\\x^{2} = 801\\\\x = \sqrt{801} \\\\x = 28.30[/tex]
Therefore, 28.3 ft is closest to the length of the walkway. answer will be Option B. 28.3 ft
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?
Answer:
12
Step-by-step explanation:
5+4+3 = 12
Answer:
12 is the total outcome.......
Step-by-step explanation:
3+4+5=12 is the ans.....
hope this will help u.....
find the area of the composite figure 12 yd height 10 yd base
Answer:
120 yd^2
Step-by-step explanation:
1. 12x10= 120
2. 120 yd ^2
Please Help! Evaluate this expression 10.82-9.99
A. 0.53
B. 0.83
C. 1.01
D. 1.23
1
Identify the shape and find the area. (Round your answer to the tenths place if needed)
10
Shape
Perimeter = 17
Apothem = 4.2
Area =
NEXT
Answer:
Pentagon and I think the area is 19.89 so if you round it, that will be 19.9
100 points! Please help! If the total perimeter of the triangle is 5x 3+ 4x 2− x – 3, what is the length of the third side of the triangle? (This will require subtraction) Please show steps
Answer:
What is the length of the third side of the triangle? The Answer Is -9
Step-by-step explanation:
Always use your calculator and type in your equation " 5 x 3 + 4x 2− x – 3" i think this helped but i have no idea good luck though
The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?
Answer:
Area covered by beam = 530 mi² (Approx.)
Step-by-step explanation:
Given:
Radius = 15 mi
Arc angle = 270°
Find:
Area covered by beam
Computation:
Area of sector = [θ/360][π][r²]
Area covered by beam = [270/360][22/7][15²]
Area covered by beam = [0.75][3.1428][225]
Area covered by beam = 530 mi² (Approx.)
-18x+2x-15x+23x-12x-4x
Combine like terms
Answer:
-24x
Step-by-step explanation:
Combining them all leads you to get -24x.
Calculate the simple interest collected by the bank if $1,500 is loaned for 3 years at 8% per annum
Answer:
$1500 divided by3=500
500+8=508
Answer:
$360
Step-by-step explanation:
I=PTR =1500X3X8 = 36,000= $360
100 100 100
Solve by elimination
-2x+5y=-1
3x+2y=11
Answer:
x=3, y=1
Point Form is
(3,1)
Step-by-step explanation:
Please help fast! will mark brainliest and give a lot of points
put the following expressions into words-no solving.
3/4x(6+4)
1/2x(5-3 1/2)
Put the following into expressions-no solving
One-third the sum of 6 and 3
Four times the quotient of 3 and 4
One fourth the difference between 3 1/2 and 1/2
Answer:
Please help fast! will mark brainliest and give a lot of points
will give brainliest! question in pic! help asapp!
Answer: D
Step-by-step explanation:
Answer:
[tex]6x^{2}+10x-12[/tex]
Step-by-step explanation:
what is 1257÷45 I really need help
Exact Form:
419/15
Decimal Form:
27.93...
Mixed Number Form:
27 14/15
Hope this helps(:
One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd