Answer:
12/59
Step-by-step explanation:
-1/2x3/5÷(-59/40)
-3/10÷(-59/40)
-3/10*-(40/59)
120/590
12/59
The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Step-by-step explanation:
The percents here make this more tricky than it originally seems to be. We'll make a table and see where it takes us:
original new
length
width
And we'll fill it in according to our rules given. Starting with the original, we are told that the width is twice as long as the length. We don't know the length, so we'll call that L, and if the width is twice that, the width is 2L:
original new
length L
width 2L
Now here's the tricky part. What I'm going to do is fill in the "new" column with the expressions and then we'll simplify them in the next step.
The length is increased by 50%. So we have 100% of the original length and we are adding another 50% to that:
original new
length L 100%L + 50%L
width 2L
The width is decreased by 20%, so we have 100% of 2L and we are subtracting 20% of 2L from that:
original new
length L 100%L + 50%L
width 2L 100%(2L) - 20%(2L)
And now we'll simplify that "new" column:
original new
length L 150%L = 1.5L
width 2L 80%(2L) = 160%L = 1.6L
Now we're ready for the perimeter part. The formula for the perimeter of a rectangle is P = 2L + 2w, so filling in from our "new" column, since 248 is the perimeter given for AFTER the rectangle's length and width are manipulated:
248 = 2(1.5L) + 2(1.6L) and
248 = 3L + 3.2L and
248 = 6.2L so
L = 40 and that means that w = 80 (because in the "original" column, the width is twice the length)
Plz help me asap !!!
Answer:
all I know is sin square A +cos square A =1
first answer gets marked brainliest!!
QUESTION 2
In A XYZ, X = 18 cm, y = 14 cm, and z= 17 cm.
Determine the measure of Z to the nearest degree.
a. 66°
b. 63°
c. 57°
d. 60°
Answer:
B: 63
Step-by-step explanation:
What is the value of k?
k=____
Answer:
2
Step-by-step explanation:
is the value of k
Answer:
2
Step-by-step explanation:
Need help please need it quick
Answer:
Choice A
Step-by-step explanation:
An arithmetic sequence is one which has an incremental change.
for our answer, our change is +5
if a=(p+q),b=(p-q)and c=qsquare -psquare, show that ab+c=0
Answer:
I think this is the ans
Step-by-step explanation:
ab+c=0
(p+q)(p-q)=0
p Square-q Square =0
0=p Square-q Square
(3.1 x 10^10) X (4.6 x 10^4) divided by (9.4 x 10^-3)
(This is scientific notation)
Answer:
1.5×10^17
Step-by-step explanation:
it would be better to first multiply the two then divide the answer by 9.4×10^-3
I hope this helps
Which of the following lines is parallel to the line
y = 1/2x -6
Select one:
a) y=-1/2x-6
b) y=2x+1
c) y=-1/2x+5
d) y=1/2x-3
Answer:
y = 1/2x - 3 (option - d)
Step-by-step explanation:
The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).
Line y = 1/2 x - 6 has the slope m = 1/2
and the line in option 'd'
y = 1/2 x -3 has the slope m = 1/2
Slopes are equal and lines are parallel.
Thank-you.
#Muhib
What is the area of this triangle
Answer:
14
Step-by-step explanation:
7*4*1/2=14
solve x
solve x
solve x
Answer:
x = 25
Step-by-step explanation:
When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.
5x - 5 + 2x + 10 = 180
~Combine like terms
7x + 5 = 180
~Subtract 5 to both sides
7x = 175
~Divide 7 to both sides
x = 25
Best of Luck!
Answer: x = 25
Step-by-Step Explanation:
We are given a line, hence it is a straight angle being 180°
Therefore,
=> 5x - 5 + 2x + 10 = 180
= 5x - 5 + 2x = 180 - 10 = 170
= 5x + 2x = 170 + 5 = 175
= 7x = 175
=> x = 175/7 = 25
Therefore, x = 25
Additionally, finding the values of each angle :-
=> 5x - 5
= 5(25) - 5
= 125 - 5
=> 120°
=> 2x + 10
= 2(25) + 10
= 50 + 10
=> 60°
Therefore, one angle is 120° and the other is 60°
At Fireflies Kids Camp, 4 out of the 10 kids in the yellow cabin are taking swimming lessons. In the blue cabin, 5 out of the 15 kids are taking swimming lessons. Do both cabins have the same ratio of swimmers to total kids?
Answer:
Both cabins do not have the same ratio of swimmers to total kids.
Step-by-step explanation:
The ratio of swimmers to total kids in the yellow cabin is:
4 : 10
The ratio of swimmers to total kids in the blue cabin is:
5 : 15
4 : 10 and 5 : 15 are not equivalent ratios because:
LCM of 10 and 15 is 30
Multiply each term in a ratio by a number so that the second term is 30:
4 x 3 = 12
10 x 3 = 30
4 : 10 = 12 : 30
5 x 2 = 10
15 x 2 = 30
5 : 15 = 10 : 30
12 : 30 and 10 : 30 are NOT the same ratios.
Hope this helps!
The graph f(x) shown below has the same shape as the graph of g(x)=x^2 which of the following is the equation of f(x)
Answer:
Choice D. [tex]F(x)=x^2-4[/tex]
Step-by-step explanation:
Since the graph is translated down 4, it cannot be choice A. or C.Since the graph is concave up, choice B. is ruled out.Leaving choice D. the correct answer.Please help with question thank you
Answer:
The answer is 3x=50-10y
According to the synthetic division below, which of the following statements are true?
Answer:
Step-by-step explanation:
That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.
Help me to prove it
Answer:
see explanation
Step-by-step explanation:
Using the identities
cotA = [tex]\frac{1}{tanA}[/tex]
cot²A = cosec²A - 1
tan²A = sec²A - 1
Consider the left side
(cotA + tanA)² ← expand using FOIL
= cot²A + 2cotAtanA + tan²A
= cosec²A - 1 + 2 .[tex]\frac{1}{tanA}[/tex] . tanA + sec²A - 1
= cosec²A - 1 + 2 + sec²A - 1
= sec²A + cosec²A - 2 + 2
= sec²A + cosec²A
= right side, thus proven
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answer:
B
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{13}[/tex]
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
Then
cosA = sinC → B
the least common multiple of ½,⅓,⅘ and ³/¹⁰ is a)90 b)50 c)30 d)15 e)10
Answer:
Step-by-step explanation:
a parabola has x-intercepts at x = 1/2 and x=5. what is the equation of the parabola
Answer:
y = 2x²-11x +5
Step-by-step explanation:
We know that a polynomial of degree n with roots (x-intercepts) {x₁, x₂, ..., xₙ} and a leading coefficient A can be written as:
p(x) = A×(x - x₁)×...×(x - x₂)
Here we will find:
P(x) = (x - 1/2)×(x - 5)
Let's see how we found that:
Here we know that is a parabola, so n = 2, and the x-intercepts are:
x₁ = 1/2
x₂ = 5
And we do not know the leading coefficient, so we can assume A = 1.
Then the polynomial is just:
P(x) = (x - 1/2)×(x - 5)
The graph of this polynomial can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/24371640
Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
Marcus plans to spend $72 at a local clothing store that sells t-shirts for $8 each and jeans for $12 each, sales tax included. This scenario is modeled by 8x + 12y = 72, where X represents the number of t-shirts purchased and y represents the number of jeans purchased.
What point on the graph represents Marcus' purchase if it consisted of only t-shirts?
Option
A. The x intercept (9,0)
B. The y intercept (0,6)
C. The x intercept (6,0)
D. The y intercept of (0,9)
Answer:
a. the x intercept (9,0)
Options:
Rotation
Reflection
Translation
Answer: Reflection
Step-by-step explanation: Please mark brainliest
Whats the correct answer?
Answer:
Actually the answer is "A"
this is a very strange way to present a problem...
this issue her is that [tex](x^{a}) ^{b} = x^{a*b}[/tex]
so you need 1/3 * 3 in the answer... none of them have 1/3 * 3
BUT !!!!! 1/3 + 1/3 + 1/3 is the same as 1/3 * 3 So "A" is the solution
Step-by-step explanation:
Question 5.
Given that cos(O) = 4/5, find:
a) sin(0)
b) tan (0)
Step-by-step explanation:
here's the answer to your question
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
-9, -2, 5, 12,.........
The first term is the first number in the sequence
-9
[tex]\sf{ }[/tex]
The first first term in the following arithmetic sequence
-9, -2, 5, 12, .. is -9
What is 1/4 0.75 1/3 0.5 greatest to least
Answer:
1/4 = 1 ÷ 4 = 0.251/3 = 1 ÷ 3 ≈ 0.330.750.50.75 → 0.5 → 1/3(0.33) → 1/4(0.25)
Please hurry I will mark you brainliest
Answer:
12500
Step-by-step explanation:
11830 - 10464 = 1366 (difference 1995 to 96)
10464 - 8958 = 1506 (94 to 95)
8958 - 8135 = 823
8135 - 7537 = 598
7537 - 6642 = 895
6642 - 5942 = 700
5942 - 3579 = 2363 (5 years)
so, we have the annual differences over 11 years.
the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.
so, the mean value of growth over these 11 years is 750.
so, based on this we would estimate for 1997
11830 + 750 = 12580 (12500 being the closest answer option).
but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).
we could argue that the last 2 years had a totally different behavior than the years before.
so, just creating a mean value of the last 2 years' changes would be
(1366 + 1506) / 2 = 2872 / 2 = 1436.
now, or prediction would be
11830 + 1436 = 13266, which would be closer to the 13500 answer option.
You are filling a bookcase with books. The bookcase is 3 feet wide. Your hardcover books are 1 1/2 inches wide and your paperback books are 3⁄4 inches wide. If you have already placed 8 hardcover books on the shelf, what is the maximum number of paperback books you can also fit on the shelf?
Answer:
32 paperback books
Step-by-step explanation:
Given that :
Width of hardcover books = 1 1/2 inches
Width of paperback books = 3/4 inches
Number of hardcover books already on shelf = 8
Total width of shelf = 3 feets
1 foot = 12 inches
Hence, total shelf width in inches = (12 * 3) = 36 inches
Total width of hardcover books = (8 * 1 1/2) = 12 inches
Total shelf width left = (36 - 12) inches = 24 inches
Maximum number of paperback books :
Total shelf width left / paperback width
24 inches / (3/4)inches = 32 paperback books
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 3 cm
3 cm
Answer:
22/7×9×3=22×9×3=594÷7=84.85
Answer:
56.5 For Acellus Users
Step-by-step explanation:
Step 1. 2 x 3.14(pi) x radius(3) x height(3)
Step 2. Once added up should equal 56.5
Remember 2 x 3.14 x 3 x 3 = 56.5
3. A rectangle has a length of 2x – 9 and a width of x2 + 3x – 4. What is the polynomial that models the area
of the rectangle?
Answer:
(C) 2x^3 - 3x^2 - 35x + 36
Step-by-step explanation:
First multiply 2x by x^2 + 3x - 4:
(2x)(x^2 + 3x - 4)
2x^3 + 6x^2 - 8x
Next multiply -9 by x^2 + 3x - 4:
(-9)(x^2 + 3x - 4)
-9x^2 - 27x +36
Now add the two polynomials by adding like terms:
(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)
2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36
2x^3 - 3x^2 - 35x + 36
Hope this helps (●'◡'●)
