Since, a rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5
How to find the area of the rectangle?Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.
Let
L = length of rectangle, W = width of rectangle and D = length of diagonal = xGiven that the length of diagonal, x is twice as long as it is wide, we have that
L = 2W
Also, since it is rectangle, we have that
D² = L² + W²
D² = (2W)² + W²
D² = 4W² + W²
x² = 5W²
W² = x²/5
W = x/√5
W = x√5/5
Since the length of the rectangle, L = 2W, we have that
L = 2W
= 2x√5/5
The area of the rectangleThe area of the rectangle is given by A = LW where
L = length of rectangle and W = width of rectangleSo, A = LW
= 2x√5/5 × x√5/5
= 2x² × 5/25
= 2x²/5
So, the area of the rectangle is (B) 2x²/5
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Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x = 1 ; y = 3
Step-by-step explanation:
5(2x + 3y = 11)
2(5x + 3y + 14)
(distribute)
10x + 15y = 55
10x + 6y = 28
(subtract)
9y = 27
(divided 9 to both sides)
9 divided by 9 cancels out and 27 divided by 9 = 3
so..
y = 3
now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value
2x + 3y = 11
2x + 3(3) = 11
(multiply 3 x 3)
2x + 9 = 11
(subtract 9 from 9 and 11)
2x = 2
(divide 2 from both sides)
2 divided by 2 = 1
therefore...
x = 1
A ladder leaning against a vertical wall makes an angle of 35 with the ground. The foot of the ladder is 3 meters from the base of the wall What is the
length of the ladder to the nearest tenth?
Answer:
6.1
Step-by-step explanation:
SOH-CAH-TOA
cos35=5/x
x=5/cos35
x=6.1m
Tomas makes a photobook online and sends copies to 4 family members. There is a
$6 shipping charge for each photobook. He pays a total of $112.
6(g-3)=12 can someone show the working out ik the answer but i dont get the working out
Answer:
g = 5
Step-by-step explanation:
6(g-3)=12
6g-18 = 12
6g = 30
g = 5
Answer:
g = 5
Step-by-step explanation:
→ Expand the bracket
6g - 18 = 12
→ Add 18 to both sides to isolate 6g
6g = 30
→ Divide both sides by 6 to isolate g
g = 5
One of the legs of a right triangle measures 15 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
8
Step-by-step explanation:
The Pythagorean theorem shows us that the measure of the sides in a right triangle can be calculated using the formula a^2 + b^2 = c^2. Using this formula, and filling in the blank, we can conclude that the other leg measures 8 cm.
Answer:
15
Step-by-step explanation:
i- i just need help at this point...
Answer:
(2.8-3.5)/3.5=-.2 (100)=20%
Percent error is 20%
formula to fin percent error is ((approx-exact)/exact)(100)
Step-by-step explanation:
The diagram below shows how much
time John spends doing different
activities each day.
Eating
Homework
Family
John's Day 5% 5%
Time
Other
10% School
Sleeping
40%
5%
5%
10%
Sleeping
10%
30%
40%
+10%
School 30%
How many hours does
John sleep in a day?
F) 1.2
G)2.4
H)9.6
J) 7.2
Answer:H Is your answer
Step-by-step explanation:
What factoring method do you use to factor u²+70
1) difference of
squares
2) GCF
3) not foctorable
4) factor trinomial
Answer: 3) Not factorable
We cannot use the difference of squares method because we don't have a subtraction going on (ie "difference") and we don't have two perfect squares. The value 70 is not a perfect square.
We cannot factor out a GCF since the GCF here is 1, and that doesn't really affect things. Choice 4 is also not applicable because we don't have a trinomial. A trinomial has three terms.
A rectangular ground has the breadth 80percent of length and perimeter is 360m. Find the cost of planting the ground at Rs 8 per m^2
Answer:
Rs 64000
Step-by-step explanation:
Since breadth B = 80% of length L, B = 0.8L
Perimeter, P = 2(L + B) = 360m
Substituting B = 0.8L into P, we have
2(0.8L + L) = 360 m
2(1.8L) = 360 m
3.6L = 360 m
L = 360m/3.6
L = 100 m
So, B = 0.8L = 0.8(100 m) = 80 m
The area of the rectangular ground is A = LB = 100 m × 80 m = 8000 m²
So, the cost of planting the ground at Rs 8 per m² is Rs 8 per m² × 8000 m² = Rs 64000
In mathematics test Mary scored 27 of a possible 60. What amount wa her percentage score?
Answer:
45%!!
Step-by-step explanation:
Answer:
45%
Step-by-step explanation:
To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100
Solve 9x-17=5x-1
What is x?
Answer: x=4 hope this helps:)
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
9x-17=5x-1 isolate X
9x-17=5x-1 add +1 to each side of the equation 9x-17+1=5x-1+1 the ones cancels out... 9x-16=5x
add -9x to both sides..... 9x-16+9x=5x-9x...... 9x-9x-16=5x-9x
-16=5x-9x subtract 5x-9x
-16= - 4x divide both sides by -4
-4=x or x=-4
-
How many of the ways that 27 cents can be made using quarters, dimes, nickels, and pennies use an odd number of coins
I believe the answer is 13 ways to make 27 cents using Quarters, dimes, nickels, and pennies.
Step-by-step explanation:
The half-life of a certain radioactive substance is 14 days. There are 6.6 grams of the substance
present initially. Which equation represents the number of grams of the radioactive substance
on day 42?
Answer:
A(t) = 0.825 g
Step-by-step explanation:
To solve this for amount remaining, we will use the equation;
A(t) = A_o × (½)^(t/t_½)
We are given;
Initial amount; A_o = 6.6 g
Half life; t_½ = 14
Time elapsed; t = 42
A(t) is amount of substance remaining
Thus;
A(t) = 6.6 × (1/2)^(42/14)
A(t) = 6.6 × (1/2)³
A(t) = 6.6 × ⅛
A(t) = 0.825 g
help please .
plelase
Answer:
4. 110 slices
5. B.12.8 mi
Step-by-step explanation:
For question for you divide the number of slices, 176, by the number of loafs, 8. this give give you a total of 22. you then take 22 and multiple if by 5, leaving your answer to 110 slices of bread.
For question 5, you multiple 8 kilometers by 1.6 kilometers, which is 12.8 miles.
I hope this helps :))
Find the equation of the line.
Use exact numbers
Answer:
[tex]y=-\frac{1}{3} x+5[/tex]
Step-by-step explanation:
This question is asking for slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. First, find the slope; this can be done in two ways, counting change in y and x then dividing, or using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Either way for this graph the slope comes out as -1/3. Next, find the y-intercept, this is where the line intersects with the y-axis. In this case, the line touches the axis at 5, therefore 5 is the value of b.
3x - 5 = 1/2x + 2x solve the equation and please show your work im confused x =___
dont look it up
Answer:
X=2.5
Step-by-step explanation:
3x - 5 = 1/2x + 2x
3x - 1/2x - 2x = 5
1/2x = 5
X = 5 ÷ 1/2
X = 2.5
Anne-Marie watched television from
5:45pm until 7:20pm.
How long did she spend watching
television?
Answer:
1 hour and 35 minutes if this is correct then your welcome
Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $53.98. What percent tip did they give? (Round to the nearest percent).
**Due soon, pls help!**
Michael is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 6%, what is the sale price of the Jeans
including tax?
Answer:
The jeans will cost 33.92
Step-by-step explanation:
20% of 40 is 8, and 40 - 8 is 32.
6% of 32 is 1.92 and 32 + 1.92 is 33.92
I was confused over this particular question. if you could help, I'd really appreciate it.
Step-by-step explanation:
The 1st equation is in slope-intercept form.
=> Slope = 4
The 2nd equation is in point-slope form.
=> Slope = -1/4
Since their slopes are unequal,
The lines are not parallel to each other.
However the product of their slopes is -1,
Therefore the lines are perpendicular to each other.
The answer is the 2nd option.
A notebook is $3 more expensive than a
pen.
three notebook and four pens cost $44.
How much does one notebook cost?
How much does one pen cost?
Step-by-step explanation:
4 for a pen
7 for 1 note book
Help me people I need it
will give brainliest :)
does force change in position
yes
no. or
it depends
Answer:
no but they can change in speed
Answer:
it depends
Step-by-step explanation
when there is a force its moving from some kind of energy ex: gravity
so when its faced with different energy it could change in position
What is the perimeter of the triangle?
units
Stuck? Watch a video or use a hint.
Report
subtract 24ab-10b-18a from 30ab+12b+4a
Answer:
-6ab-22a-22b
Step-by-step explanation:
What is the solution set for 10x < 30
factor 3v+12w
write your answer as a product with a whole number greater than 1.
Answer:
3 (v+4w)
Step-by-step explanation:
you could factor out 3 which is a whole number greater than 1.
i hope this help!
Dan earns £360 over the course of a five-day week. How much is that per day?
Answer:
£72
Step-by-step explanation:
£360/5= £72
Another ASAP
Please don't put a wrong answer, if so your answer will be deleted. Thank you for your time!
Answer:
y=6
Step-by-step explanation:
y=4x-2
y=4(2)-2
y=8-2
y=6
Hope it helped!
Please help:In our amusement park that we built this week, the ride Diablo's
Domain had revenue of $250,000,000 in its first year as expected.
The company paid $750,000 for insurance or $3 for every $1,000
in revenue. If the park is wildly successful and revenue increases by
25% in the second year and the rate of $3 for every $1,000 holds
true, how much would it pay for insurance? Do you think it's
reasonable for insurance costs to increase proportionally? Why or
why not?
This question has already been answered (don't forget to view my comment!)
https://brainly.com/question/21107962