A large rectangle is made by joining three identical small rectangles as shown.
The perimeter of one small rectangle is 21cm. The width of one small rectangle is x cm.
Work out the perimeter of the large rectangle. The final line of your answer should be the form, perimeter of large rectangle is ...cm
Answers
Answer: 35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
Step-by-step explanation:
Related Questions
Hallp!! will give brainliest.
2.) Use what you know about similarity in right triangles to solve this problem.
Given the area of a triangle is ½ bh, find the area of triangles ABC, BDC and DCA. The picture of the question is right below! thank you.
Answers
Answer:
ABC 2.44
BDC 1.22
DCA 1.22
Step-by-step explanation:
area of a triangle=bh1/2
to find height, use pythagorean theorem a^2 + b^2 =c^2
for ABC, height (1.95) times base(2.5) divided by 2
ABC is bisected so DCA and BDC are congruent, meaning once you've found the area of one of those triangles, you have found both areas.
Cut 2.5 in half to find the base of BDC/DCA.
base (1.25) times height (1.95) = 1.22
Answer:
ABC 2.44
BDC 1.22
DCA 1.22
Step-by-step explanation:
Question 4 (Essay Worth 10 points) (07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function xx) = (1.04)X-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answers
Answer:
is it g(x) = 350(1.04)x − 1
or is it this- > g(x) = 350[(1.04)x − 1]
Step-by-step explanation:
well 350 is the initial quantity and we can write the expression like this- g(x)=350(1+0.4)x−1 so here g(x) is the amount received after x years 350 is the original amount 0.4 corresponds to rate of increment
Draw a scaled copy of the circle
using a scale factor of 2.
How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?
Answers
Answer:
the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps
Step-by-step explanation:
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the radius of the circle = r
The circumference of the circle = 2πr
The area of a circle = πr²
Now,
Scale factor = Original circle / Scaled circle
Now,
Scale factor = 2
2 = Circumference of the Original circle / Circumference of the Scaled circle
Circumference of the Scaled circle = (1/2) Circumference of the Original circle
Again,
Scale factor = 2
2 = Area of the Original circle / Area of the Scaled circle
Area of the scaled circle = (1/2) Area of the original circle
Thus,
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
Learn more about scale factors here:
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Is this graph continuous or discontinuous?
Answers
need answer thanks!!!!!!!
Answers
Step-by-step explanation:
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x + 5y = 8
3x = 24 - 157
Answers
Answer:
1) x+5y=8 (that’s a basically simplified already)
2) -44 1/3
Step-by-step explanation:
1) Since its in it’s most simplified form, leave it like that.
2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable
Given m||n, find the value of x;
Answers
Answer:
i think its 24 because its the alternate exterior so it should be the same.
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
KJananwnwwnnwnwnwnwnw
i will give brainliest to whoever answers thiss!!
Answers
Answer:
y=3
Step-by-step explanation:
-5y=-11-4
-5y=-15
y=-15/-5
y=3
Hope this helps u...
Answer:
y=3
Step-by-step explanation:
Solve the equation for x. 25x = 275
x =
Answers
Answer:
x = 11
Step-by-step explanation:
So the equation is 25x = 275. In order for us to find out what x is we need to get rid of 25 that is next to x, so we are going to have to divide 25x by 25. What you do to one side you do to the other so the equation will look like this:
25x/ 25 = 275/ 25
25x/25 = x
275/25 = 11
so x = 11
]
Snow day problem, please answer worth 10 points
Answers
The height in feet (h) of the ball t seconds after it is released can
be modeled using the formula: – 16t^2 + 10t + 6 = h
Find the time, in seconds, passed before the ball hits the ground
(let h = 0).*
*PLEASE SHOW WORKK
Answers
Step-by-step explanation:
h = -16t² + 10t + 6
When h = 0, -16t² + 10t + 6 = 0.
=> -8t² + 5t + 3 = 0
=> (-8t - 3)(t - 1) = 0
=> t = 1 or t = -3/8 (rejected as time cannot be negative)
Hence 1 second passed before the ball hits the ground.
Please help and explain how you got the answer. Im giving out brainliest. || Q2
Answers
Answer:
B
Step-by-step explanation:
Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.
Whatever you multiply the denominator by, you need to multiply the numerator by.
A) The lowest multiple of 5 and 15 is 15.
5 * 3 = 15
3 * 3 = 9
3/5 = 9/15
B) The lowest multiple of 5 and 16 is 80.
5 * 16 = 80
3 * 16 = 48
3/5 = 48/80
16 * 5 = 80
12 * 5 = 60
C) The lowest multiple of 5 and 50 is 50.
5 * 10 = 50
3 * 10 = 30
3/5 = 30/50
D) The lowest multiple of 5 and 60 is 60.
5 * 12 = 60
3 * 12 = 36
3/5 = 36/60
A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.
Answers
Step-by-step explanation:
A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :
[tex]s(t)=6+2t+t^2[/tex] ...(1)
(a) We need to find velocity at t = 4 seconds
Differentiate equation (1) wrt t.
[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]
At t = 4 seconds,
[tex]v=2+2(4)\\\\=10\ ft/s[/tex]
At t = 4 seconds, the velocity is 10 ft/s.
(b) When the balloon is 50 feet above the ground,
[tex]6+2t+t^2=50[/tex]
We need to find t.
[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]
It is a quadratic equation,
t = 5.708 and t = -7.708
Neglecting negative time, the instant time is 5.708 seconds.
A meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall. Which statements are true?
a
The prediction was off 35%
b
The percent error of the prediction was about 55%.
c
If the percent error should be less than 20%, the prediction was acceptable.
d
The difference between the predicted and the actual rainfall was 1.2 inches
Answers
Answer:
pls write the question clearly
Step-by-step explanation:
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The statements that is true: B. The percent error of the prediction was about 55%.
D. Difference between the predicted and actual rainfall was 1.2 inches.
What is the percentage error?Percentage error can be calculated using this formula;
Percentage error = Actual value observed - Expected value /Expected value
The Percentage error is;
= 2.2 - 1.0 / 2.2
Percentage error = 1.2 /2.2
Percentage error = 0.545 × 100
Percentage error = 55% (Approximately)
Since Difference between the predicted and actual rainfall;
Difference = Actual rainfall - Predicted rainfall
Difference = 2.2 -1.2
Difference = 1.2 inches.
Hence the correct statement is option B and D.
Learn more about percentage error;
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how do you find a slope
Answers
Answer:
rise/run
Step-by-step explanation:
rise meaning the y value, run meaning the x value
(Will mark brainlest Help please)out of 800 students at icenhower intermediate 208 live inside the city of mansfield
Answers
Answer:
Doesn't this mean that 592 students live outside the city of mansfield?
Step-by-step explanation:
800 - 208
Does this graph represent a function and if so why
Answers
Answer:
the answer is b
Step-by-step explanation:
if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.
Answers
Answer: -2, 1, 6,...97
Step-by-step explanation:
1st term: 1^2 - 3 = -2
1^2 = 1
1-3=-2
2nd term: 2^2-3 = 1
2^2 = 4
4-3=1
3rd term: 3^2-3 = 6
3^2 = 9
9 -3 = 6
10th term: 10^2-3 = 97
10^2 = 100
100-3=97
what is 22 to the power of 34?
Answers
Answer:
4.3890563e+45!!
Step-by-step explanation:
Move point F to various positions so the measure of ZA is approximately 15°, 30°, 45°, 60°, and 75°, and record the ratios of the sides of A5C anu
ADE
Answers
Answer:
Step-by-step explanation:Correct answer
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answers
Answer:
5 cans need to be bought
Step-by-step explanation:
In each can, 3 people can be served. 3 × 5= 15
Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?
Answers
Answer:
it will take him 16 weeks
Step-by-step explanation:
290 subtract 50 equals 240
240 divided by 15 equals 16
How many solutions does this equation have?
1/2 + 4x = - x + 2
Answers
Answer:
4
Step-by-step explanation:
..............................
describe the relationship between the similarity ratio of two triangles and the ratio of their areas. help plz
Answers
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
On Sunday, a local hamburger shop sold a combined total of 448 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
Answers
Answer:
How many hamburgers were sold on Sunday?
336
Which ordered pair is not a solution set of
4x + 2y > -10
(-6,0)
(-5,7)
(8, -3)
(4,3)
Answers
Answer:
(-6,0) is not a solution
Find the value of x.
Group of answer choices
77
34
69
146
Answers
Answer:
x = 69Step-by-step explanation:
∠K = 180 - 146 = 34
34 + x + 77 = 180
x = 180 - 77 - 34
x = 69
Anna wrote a pattern starting at 0 and following the rule "add 2." Niko wrote a pattern starting at 0 and following the rule "add 4." Which shows the two patterns?
0, 2, 4, 6, 8,... Niko: 0, 4, 8, 12, 16,...
0, 2, 4, 6, 8,... Niko: 4, 8, 12, 16, 20,...
0, 2, 4, 6, 8,... Niko: 0, 4, 6, 8, 10,...
2, 4, 6, 8, 10,... Niko: 4, 8, 12, 16, 20,...
Answers
Answer:
The first one is the right answer
Step-by-step explanation:
Hope this helps have a good day
Answer:
the first one is right
Step-by-step explanation:
259 students enrolled in a freshman level chemistry class by the end of semester 6 times the number of students passed as failed find the number of students who passed and the number of students who failed
Answers
Answer:picture?
Step-by-step explanation:
A bakery needs to make 7 batches of muffins before opening in 4 hours. Each batch of muffins takes 2/3 hour to bake.