The required perimeter of the rectangle is 28 units.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal² [= 10² = 100]
We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100
L² = 100 - 36
L² = 64
L = 8
So the length of the rectangle is 8 units.
To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Therefore, the perimeter of the rectangle is 28 units.
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a trader needs $300000 to improve her business, she deposits $110000 in her savings account at 5% per annum compound interest. she then adds $50000 to her savings at the end of each year find
(a) her total savings after 3 years.
(b)by how much is her savings greater or less than $300000 at the end of the third year
interpret it that there are three payments of 50,000 aside from the current deposit of 110,000
amount after 3 years
= 110,000(1.05)^3 + 50,000( 1.05^3 - 1)/.05
*EXTRA PTS* pls answer all 3 :)
Answer:
5, x = 0, y = -2
6, x = 4, Y = 9
7, X = -2, Y = -2
Step-by-step explanation:
A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9
students have signed up for the pottery class.
Let x represent how many more students need to sign up. Which inequality describes the
problem?
9 + X > 15
9 + x 2 15
Solve the inequality. Then, complete the sentence to describe the solution.
At least
more students need to sign up.
9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that a high school will only offer a pottery class next year if at least 15 students sign up.
9 students have signed up for the pottery class.
Let x represent how many more students need to sign up.
9+x≥15
9+x≥15 is the inequality describes the problem.
Subtract 9 from both sides
x=15-9
x=6
So 6 more students should be added to the pottery class.
Hence, 9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.
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PLS I NEED HELP
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answer:
The answer is C I know that is right
What is the value of the fraction below?
21/0
A. Undefined
B.0
PLEASE HELP
In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
(a) m ZVUX =
(b) m ZUXW =
Given:
In the circle, [tex]m(\overarc{VUX})=152^\circ[/tex] and [tex]m(\angle MUV)=77^\circ[/tex].
To find:
The following measures:
(a) [tex]m\angle VUX[/tex]
(b) [tex]m\angle UXW[/tex]
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
[tex]m(VUX)=2\times m\angle VWX[/tex]
[tex]152^\circ=2\times m\angle VWX[/tex]
[tex]\dfrac{152^\circ}{2}=m\angle VWX[/tex]
[tex]76^\circ=m\angle VWX[/tex]
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[tex]m\angle VUX+m\angle VWX=180^\circ[/tex] [Opposite angles of a cyclic quadrilateral]
[tex]m\angle VUX+76^\circ=180^\circ[/tex]
[tex]m\angle VUX=180^\circ-76^\circ[/tex]
[tex]m\angle VUX=104^\circ[/tex]
Now,
[tex]m\angle UXW+m\angle UVW=180^\circ[/tex] [Opposite angles of a cyclic quadrilateral]
[tex]m\angle UXW+77^\circ =180^\circ[/tex]
[tex]m\angle UXW=180^\circ-77^\circ[/tex]
[tex]m\angle UXW=103^\circ[/tex]
Therefore, [tex]m\angle VUX=104^\circ[/tex] and [tex]m\angle UXW=103^\circ[/tex] .
A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If
Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far
up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round
to the nearest tenth of a foot.
Answer:
21.8
Step-by-step explanation:
the product of -5 and the number is 35 what is the number
a. 40
b. 30
c. -7
d. 7
Step-by-step explanation:
-5y=35
=35÷(-5)
= -7
=-5×-7
=35
Which expression is equivalent to 17s-10+3(2s+1)?
O 23s-9
O 23s-7
O 11s-7
O 11s-9
Answer:
23s-7
Step-by-step explanation:
17s-10+3(2s+1)
17s-10+6s+3
23s-7
What is the slope ?
15x-3y = 18
Answer:
5
Step-by-step explanation:
To find the slope, you need to solve for y
So subtract 15x from both sides
-3y=-15x+18
Divide by -3
y=5x-6
The slope is 5
Answer:
5
Step-by-step explanation:
Because I is smart
Lol, give other person brainliest, they deserve it
Benny plant grew 16.8 centimeters this year. The plant grew the same amount each month. How much did the plant grow each month?
Answer:
1.4 centimeters each month
Step-by-step explanation:
we know that there are 12 months in a year. if the plant grew 16.8 centimeters in one year, you would have to divide 16.8 by 12 so your equation would be:
16.8/12 = 1.4
Yo guys help pls.pls pls
Answer:
A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.
Step-by-step explanation:
Explain how you would find the length of one side off a square if the area is 16 square units please HELP
Answer:
area = length x width 4x4 = 16
side lengths are 4
Step-by-step explanation:
Danielle sells 3 donuts for $9. Write an equation to represent the relationship between the number of donuts sold and the earning
Halp
Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each.
Work out Sean's percentage profit.
Answer:
the percentage profit is 20%
Step-by-step explanation:
Given that
Sean paid £10 for 24 chocolate bars
He sold all 24 chocolate bars for 50p each
we need to find out the percentage profit
Since he paid £10 and sale value is (24 × 0.50) i.e. £12
So, the percentage profit is
= (£12 - £10) ÷ (£10)
= 20%
Hence, the percentage profit is 20%
What is the square root of 49/900
The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.
To find the square root of 49/900, we can simplify the fraction first:
The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).
49/900 = [tex](7^2)/(30^2)[/tex]
Taking the square root of the numerator and denominator separately, we get:
√ [tex](7^2) /[/tex]√([tex]30^2[/tex])
Simplifying further, we have:
7/30
Therefore, the square root of 49/900 is 7/30.
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Explain to me what cathyrn did wrong based of the line plot? I’ll mark brainliest if I have one
Answer:
Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.
Hope this helped!
Solve this equation 4n+3= 4n-2 by graphing
Answer:
no solution
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
Given the function f(x)=2(3x+7)−4(x−2), what would be the value of input, x, if f(x)=18?
Answer: x=-2
Step-by-step explanation:
Given
f(x)=2(3x+7)-4(x-2)
f(x)=18
Use substitution method
2(3x+7)-4(x-2)=18
Expand parenthesis
6x+14-4x+8=18
Combine like terms
2x+22=18
Subtract 22 on both sides
2x+22-22=18-22
2x=-4
Divide 2 on both sides
2x/2=-4/2
x=-2
Hope this helps!! :)
Please let me know if you have any questions
DO THIS
NO LINKS pls
Answer:
1= 1/6, 2= 1/6, 3= 4/6
Step-by-step explanation:
'1' and '2' are equal and only take up 1/6 of the "circle" each, leaving '3' with 4/6 of it.
Therefore, '1' and '2' would be placed 1/6 along the line, and '3' would be placed 4/6 along the line.
What is g(-3) for g(1) = (x + 7) + 2?
Answer:
x9
Step-by-step explanation:
i dunno if correct
Answer:
6
Step-by-step explanation:
Since you're given g(-3), set up the equation to look like this:
g(-3) = (x+7) + 2
Then plug in the g(x):
g(x) = (-3 + 7) + 2
Use PEMDAS to solve the equation:
g(x) = (-3 + 7) + 2
g(x) = (4) + 2
g(x) = 6
Find the DIAMETER if the circumference of a circle is 64.7
Answer:
20.6
Step-by-step explanation:
What is the volume of this sphere
Use π=3.14 and round your answer to the nearest hundredth
BRAINLIEST TO CORRECT ANSWER! NO links as answers, or you will be reported! (question 12)
Answer:
Factor numerator and denominator
Step-by-step explanation:
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?
A. 5 + 3
B. 5 + -3
C. 5 - -3
D. -5 - -3
Answer:
C
Step-by-step explanation:
To get from home to work, Felix can either take a bike path through the
rectangular park or ride his bike along two sides of the park.
How much farther would Felix travel by riding along two sides of the park
than he would by taking the path through the park?
F 1.7 mi
G 0.6 mi
H 2.5 mi
J 0.1 mi
Answer:
h its h :)
Step-by-step explanation:
i
make a conjecture as to what number comes is next
-15,-10,-4, 3, 11, ______
Given:
The sequence is:
-15,-10,-4, 3, 11, ______
To find:
The next number.
Solution:
We have,
-15,-10,-4, 3, 11, ______
Here, the difference between two consecutive terms are:
[tex]-10-(-15)=-10+15[/tex]
[tex]-10-(-15)=5[/tex]
Similarly,
[tex]-4-(-10)=6[/tex]
[tex]3-(-4)=7[/tex]
[tex]11-3=8[/tex]
It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.
Let the next number be x. Then,
[tex]x-11=9[/tex]
[tex]x=9+11[/tex]
[tex]x=20[/tex]
Therefore, the next number of the sequence is 20.
Lisa's bedroom is 6 meter long and 4 meters wide how much carpet will Lisa need to cover the whole floor of her bedroom?
Answer:
24 m²
Step-by-step explanation:
Given that:
Dimension of bedroom = 6 meter by 4 meter
To obtain how much carpet Lisa would need to cover the floor of her bedroom, we calculate the area of the room.
From the dimension given, the area of the room can be obtained using the Area if a rectangle formular :
Area of room = Length * width
Area of room = 6m * 4m
Area of room = 24 m²
Carpet required is 24m² of carpet
Answer:
24m
Step-by-step explanation:
if you times 6 and 4 that equals 24 really easy problem.
Solve systems of linear equations by elimination.check your solution
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules