The dimension of the rectangle is 40meters by 20meters
What is the perimeter of a figure?The perimeter of a figure is the sum of all the external sides of the figure
The formula for calculating the perimeter of rectangle = 2(l+w)
If the length is 20 meters longer than the width, then;
l = 20 + w
Substitute
120 = 2(20+2w)
60 = 20 + 2w
30 = 10 + w
w = 20 meters
Since l = 20 + w
l = 20 + 20
l = 40 meters
Hence the dimension of the rectangle is 40meters by 20meters
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Find the product or expression:
(a+16)2
Answer:
[tex]\boxed{\sf{2a+32}}[/tex]Step-by-step explanation:
You have to use a distributive property.
Distributive property:
→ A(B+C)=AB+AC
⇒ (a+16)2
→ 2(a+16)
Multiply.
⇒ 2*a=2a
→ 2*16=32
Rewrite the problem down.
⇒ 2a+32
Therefore, the correct answer is 2a+32.I hope this helps you! Let me know if my answer is wrong or not.
Hi!
Given:
[tex](a+16)2[/tex]
See the 2 out in front of the parentheses? Using the distributive property, we need to multiply that 2 by each of the terms inside of the parentheses. See the attached image below for more information.
So:
[tex]2*a+16*2[/tex]
[tex]2a+32[/tex]
Therefore, your answer is 2a + 32
What is the equivalent expression for 24x - 40y ?
Answer:
See answer and step-by-step attachment.
Step-by-step explanation:
See attachment.
What value of x makes the equation true? 6 6x + 8 = 3x - 19 : A. X=-9 B. -- 3 C. = -3 D. x= 3
Answer:
A. x = -9
Step-by-step explanation:
6x + 8 = 3x - 19 <== subtract 3x from both sides
-3x -3x
3x + 8 = -19 <== subtract 8 from both sides
- 8 - 8
3x = -27 <== divide both sides by 3
/3 /3
x = -9
Hope this helps!
Answer:
[tex]\tt x=-9[/tex]
Step-by-step explanation:
[tex]\tt 6x + 8 = 3x - 19[/tex]
Subtract 8 from both sides:-
[tex]\tt 6x+8-8=3x-19-8[/tex]
[tex]\tt 6x=3x-27[/tex]
Subtract 3x from both sides:-
[tex]\tt 6x-3x=3x-27-3x[/tex]
[tex]\tt 3x=-27[/tex]
Divide both sides by 3:-
[tex]\tt \cfrac{3x}{3}=\cfrac{-27}{3}[/tex]
[tex]\tt x=-9[/tex]
The vaule of x that makes the equation true is A) x= -9.
What is the value of (-4)-3?
1
64
О.
—
1
12
64
ОО
1
12
Answer:
Answer is -1/64
Step-by-step explanation:
Mark me the brilliant
The radius of a circle is 17 ft. Find its circumference in terms of pi
helpppp: Find the area of the parallelogram.
Step-by-step explanation:
that is totally simple.
the area of a parallelogram is
baseline × height
basically the same as for a rectangle, just that in this more general form the height is no longer the other side.
in our case here
18×13 = 234 cm²
What is the area of this triangle ?
Answer:
8
Step-by-step explanation:
area of a triangle= b x h x 1/2 or b x h /2
the base is 4 and the height is 4
4x4/2
=16/2
=8
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the sample mean package weight for Thursday
Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.
What is the mean of a data-set?The mean of a data-set is given by the sum of the observations divided by the number of observations.
For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.
Hence, the sample mean in ounces is of:
M = (18 + 19 + 20 + 19)/4 = 19.
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1 point
2. Three boards are unloaded into the factory.
А
B
С
Board A is three times the length of board C, plus 5 inches. Board B is two
times the length of board C, plus 3 inches. The total length of all three boards
is 104 inches. How long is each board?
Your answer
??
Find the area of the triangle with the following coordinates. A (-5,9) B (1,-7) C (8,4)
QUESTION : > FIND THE ARE OF THE TRIANGLE WITH THE FOLLOWING COORDINATES.
A. (-5,9)
B . (1,-7)
C . (8,4)
ANSWER :> A.
(-5,9).
HOPE IT HELPS
THANK ME LATER.
#CARY ON LEARNINGSolve 96 =3w+ 15, where w is a real number.
2
Round your answer to the nearest hundredth?
Answer:
3+15=18 i guess
Step-by-step explanation:
dont judge me im only in 2 grade
Age of car = 4 years. Original cost = $13,850. The current market value is $
Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(4) = 13850(0.9)^4[/tex]
A(4) = 9087.
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1. Oscar and Eli set up a lemonade stand. If they have prepared 2 1/2 gallons of lemonade, how many 1-cup servings can they sell? A) 10 B 20 C
40 D 80
Answer:
40 cups
Step-by-step explanation:
There are 16 cups in one gallon. So 16 * 2 1/2 = 40
Find N in this equation: N X 4 divided by 2 + 5 - 1 = 20
Hi!
4n/2+5-1=202n+4=202n=20-42n=16n=8Sushil was thinking of a number. Sushil halves the number and gets an answer of 61.4. Form
an equation with x from the information.
X
What number must you add to complete the square?
x^2 - 16x = 23
A. -8
B. -64
C. 64
D. 8
Answer:
D
Step-by-step explanation:
Answer:
D. 8
Step-by-step explanation:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2) ² = (-8)²
Add the term to each side of the equation.
x² - 16x + (-8)² = 23 + (-8)²
Simplify the equation.
Raise -8 to the power of 2.
x² - 16x + 64 = 23 + (-8)²
Simplify 23 - (-8)²
Raise - 8 to the power of 2.
x² - 16x + 64 = 23 + 64
Add 23 and 64
x² - 16x + 64 = 87
Factor the perfect trinomial square into (x-8)²
(x-8)²=87
Solve the equation for x.
Take the square root of each side of the equation to set up the solution for x.
(x-8)²*¹/₂ = ±√87
Remove the perfect root factor x-8 under the radical to solve for x.
x - 8 = ±√87
Remove parentheses.
x - 8 = ±√87
Add 8 to both sides of the equation.
x = ±√87 + 8
The result can be shown in multiple forms.
Exact Form:
x = ±√87 + 8
Decimal Form:
x=17.32737905…,−1.32737905…
How do do this problem
Answer:
42 in
Step-by-step explanation:
The lengths of the tangent segments drawn from an external point to a circle are equal.
AT and RT meet at point T
⇒ AT = RT = 9 in
RE and GE meet at point E
⇒ RE = GE = 5 in
AN and NG meet at point N
⇒ AN = GN = 7 in
Total perimeter = AT + RT + RE + GE + GN + AN
= 9 + 9 + 5 + 5 + 7 + 7
= 42 in
When fully charged, Jaylin's
computer works for 20 hours.
She uses her computer for about
1.5 hours each day. A low battery
warning comes on when there is
hours of use or less remaining
Answer:
The battery seems to be charging at a rate of 1 percentage point per minute. So the battery should be fully charged at 10:11 AM.
Step-by-step explanation:
What is the solution to 2x + 5 = 6x – 5? Show your work.
Answer:
2x - 6x = -5-5
-4x = -10
4x = 10
x = 10/4
Therefore, x= 5/2.
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 126 in, find its area. Answer in inch ^2
Answer:
486 square inches.
Step-by-step explanation:
126 = w + 6w + w + 6w
126 = 14w
width = 9 inches
A = wl
A = (9)(9*6)
A = 486 square inches
Please help asap !!!!
C
Step-by-step explanation:
You do 5 - 2 = 3 and -y = -x so the answer would be C.
(-5, -5) (1,3) find the distance between each pair of points
Answer:
10
Step-by-step explanation:
Plug into Distance formula --> √(1 - (-5))^2 + (3 - (-5))^2
---> 10
A boy bought 1,567kg of frozen chicken,657g of vegetables and 95g of corn oil from a shopping mall. What is the total weight of the items she bought in kilograms
Answer:
1567.752
Step-by-step explanation:
1000g = 1 kg. Before you can add them together, you have to multiply the vegetables and corn oil by 0.001 so that they are now in the unit of Kilograms. Then just add all of them together
Answer:
1567.752
Step-by-step explanation:
Two forces of 560 N and 222 N act at a point. The resultant force is 634 N. Find the angle between the forces.
The angle between the two forces of 560 N and 222 N is 80.96°
What is the resultant of two vectors?The resultant of two vectors P and Q refer to the magnitudes of the vectors and it can be expressed by the formula [tex]\mathbf{R = \sqrt{P^2 +Q^2 +2PQ cos \theta }}[/tex]
Now, using the above equation, we can easily determine the angle between the forces of the two vectors as follows:
[tex]\mathbf{634 = \sqrt{560^2 +222^2 + 2(560 \times 222) \ Cos \theta }}[/tex]
[tex]\mathbf{401956 =313600 +49284 + 248640 \ Cos \theta }}[/tex]
[tex]\mathbf{401956 -313600 -49284 = 248640 \ Cos \theta }}[/tex]
[tex]\mathbf{39072= 248640 \ Cos \theta }}[/tex]
[tex]\mathbf{ Cos \theta = \dfrac{39072}{248640}}}[/tex]
[tex]\mathbf{Cos \theta =0.1571}[/tex]
[tex]\mathbf{ \theta =80.96^0}[/tex]
Therefore, we can conclude that the angle between the forces is 80.96°
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On January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years. The effective interest rate for a note of this type is 15 percent. How much revenue does Hideki recognize on January 1, 2022?
Hideki recognizes a $17,490.06 revenue.
RevenueGiven that on January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent, to determine how much revenue does Hideki recognize on January 1, 2022 the following calculation must be made:
10000 x 1.15^4 = X10000 x 1.749 = x17490.06 = XTherefore, Hideki recognizes a $17,490.06 revenue.
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Answer:
Hideki recognizes a $17,490.06 revenue.
Step-by-step explanation:
What is sin 45°?
O
45°
VE
1
90°
45°
1
O
O A. /
O B. v
O C. 1
O D.
1
2
Answer:
A
Step-by-step explanation:
A
The value of sin 45° is,
⇒ sin 45° = 1/√2
We have to given that,
A triangle is shown in image.
We know that,
sin x = Opposite / Hypotenuse
Now, By given triangle,
sin 45° = 1/√2
Therefore, The value of sin 45° is,
⇒ sin 45° = 1/√2
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how is 12 x √3/2 = 6√3 ?
[tex]12x\sqrt{\cfrac{3}{2}}~~ = ~~6\sqrt{3}\implies (6)(2)x\cdot \cfrac{\sqrt{3}}{\sqrt{2}}~~ = ~~6\sqrt{3}\implies \cfrac{(2x)(6\sqrt{3})}{\sqrt{2}}=6\sqrt{3} \\\\\\ \cfrac{2x}{\sqrt{2}}=\cfrac{6\sqrt{3}}{6\sqrt{3}}\implies \cfrac{2x}{\sqrt{2}}=1\implies 2x=\sqrt{2}\implies x=\cfrac{\sqrt{2}}{2}[/tex]
"In order to pass your final assessment, you must answer 75% of the questions correctly. There are 84 questions." “Then, I must get __________ correct to pass.”
Answer: 63 questions
Step-by-step explanation: to find 75% of 84, multiply 84 by .75
Calculate the percent
Answer:
95% of 28 is 26.6
Step-by-step explanation:
28 * 0.95 = 26.6
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
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A researcher is studying the growth of bacteria. He starts with 260 of the bacteria. It grows continuously at a rate of 1% per hour. How many bacteria will there be in 6 hours?