Answer:
a. Length = 13 yards and Width = 21 yards.
b. Area of rectangle = 273 square yards.
Step-by-step explanation:
Let the length of the rectangular garden be L
Let the width of the rectangular garden be W
Given the following data;
Perimeter of garden = 68 yards
Translating the word problem into an algebraic equation, we have;
W = 2L - 5 ......equation 1
Note: The formula for calculating the perimeter of a rectangle is;
[tex]P = 2L + 2W[/tex]
68 = 2L + 2W ........equation 2
Substituting eqn 1 into eqn 2;
68 = 2L + 2(2L - 5)
68 = 2L + 4L - 10
68 = 6L - 10
6L = 68 + 10
6L = 78
L = 78/6
L = 13 yards
To find the width;
W = 2L - 5
W = 2(13) - 5
W = 26 - 5
W = 21 yards.
b. To find the area of the garden;
Area of rectangle = length * width
Area of rectangle = 13 * 21
Area of rectangle = 273 square yards.
Fill in the blanks to make a true statement.
(2+___i) + (___+3i) = 6 + 8i
Answer:
(2+ 5i) + (4 + 3i) = 6 + 8i
Step-by-step explanation:
2 + xi + y + 3i = 6 + 8i
(2 + y) + xi + 3i = 6 +8i
(2 + y) + (x + 3)i = 6 + 8i
Compare real numbers
2 + y = 6
y = 6 - 2
y = 4
Compare imaginary numbers
x + 3 = 8
x = 8 - 3
x = 5
Help pls. Given l || m || n, find the value of x.
Answer:
41
Step-by-step explanation:
By transversal parallel lines theorem, x=41
answer:
x = 41
- use the rules to solve it
Quizziz 9th grade help please please
Answer:
(x-4)(x-12)
Step-by-step explanation:
If you need help factoring lmk i can help ya :)
What is the remainder when 16,055 is divided by 16? (Input numeric values only)
it can't be on a calculator
because you get the wrong number on there thenk you
Answer:56
Step-by-step explanation:
with 16 into 55 do that math then put the number you got then put it into another 16 boom 56
Molly and George earned 352 points together. Molly has half the number of points as
George. Which equation could represent this situation? Let g represent the number of
points George earned.
Answer:
Assume G = George
I can use the problem to find that:
G + 1/2G = 352
find the value of x
Answer:
x = 4
Step-by-step explanation:
10x + 140 = 180
10x = 40
x = 4
Answer:
x = 4
Step-by-step explanation:
I did 140 + 10x = 180
Then I solved by subtracting 180 - 140 to get:
10x = 40
Next you divide 10 on both sides to get 4 as x
in triangle pqr the measure of r=90 rp=3.7 and pq=9.5 find the measure of <Q to the nearest tenth of a degree
Answer:22.9
Step-by-step explanation:
In complete sentences, answer the following question.
What are the elements of a body paragraph?
The salaries of 4 players on a professional basketball
team average $200,000 per year. If a fifth player is hired
for $400,000 per year, what will be the average salary
for the 5 players?
If salary average of 4 players is making $200,000/yr, what's the total payroll? It should be $200K x 4 or $800,000.
Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players? It should be $800,000 + $400,000 = 1,200,000. From there you can find the average of the 5 players by dividing!
How far up the tree is the cat ?
To the nearest 10th, find the measure of the missing side.
Answer:
Climate change includes both global warming driven by human emissions of greenhouse gases, and the resulting large-scale shifts in weather patterns.
Simplify the expression (-502) square root 0
Answer:
[tex]-502\sqrt 0 = 0[/tex]
Step-by-step explanation:
Given
[tex]-502\sqrt 0[/tex]
Required
Simplify
[tex]-502\sqrt 0[/tex]
----------------------------------------
[tex]\sqrt 0 = 0[/tex]
----------------------------------------
So:
[tex]-502\sqrt 0 = -502 * 0[/tex]
[tex]-502\sqrt 0 = 0[/tex]
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A. XY = 19 mm, YZ = 11 mm, XZ = 29 mm
В. XY = 19 mm, YZ = 11 mm, XZ = 31 mm
C. XY = 19 mm, YZ = 10 mm, XZ = 30 mm
D. XY = 20 mm, YZ = 11 mm, XZ = 32 mm
It should be C I’m not 100% shor tho
The fraction form of -1.6 is
Answer:
-1 2/3
Step-by-step explanation:
5.
In rhombus QRST diagonals RT and QS are drawn. If m
then which of the following is the measure of
a 76
b 90
C 38
d 48
HELP ME PLEASE !!! thank you
Answer:
<STR = 38degrees
Step-by-step explanation:
Find the diagram attached
Complete Question:
In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?
Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y
y+y+104 = 180
2y = 180-104
2y = 76
y = 38degrees
Since <STR = y, hence the measure of <STR = 38degrees
PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.
Answer:
Can you put the picture of the triangle up
Step-by-step explanation:
I'll change my answer then
DON'T REPORT ME
Answer:
i need a picture to awnser your question
Step-by-step explanation:
A school paid 31.50 for each calculator
If the school bought x calculators, how much did
they pay? Write an expression.
Bertie Beetke Walks so that he is always exactly 1.3 cm. Adam and walks so that he is always exactly 3.5 cm from crumb B the only two points at which they can meet, mark the points with crosses.
Answer:
I can not give an exact solution, because I can not draw in the given image and I don't know the scale of the image, but I can give a general way of solving this.
We know that a circle is a shape such that al the points are equidistant to the center.
So, if Bertie is always exactly 1.3cm from crumb A, then all the possible positions of Bertie are shown by a circle of radius = 1.3cm around crumb A.
And if Adam is always exactly 3.5cm away from crumb B, then the possible positions of Adam are shown by a circle of radius = 3.5cm around crumb B.
So to solve this problem, you need to draw these two circles, and the points where the circles intersect each other will be the points where Bertie and Adam could meet.
Please help ........
Answer:7.5
Step-by-step explanation: because of its size and diamiter its 7.5
Simplify this equation 3m + 4 = -5
(2,15) (-4,-3) in standard form
Answer:
pizza
Step-by-step explanation:
... :D
Write an expression that can be used to produce vector g from vectors e and f.
Answer:
g=e+f
Step-by-step explanation:
e= (-1,5)=-1i+5j
f=(3,-4)=3i-4j
g=(2,1)=2i+j
Let there exist real constant a,b:
ae+bf=g
For i: -a+3b=2
For j: 5a-4b=1
[tex]\left[\begin{array}{ccc}-1&3&2\\5&-4&1\end{array}\right][/tex]
Solves and gives:
a=1
b=1
g=e+f
The frequency table shows the scores from rolling a dice
work out the mean
PleSee help!!! 10 points for it
Answer:
ben birşey anlamadım sorundan
MY
2B =
Cou
Round your answer to the nearest hundredth.
SA
A
MY
Pro
9
Pro
Tea
B
5
Answer:
<B = 56.25°
Step-by-step explanation:
Reference angle = B
Hypotenuse = AB = 9
Adjacent = BC = 5
Applying trigonometric ratio:
[tex] cos (B) = \frac{adj}{hyp} [/tex]
[tex] cos (B) = \frac{5}{9} [/tex]
[tex] B = cos^{-1}(\frac{5}{9}) [/tex]
B = 56.25° (nearest hundredth)
Find the value needed for the “?” to make the equation true.
1/x^? = x^6
Answer: ? =__
Answer:
[tex]? =-6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{x^?} = x^6[/tex]
Required
Find ?
Apply law of indices
[tex]x^{-?} = x^6[/tex]
Cancel x on both sides
[tex]-? = 6[/tex]
Multiply both sides by -1
[tex]-1*-? = 6*-1[/tex]
[tex]? =-6[/tex]
Pls help me fasttt I’ll give brainliest!!
Answer
Look at this
Step-by-step explanation:
National pride is patriotism
w is less then or equal to 7
and greater than 3
The answer could be 4,5,6, or 7.
Give brainliest?
What percent of 6.6 is 28.71?
Answer:
28.71 x 0.066 = 1.89486
Step-by-step explanation:
in which part of the number line would 112% be located?
Answer:
It would be 1.12 away from 0