Answer:
a) The dimensions of the garden are: 4.5 ft and 5 ft
b) 22.5 ft² of fencing material
c) The most precise name for the shape of the garden is a Rectangle
Step-by-step explanation:
a) Jenna has a garden with coordinate A(2,-1), B(4,3), C(9,3), D(7,-1) where each unit is 1 foot.
What are the dimensions of the garden rounded to the nearest 10th? (Looking for the lengths of the sides)
When we are given coordinates, we find the dimensions using the formula
= √(x2 - x1)² - (y2 - y1)²
(x1 , y1) and (x2 - y2)
For side AB
A(2,-1), B(4,3)
= √(4 - 2)² + (3 - (-1))²
= √2² + 4²
= √4 + 16
= √20 units = √20 feet
= 4.472135955 feet
Approximately = 4.5 feet
For side BC
B(4,3), C(9,3)
= √(9 - 4)² + (3 - 3)²
= √5² + 0²
= √25
= 5 units = 5 feet
For side CD
C(9,3), D(7,-1)
= √(7 - 9)² + (-1 - 3)²
= √(-2)² + -4²
= √4 + 16
= √20 units = √20 feet
= 4.472135955 feet
Approximately = 4.5 feet
For side AD
A(2,-1), D(7,-1)
= √(7 - 2)² + (-1 - (-1))²
= √5² + (-1 + 1)²
= √5² + 0²
= √25
= 5 units = 5 feet
Therefore, the dimensions of the garden are: 4.5ft and 5 ft
b) If Jenna decides to buy fencing for the garden, how much fence material does she need to buy? (Free response)
To buy fencing material for the garden, we have to find the area of the garden
Formula = Length × Width
= 4.5 ft × 5 ft
= 22.5 ft²
Therefore, Jenna needs to buy 22.5 square feet of fencing material.
c) What is the most precise name for the shape of the garden?
From the above calculation, we can see that
Side AB = Side CD = 4.5 ft
Side BC = Side AD = 5 ft
Therefore, the most precise name for the shape of the garden is a Rectangle
what times three give you 100
Answer:
33.3
Step-by-step explanation:
Hey so I'm tryna' do this thing wit my friend we have to get the most brainliest in 1 week so I was wondering if you could help me on that by giving me brainliest, u don't have to tho! it was a pleasure helping you.
Answer:
3times x =100
Step-by-step explanation:
well make the x the key of the answer
Find the area of this triangle. Round to the nearest tenth
Answer:
127.5 square meters
Step-by-step explanation:
17 x 15=225
225/2
127.5 square meters
Number 7, please help me
Answer:
oh dang.. imma head out, no big brain time for me..
Step-by-step explanation:
Write the slope of the line containing each pair of points.
1. (3, 4) and (5, 7)
2. (5, 2) and (9,4)
Kinda confused on this
Answer:
1) 1.5 2) 0.5
Step-by-step explanation:
To find slope using two points like (x1,y1) and (x2,y2), the slope is (y2-y1)/(x2-x1), so for first question (7-4)/(5-3) = 3/2 = 1.5, and same for the second question.
What can you conclude about the relationship between government and big business before the Progressive Era began?
The government imposed strict regulations on big business
The government let big business do almost anything they wanted
The government helped working people unionize, upsetting big business
The government regularly sued big business in court
Answer: it’s the second one
Step-by-step explanation:
Help me with this please 4 and 6 only though.
y=9x is proportional
y= 19x - 5 is non proportional.
Hope this helped
Answer:
well 4 is proportional.
6 is non proportinal
Step-by-step explanation:
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
cups of sparkling water.
How much apple juice does Jada need if she uses 6 cups of sparkling water?
cups of apple juice.
Jada needs 10 cups of sparkling water if she uses 15 cups of apple juice.
Jada needs 9 cups of apple juice if she uses 6 cups of sparkling water.
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Answer:
There are 48 boys in the choir
Step-by-step explanation:
Write an equation for a line with a slope of 5 and y-inter of -3
Answer:
y=5x-3
Step-by-step explanation:
y=mx+b where m=slope and b= y-intercept
What is the radius, in centimeter, of a circle that has a circumference of 16π centimeters? A. 8 B. 16 C.32 D.6432 D
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:you spel't it wrong so if im right then its b and c
8+8
16+16
32+32
64+64Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?
0.25 miles per minute
0.09 miles per minute
4 miles per minute
11 miles per minute
Answer:
answer is 0.09 per minute
Step-by-step explanation:
edge 2021
Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.
Work out the percentage increase in the cost of her car insurance
(3 marks)
Answer:
Increase=638/245*100=260.40
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
PLEASE HELP HELP HURRY PLEASE !!!!!!!!
Answer:
what are we helping with?
Step-by-step explanation:
for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?
Answer:
35 degrees
Step-by-step explanation:
for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?
Let the given expression be equal to 1, hence;
csc (2x+30°)= cos (3y-15°) = 1
csc (2x+30°) = 1
1/sin(2x+30) = 1
1 = sin(2x+30)
sin(2x+30) = 1
2x+30 = arcsin(1)
2x+30 = 90
2x = 90-30
2x = 60
x = 60/2
x = 30 degrees
Get the value of y;
cos (3y-15°) = 1
3y - 15 = arccos (1)
3y - 15= 0
3y = 0+15
3y = 15
y = 15/3
y = 5
Sum of x and y;
x+y = 30 + 5
x+y = 35degrees
Hence the sum of x and y is 35 degrees
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Let the number of boys and the number of girls be 5x and 4x
Number of girls = 4x = 60
x = 15
Number of boys = 5x
= 5× 15
= 75 boys
Answer:Let the number of boys and the number of girls be 5x and 4x
Number of girls = 4x = 60
x = 15
Number of boys = 5x
= 5× 15
= 75 boys
Step-by-step explanation:
Find m w in rhombus TUVW.
The two arc lengths shown on the circles are equal, but the circles are different sizes. 2 circles. One circle has a radius of 8 inches and a shaded sector with an angle measure of 90 degrees. The second circle has a shaded sector with an angle measure of 120 degrees. One circle has a radius of 8 in. What is the radius of the other circle? Arc length circle 1 = Arc length circle 2 StartFraction 90 degrees over 360 degrees EndFraction (2 pi (8)) = StartFraction 120 degrees over 360 degrees EndFraction (2 pi (4)) One-fourth (16 pi) = one-third (2 pi r) 4 = two-thirds r r =
Answer:
6
Step-by-step explanation:
I just did the question
write the decimal that represent the shaded portion on the model.
Answer:
.45
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
Since 45 out of the 100 squares are shaded, it means the fraction would be 45/100 and 45/100 is equal to 0.45.
If we add 7 to twice a number , we get 49. Find the number
4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
Write a ratio, in simplest form, to compare all the stamps.
What 32:30:12 in sim plaits form
Answer:
it'll be 64:5
Hope this helps
Hope this helps ALL THE BEST!!
Standard Notations 3.042 x 10²
74100
170000
36000
I believe this is right!
please help! i'll give brainliest and 5 stars
Answer:
Step-by-step explanation:
x/2 = 20
*2 *2 (2 cancels)
x = 40
Answer:
x=40
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x2 + 13x -3 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
The term added which completes the square is half of the linear coefficient squared. In a quadratic ax^2+bx+c, b is the linear coefficient, so in this case the added term would be
(13/2)^2=169/4=42.25
The term 13/2 is added to complete the square.
What is a quadratic equation?
A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The quadratic equation is x^2 + 13x -3 = 0.
This is not the perfect square term. So we can solve this by using the completing the square method.
⇒ [tex]x^{2} +13x-3=0[/tex]
⇒ [tex]x^{2} +13x=3[/tex]
⇒ [tex]x^{2} +13x + (\frac{13}{2})^{2} =3+(\frac{13}{2})^{2}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =3+\frac{169}{4}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =\frac{181}{4}[/tex]
⇒ [tex]\sqrt{ (x+\frac{13}{2} )}^{2} =\sqrt{\frac{181}{4}}[/tex]
⇒ [tex](x+\frac{13}{2})[/tex] = ± [tex]\frac{\sqrt{181} }{2}[/tex]
Hence we can conclude that the term 13/2 is added to complete the square.
Learn more about quadratic equations here
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Which is the most accurate measurement for the line segment?
Answer:
Step-by-step explanation:
So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length. The length of a line segment can be measured either in metric units such as millimeters, centimeters, or customary units like feet or inches.
If logb y = 2x + logb x, find y.
Answer:
y = 2 x + log ( b x ) , y
Step-by-step explanation:
here you go buddy
ratio of boys to girls in a class of 27 is 1:2
Please help!
Please answer the question on the screen!
Answer:
(x+1)²-5(x-7)= area
Area= (x+1)²-5x-35
Area= x²+2x-5x+36
Area= x²-3x+36
Step-by-step explanation:
Answer:
-12 is the answer but I don't know that is right or not ▪︎▪︎find ST, find UV, Find the perimeter of triangle RST, find SU
Answer:
(a). ST = 15 units; (b). UV = 3 units; (c). [tex]P_{RST}[/tex] = 54 units; (d). SU = 9 units
Step-by-step explanation:
The centroid of a triangle is the intersection of the three median of the triangle.
If a median of a triangle is a perpendicular, then a triangle is an isosceles triangle.
The first term of a geometric sequence is 18 and the multiplier is 3.5. What is the 5th term of the sequence?
Answer:
2701.125
Step-by-step explanation:
fifth term = 18(3.5)^4
Answer:
a₅ = 2701.125
Step-by-step explanation:
Multiply each term by 3.5 , that is
a₁ = 18
a₂ = 3.5 × 18 = 63
a₃ = 3.5 × 63 = 220.5
a₄ = 3.5 × 220.5 = 771.75
a₅ = 3.5 × 771.75 = 2701.125
Find the value of x.
Answer:
x=71
Step-by-step explanation: