City officials are putting a garden around a memorial site as shown below.
Part A Determine the area of the memorial site in terms of x.
Write your answer as a trinomial and include units. Show or explain your work.
Part B The outside edges of the garden form a rectangle whose length and
width are proportional to the sides of the memorial site, increased
by a scale factor of 3. Determine the lengths of the outside edges of
the garden. Write your answer in simplest form.
Part C Determine the area of the garden in terms of x. Write your answer in
simplest form. Show or explain your work
Answers
Answer:
I only remember how to do part A, so sorry for using up an answer.
Step-by-step explanation:
Part A:
[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]
(I also don't know if this is the form you need it in, but I hope I could help a little.)
The area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
What is Area of Rectangle?The area of Rectangle is length times of width.
(a) The area of the memorial site is given by multiplying the length and width:
Area = (4x + 7)(3x + 5)
Expanding this expression using the distributive property, we get:
Area = 12x²+ 41x + 35
Therefore, the area of the memorial site is 12x² + 41x + 35 square units.
(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.
Length of garden = 3(4x + 7) = 12x + 21
Width of garden = 3(3x + 5) = 9x + 15
Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.
(c) The area of the garden is given by multiplying the length and width:
Area of garden = (12x + 21)(9x + 15)
=108x²+180x+189x+315
=108x²+369x+315
Hence, the area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
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Could someone please me find this answer
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Answer:
9/100
Step-by-step explanation:
a percent is 9 out of 100 so it is 9/100
find the solution set to each inequality
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F > 8
If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?
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Answer:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Step-by-step explanation:
If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
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Answer:
your answer is number 3 or 4 I believe it is both
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
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Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
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Find the length of side x in simplest radical form with a rational denominator.
45
X
45
V8
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Answer:
relationship between perpendicular and hypotenuse is given by sin angle
sin45=p/h
sin45=√8/x
1/√2=√8/x
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file:///C:/Users/USER/Downloads/Documento%20sin%20t%C3%ADtulo%20(5).pdf
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Answer:
Hm
Step-by-step explanation:
yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well
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V = π (3)^2 (5)
V = π (9) (5)
V = π 45
V = 141.3 in
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g(1) = 4
g(n) = g(n-1).(-3)
g(3)=
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g(1) = 4
g(n) = g(n-1).(-3)
g(3)= 2g(2) = 24 = 16
. Your family ate 6 out of 8 pieces of a pizza. Tell
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amount leftover as two fractions. Be sure to
write the fractions in simplest form.
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Answer:
[tex] \frac{6}{8} \\ \\ \\ \frac{2}{8} [/tex]
amount leftover: 1/4
This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles
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Find the interest on $4,000 at 3% for 4 months.
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Answer:
$80 interest will be owed for 4 months
Step-by-step explanation:
P is the principal amount, $4000.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
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To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that
Mcxkskakakamakzkakmzm mxkskazkzkkaakakskskzmmxjfgjifowoas
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Answer:
(3z+15) cm
Step-by-step explanation:
Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.
Is (6, 1) a solution to the inequality 11x + 3y > 4?
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Answer:
Yes (6,1) is a solution to the inequality
Step-by-step explanation:
Plug in the coordinate point and check:
11(6)+3(1)>4?
66+3>4?
69>4
Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.
Graph the equations to solve the system.
y = 2x - 6
y = -x-3
Click on the correct answer.
no solution: 0
solutions, all
numbers on the line
one solution: {0,-3)
one solution: (1.-4)
Answers
Answer:
one solution: (1.-4)
Step-by-step explanation:
y = 2x - 6...... (1)
y = -x-3......(2)
Plug y = -x-3 in equation (1)
2x - 6 = - x - 3
2x + x = 6 - 3
3x = 3
x = 3/3
x = 1
Plug x = 1 in equation (2)
y = - 1 - 3
y = - 4
(x, y) = (1, - 4)
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Answer:
12,000-(0.05x)=t
Step-by-step explanation:
Can someone please help me with this math problem please:):)
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Answer:
y = 126° + 29° = 155°
Step-by-step explanation:
I think this may be a solution:
126°+29°=155°
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Answer:
Five rational numbers between -5/3 and -8/7 are- Read more on Sarthaks.com - https://www.sarthaks.com/830151/find-five-rational-numbers-between-5-3and-8-7
Step-by-step explanation:
After reviewing your model stock list, you discover a changing sales pattern over the last several months on the most popular style of jeans. The data note the following sales per month: August-75 units, September-95 units, October-130 units. Assuming your sales continue to grow at the avereage rate they did between August and October, what will your sales be in November?
a) 90
b) 105
c) 106
d) 158
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Answer:
158
Step-by-step explanation:
If the average rate between August and October was on an increase, then November sales will be 158.
What is Rate?This is defined as the quantity or amount of something which is measured per unit of something else.
From the stock list, the average rate kept increasing which means option D is the most appropriate choice.
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i tried answering this but I don't think its right
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Solve for x
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Answer:
x=19
Step-by-step explanation:
19/12=x/12
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What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answers
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
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2 Question 9
Help I’ll give Brainly est
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Answer:
it c
Step-by-step explanation:
Find the solution to the system
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Answer:
84 [tex]cm^{2}[/tex]
Step-by-step explanation:
find the area of each shape and add them together
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Answers
Answer:
ratio
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Step-by-step explanation:
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Step-by-step explanation:
m= money
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Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
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one fourth times the product of 8 and 3, then divide by 5
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Answer: B. One fourth times the product of 8 and 3, then divide by 5.
Which of the following is a factor of 21? 0 5 7
