The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.
We have given that,
The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x.
The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2).
A(t)=6x+90+x+5
A(t)=7x+95
What is the area of the formula?[tex]Area\ of \ the\ rectangle=Length \times width[/tex]
Therefore the function A(w) that can be used to represent the area of the entire window is
A(W)=A(t)+A(x)
A(W)=7x+95+2x^2 + 10x
A(W)=2x^2+17x+95
The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.
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Rewrite y +2> +(6x –9) to isolate the y-term.
Rewrite y +2>2(6x-
Helppppp
Given:
The inequality is:
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
To find:
The inequality after isolating the y-term.
Solution:
We have,
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
On simplification, we get
[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]
[tex]y+2>2x+3[/tex]
Subtracting 2 from both sides of the above inequality, we get
[tex]y+2-2>2x+3-2[/tex]
[tex]y>2x+1[/tex]
Therefore, the required inequality is [tex]y>2x+1[/tex].
A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.
Answer:
28800 square feet
Step-by-step explanation:
We solve this using the Heron's formula
Area of a Triangle = √s(s - a)(s - b)(s - c)
s = a + b + c/2
s = 100 + 580 + 600/2 = 640
Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)
= √640 × (540) ×( 60) × (40)
= √(829440000)
= 28800 square feet
Therefore, the approximate the area of the land is 28800 square feet.
Select the correct answer.
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh
Answer:
Greg weighs 180 pounds
Justin weighs 165 pounds
Pam's eye-level height is 324 ft above sea level, and Adam's eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet. 1 mi StartRoot 6 EndRoot mi 19 mi 19 StartRoot 6 EndRoot mi
Answer:
B. StartRoot 6 EndRoot mi
√6 mi
Step-by-step explanation:
A. 1 mi
B. StartRoot 6 EndRoot mi
C.19 mi
D. 19 StartRoot 6 EndRoot mi
d = √(3h/2)
Where,
d = distance they can see in miles h = their eye-level height in feet
Pam:
h = 324 ft
d = √(3h/2)
d = √{(3 * 324)/2}
= √972/2
= √486
= √(81 * 6)
= √81 * √6
= 9√6 mi
Adam:
h = 400 ft
d = √(3h/2)
d = √{(3 * 400)/2}
= √1200/2
= √600
= √(100 * 6)
= √100 * √6
= 10√6 mi
How much farther can Adam see to the horizon?
Adam - Pam
= 10√6 - 9√6
= √6 mi
Quel nombre obtient-on avec le programme de calcul cicontre, si l'on choisit comme nombre de départ −7 ? Programme de calcul Choisir un nombre de départ. Ajouter 2 au nombre de départ. Élever au carré le résultat.
Répondre:
25
Explication étape par étape :
La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.
Numéro de départ = - 7
Ajouter 2 à - 7
2 + - 7 = 2 - 7 = - 5
Carré du résultat /
-5² = 25
Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 5x + 6 = 0
A. Add -6 to both sides.
B. Take the square root of both sides.
C. Use the zero product rule to set up smaller equations.
D. Factor the left side.
Answer:
D)Factor the left side
Step-by-step explanation:
(x-2)(x-3)
please help !!! i don’t know how to write down the number of tiles :(
Macy's buys a coat from the manufacturer for $22.00. They markup the coat by 75%. Ms. Tonyes buys the coat and uses a 15% off coupon. How much does Ms. Tonyes pay for the coat before tax?
Answer:
Toney buys the coat for $ 14.8.
Step-by-step explanation:
Cost of coat =$ 22
Mark up by 75 %
discount = 10 %
Let toney pay $ R for the coat.
So, according to the question
R + 75 % R = 1.75 R
Now the cost is
1.75 R - 15 % of 1.75 R = 22
1.75 R - 0.2625 R = 22
R = 14.8
So, he buy the coat for $ 14.8.
The LCM of two numbers is 48. The number one in the ratio 2:3. Then Sum of the numbers is:
a) 16
b) 14
c) 32
d)28
Answer:
40
Step-by-step explanation:
Let the numbers be 2x and 3x
Then their L.C.M. = 6x
BUT also their LCM=48
6x=48
x=48/6
x=8
So,
First number=2x=2x8=16
Second number=3x=3x8=24
The numbers are 16 and 24.
Hence required sum =(16+24)=40
So none of the options are correct
A city has a population of 340,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 15 years?
Answer:
Future population = 720800
Step-by-step explanation:
Below is the calculation of population after 15 years.
Given the present population = 340000
Growth in population = 5.25%
Use below formula to find the values:
Future population = Present population ( 1 + r)^n
Future population = 340000 ( 1 + 5.25%)^15
Future population = 340000 (2.15)
Future population = 720800
Find the area of trapezium
Answer:
A=36
Step-by-step explanation:
A=1/2(a+b)h
=1/2[(4+8)6]
=1/2[(12)6]
=1/2(72)
=36
Can you please help me ASAP
Answer:
x=35 this is your answer
3 · (7 – 2) – 23 – (10 – 4) : 9
Answer:
-14:9
Step-by-step explanation:
Given :
3 · (7 – 2) – 23 – (10 – 4) : 9
Now,
3 · (7 – 2) – 23 – (10 – 4) : 9
21-6-23-6:9
21-35:9
-14:9
Answer will be -14:9
Helpppppp please I need this
What is the factored form of x2 + 2xy − 8y2?
Answer:
(x+2y)(x−4y)
hope this helps!
Faith makes greetinli cards with colored paper. She plans to make 1/5 of the cards out of red paper. She
has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a
color other than red?
At Fairview middle school 75 being members need to raise a total of $8250 for a trip so far they have is $3120 how much money in dollars per bandmember still needs to raised for the trip
Answer: 68.40$ per member left.
Explanation:
8250 = 75x + 3120
5130 = 75x
68.4 = x
what is the solution of 56= k-42
Answer:
k=98
Step-by-step explanation:
Let's solve your equation step-by-step.
56=k−42
Step 1: Flip the equation.
k−42=56
Step 2: Add 42 to both sides.
k−42+42=56+42
k=98
I Hope This Helps If Not Then Im Srry....
Is this true or false???!!!
Answer:
It is true
Step-by-step explanation:
Hopes this help
Witch statement about a quadrilateral is true 1. A rhombus has exactly one pair of parallel sides. 2. A trapezoid has two pairs of parallel sides. 3. All rectangle are squares. 4. Some rhombus have four right angles
Answer:
Statement 4 is true.
Step-by-step explanation:
- Statement 1 is false because a rhombus has 4 equal sides with 2 pairs being parallel to each other.
- Statement 2 is false because a trapezoid usually has only 2 sides that are parallel while the other 2 are not parallel. Thus it has only a pair of parallel sides.
- A square must have all 4 sides equal. But rectangles don't have all 4 sides equal and so the statement is false.
- Rhombus has all 4 sides equal and where it has all interior angles as right angles, it is called a square. Thus, some rhombus have all 4 interior angles as right angles.
Please help me with number ten and twelve
Answer: [tex]93,\ 34^{\circ}[/tex]
Step-by-step explanation:
Given
For figure (i) both triangles are congruent
[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]
For figure (ii)
Two triangles WXZ and WZY are congruent
[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]
What does a variable represent? Pls help
Answer:
A number we don't know
Step-by-step explanation:
Bob eats 1/4 of a pie and later eats 2/5 of the pie. What fractions remains?
Answer:
9/20
Step-by-step explanation:
After Bob eats 1/4 of the pie, he has 3/4 left. 2/5 of 3/4 is the same as (2/5)*(3/4) because "of" is used as multiplication in math. (2/5)*(3/4)=6/20, so he ate 6/20 of the pie. To get the answer, you need to solve 1-(1/4+6/20)=
1-(5/20+6/20)=20/20-11/20=9/20. I hope this helps and sorry if I made a mistake. :)
PLS HELP What type of line is PQ¯¯?
A. side bisector
B. median
C. altitude
D. angle bisector
Answer: Altitude
Step-by-step explanation:
Altitude is perpendicular line made from vertex to side
The line PQ is the altitude, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The Triangle PSR is an obtuse angle triangle,
The line PQ makes 90 degree with the line SR extended up to Q.
The line is the height of the triangle.
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A surveyor is using indirect measurement to find the height of a cliff. He is 4 feet tall and is standing 32 feet away. How tall is the cliff?
Answer:
256 ft
Step-by-step explanation:
[tex]\frac{x}{32} =\frac{32}{4}[/tex]cross multiply
4x = 32(32)
4x = 1024
x =256
256 ft
Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?
Answer:
they are equal
Step-by-step explanation:
The triangle with sides 5, 12, 13 is a right triangle because
a^2+b^2 = c^2
5^2+12^2 = 13^2
25+144 = 169
169 = 169
I'm using the pythagorean theorem converse.
Find a point on the line and the line's slope.
y+4=-3/2(x+7)
Answer:
The slope is 3/2 and a point on the line is (-7,-4)
Step-by-step explanation:
Point slope form of a line is
y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y+4=-3/2(x+7)
y - -4 = 3/2 ( x - -7)
The slope is 3/2 and a point on the line is (-7,-4)
Choose all of the angles that are coterminal with -150°.
150°
-510°
210°
-210°
570°
I'm pretty sure u chose all the ones with - in it
the length of a rectangle is three times that of the width. the perimeter of the rectangle is 32 cm. what is the width of the rectangle (answers are A- width = 2cm B- width 3cm C- width 4cm)
Answer:
c
Step-by-step explanation:
Helppppp pleaseeeeee!!!!!’
Answer:
[tex]\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,[/tex]
Step-by-step explanation:
Since interest is compounded annually, the amount of money the account has after [tex]n[/tex] years is given by [tex]y=9,000\cdot 1.12^n[/tex].
(a) After 1 year, [tex]n=1[/tex]:
[tex]9,000\cdot 1.12^1=\boxed{\$10,080}[/tex]
(b) After 2 years, [tex]n=2[/tex]:
[tex]9,000\cdot 1.12^2=\boxed{\$11,289.60}[/tex]
