2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area of each shape. Use 3.14 for π. (4 points)
4. What is the total area to be painted? (2 points)
Answers
Answer:
2. do part 3, then subtract area not painted from the overall area
3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²
4. 57.72 ft²
Step-by-step explanation:
2.The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.
__
3.The area of the triangle is given by the formula:
A = 1/2bh
A = 1/2(8 ft)(4 ft) = 16 ft²
The area of the semicircle is ...
A = 1/2πr²
A = 1/2(3.14)(2 ft)² = 6.28 ft²
The area of the rectangle is ...
A = bh
A = (8 ft)(6 ft) = 48 ft²
__
4.The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...
triangle area + rectangle area - semicircle area
= 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area
Related Questions
Solve the equation for y.
(15y+24)/a =f PLEASE DO NOT HELP ME IF YOU DO NOT KNOW WHAT YOU ARE DOING!! Everyone on this app who has helped me have been getting me wrong on all my work.
Answers
Answer:
y = [tex]\frac{fa - 24}{15}[/tex]
Step-by-step explanation:
[tex]\frac{15y + 24}{a}[/tex] = f
multiply both sides by a
(15y + 24) = fa
the parenthesis can be removed
15y + 24 = fa
subtract 24 from both sides
15y = fa - 24
divide both sides by 15
y = [tex]\frac{fa - 24}{15}[/tex]
What is the slope of this problem.
Answers
Answer:
Slope of the line= -1
Step-by-step explanation:
The given line is of equation y= -x
Slope of any line= y/x
= -x/x= -1
Please can you help me with this perpendicular line question?
Please don't answer if you don't have one, else I will report you.
Thanks,
Answers
Answer: y=-x+4
Step-by-step explanation:
Involves sine/cosine rules
Answers
Answer:
44.47 cm² (nearest hundredth)
Step-by-step explanation:
Area of ΔABC = 1/2 x base x height
⇒ 21 = 1/2 x 7 x BC
⇒ BC = 6 cm
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AB² + BC² = AC²
⇒ 7² + 6² = AC²
⇒ AC² = 85
⇒ AC = √85 cm
Cosine rule to find length AD:
c² = a² + b² - 2 ab cosC
⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)
⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°
⇒ AD² - 5.39106...AD + 0.36 = 0
⇒ AD = 5.323442445, 0.06762541414
⇒ AD = 5.323442445
Area of a triangle ADC: (1/2)absinC
(where a and b are adjacent sides and C is the angle between them)
⇒ area = (1/2) × AC × AD × sin(DAC)
⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)
⇒ area =23.4675821... cm²
Area of quadrilateral = area of ΔABC + area of ΔADC
= 21 + 23.4675821...
= 44.47 cm² (nearest hundredth)
Solution set for -8y<72
Answers
Answer:
y < -9
Step-by-step explanation:
-8y < 72
~Divide -8 to both sides
y < -9
Best of Luck!
Simplify the expression by removing symbols of grouping and combining like terms.
4t[5 − (t − 4)] + t(t + 3)
Answers
Answer: -3t^2 + 39t
Step-by-step explanation:
help me pls pls pls
nonsense=report
nice answer=brainles
pls dont waste my points
Answers
G) The softball diamond is 25 meters long on each side
O) Multiplication
N) Twenty-five meters times 4 sides
S) 25 meters * 4 = 100 meters
A) 100 meters
Find the area plllllllllssssss
Answers
Answer:
A = 25 ft²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 10 × 5 = 5 × 5 = 25 ft²
Please help me solve this.
Answers
Answer:
Step-by-step explanation:
The slopes of parallel lines are equivalent, so you are correct.
8.
Use the graph to
write an equation of the line
and interpret the slope.
Answers
= -60
y-y1 = m(x-x1)
y-180 = -60 (x-5)
y-180=-60x+300
y= -60x + 480
Good Luck.
What is the range of the following relation
(9,-2) (4,3) (8,10) (-4,8)
A- 2,3,8,10
B-(9, -2) (4,3)
C - -4,4,8,9
D- (8,10) (-4, 8)
Answers
Answer the following questions.
1) Match the descriptions with the properties.
If you multiply or divide both sides of an inequality by a negative number, you must change the direction of the inequality symbol.
If you divide the terms of one side of an inequality by a positive number, you must divide the terms of the other side of the inequality by the same number for the inequality to remain true.
If you add a value to one side of an inequality, you must add the same value to the other side of the inequality for the inequality to remain true.
Addition Property of Inequality
Division Property of Inequality
Inequality Property of Multiplication or Division by a Negative Number
Multiplication Property of Inequality
Subtraction Property of Inequality
Answers
Answer:
B. If both sides of an inequality are multiplied or divided by a negative number, the direction of the inequality symbol must be reversed.
Step-by-step explanation:
-20:2+(15)=
Simplify
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y. Which table represents this situation?
y
y
24
12
24
8
24
6
24
0
38
18
36
12
36
9
36
48
24
48
16
48
12
48
10
60
30
60
20
60
15
60
Answers
Answer:B; (12,24) (18,36), etc
Step-by-step explanation:divide y and x, in this case 24÷2=12
The ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y.
x = y/2
or
2x = y
Based on the above equation the pairs of (12,24) (18,36), (24, 48), and (30, 60) satisfy the equation.
Thus, the ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
3. The radius of a circle is 7cm. Find the circumference of the circle. Use 22 for pi. . .
Answers
Answer:
44cm
Step-by-step explanation:
The formula to find the circumference of a circle is :
C = 2 π rHere,
r ⇒ radius ⇒ 7cm
π ⇒ 22/7
Let us find now.
C = 2 π r
= 2 × [tex]\frac{22}{7}[/tex] × 7
= 14 × [tex]\frac{22}{7}[/tex]
= [tex]\frac{308}{7}[/tex]
= 44 cm
How many solutions does the system of equations have?
y = 9x - 4
y = -6x + 6
Answers
Answer:
1 solution (2/3, 2)
Step-by-step explanation:
What is the the independent quantity and the dependent quantity.
If Sam buys the pair of shoes for $64, he will have to pay a sales tax of $5. 28
Answers
Hey there!
Total = Price+ Sale s tax
=> $64 + $5. 28
=> $69.28
Therefore, Total cost is $69.28
The independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).
What is the independent and dependent variable?In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.
In this scenario, the independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).
The cost of the shoes is the independent variable because it is the value that is being used to calculate the amount of sales tax, which is the dependent variable.
The amount of sales tax depends on the cost of the shoes, hence the name "dependent variable."
To learn more about the independent and dependent variables click here:
https://brainly.com/question/1479694
#SPJ2
GIVING 50 POINTS 42 + 49 - 9023 + 34830 =
Answers
What is 42 + 49 - 9023 + 34830?
Answer: 25898
Explanation:
1. 42 + 49 = 91
2. 91 + -9023 = -8932
3. -8932 + 34830 = 25898
please help :( A large rectangle has a length of 30 inches and a width of 27 inches. A smaller rectangle has a length of 10 inches and a width of question mark inches. The diagram represents the process of enlarging a rectangle using a scale factor of 3. The width of the original rectangle must be: 9 in. 11 in. 12 in. 17 in.
Answers
Answer:
9in
Step-by-step explanation:
I´m telling you I just got it Right
Answer:
It’s A
Step-by-step explanation:
GOT IT RIGHT
what is rebooting computer?
Answers
https://en.m.wikipedia.org/wiki/Reboot
Hope this helps. If you need any more help please comment. Good luck in your learning journey and have a wonderful day/night!! :)
SOMEONE PLS HELP ASAP
Answers
Answer: h(3) = 1
Step-by-step explanation: If x = 3, draw a straight horizontal line at it. It crosses 1 at y, so h(3) = 1.
I NEED HELP. I MAY MARK BRAINLEIST
Answers
Complementary Angles
Explanation:
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.[1] Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves define also an angle, which is the angle of the tangents at the intersection point. For example, the spherical angle formed by two great circles on a sphere equals the dihedral angle between the planes containing the great circles.
An angle formed by two rays emanating from a vertex.
Find the value (6° -2°) x (6° +2°)
Answers
Answer:
0
Step-by-step explanation:
using the identity
[tex]a^{0}[/tex] = 1 , then
([tex]6^{0}[/tex] - [tex]2^{0}[/tex] ) × ([tex]6^{0}[/tex] + [tex]2^{0}[/tex] )
= (1 - 1) × (1 + 1)
= 0 × 2
= 0
a^0 = 1
6^0-2^0 = 1-1
= 0
(6^0 -2^0)*(6^0+2^0) = 0*(1+1)
= 0
6. (01.03 LC)
An item originally priced for $51.99 is on sale for 15% off. What is the discounted price of the item? (4 points)
$7.80
O $44.19
$45.21
d
$61.16
Answers
Answer:
$44.19 it is correct answer
helppppppppp meeeeeeeeee
Answers
Answer:
R'(-15, 1.5)
S'(-6, 3)
T'(-6, -4.5)
U'(-15, -4.5)
Step-by-step explanation:
Multiply every coordinate by the scale factor k = 3/2 which also 1.5.
R(-10, 1) ---> R'(-15, 1.5)
S(-4, 2) ---> S'(-6, 3)
T(-4, -3) ---> T'(-6, -4.5)
U(-10, -3) ---> U'(-15, -4.5)
1/5a+5=21, what is the value of a
Answers
Answer:
the value of a is 80
A=80
Step-by-step explanation:
Answer: A=100
Step-by-step explanation: You multiply 1/5A by 5 and 21 by five. A+5=105 and then you subtract 5 giving you 100
A quantity with an initial value of 8600 grows exponentially at a rate of 20% every 2 minutes. What is the value of the quantity after 67 minutes, to the nearest hundredth?
Answers
Answer:
23400 x 8/100 = 1872 = the loss
1872 : 12 = 156= the loss each month
156/1872*100% = 8.33 % then round it
Answer:
The answer is 3864294.3
Step-by-step explanation:
Evaluate the following function when x = 2: f(x) =x^2-x+2
Answers
Answer: 4
Step-by-step explanation:
First you do the exponent because of "order of operation", which in this case is 2 to the 2nd power or 2 squared. Then you substract the answer you got by doing 2 squared, which is supposed to give you an answer of 4 which then gets substracted by 2, which leads to the answer being 2 and then you add 2 + 2 and the final answer is 4
BRAINLIEST ASAP!! Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Answers
Question: Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Answer: Focus: (3, 2)
Step-by-step explanation:
Use the vertex form to find the focus. Hope this helps!
what is the domain? What is the range
Answers
Answer:
domain: -∞ < x < ∞range: -∞ < y ≤ 4Step-by-step explanation:
The domain is the horizontal extent of the function graph. The range is its vertical extent. The arrows on the ends of the lines indicate they extend to negative infinity in the vertical direction, and to ± infinity in the horizontal direction. The maximum value of the function is y=4.
The domain of the function is -∞ < x < ∞.
The range of the function is -∞ < y ≤ 4.