a teacher wants to paint a wall wit a door in a classroim. the entire wall is a 12 ft by 10 ft rectangle, and the foor is a 3ft by 8ft rectangle
Answer:
The answer is 144 square feet.
Step-by-step explanation:
if you are trying to find the sum of the room, then you multiply 10 and 12 which equals 120 then you multiply 8 and 3 and that equals 24, then you add your two answers (120+24) and that equals 144 square feet.
2. Find the area of the figure below.
1.3 cm
1.3 cm
3 cm
4.2 cm
6.8 cm
5 cm
The area of the figure as shown in the diagram is 30.64 cm².
What is area?The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.
To calculate the area of the figure, we use the formula below
Formula:
A = 2LW+l²................... Equation 1Where:
A = Area of the figure shown in the questionL = Length of the rectangleW = Width of the rectanglel = Length of the squareFrom the diagram,
Given:
L = 5 cmW = 1.3 cml = 4.2Substitute these values into equation 1
A = (2×5×1.3)+4.2²A = 13+17.64A = 30.64 cm²Learn more about area here: https://brainly.com/question/28470545
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If an animal produces 60L of manure each day and the average number of animals on a feeding operation is 460 cattle. How much manure is produced each day???
(please show work)
The amount of Manure that can be produced each day is 27,000 litres
What is litres?
Litre can be described as a unit that is used to measure the quantity of a liquid. From the question stated above, we are asked to calculate the quantity of Manure that can be produced daily
Each animal produces 60 litres of manure
A total number of 460 cattle are on a feeding operation
= 460 × 60
= 27,000 litres
Hence the amount of manure produced daily is 27,000 litres
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What is the complement of an angle whose measure is
Answer:
Supplementary angles are two angles whose measures sum to a 180 degrees and complementary are the sum have to add up to 90 degrees.
Step-by-step explanation:
Answer:
hope u find it useful
hope this is what u want
1. A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 8 miles due north to his place of work. If a road was made directly from his home to his place of work, what would its distance be? 1a. If the road was made as described above, how much shorter would the man’s one-way trip be every day?
Answer:
1.) 15.26
2.). 5.74 miles
Step-by-step explanation:
1. We will solve this using the pythagorean theorem
Ab² + bc² = ac²
= 13² + 8² = ac²
= 169 + 64 = ac²
233 = ac²
We take square root of both sides to get ac
√233 = ac
15.26 = ac
So the distance from his home to his place of work is approximately equal to 15.26
2. Actual distance = 13 + 8 = 21 miles
21 miles - 15.26 = 5.74miles
Therefore his one way trip would be 5.74 miles shorter everyday.
divide 7 by 12 to change 7/12 to a repeating decimal. 7/12 = 7 divided by 12 = ?
Answer:
0.58333333....
can i have brainliest plz
HELP PLEASE QUICK!!!!!
Answer:in what can I help
Step-by-step explanation:
helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
Use the dot plot to find the MEAN.
Answer:
Step-by-step explanation: To find the mean of the dot plot, you will need to add all of the dots together.
For example: Above 2, there are 3 dots , so you would need to multiply 2 by three to get 6 dots above the number 2.
Do that for all of the numbers on the dot graph from 1 - 6, and you will have this equation:
1 + 6 + 18 + 20 + 15 + 12
Next, you will need to add all those numbers together and you will get 72.
Lastly, divide by how many numbers there are, and there are 6 numbers.
So, that will be 72/6 which is 12.
Your answer will be 12.
help What is the area of a rectangle with a length of Four and two-fourths meters and a width of Seven and five-sixths meters?
Thirty-five and six twenty-fourths m2
Twenty-eight and ten twenty-fourths m2
Twenty-eight and seven-tenths m2
Twenty-two and ten-twelfths m2
Answer: To find the area of the rectangle, we need to multiply its length by its width.
The length of the rectangle is 4 and 2/4 meters, which is equivalent to 4.5 meters (since 2/4 can be simplified to 1/2, and 4 + 1/2 = 4.5).
The width of the rectangle is 7 and 5/6 meters, which is equivalent to 7.83 meters (since 5/6 can be simplified to 0.83, and 7 + 0.83 = 7.83).
Therefore, the area of the rectangle is:
Area = length x width
Area = 4.5 meters x 7.83 meters
Area = 35.2935 square meters (rounded to four decimal places)
So, the area of the rectangle is approximately 35.2935 square meters, which can be simplified to 35 and 6/24 square meters or 35 and 1/4 square meters.
Therefore, the answer is: Thirty-five and one-fourth (35 1/4) square meters.
Step-by-step explanation:
Find the value of x in the triangle shown below
Answer:
x = 3
Step-by-step explanation:
we can use the Pythagorean theorem to solve this problem
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
x = +/- 3
we take only the positive value because a length can‘t be negative
x = 3
What is the value of u?
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
CMON IM GONNA GIVE BRAINLIEST AND POINTS REAL ANSWERS ONLY IM TRYING TO HURRY ITS 5 WEEKS OVERDUE
Answer: tap on that line at the zero then above the zero press one
Step-by-step explanation:
Answer:
Step-by-step explanation:
(6,5) im not sure but thats my best guess
URGENT! Can someone please help?
a. The missing values of the logarithm expression is log₃(40).
b. The missing values of the logarithm expression is log₅(8).
c. The missing values of the logarithm expression is log₂(1/25).
What is the missing of the logarithm expression?The missing values of the logarithm expression is calculated as follows;
(a). log₃5 + log₃8, the expression is simplified as follows;
log₃5 + log₃8 = log₃(5 x 8) = log₃(40)
(b). The log expression is simplified as;
log₅3 - log₅X = log₅3/8
log₅X = log₅8
X = 8
(c). The log expression is simplified as;
-2log₂5 = log₂Y
log₂5⁻² = log₂Y
5⁻² = Y
1/25 = Y
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Find the following for the function f(x) = 3x2 + 4x - 4.
(a) f(0)
(e) - f(x)
(b) f(3)
(f) f(x+3)
(c) f(-3)
(g) f(3x)
(d) f(-x)
(h) f(x+h)
(a) f(0) = (Simplify your answer.)
(b) f(3) = (Simplify your answer.)
(c) f(-3)=(Simplify your answer.)
Answer:
f(0)=2
f(3)=14
f(3)=14
answer as a decimal with 3 significant digits
Answer:
0.08330.75Step-by-step explanation:
There are four different color marbles.
Probability of blue:
P(B) = 1/4,Next, there are 3 marbles left in the bag since no replacement.
Probability of red after blue:
P(R) = 1/3The probability of these two steps in order:
P(Blue then Red) = 1/4*1/3 = 1/12 = 0.0833Complement of R is:
P(Rc) = 1 - P(R) = 1 - 1/4 = 3/4 = 0.75Max measures the angles in a triangle.
He says the angles are 50°, 35º and 85°,
Explain why Max cannot be correct.
Answer:
Max cannot be correct because a triangle is made up of three angles, whose sum is 180°. Max's answers add up to 170°
pls help me i need this right now
≈ 15.70 cm
Step-by-step explanation:L = πr·n°/180°
n = 180° - 66.4° = 113.6°
L = 3.14×7.9×113.6/180
= 2817.9616/180
= 15.6553
≈ 15.70 cm
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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Which best describes the solution for the system of linear equations graphed below?
-6 -5 -4 -3 -2 -1 0
1 2 3 4 5 6
- 2
A (0,5) only
B (1,0) only
C no solution
D infinitely many solutions
Answer:
D is correct Answer. Parallel line on graph means infinity many solutions.
say true or false with explanation if both sin teta and cos tetanus are negative then teta is thrid quadrant angle.
Answer:
true
Step-by-step explanation:
hope it helps .
all the best
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Non Shaded Shaded
Area
Area
8
Find the radius
of the small circle
Answer:
The answer is 16pi or 50.3cm² to 1 d.p
Step-by-step explanation:
The non shaded=area of shaded
d=8
r=d/2=4
A=pir³
A=p1×4²
A=pi×16
A=16picm² or 50.3cm² to 1d.p
Answer:
3.45 cm (3 s.f.)
Step-by-step explanation:
We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.
To find the radius of a regular polygon given its side length, we can use this formula:
\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):
\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)
The formulas for the area of a regular polygon and the area of a circle given their radii are:
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Therefore, the area of the regular pentagon is:
\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)
The area of the circumcircle is:
\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)
The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.
The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.
Given the shaded area is equal to the unshaded area:
\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)
\(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)
Therefore, the radius of the small circle is 3.45 cm (3 s.f.).
Which choices are equivalent to the fraction below? Check all that apply.
Someone please explain how this in general form 2x – 3y – 7 = 0 is 2x - 3y + 10 = 0
Answer:
Step-by-step explanation:
yes....the pair of linear equations has unique solution.....
2x + 3y - 7 = 0 ...... (i)
3x + 2y + 10 = 0 ....... (ii)
on comparing the equation i nd ii with a1x + b1y + c1 = 0
nd a2x + b2y + c2 = 0 reslectively......
a1 = 2 ; b1 = 3 ; c1 = -7
a2 = 3 ; b2 = 2 ; c2 = 10
here....its clear that......
a1 / a2 is not equal to b1 / b2
Therefore the given pair of linear equation have a unique solution........
Nate has a deductible of $1,000 and a collision coverage limit of $5,000. He damages his car in an accident and it will cost $7,000 to repair. How much does Nate have to pay total out of pocket for this claim?
Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.
However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.
Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.
In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.
Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.
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The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
The variable k represents a value in the set {-2-4-6-8}. which value of k makes 4 (1.5-k)-10=56/2 a true statement A.-2 B. -4 C. -6 D.-8
Question: The variable k represents a value in the set {-2,-4,-6,-8}. Which value of k make 4(1.5-k)-10=56/2 a true statement?
Step-by-step explanation:
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Find the point slope of the line passing through the given points(use the first point (x1,y1)
(-3,4),(2,5)
Answer: y - 4 = 1/5 * (x+3)
Step-by-step explanation:
Chose the missing side length and the trigonometric ratio you would use to calculate.
Answer:
The missing value is 2.9mm and cosine was used
Step-by-step explanation:
Given triangle is a right-angled triangle we can use trigonometric ratios to calculate the missing length.
In the given triangle,
Base = k
Hypotenuse = 15mm
Angle = 79
We will use trigonometric ratio which includes base and hypotenuse.
Using cosine,
\(cos\ (angle) = \frac{Base}{hypotenuse}\\cos\ 79 = \frac{k}{15}\\k = cos\ 79 * 15\\k = 0.1908*15\\k = 2.862\)
Rounding off to nearest tenth
\(k= 2.9mm\)
Hence,
The missing value is 2.9mm and cosine was used