The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.
Step-by-step explanation:
Step 1:
To calculate the area of the given room, we divide the unknown shape into known shapes.
The room's shape is made of 2 rectangles.
The area of a rectangle is the product of its length and its width.
One rectangle has a length of 10 feet and a width of 12 1/2 feet.
The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.
Step 2:
The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.
The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.
The total area of the room = 125 + 22.5 = 147.5 square feet.
Answer:
147.5ft²
Step-by-step explanation:
10 × 12¹/₂ = 125
5 × 4¹/₂ = 22¹/₂
Total area = 125 + 22¹/₂
Total area = 147¹/₂ = 147.5
can someone help me pls
answer chocices
a.80
b.180
c.100
d.90
Answer:
<1= 100°
Step-by-step explanation:
<1=<5 Corresponding angles are equal
To find <5
180-80=100
Therefore <1=100
In the diagram below, lines h and s are parallel. If the m∠2 = 70°, what is the angle measurement of m∠7?
a. 70
b. 130
c. 7
d. 110
Answer:
c
Step-by-step explanation:
took it
Can anyone help with Qs 22-25 pls !!
Or the ones you can do
Answer:
24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!
Please solve my questions
Important note: Write the # question next to the answer please!
I will mark as brainlest!!
Find BD. NO LINKS ALLOWED PLEASE.
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
-18x -18x
27x - 45 = 90 Add 45 to both sides
+45 45
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12
Suppose a normal distribution has a mean of 48 abd a standard deviation of 5. What is the probability that a data value is between 48 and 52?
Answer:
P(48<x<52) = 0.2881
Step-by-step explanation:
P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881
Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.
Answer:
c
Step-by-step explanation:
Match the corresponding sides.
Solve the problem.
A teacher is going to assign each student a 3-digit code using the digits 0 through 4. How many codes are possible if no repetitions are allowed?
A.) 60
B.) 125
C.) 24
D.) 64
Answer:
24 codes are possible
Step-by-step explanation:
0 through 4 means we are to select from 0,1, 2 , and 4
That’s a total of 4
The first number has 4 choices, the second 3, the 3rd two and the last 1
The product of the choices are;
4 * 3 * 2 * 1 = 24 codes
Find the sum of the following series 5+10+20+...+40960
Please help I’ll give Brainlyiest
Answer:
40995
Step-by-step explanation:
not sure, your question is not as clear, therefore, rephrase it so i can provide a clearer answer
What is the gradient of the blue line?
The slope or gradient of the blue line from the given graph is -3.3.
The equation of line is shown in the graph.
What is slope or gradient of a line?The slope or gradient of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope or gradient = Rise/Run
From the given graph, the gradient of a line is
Slope = rise/run
= -4/1.2
= -3.3
Hence, the slope or gradient of the blue line from the given graph is -3.3.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ1
Evaluate the value of x to 1 d.p
Thank you
Answer:
value of x = 2.8
Step-by-step explanation:
By law of cosines,
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8[/tex]
can someone please help me :(((((((
Answer:
D
Step-by-step explanation:
Answer:
C) 3
Step-by-step explanation:
combine like terms
=> [tex]x^{2+3}[/tex] × [tex]y^{2+?}[/tex] = [tex]x^{5}y^{5}[/tex]
=> [tex]x^{5} y^{2+?}[/tex] = [tex]x^{5}y^{5}[/tex]
divide [tex]x^{5}[/tex] on both side to eliminate x
=> [tex]y^{2+?}[/tex] = [tex]y^{5}[/tex]
=> [tex]y^{2+3}[/tex] = [tex]y^{5}[/tex]
=> [tex]y^{5}[/tex] = [tex]y^{5}[/tex]
need help on this please giving brainlest! :)
4n + 2 = 6 (1/3n-2/3)
N=???
l give brainiest
Answer:
N= -3
Step-by-step explanation:
4n+2 = 6(1/3n - 2/3)
4n+2 = 2n - 4
2n +2 = -4
2n = -6
n = -3
Answer:
- 3
Step-by-step explanation:
4n + 2 = 6 ( 1 / 3 n - 2 / 3 )
Divide 2 on both sides,
2n + 1 = 3 ( 1 / 3 n - 2 / 3 )
2n + 1 = 3n / 3 - 6 /3
2n + 1 = n - 2
2n - n = - 2 - 1
n = - 3
I'm confused here
|
translation (4,1)
translation (0,2)
translation (6,1)
translation (3,1)
don't worry about the last 2
Answer:
I'm confused to.
Step-by-step explanation:
the interest for 3 years on Rs2400is Rs576 find the interest on Rs 4200 for 2 yrs at the same rate of interest
Answer:
Solution given:
time [t]=3years
principal [p]=Rs2400
rate[r]=?
simple interest [S.I]=Rs 576
we have
S.I=ptr/100
576=2400*3*r/100
576=72r
r=576/72
r=8%
now
principal [p]=Rs 4200
time[t]=2years
rate[r]=8%
simple interest [S.I]=?
we have
S.I= ptr/100=4200*2*8/100=Rs 672
The required interest is Rs 672.
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
A recipe calls for 2 teaspoons of orange juice. A can of orange juice is 22 fluid ounces. How many teaspoons of juice are in a can
Answer:
132 teaspoons in a 22 ounce can
Step-by-step explanation:
There are 6 teaspoons in 1 ounce
22 * 6 = 132
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.
Answer:45
Step-by-step explanation:
This is the pythagorean theroem. So you would have sides a, b, and c, of the triangle.
[tex]a^{2}+b^{2}=c^{2} so\\c^{2}-b^{2}=a^{2} \\53^{2}-28^{2}=a^{2} \\a^{2}=2025\\a= \sqrt{2025} =45[/tex]
Answer:
The answer is 45
Step-by-step explanation:
With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?
What is an equation of the line that passes through the point (2;8) and has a slope of 3?A.y= 3x-2
B.y= 3x-22
C.y= 3x+ 2
D.y= 3x+ 22
Answer:
The letter C is the answer.
n is a positive integer
explain why n(n-1) must be an even number
Answer:
if 'n' is positive and odd then reducing it by one gives you an even; so then you are multiplying and even and an odd which results in an even
if 'n' is positive and even then reducing it by one gives you an odd; so then you are multiplying and even and an odd which results in an even
Step-by-step explanation:
8. Which of the following is not a true statement?
A) 33.326 > 33.316
B) 24.10009 < 24.11
C) 34.32 = 34.3200000
D) 27.4200 > 27.42
Answer:
Answe is D
Step-by-step explanation:
The zero doesn't mean any sense when it comes to decimal..
Answer:
i think its D
Step-by-step explanation:
27.42000 > 27.42000 is wrong because they're equal.
correct answer:
27.42000 = 27.42000
hope this helps!
Please help with this
Step-by-step explanation:
multiply 455 by 0.20
convert percentage to decimal
20% = 0.20 ( multiply by 10^-2)
why does this work?
convert to a fraction
20/100 ( this is also how you get decimal)
simplify 20/100 = 1/5
so multiplying 455 by 0.20 is the same as dividing by 5
find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2
Answer:
3260 is the ratio of two similar trapizoids
Answer:
7:3
Step-by-step explanation:
(Ratio of perimeter)^2 = ratio of area.
Therefore
ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3
At Barlow School,4/9 of the 873 students are boys. Add to Willow school, 2/3 of the 630 students are girls. Which school has the greater number of boys and by how many?
Answer:
Barlow School has more boys. It has 178 more boys than Willow School.
Step-by-step explanation:
[tex] \frac{4 \times 873}{9} = \frac{3492}{9} = 388[/tex]
Barlow School has 388 boys.
[tex] \frac{630 \times 2}{3} = \frac{1260}{3} = 420[/tex]
There are 420 girls in Willow School. To find the number of boys, subtract the number of students with the number of girls.
630 - 420 = 210
Willow School has 210 boys
388 - 210 = 178
Barlow School has 178 more boys than Willow School
Please help!
A coin is tossed and an equally divided spinner (as shown) is spun. What is the probability of a head on the coin or a prime number on the spinner?
Choose:
3/10
6/10
8/10
9/10
Answer:
the answer is the second one
Which is the solution to the equation 8.25 + 1/4w = 10.75? Round to the nearest hundredth if necessary.
Answer:
w = 0.215
Step-by-step explanation:
(8.25 + 1) / 4w = 10.75
9.25/4w = 10.75
9.25/4w(4w) = 10.75(4w)
9.25 = 43w
9.25/43 = w
w = 0.215
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
