A small staircase is made so that the horizontal piece of each step 10 inches long and 25 inches wide. Each step is 5 inches above the previous one. What is the surface area of this staircase?
Answers
Answer:
1125 in²
Step-by-step explanatio1D
Assume that the staircase is three steps high, as in the diagram.
Each tread has a surface area of
10 in × 25 in = 250 in²
Each riser has a surface area of
5 in × 25 in = 125 in²
There are three treads and three risers, so the total surface area is
3 × 250 in² + 3 × 125 in² = 750 in² + 375 in² = 1125 in²
The surface area of the small staircase which is made such that the horizontal piece of each step 10 inches long and 25 inches wide is 1125 in².
What is surface area?Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed. Surface area of a cuboid is the sum of total area of each face.
The image of the staircase is shown below. This small staircase is made so that the horizontal piece of each step 10 inches long and 25 inches wide.
Thus, the surface area of the trade of stair case is,
[tex]A_{t}=10\times25\\A_{t}=250\rm\;in^2[/tex]
Each step is 5 inches above the previous one. Thus, the surface area of the riser of stair case is,
[tex]A_{r}=25\times5\\A_{r}=125\rm\;in^2[/tex]
Total surface area of one step is,
[tex]A_{s}=3(A_{t}+A_{r})A_{s}=3(250+125)\\A_{s}=3(375)\\A_{s}=1125\rm\;in^2[/tex]
Hence, the surface area of the small staircase which is made such that the horizontal piece of each step 10 inches long and 25 inches wide is 1125 in².
Learn more about the surface area here:
https://brainly.com/question/20771646
Related Questions
Please; Ignore the background.
Using the information given below, determine the relationship between the two triangles.
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Answer:
x= -3 1/2x= -3 1/2
Step-by-step explanation:
Answer:
x= -3 1/2x= -3 1/2
Step-by-step explanation:
Is the following number rational or irrational?
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How do you answer the questions in the picture?? Please helppp!!
Answers
Answer:
a) 1.50 m/s²
b) 675m
c) 11.25 m/s
Step-by-step explanation:
1. a) Acceleration can be found from the gradient of a speed-time graph, which is the graph we have here.
Notice that the graph from t=0 to t=10 has the same gradient thoughout (since it is a straight line). Hence, the acceleration when t=4 is the same as the acceleration from t=0 to t=10.
To find the gradient of the graph from t=0 to t=10, use the gradient formula below:
gradient=[tex] \frac{y1 - y2}{x1 - x2} [/tex]
The coordinates of the point at t=0 is (0,0) and the point at t=10 is (10,15).
Thus, gradient
[tex] = \frac{15 - 0}{10 - 0} \\ = \frac{15}{10} \\ = 1.5[/tex]
Therefore the acceleration when t=4 is 1.50 m/s².
*Acceleration is the rate of change of velocity (or speed).
b) Distance travelled can be found by calculating the area under a speed-time graph.
The area under the graph is the orange trapezium that the question has shaded for you already.
Formula for area of trapezium= ½(a+b)(height)
a+b is the total length of the two parallel horizontal lines of the trapezium.
Let the top line be a and the bottom line be b.
length of a= distance between (10,15) and (40,15)
Length of a
= 40 -10
= 30 units
Length of b
= 60 -0
= 60 units
height of trapezium= 15 units
Area of trapezium
= ½(30 +60)(15)
= 675 units²
Thus, the distance travelled is 675m.
c) Avg speed= total distance ÷ total time
From part b, we know that the total distance travelled is 675m. The total time is 60s since the graph is from t=0 to t=60.
Hence, average speed
= 675 ÷60
= 11.25 m/s
Can someone please help me with this
Answers
Answer:
The second one. -0,55 > -0.8
Step-by-step explanation:
The point in the right is -0.55, the other one (left) is -0.8. -0.55 is greater than -0.8.
plzzzzzzzzzz simplifiy a^2 ⋅ a^m
Answers
Answer:
a^(2+m)
Step-by-step explanation:
We can simply add the exponents together because they have the same base which will give us a^(2 + m).
Answer:
a^[2+m]
Step-by-step explanation:
When multiplying two polynomials with the same base but different exponents, we add the exponents because
a^m*a^n
= a^m+n
So,
a^2*a^m
= a^2+m
Since it can't be solved anymore this is the simplest form
Explain how to find the other leg if the hypotenuse is 25cm and one leg measures 7 cm.
Answers
______________________________
The other leg equals 24 cm
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
___________________________.
Work must be shown for this problem! The figure shown below is a rectangle. Give the angle value (numerical, not the letters).
Answers
Answer:
58 degrees
Step-by-step explanation:
In a rectangle, the two diagonals form four isosceles triangles. This means triangle EBC is isosceles. In an isosceles triangle, the two base angles are the same. So, angles EBC and BCE are both 61. Now, in a triangle, the three angles add up to 180. So, 61+61=122, and to find angle CEB you need to subtract 180-122. 180-122=58 degrees.
Answer:
58°
Step-by-step explanation:
to find m∠CEB
triangle CEB is formed by the two parts of rectangle diagonals (and BC), and as we know, diagonals bisect each other, thus EB is congruent to EC, and it is an isosceles triangle
We also know that angles opposite congruent sides are congruent, thus,
angles EBC and ECB are congruent
thus angle ECB= 61°
We know that the inner angle measures of a triangle according to Angle Sum Theorem add up to 180°
Thus,m angle EBC + m angle ECB + m angle CEB= 180
Now we know that both EBC and ECB are angles with the measure of 61 °, so lets put the measures in instead of angles into the equation
61+61+m angle CEB=180
122 + m angle CEB =180
m angle CEB=180-122
m angle CEB=58°
Solve the equation using square roots.
[tex]4x^{2} +9=0[/tex]
Answers
Isolating the variable terms and dividing by 4, we have [tex]x^2=-\frac{9}{4}.[/tex] Taking the square root, we have [tex]\boxed{x=\frac{3i}{2},-\frac{3i}{2}}.[/tex]
what is the base plan for the set of stacked cubes?
Answers
Answer:
i think it is the 3 one from the left side
Step-by-step explanation:
Which of these expressions can be used to calculate the monthly payment for
a 30-year loan for $190,000 at 11.4% interest, compounded monthly?
??
Answers
Answer:
$1,867.07 monthly payment
Step-by-step explanation:
1. Define variables to calculate the monthly payment for loans, using:
A = total loan amount (how much you borrow)
R = annual interest rate (in %)
N = number of payments per year
2. Use this formula to calculate monthly payment (M):
[tex]M = A* \frac{R}{N}[/tex]
3. Substitute variables with values from excercise as below (11.4% = 0.114):
[tex]M = 190000 * \frac{0.114}{12} = 1867.07[/tex]
4. The calculated result is a monthly payment installment in given currency (in this case $)
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
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Which is the correct equation?
A. (x-3)2 + (y + 2)2 = 52
B. x2 + y2= 50
C. (x - 2)2 + (y - 3)2 = 50
D.(x - 3)2 + (x - 2)2 = = 50
Please show you work this out! Thank you
Answers
Answer:
A.Because ,center is (3,2)and point is (-2-3) .
and answer is (x-3)2+(y+2)2=52.
The area of a rectangle is equal to its length times its width. If the area of a rectangle
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Answers
Answer:
one option could be : 7x+21 and 2
If the two triangles shown are similar (i.e. their
sides are proportional), what is the length of the
side labeled x?
Answers
Answer:
12 cm
Step-by-step explanation:
x/36=5/15
x=36/3
x=12 cm
Answer:
x = 12
Step-by-step explanation:
As you can see here, the sides are proportional to each other. You can use ratios in order to find x.
15:5 = 36:x
Write the following as an inequality.
- 2 is less than w, and 6 is greater than or equal to w
Use w only once in your inequality.
Answers
Answer:
-2 < w ≤ 6
Step-by-step explanation:
The inequalities you're asked to combine are ...
-2 < w
6 ≥ w
Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...
-2 < w
w ≤ 6
You combine these by putting w in the middle:
-2 < w ≤ 6
_____
Alternate solution
I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...
6 ≥ w > -2
Jillian calculates that see will take 95 minutes to run 7 miles. She runs the distance in 80 minutes. What is Jillian’s percent error?
Answers
Answer:
Kawaii, the problem is the comparison with the calculated time for Jillian and the actual time for Jillian to run the 7 miles.
%error=(calculated value - experiemental value)/calculated * 100%
%error=(95-80)/95*100%=15/95 *100% = 15.79 ≈ 16% error
Note: 16% error is the approximate error because the numbers have 2 significant figures stated in the problem.
Step-by-step explanation:
For what values of x and y are the triangles to the right congruent by HL?
Answers
What is the Lowest Common Denominator between 3m/m+n and 3n/m-n
Answers
Answer:
Step-by-step explanation:
Denominators (m +n) & (m- n) doesn't have any common factors.
So to find the lowest common denominator, multiply them
LCD = (m+n) (m-n)
what is the surface area of the given figure?
Answers
What are the opposites of 9, −3.6, 2.25, and 9 1 2 ? Enter the answers in respective order, each separated by comma.
Answers
Answer:
The opposite of 9 is -9, -3.6 is 3.6, 2.25 is -2.25,
Step-by-step explanation:
Solve the system of equations:
y = 2x – 2
y = x2 – x – 6
A. (–2, 0) and (3, 0)
B. (–1, –5) and (4, 2)
C. (–1, –4) and (4, 6)
D. (0, –2) and (2, 2)
Answers
Answer: C. (-1, -4) and (4, 6)
Step-by-step explanation:
What type of angle is in the picture? (plz answer fast)
Answers
Answer:
right angle
Step-by-step explanation:
the square in the corner means it is 90 degrees, making it a right angle
A calendar shop has 5,624 calendars. Each rack can hold 38 calendars. How many racks does the store need to use?
Answers
Answer:
You would need 148 racks
Step-by-step explanation:
5,624 divided by 38 = 148
Many individuals over the age of 40 develop intolerance for milk and milk-based products. A
dairy has developed a line of lactose-free products that are more tolerable to such individuals. To
assess the potential market for these products, the dairy commissioned a market research study of individuals over 40 years old in its sales area. A random sample of 250 individuals showed that 86 of them suffer from milk intolerance. Based on the sample results, calculate a 90% confidence
interval for the population proportion that suffers milk intolerance. Interpret this confidence interval.
a) First, show that it is okay to use the 1-proportion z-interval. (Assumptions)
b) calcuate by hand a 90% confidence interval (use the formula)
c) provide an interpretation (conclusion)
d) if the level of confidence was 95% instead of 90% would the resulting interval be narrower or wider? explain. (show your computation before your explanation)
e) if the researchers were interested in the 90% interval with the 3% margin of error what size sample would they require?
f) verify your 90% confidence interval using your calculator.
Answers
Answer:
p = 86/250 = 0.344
z_c = 1.65 at 90% confidence.
margin of error, E = sqrt(pq/n)*z_c
= sqrt(0.344*(1-0.344)/250)*1.65
= 0.0496
90% CI = (p -E , p + E)
= (0.344 - 0.0496 , 0.344 + 0.0496)
= (0.2944, 0.3936) (Ans.)
Step-by-step explanation:
Help me with thisss please its timed!!! i need help
Answers
(2x+10)°+(4x+20)°= 180° ( linear pair)
2x+10+4x+20=180
=6x+30=180 6x=180-30
6x=150
x= 150/6= 25
x=25
2x+10=50+10=60
4x+20=100+20=120
we can check if we did correct if the angles add up to 180 as they are a linear pair
I’m stuck on this can someone help?
Answers
Answer:
13
Step-by-step explanation:
f(10)=10/2+8
f(10)=5+8
f(10)=13
Hey there!
Answer:
f(x) = 13 when x = 10.
Step-by-step explanation:
To find f(x) when x = 10, simply substitute '10' for 'x'.
[tex]f(x) = \frac{x}{2} + 8[/tex]
Subsitute in '10' for 'x':
[tex]f(10) = \frac{10}{2} + 8[/tex]
Simplify:
[tex]f(10) = 5 + 8[/tex]
[tex]f(10) = 13[/tex]
Therefore, f(x) = 13 when x = 10.
What is the excluded value?
0
1/2
1
Answers
Answer:
excluded value is 1/2
Step-by-step explanation:
The excluded value is the value when the denominator is equal to zero
1 -2x =0
Subtract 1 from each side
-2x = -1
Divide by -2
-2x/-2 = -1/-2
x = 1/2
The excluded value is 1/2
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening?
Answers
Answer:
50% if your looking at %
Find the volume of the pyramid.
Answers
Answer:
The answer is 112 ft squared
Step-by-step explanation:
Create an inequality that represents the verbal description below.
The product of ten and a number is greater than the difference of four times the number and two.
Answers
Answer:
10*x > 4x-2
Step-by-step explanation:
Following the instructions we get the above inequality.
Answer:
10x > 4-2
Step-by-step explanation:
I need help with this.
Answers
Answer:
A.
Step-by-step explanation:
for a single element of x there is an element in y, so observing we see that no number is repeated in the ordinate x of the coordinates
