The distance from point A to B is 1 foot.
Given,
There are 12 steps in the staircase.
We need to find the distance of the steps.
The distance is given by AB.
Feet is the plural form of the foot.
What is a Pythagorean theorem?It states that in a right-angle triangle the hypotenuse is equal to the squares of the other two sides.
If the hypotenuse is H and the other two sides are A and B.
H² = A² + B²
We have a figure,
Where it is in a right-angled triangle.
Two sides are given: 7.5 inches and 10 inches.
And hypotenuse = AB.
Applying the Pythagorean theorem.
7.5² + 10² = AB²
AB² = 56.25 + 100
AB² = 156.25
AB = [tex]\sqrt{156.25}[/tex]
AB = 12.5 inches
Now,
AB = 12.5 inches.
We need to convert it into feet.
12 inches =1 foot
Multiplying 12.5/12 on both sides.
12.5/12 x 12 inches = 12.5/12 x 1 feet
12.5 inches = 1.0416 feet
Rounding to the nearest tenth we get,
12.5 inches = 1 feet
AB = 1 feet
Thus the distance of the staircase from point A to B is 1 foot.
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
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Solve 6f-4g=1,6f-6g=5
Answer:
The solution is (-1/2, -2)
Step-by-step explanation:
Given 6f-4g=1,6f-6g=5, write these in columnar form:
6f-4g=1
6f-6g=5
Change all of the signs in the first equation:
-6f + 4g = -1
6f-6g=5
-------------------
-2g = 4, and so g = -2
Substituting -2 for g in either equation enables us to find f. Let's use the first equation: 6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3
Then f = -1/2 and g = -2. The solution is (-1/2, -2)
1/4-x<2x+1 what does x equal?
Answer:
Mark me as brainliest
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Please help me. 4^(x+1)+2^(x+1)+2^x-1=0
Answer:
x = -2Step-by-step explanation:
[tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex][tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]2ˣ = t4t² + 3t - 1 = 04t² + 4t - t - 1 = 04t(t + 1) - (t + 1) = 0(t + 1)(4t - 1) = 0t = -1 (discounted as 2ˣ can't be negative)t = 1/42ˣ = 1/42ˣ = 2⁻²x = -2PLEASE HELP ASAP!!!!!!!
Please show your work the answer is 80cm^2 I js need the work please will mark brainliest extra points
Answer:
30.1 ft²
Step-by-step explanation:
The area of a triangle with an included angle and two sides cam be found using the formula, A = ½*ab*sin(C)
a = 7 ft
b = 9 ft
C = 73°
Plug in the values
Area = ½*7*9*sin(73)
Area = 30.1235998 ≈ 30.1 ft² (nearest tenth)
Carmen had
of a spool of yarn. She used
of her yarn for a project. What fraction of the spool was used for the project?
Write your answer in simplest form.
it would depend how much you actually used, but you would take the amount you used and divide it by the total amount of yarn. so if the yarn was 4m long and you used 2m then it would be 2/4 which is 0.5 which is also 50%, so half the yarn was used.
Stephen, Gavin and Jim share some sweets in the ratio 1:4:4. Stephen gets 13 sweets. How many more sweets does Gavin get over Stephen?
Answer:
39
Step-by-step explanation:
1:4:4
13:52:52
52-13 = 39
A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870
A mortgage loan is termed as a loan that is used to purchase or maintain a home, land or other pieces of real estate.
The borrower agrees to repay the amount of loan to the lender over a period of time, usually in a series of regular installments divided into principal and interest. The property is used as security for the loan.
Calculation of the amount of mortgage is as follows:
[tex]\text{Interest}= \text{Mortgage amount} \times\frac{0.05}{12}\times3[/tex] = 1875
[tex]\text{Principal Pay }= 1000 \times3[/tex] = 3000
Total amount paid = Interest + principal pay = 1875 + 3000 = 4875
Initial balance = 150000
The remaining balance for the mortgage amount = initial balance - the total amount paid.
Amount of mortgage = $ 145125.
Therefore the closest to the mortgage balance after 3 months of payments is
(1) $145,165.
To know more about the calculation of the mortgage amount, refer to the link below:
https://brainly.com/question/24913140
Work out the difference in temperature between 1100 and 1500.
Answer:
400 degrees
Step-by-step explanation:
Difference
1500 - 1100 = 400 degrees difference
What are the x-coordinates of the solutions to this system of equations?
x2 + y² = 36
y = x - 6 (1 point)
Select one:
a. 2 and 0
b. 6 and 2
c. 6 and -2
d. 6 and 0
can someone help me plz
Answer:
9442 lb
Step-by-step explanation:
First find the volume of the tank. This being a sphere, the volume is V =(4/3)π·r³. Here the diameter is 17 ft, so the radius, r, is half that: 8.5 ft.
Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.
Water weighs 62.4 lb/ft³. To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:
×
(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb
I need this down thanks
Answer:
c
a
Step-by-step explanation:
Answer:
5. is C which is 9.
6. is B which is 37.
Step-by-step explanation:
The first on is C. 9 because to find the interquartile range you need to subtract the upper quartile range by the lower quartile range. The upper is 16 and the lower is 7 so you do 16-7 which is 9.
The last question is B. 37 because the lower quartile range is first line in the box plot which is 37.
please help me as quickly as possible, no links or scams, brainliest on the line!!
Lin ran 29 meters in 10 seconds. She ran at a constant speed.
How far did Lin run every second?
At this rate, how far can she run in 1 minute?
Answer:
Lin ran at 2.9 meters per second. She can run 174 meters in a minute (2.9 times 60)
Step-by-step explanation:
If she can run 2.9 meters in a second then when you times that by four you get how far she can run in a minute
What is the measure of Angle A?
A pentagon. Angle A is unknown, angle B is 70 degrees, angle C is 132 degrees, angle D is 132 degrees, angle E is 70 degrees.
_°
Answer:
136
Step-by-step explanation:
The sum of interior angles of a polygon is (n-2)x180 where n is the no. of sides. Here n=5 Therefore sum of int. angles = (3-2)x180= 3x180=540.
Sum of all given angles =404.
Remaining angle= 540-404=136
Answer:
136
Step-by-step explanation:
i just took the test
(this is 12 year old math) Good evening everyone
Answer:
22 11
Step-by-step explanation:
its a pattern if you look at the trend on the equation
Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track?
Answer:
4
Step-by-step explanation:
for every 400 meters aarav runs bahir runs 500
when bahir is at 2000 aarav is at 1600
Solve by using common denominators 2/1 divide 1/4
Answer:
8
Step-by-step explanation:
That'd be "2/1 divided by 1/4" and if we use common denominators we get:
2 8
----- = ----- divided by 1/4 comes out to 8/1, or just 8
1 4
PLEASE HELP IM TIMED ON THIS ! I NEED HELP ASAP!
Ans :
a^6 is ur answer
last question (arc length and area) thanks!!!
Answer:
[tex]m\angle ABC=60\textdegree[/tex]
Step-by-step explanation:
[tex]m\angle ABC=360-90-90-m\angle AOC\\=180-120\\=60\textdegree[/tex]
Help me with this please!!!!!!
Answer:
V = (4, 4 )
Step-by-step explanation:
Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M
let V = (x, y ) , W = (8, 6 ) , then
[tex]\frac{x+8}{2}[/tex] = 6 ( multiply both sides by 2 )
x + 8 = 12 ( subtract 8 from both sides )
x = 4
and
[tex]\frac{y+6}{2}[/tex] = 5 ( multiply both sides by 2 )
y + 6 = 10 ( subtract 6 from both sides )
y = 4
coordinates of V = (4, 4 )
A bank teller had 125 Bills in $10 and $20 bills to start the day. If the total in her register was $1650, how many of each bill did the teller start off with ?
Answer:
40 twenties and 85 tens
Step-by-step explanation:
10x+20y=1650
10x+10y=1250
10y=400
y=40
Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)
Given:
The expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
To find:
The terms and like terms in the expression.
Solution:
Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".
Like terms: The terms which contain same variables with same power are known as like terms.
The given expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
It can be rewritten as:
[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]
Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].
Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].
What is the exact distance from (-4, -2) to (3, 8) on the coordinate plane?
√37 units
√85 units
√101 units
√149 units
Answer:
√149 units
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[3 - (-4)]² + [8 - (-2)]²
√(7)² + (10)²
√49 + 100
√149
65.40/w=95/100
Solve for W
Answer:
w = 68.84
Step-by-step explanation:
cross-multiply:
95w = 6540
w = 6540/95
if Anna's grade is a D and she gets a D on her final what will her new grade be?
Answer:
D or an F depends on the grading system
Step-by-step explanation:
Help on this question please algebra
Answer:
5/3
Step-by-step explanation:
2(4x - 3) + x = 3(2x - 1) + 2
8x - 6 + x = 6x - 3 + 2
9x - 6 = 6x - 1
3x = 5
x = 5/3
Hi!! Please explain how you got the answer, thanks!! :))
Start out by finding the area of the square.
a = 4²
a = 16
Since all we have to look at is 1/4 of this square, multiply the area by 1/4.
(16)1/4
4
The area of the triangle is 4.
Now we need the area of the circle.
a = πr²
Sub: a = π(2)²
a = π(4)
Since the portion of the circle that covers the triangle is 1/4 of the circle, subtract 1/4 of the area of the circle from the area of the circle.
a = 4 - 1/4(π(4))
a = 4 - 1/4π x 1
a = 4 - 1/4π
Now this is where it's supposed to go, considering the fact that π isn't given a value.
Normally, I'd use 3.14 for π, as the entire population would, and then it would be easy, but obviously that isn't an option.
Now this answer isn't up there, so my best option is to tell you it's most likely c, and I hope I'm right.
Uhh good luck I guess this math test is weird
-Xax
I need help with these questions! My teacher didn’t teach me how to do these-
Answer:
Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions
Step-by-step explanation:
The height of a widescreen monitor is proportional to its length. The table lists the length, l, and the height, h, of a few widescreen monitors.
Which equation represents the proportional relationship between the lengths and heights of widescreen monitors?
PLZ I REALLY NEED HELP!
Answer: h= 9/16 length
Step-by-step explanation:
HELP ASAPPPP DUDE PLS PLS PLSSSSSS NOOO LINKS
Answer:
Step-by-step explanation:
use 25,000*(1-0.15)^8 = $ 6812.26