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.
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If a car can travel 192 miles when its gas tank is 75% full, then how far can it travel at the same mileage rate on a full tank?
Answer:
256 miles
Step-by-step explanation:
192/0.75 = 256 miles
Mark brainliest if this helped
Mark brainliest if this helped
Otter Experience Boat Tours counted how many otters were seen on their recent tours. 17 otters were seen on Wednesday, 20 on Thursday, 19 on Friday, 29 on Saturday, and 31 on Sunday. Find the mean number of otters. otters
Answer:
23.2
Step-by-step explanation:
17+20+19+29+31 = 116
116/5 = 23.2 otters seen per day on average.
Answer:
23.2
Step-by-step explanation:
There are 300 students in the 9th grade and each student is assigned a locker. The 300 students start down the hall one at a time. The first student opens every locker. The second student closes all the lockers that are multiples of 2. The third student changes the lockers that are multiples of 3 (which means if a locker is closed, they open it. If the locker is open, they close it.) The fourth student changes all the lockers that are multiples of 4. This continues until the 300th student changes the 300th locker. Then, the principal walks down the hall, and changes all the lockers that are prime numbers. At the end, how many lockers will be closed?
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289
Step-by-step explanation:
The pattern will lead to the answer being all the perfect squares from 1 to 300.
What is the remainder when 3 is synthetically divided into the polynomial
-2x + 7x - 9?
Answer:-6
Step-by-step explanation:maybe
Evaluate the expression for a = 2, b = 3, and c = 6.
bc + 4a =
Answer:
26
Step-by-step explanation:
bc + 4a =
3×6 + 4×2 = 26
What is the value of 0.75–0.5? Write your answer as a fraction in lowest terms.
the answer is 1/5 thanks :v
The value of the given expression of subtraction 0.75–0.5, in simplest fractional form is 1/4.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
The given expression is:
0.75–0.5
After removing the decimal it can be written as,
75/100 - 5/10
Now simplifying it, we get
(75-50)/100 = 25/100
Now convert 25/100 in their simplest form:
Since 25x4 = 100
Therefore,
25/100 = 1/4
Hence,
The simplest fractional value of 0.75–0.5 is 1/4.
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HELP ASAP!! - Natalie is working two summer jobs, making $7 per hour babysitting and making $11 per hour clearing tables. In a given week, she can work a maximum of 16 total hours and must earn at least $140. If Natalie worked 11 hours clearing tables, determine the minimum number of whole hours babysitting that she must work to meet her requirements.
please help me SLOVE PROBLEM 4 PLEASE
Answer:
Simone is hiking at a faster rate.
y = 100(1.25)
A. Does this function represent exponential
growth or exponential decay?
B. What is your initial value?
C. What is the rate of growth or rate of decay?
help me pls
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answer:
Sin(A)= [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
if you memorize the acronym SOH-CAH-TOA (Sin opposite/hypotenuse - cosine adjacent/hypotenuse - tangent opposite/adjacent)
you can easily find the answer
since we are working with sin we're gonna use SOH
we have
Sin(A) = [tex]\frac{12}{37}[/tex]
hope it helps!
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What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?
Please no links:)
Answer:
x = -1
Step-by-step explanation:
Slope = (6-3)/(-1- (-1)
= 3 / 0
- so the line is vertical.
- and as it passes through x axis at x = -1, the answer is x = -1.
Your computer password contains six characters. Each character is either a number or a letter. How many different passwords are possible? If letters are case sensitive, how many passwords are possible?
Answer:
216
Step-by-step explanation:
There are 26 letters in the alphabet and 10 numbers on a keyboard, add them together 26 + 10 = 36, multiply that by 6 because 6 is the maximum amount of characters, 36 x 6 = 216
Alisha hiked a trail that was 9/10 mile and Joseph hiked a trail that was 5/10 mile. How much farther did Alisha hike than Joseph?
Answer:
4/10 or 2/5 of a mile more.
Step-by-step explanation:
Since the denominators are the same, all you have to do is subtract the numerators.
9-5=10.
Therefore, Alisha hiked 2/5 of a mile further than Joseph.
[tex](5 \sqrt{3} ) {}^{2} + 5 { }^{2} = x {}^{2} [/tex]
Please help me with this homework
Answer:
15 ft
a^2+b^2=c^2
please help do today
—
identify the graph of the system of linear inequalities
y<-2
y>2
Graph the inequality.
-5x + 2y<2
A rectangle and a parallelogram have the same base and the same height.
Use the drop‐down menu to compare the areas of the two figures.
The area of the rectangle is
Choose...
the area of the parallelogram.
choices Are
Less than
equal to
greater than
Answer:
Step-by-step explanation:
The areas of the two figures are the same.
I will give brainliest please help
Answer:
x^5y^5
Step-by-step explanation:
here's your solution
=> if base are same then power get added in multiplication
=> so, x^2 * y^4 * x^3 * y^1
=> x^2 * x^3 * y^4 * y^1
=> x^5*y^5
hope it helps
Find the valué of x.
Which is the answer?
A.25
B.34
C.27
D.28
Please help:(
Answer:
c. 27
Step-by-step explanation:
5x = 135. because they are corresponding angles
5x = 135
x = 135/5
x = 27
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
100°+34°+x°=180°
134°+x°=180°
x°=180°-134°
x°=47°
Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?
g/4 -5 = 1
i need help
Answer:
g=24
Step-by-step explanation:
g/4 -5 = 1
g/4 = 6
g = 24
Answer:
[tex]g=24[/tex]
Step-by-step explanation:
When given the following equation,
[tex]\frac{g}{4}-5 = 1[/tex]
Solve for the variable (g) using inverse operations,
[tex]\frac{g}{4}-5=1[/tex]
Add (5) to both sides
[tex]\frac{g}{4}=6[/tex]
Multiply both sides by (4)
[tex]g=24[/tex]
Solve the equation. Be sure to check for extraneous solutions
1.√x+5=12
Answer: 45
Step-by-step explanation:
Answer:
So lets do this the ole fashion way the simple ole 1-step equation
Step-by-step explanation
x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........
x=7
I think
explain why a triangle can't have two right angles
Answer: They would be a rectangle.
Step-by-step explanation:
2 right angles need at least 4 sides, making it impossible to have a 3-sided 2 right angle triangle.
Find the solutions of 5x^2 -20x +20= 0
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
5(2)²-20(2)+20=0
20-40+20=0
0=0
solve for 'x' given that;
3 sin( 3x-20°) = 2 for 0° ≤ x ≤ 180°
Answer:
x ≈ 20.6°
Step-by-step explanation:
3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →
x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°
x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°
ø = pie/6 radians. identify the terminal point and tan ø
Answer:
Terminal point: (√3/2, 1/2); tan θ = √3/3
Step-by-step explanation:
The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
θ = π/6
Taking tan on both sides:
tanθ = tanπ/6 = 1/√3 = √3/3
Terminal points:
= (cosπ/6, sinπ/6)
= (√3/2, 1/2)
Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
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what are the factors of -9 that have a sum of 0
Answer:
3 and -3
Step-by-step explanation:
+3 -3 =0
sum mean adding
A donation center has 44 small bins with 24 caned food in them they wanna give each food bank the same amount of food there are 4 food banks
Complete question :
A donation center has 44 small bins with 24 caned food in them they wanna give each food bank the same amount of food there are 4 food banks. How many cans should they give to each food bank?
Answer:
264 cans
Step-by-step explanation:
Number of bins = 44
Number of canned food per bin = 24
Total number of canned foods = (number of bins * number of canned food per bin)
Total number of canned foods = 44 * 24 = 1056
Food is to be distributed equally among 4 banks :
Number of food per bank = 1056 / 4 = 264