Answer:
15.6 ft
Step-by-step explanation:
Let's call
a: distance from the top of the ladder to the ground = 10 ftb: distance from the bottom of the ladder to the bottom of the slide = 12 ftc: length of the slideFrom Pythagorean theorem:
c² = a² + b²
c = √(10² + 12²)
c = 15.6 ft
The length of the slide, which forms the hypotenuse of a right-angled triangle with the ground, is approximately 15.6 feet to the nearest tenth of a foot when calculated using the Pythagorean Theorem.
Explanation:The question involves finding the length of a slide (hypotenuse) when its ladder and the ground form a right-angled triangle. The top of the ladder is 10 feet above the ground (opposite side), and the bottom of the ladder is 12 feet away from the bottom of the slide (adjacent side). We will use the Pythagorean Theorem to solve for the slide's length, which is represented by the equation a² + b² = c², where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.
is axis of symmetry and vertex the same thing?
Answer:
No, not exactly. But they do cross the same point
Step-by-step explanation:
Basically, the axis of symmetry is a line that runs through the vertex,
The vertex is a single point on the line,
They both mark the graphs turning point though!
Find m<1
Please please
Answer:
it should equal 68 degrees.
Step-by-step explanation:
if you are looking for the value of m<1, you would first need to find the value of the missing angle on the left triangle. the angles in triangles are equal to 180 degrees, so the equation would be 180 = 50 + 80 + x, and x = 50.
Then move to the middle triangle. The angle you solved for has an angle "connected" to it, its vertical pair, which also equals 50. Then you solve for the last angle, the angle on the right. 180 = 50 + 62 + x, and x = 68.
m<1 is equal to its vertical angle, which is the angle you just solved for. its value should be 68 degrees.
if that wasn't what you were looking for, sorry. hope this helped :)
Which trend line properly describes the data relationship in the scatter plot
Answer:
1st one
Step-by-step explanation: The line is the average of all the dots
Answer:
B
Step-by-step explanation:
Got it right
PLEASE ANSWER Which of the following is not a step necessary to create a triangle from three given sides?
Draw the remaining sides of the triangle by connecting the endpoints of the segments with the intersection point of the circles.
Measure the final angle formed. Ensure it is greater than 90°.
Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths.
Draw a segment with one of the given lengths.
Answer:
"Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths." is not necessary to create a triangle
Step-by-step explanation:
14 subtracted from a number, divided by 3, equals -8. Just write the equation if you want plzzzz
Huh, alright?
The equation would be (n - 14) / 3 = -8
Hope that helps! :)
4(1 + 9x)
i need assistance!
Answer:
4+36x
Step-by-step explanation:
Use the distributive property to multiply the equation. 1 times 4 is 4. 9 times 4 is 36 and you must leave the x as a variable.
When b > 1, as x grows in the negative direction, y______ . When 0 < b < 1, as x grows in the negative direction, y_____ .
Answer:
decrease, increase.
Step-by-step explanation:
will give first person who answers this correctly Brainiest!!!!
Melisa has recently inherited $15,000 that she wants to deposit into a savings account for 10 years. She has determined that her two best bets are an account that compounds annually at a rate of 3.95% and an account that compounds continuously at an annual
rate of 3.85%. How much interest could Melisa gain after 10 years if she chooses the 3.85% account?
A. $22,097.15
B. $22,044.21
C. $7,097.15
D. $7,044.21
E. None of them
She will gain $ 6885.4896 after 10 years if she chooses 3.85% account.
Step-by-step explanation:
Given,
Principle (P) = $ 15000
Time (T) = 10 years
Rate of interest (R) = 3.85%
To find the compound interest.
Formula
CI = [tex]P(1+\frac{R}{100} )^{T}-P[/tex]-P
Putting the values we get,
CI = [tex]15000(1+\frac{3.85}{100} )^{10}-15000[/tex]
= 21885.4896-15000
= 6885.4896
Hence,
She will gain $ 6885.4896.
You are working as a car salesperson at a motor shop. You earn a 2% commission on every car sale, in addition to your wage of $20 an hour. After a 8 hour day, your car sales totaled to $25,000. What are your total earning for that day? (Show Work.)
A: 500
B: 160
C: 660
Answer:
660
Step-by-step explanation:
20 * 8 = 160
25,000 * 2% = 500
500 + 160 = 660
Therefore your answer is 660
Any help appreciated
Answer:
2677
Step-by-step explanation:
Let's make this easier first of all:
a^2-y^3(a-y^2)y^2
a^2-y^5(a-y^2)
a^2-ay^5+y^7
(-2)^2-(-2)(3)^5+3^7
4-(-2*243)+2187
4-(-486)+2187
4+486+2187
490+2187
2677
Answer:
2677
Step-by-step explanation:
a² - y⁵(a - y)²
(-2)² - (3⁵)(-2 - 3²)
4 - (243)(-11)
2677
A see-saw is 25 feet long with a fulcrum in the middle of the board. If a 60 lb. child sits three feet from the fulcrum, what is the lowest weight that will lift the child?
Answer:
14.4 lb
Step-by-step explanation:
In a see-saw in equilibrium, the torque generated by one side needs to be the same generated in the other side. The torque is calculated by the product between the mass and the distance to the center of the see-saw.
The torque generated by the child is:
T1 = 60 * 3 = 180 lb*feet
So, the torque generated by the weight needs to be higher than T1 in order to lift the child.
The lowest mass is calculated when the mass is in the maximum distance, that is, 12.5 feet from the center.
So, we have that:
T2 = 180 = mass * 12.5
mass = 180/12.5 = 14.4 lb
So the lowest weight is 14.4 lb
The concept of leverage acting through a see-saw requires a balancing of forces on either side of the fulcrum. By calculating the torque from the child's weight and distance from the fulcrum, we can estimate the minimal weight needed on the other side to lift the child. The answer is approximately 14.4 lbs when placed 12.5 feet from the fulcrum.
Explanation:The concept being explored here is leverage, specifically in the context of a see-saw. The see-saw operates on the principle of a basic lever where the two sides are balanced around a pivot point known as the fulcrum.
The input force, or effort, is defined by the weight of the child and the distance from the fulcrum they are sitting, while the output force, or resistance, is the weight needed on the other side to lift the child off the ground.
Here's how you calculate it: the child's weight of 60 lbs is 3ft from the fulcrum. So, the torque, or turning force, created by the child is 60lbs x 3ft = 180 lb-ft. Since we're looking for balance, the weight needed to lift the child would produce the same amount of torque. Technically, that could be achieved with a number of combinations of weight and distance, but given that the question asks for the smallest weight, the weight needs to be placed at the furthest available distance from the fulcrum, which would be half the length of the see-saw (12.5 feet). So, the weight would be 180 lb-ft / 12.5 ft = 14.4 lbs.
Learn more about leverage here:https://brainly.com/question/33088040
#SPJ3
Assume that y varies inversely with x. If y = 4 when x = 4, find y = when x = 2.
y = [?]
Answer: Y=8
Step-by-step explanation:
Final answer:
To find the new value of y when x = 2 and knowing that y varies inversely with x, we first calculate the constant of variation k with the given values and then apply it to find the new y value, resulting in y = 8.
Explanation:
To solve the problem where y varies inversely with x, we use the inverse variation formula, which is y = k/x, where k is the constant of variation. First, we will find the value of k using the given values of y and x when y = 4 and x = 4.
Using the formula and substituting the known values:
k = xy = 4 × 4 = 16
Now, using k and solving for y when x = 2:
y = k/x = 16/2 = 8
Therefore, when x = 2, y = 8.
If cot O= 12/5, find tan O
Answer: Tan O= 5/12
Step-by-step explanation:
Cot O=12/5
Looking at the pythagoras theory
Cot= 1/tan
So
Cot O=1/tango
Cross multiply
CotO tan O=1
Make tan the subject of formula
TanO= 1/Cot O
Cot O=12/5
Substitute for cot O
Tan O= 1/12/5
Tan O= 5/12
The measure of central angle YCZ is 80 degrees.
What is the sum of the areas of the two shaded sectors?
O 187 units
O 367 units
O 451 units
O 81 units
800
Answer:36 units2
Step-by-step explanation:
Took the testc
The sum of the areas of the two shaded sectors is 36 π units²
What are sectors in a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii.
Given that a circle, with central angle 80° and the radius is 9 units
So, area of a sector = θ/360° x π x radius², where θ = central angle
Since, both the sectors are vertically opposite to each other so will same areas,
Therefore, the area of the two shaded sectors,
= 2θ/360° x π x radius²
= 2·80/360 × π × 9²
= 4/9 × π × 81
= 36π
Hence, the sum of the areas of the two shaded sectors is 36 π units²
Learn more about sectors, click;
https://brainly.com/question/15591260
#SPJ7
The complete question is attached
64.08 Round to the nearest hundredth
Answer: 64.08
Step-by-step explanation:
Since the 8 is in the hundredth place and there's no thousandths place the number doesn't change leaving u with 64.08
I need help with this problem
Answer:
easy so first 190-15=175 175 lbs. is the light heavyweight class weight limit
Step-by-step explanation:
What is the greatest common factor of 3x4, 15x3, and 21x??
Answer:
The GCF of 3x^4, 15x^3 and 21x is 3x^2
Step-by-step explanation:
3x^2(x^2), 3x^2(5x) , 3x^2(7)
Answer:
3
Step-by-step explanation:
3*4=12
15*3=45
21x= 7*3*x
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Answer:
Expression: 12/(3*4)
Answer: 1
Step-by-step explanation:
[tex]\frac{12}{3*4} \\[/tex]
[tex]\frac{12}{12}=1[/tex]
Final answer:
The phrase 'the quotient of 12 and the product of 3 and 4' translates to the algebraic expression 12 ÷ (3 × 4), which simplifies to 1.
Explanation:
To translate the given phrase into an algebraic expression, we need to understand the terms used. The phrase is 'the quotient of 12 and the product of 3 and 4'. A 'quotient' is the result of division, and a 'product' is the result of multiplication. First, let's find the product of 3 and 4, which is 3 × 4. This equals 12. Now, we take the quotient of 12 by that product, which means we divide 12 by 12. So, the algebraic expression is 12 ÷ (3 × 4).
When we simplify this expression, since 3 × 4 equals 12, and 12 divided by 12 is 1, the expression simplifies to 1. Therefore, the simplified algebraic expression for the phrase 'the quotient of 12 and the product of 3 and 4' is 1.
57:46
Which lists three living units of the human body in order from the simplest to the most complex level of organization?
Answer:
cells bacteria enzymes
Step-by-step explanation:
what is the value of x? round to the nearest hundredths place:
0.45(x + 1.6) + 5x = 18
Answer:
3.600
Step-by-step explanation:
0.25(x+1.6)+5x=18
Open the bracket first
0.25x+0.72+5x=18
Collect like terms
0.25x+5x=18-0.72
5.25x=18.72
Divide both sides by 5.25
x=3.566~3.600(nearest hundredth)
Answer:
x ≈ 3.2
Step-by-step explanation:
0.45(x + 1.6) + 5x = 18
45/100(x + 16/10) + 5x = 18
¹⁰⁾45x/100 + 720/1000 + ¹⁰⁰⁰⁾5x = ¹⁰⁰⁰⁾18
450x + 720 + 5000x = 18000
5450x = 18000 - 720
5450x = 17280
x = 17280/5450
x = 3.17
x ≈ 3.2
What’s the answer????
Answer:
20
Step-by-step explanation:
Linda is throwing a party. She needs 3 liters of soda for every 12 guests. If there are 48 guests attending the party, how many liters of soda will she need?
Answer:She would need 144 liters of soda
Step-by-step explanation:
Answer:
12 liters
Step-by-step explanation:
Since she needs three liters for every 12 guests, and there are 48 guests, we should see how many times 12 goes into 48:
48/12 = 4
Therefore, you need to multiply the amount needed for 12 guests by four:
3 x 4 = 12
You need 12 liters.
Use the table to find the slope.
-2
2
1/2
-1/2
Based on the table of values, the slope of the points is equal to: B. 2.
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
Based on the information provided, we can logically deduce that some of the points are as follows;
Points = (3, 3) and (4, 5)
By substituting the given data points (3, 3) and (4, 5) into the formula for the slope of a line, we have the following:
Slope (m) = (5 - 3)/(4 - 3)
Slope (m) = 2
In conclusion, we can logically deduce that the slope of the points is equal to 2 based on the table of values.
Complete Question:
Use the table to find the slope.
-2
2
1/2
-1/2
5+4q=6+3q
Solve for q.
Answer:
q=1
Step-by-step explanation:
5+4q=6+3q
subtract 3q on both sides
5+q=6
subtract 5 on both sides
q=1
BRANLIEST PLZ!!!!
Answer:
q=1
Step-by-step explanation:
5+4q=6+3q
-3q -3q
5+q=6
-5 -5
q=1
a set of symbols that expresses a mathematical rule is called a
A set of symbols that expresses a mathematical rule is called a formula.
What are mathematical symbols?A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Given is a definition as -
"A set of symbols that expresses a mathematical rule is called a ?".
A set of symbols that expresses a mathematical rule is called a formula.In mathematics, a formula is a fact, rule, or principle that is expressed in terms of mathematical symbols. Examples of formulas include equations, equalities, identities, inequalities, and asymptotic expressions.Therefore, a set of symbols that expresses a mathematical rule is called a formula.
To solve more questions on math formulas, visit the link below -
https://brainly.com/question/30098455
#SPJ2
Final answer:
A set of symbols expressing a mathematical rule is called a mathematical model or equation, using variables and relationships to define concepts such as a set or a group in group theory.
Explanation:
A set of symbols that expresses a mathematical rule is often referred to as a mathematical model or equation. These models are essential for describing phenomena in a precise and universal language that transcends natural language, allowing for consistent replication and understanding across various fields of study. In mathematics, we use variables like x, y, or n and symbols to create equations which express relationships or rules. For example, to define a set of all even numbers, we could write the rule as the set of all real numbers x such that x/2 is an integer. This uses the structure of the equation to convey the membership rule for the set, which in this context would be described by the notation '{x : x/2 is an integer}' where the colon represents 'such that'.
Furthermore, when these symbols and rules are organized into a specific system with defined properties, such as closure, identity, inverses, and associativity, they can form a group, which is a fundamental concept in group theory.
Num supermercado, 200g de queijo e 300g de presunto custam juntos R$ 9,00. Renan resolveu comprar 400g de queijo e 400g de presunto e pagou R$ 14,00. Qual o preço, em reais, do quilograma do presunto?
(A) 1,50 (B) 2,00 (C) 14,00 (D) 15,00 (E) 20,00
A commuter airline files a new route between two cities that are 400
kilometers apart. One of the two cities is 200 kilometers from a third
city. The other one of the two cities is 300 kilometers from the third
city. Do the paths between the three cities form a right triangle?
Using the Pythagorean theorem, it is determined that the paths between the three cities, given their distances of 200 km, 300 km, and 400 km, do not form a right triangle because the sum of the squares of the shorter distances does not equal the square of the longest distance.
Explanation:To determine if the paths between the three cities form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
The equation is a² + b² = c².
According to the provided distances, one city is 200 kilometers (a) from a third city, and the other city is 300 kilometers (b) from the third city.
The two original cities are 400 kilometers (c) apart.
Plugging these numbers into the Pythagorean theorem:
Since a² + b² does not equal c² (130000 ≠ 160000), the paths do not form a right triangle.
Plz help me I will give you brainliest
The answer for this question is C
Answer:
I believe the answer is 12 hours long all year seen a diagram of the earths axis over all the year
Step-by-step explanation:
While driving to the store, your vehicle traveled 30 miles. While you we traveling, your vehicle traveled at an average speed of 15 miles per hour due to traffic. How long did it take you to get to the store? Calculating Time.
Whoever answers correctly gets marked brainliest :)
Answer:
2 hours
Step-by-step explanation:
30 miles/x hours = 15 miles/1 hour
30 = 15x
x = 2 hours
To find the time it took to get to the store, divide the distance traveled (30 miles) by the average speed (15 mph), which results in 2 hours. Thus, the trip took 2 hours.
To calculate the time it took to get to the store, we can use the formula time = distance ÷ speed. In this case, the vehicle traveled 30 miles at an average speed of 15 miles per hour. Therefore, the time can be calculated as follows:
Time = 30 miles ÷ 15 miles per hour = 2 hours.
So, it took 2 hours to get to the store.