1) To the nearest tenth of a foot, what is the distance from the wall to
the base of the ladder?
A) 1.9 feet
B) 2.1 feet
C)45 feet
D) 10.7 feet
2) To the nearest tenth of a foot, what is the height at which the ladder
rests against the wall?
A) 2.1 feet
B) 3.7 feet
C) 45 feet
D) 10.7 feet
Answers
Answer:
1) B
2) 4.5 feet
Step-by-step explanation:
Please see the attached picture for the full solution.
Related Questions
What is the equation of the line that passes through the points (2, -4) and (-6, 6)?
Answers
Answer:
y = -5/4x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - (-4) / -6 - 2
10 / -8
= -5/4
-4 = -5/4(2) + b
-4 = -5/2 + b
-3/2
Brownies bake at 350 °F.
Convert that into K.
Answers
Answer: 89574.7223 K is the correct answer.
Step-by-step explanation:
By Formula ( 1 °F = 255.927778 K )
350 °F is
350 * 255.927778 = 89574.7223 K
Given the growth formula f(t) = 5(1.25)^x what is the growth rate?
Answers
The equation for growth is \(f(t) = 5. (1.25)\) x can be stated in the formula f(t) = abx, where a = 5 and b = \(1.25\) . The growth rate in this case is the value of b, which is the quantity by which the function increases over time.
What is the growth formula?The given growth formula is:
\(f(t) = 5(1.25)^t\)
Here, t represents time, and f(t) represents the value of the function at time t.
The growth rate of a function is the rate at which its value increases over time. In this case, the growth rate is determined by the base of the exponential function, which is 1.25. The base represents the factor by which the function grows at each time step.
The growth rate can be calculated as follows:
Growth rate = (1 + growth factor) - 1
where the growth factor is the factor by which the function grows at each time step, which in this case is \(1.25\) .
Therefore, the growth rate can be calculated as:
Growth rate \(= (1 + 1.25) - 1 = 0.25 or 25%\)
Therefore, the growth rate of the given function is \(25%.\)
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Suppose "n" can't equal 0 or 1. Show that substitution v=y^(1-n) transforms the Bernoulli equation dy/dx + P(x)y=Q(x)y^(n)into the linear equation dv/dx + (1-n)P(x)v(x)=(1-n)Q(x).
Answers
Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy
Step-by-step explanation:
Malik decides that he wants a good result on the state math test. He plans to study for at least 45 minutes three nights per week. Which expression represents Malik's study goal for each week?
Answers
Answer:
\(135<t_{minutes}\:<315\)
Step-by-step explanation:
Malik's goal is a minimum total of 135 (45 x 3) minutes per week, in three session of 45 minutes.
Notice that it is at least.
So He can do sessions from 3 , 4, 5, 6 up to 7 nights per week
Hence, we can write his goals in minutes per week:
\(G_{w}=3*45<t_{minutes}<7*45\\G_{w}=135<t_{minutes}<315\)
What is ANOVA in simple terms?
Answers
Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.
ANOVA is a statistical analysis technique that divides systematic components from random factors to account for the observed aggregate variability within a data set. The presented data set is statistically affected by systematic factors but not by random ones. The ANOVA test is used by analysts to evaluate the impact of independent factors on the dependent variable in a regression analysis.
Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.
A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
If no true variance exists between the groups, the ANOVA's F-ratio should equal close to 1.
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Sasha needs 1/4 cup of chocolate chips to make a batch cookies how many batches can she make with 2/4 cups of chocolate chips
Answers
Answer:
2 batches
Step-by-step explanation:
if you can make it with 1/4 chips, then if you have 2/4 then you can make 2 batches because its double.
Please help will mark brainliest
Answers
Answer:
A
Step-by-step explanation:
You need a 10% alcohol solution. On hand, you have a 120 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?A) Write an equation using the information as it is given above that can be used to solve this problem. Use x as your variable to represent the amount of pure water you need to use.Equation: ________ You will need ____mL of pure waterto obtain ____mL of the desired 10% solution.
Answers
Here the mixture (or solution) contains alcohol and water.
Given that you have 85% alcohol mixture. It means that each 1 mL of the mixture will contain 0.85 mL of alcohol, and the remaining 0.15 mL of pure water.
So the amount of alcohol in 120 mL of mixture is calculated as,
\(\begin{gathered} =120\times0.85 \\ =102 \end{gathered}\)When 'x' mL of pure water is added to the solution, the total amount of water in the mixture becomes,
\(\begin{gathered} =x+(120\times0.15) \\ =x+18 \end{gathered}\)Since no alcohol is added, the amount of alcohol in the final mixture will remain same, that is, 102 mL.
Now, it is given that the concentration of the final mixture is 10%, So the amount of alcohol in the solution should be 10% of the total mixture,
\(\begin{gathered} 0.10\times(x+18+102)=102 \\ x+120=\frac{102}{0.10} \\ x+120=1020 \\ x=1020-120 \\ x=900 \end{gathered}\)Thus, you need to add 900 mL of pure water in order to have 10% alcohol solution.
And the equation used to solve this problem is,
\(0.10\times(x+18)=102\)Given AB = CB and AD = CE prove DB = EB
Answers
Length DB is congruent to EB because triangle AEB = triangle CDB
What are Similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are equal.
Also the ratio of corresponding sides of similar triangles are equal. This means that for two triangles to be similar the corresponding angles must be equal.
Since AC = CB and the bisector AC and CB are AD and CE respectively. And this bisectors are also equal, automatically, the remaining sides will also be equal.
Therefore DB = EB
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How is the distributive property used to simplify the expression 5 + 2(c - 2)?
Answers
The following figures are not drawn to scale but AB and CD (if present) are straight lines. Find x
Rsm question and i have only 2 attempts!!!!
Answers
Answer:
x=45°
Step-by-step explanation:
A straight line is 180°. Since we have a 90° angle, and CD is a straight line, 90/2=45
45° is the answer.
Hope this explanation is understandable!
Hope this helps!
If not, I am sorry.
What is the solution to the system of equations?
y=0.7x−2
2x+y=25
(15, 8.5)
(10, 5)
(3, 0.1)
Answers
Answer:
b num i think only not sure
Solution to the system of equation y = 0.7x − 2 and 2x + y = 25 is (- 27, - 9).
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given are two equations y = 0.7x − 2 and 2x + y = 25.
Now let us write these equations in a similar manner.
y = 0.7x − 2 ⇒ - 0.7x + y = - 2...(i)
2x + y = 25...(ii)
Now subtracting eqn(i) from eqn(ii) to cancel out the term y we get
2.7x = - 27.
x = - 10 and substituting the value of x in any one of the equations we get
y = 0.7(-10) - 2.
y = - 7 - 2.
y = - 9.
So, one of the solutions to the system of equations is (- 27, - 9).
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Justify a Solution The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.
Answers
Step-by-step explanation:
Given the expression
\(-3m - [2m + (5 - m)] + 7\)
Step one
Firstly we have to open the inner bracket we have
\(-3m - [2m + 5 - m] + 7\)
Step two
we proceed further by opening up the next bracket we have
\(-3m - 2m -5 +m+ 7\)
Step three
we then have to collect like terms of m and rearrange.
\(=-3m - 2m+m -5+ 7\\=-4m+2\\=2-4m\)
please help, thank you!!
Answers
Answer:
D (4)
Step-by-step explanation:
So we have the function:
\(f(t)=3t^2+5t+6\)
And we want to find f(-3).
To do so, substitute -3 for x. Thus:
\(f(-3)=3(-3)^2+5(-3)+6\)
Square:
\(f(-3)=3(9)+5(-3)+6\)
Multiply:
\(f(-3)=27-15+6\)
Add:
\(f(-3)=18\)
So, our answer is D (4)
how would I go about Simplify 2⁵ ÷ 2³
Answers
Answer:
2^8
Step-by-step explanation:
Hallar el perímetro de la siguiente figura, si las medidas están en mm. A) 88mm B) 111mm C) 90mm D) 80mm E) 60mm
Answers
The perimeter of the given figure can be found by summing up the lengths of all its sides which will be 39mm.
The provided measurements for the sides are 10 mm, 10 mm, 8 mm, and 11 mm. To calculate the perimeter, we add these measurements together: 10 + 10 + 8 + 11 = 39 mm.
Therefore, the perimeter of the figure is 39 mm. None of the given options (A) 88 mm, (B) 111 mm, (C) 90 mm, (D) 80 mm, or (E) 60 mm matches the calculated perimeter. The correct answer is not provided among the given options.
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If you can’t see the awnswers is a: y=6x B: y=x+6 C: y=2x D: y=x+2
Answers
Answer:
I love miraculous!
Step-by-step explanation:
I love itttttt
Divide using long division and synthetic division. Write your a (2x^(3)+13x^(2)+11x+25)-:(x+6)
Answers
The quotient of the division is 2x² + x + 5 and the remainder is -5
How to divide the polynomialFrom the question, we have the following parameters that can be used in our computation:
2x³ + 13x² + 11x + 25 divided by x + 6
Using the long division method of quotient, we have
x + 6 | 2x³ + 13x² + 11x + 25
The division steps are as follows
2x² + x + 5
x + 6 | 2x³ + 13x² + 11x + 25
2x³ + 12x²
--------------------------------------------------------------
x² + 11x + 25
x² + 6x
--------------------------------------------------------------
5x + 25
5x + 30
--------------------------------------------------------------
-5
Hence, the quotient is 2x² + x + 5 and the remainder is -5
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Express in the form 1: n.
Give n as a decimal.
14:7
Answers
Answer:
1:2
Step-by-step explanation:
1:14/7
now I am divide
1:2
For the function g(x) = 4x – 48, find g(-4).-4.)(Enter your answer as Ø if the function does not have a value at x =Provide your answer below:g{ – 4)=
Answers
Solution:
Given:
\(g(x)=\sqrt[3]{4x-48}\)g(-4) means the value of g(x) when x = -4
Substituting x = -4 into the function,
\(\begin{gathered} g(x)=\sqrt[3]{4x-48} \\ g(-4)=\sqrt[3]{4(-4)_{}-48} \\ g(-4)=\sqrt[3]{-16_{}-48} \\ g(-4)=\sqrt[3]{-64} \\ g(-4)=-4 \end{gathered}\)Also, showing the function on a graph using a graph plotter, the function is as plotted below;
The point when x = -4 corresponds to y = -4
Therefore,
\(g(-4)=-4\)
what is the exact duplication of elements (shapes, forms, etc.) on either side of a central axis?
Answers
The exact duplication of elements on either side of a central axis is called symmetry. Symmetry refers to the property of an object or system where it exhibits a precise duplication of elements on either side of a central axis or plane.
This duplication can occur in various forms, such as shapes, patterns, or structures. Symmetry is a fundamental concept in mathematics, art, design, and science. It is often studied and utilized to create aesthetically pleasing compositions, identify patterns, and analyze the properties of objects.
Symmetry can be classified into different types, such as bilateral symmetry (reflectional symmetry) where the object is identical on both sides of a vertical axis, or radial symmetry where the object is identical around a central point.
The concept of symmetry plays a significant role in diverse fields, including geometry, biology, crystallography, and physics.
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The point (10, 10) is the midpoint of C and D. Given that the coordinates of C are (15, s) and the coordinates of D are (t, 3), solve for the values of the variables s and t. Show your work (HELP ME PLEASE)
Answers
Answer: T= 5 and s =17
Step-by-step explanation: Use the midpoint formula
Solve for T
^xm=^xC+^xD/2
15+t/2=10
15+t=20
Solve for S
^ym=^yC+^yD/2
s+3/2=10
s+3=20
ABC is an isosceles triangle in which ab and ac are equal if d is a the midpoint of BC prove that ABD=ADC
Answers
Answer:
Step-by-step explanation:
Given that,
ABC is an Isosceles triangle.
In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.
It is als given that D is the mid point of BC.
i.e., BD = CD
Therefore,
By SAS theorem of congruency of triangles,
ABD = ACD
If this is the answer required, hope it helps...
Katherine is checking the prices of two different catering companies for her wedding reception. Brenda's Bridal Catering charges $300 for a cake plus $18 per person. Sarah's Complete Catering charges $450 for a cake plus $15 per person. Katherine really likes the cake from Sarah's Complete Catering, so she wants to use that company for her reception. Which inequality can be used to find x, the maximum number of people she can invite to the reception so that the total charge from Sarah's Complete Catering is less than the total charge at Brenda's Bridal Catering?
Answers
Answer:
Maximum of 50 persons
Step-by-step explanation:
Straight line equation
let the total prices be y
and the number of persons be x
1. Brenda's Bridal Catering charges
the expression for the charges is
y=mx+c
y=18x+300---------------1
2. Sarah's Complete Catering charges
the expression for the charges is
y=mx+c
y=15x+450---------------2
equating 1 and 2 we can then solve for the number of guest as
18x+300=15x+450
18x-15x=450-300
3x=150
divide both sides by 3
x=150/3
x=50
x<=50
Therefore she can invite a maximum of 50 persons
Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?
Answers
Answer:
The probability of you winning is 1/3
No, it is not a fair game
Step-by-step explanation:
The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.
Please check attachment for this
Kindly note that the total number of possible outcomes is 36.
And in the attachment, sums which are divisible by 3 are circled.
The number of circles we can count is 12
Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3
Is it a fair game?
No, it is not
It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)
Do you know the answer to this question????
Answers
Answer: the answer should be 95
Step-by-step explanation:
Use The Compound Interest Formula \( A=P\Left(1+\Frac{R}{N}\Right)^{N T} \) To Solve. Round To Two Decimal Places. Find The Accumulated Value Of An Investment Of $ 20,000 At 6% Compounded Annually For 16 Years. A. $ 39,200.00 B. $ 38,000.00 C. $ 47,931.16 D. $50,807.04
Answers
The accumulated value of an investment of $20,000 at 6% compounded annually for 16 years is $50,807.04. The correct answer is D.
To find the accumulated value of an investment of $20,000 at 6% compounded annually for 16 years, we need to plug in the given values into the compound interest formula: A = P(1 + r/n)^nt
Given values:
P = $20,000 (principal amount)
R = 6% (annual interest rate)
N = 1 (number of times interest is compounded per year)
T = 16 (number of years)
Plugging in the given values into the formula:
A = 20000(1 + (0.06/1))^(1)(16)
Simplifying the equation:
A = 20000(1.06)^16
Using a calculator to find the value of A:
A = $50,807.04
Therefore, the accumulated value is D. $50,807.04.
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What is the slope of the line that goes through the points (1,4) and (13,10)?
Answers
Answer:
The slope is 1/2 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(10 - 4)/(13 - 1) = 6/12 = 1/2 is the slope of the line
Hudson goes to a store an buys an item that costs a dollars. He has a coupon for 20%
off, and then a 5% tax is added to the discounted price. Write an expression in terms
of a that represents the total amount that Hudson paid at the register.
Answers
An expression that represents the total amount (a) that Hudson paid is
a-a/10×2+{(a/10×2)/20}.
What do we mean by expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.So, the expression that represents the total amount Hudson paid:
We know that,
Hudson has a coupon for 20% off.A 5% tax is added to the discounted price.Then, the expression can be as follows:
a - (a/100×20) + {(a/100×20)/100 × 5}a - a/10 × 2 + {(a/10×2)/20}Therefore, an expression that represents the total amount (a) that Hudson paid is a - a/10 × 2 + {(a/10×2)/20}.
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