A 15-foot-long ladder leans against a building such that it reaches a height of 12 feet . Assuming the building is vertical and the ground horizontal, we want to find out how far from the base of the building the bottom of the ladder lies.
(a) Draw a right angle on the picture based on the information given.
(b) Are we missing the hypotenuse or a leg of the right triangle?
(c) Find the missing side ( your answer will be a rational number).
Answers
Answer:
a) right triangle = one angle has to be 90 degrees (form the letter "L")
b) we are missing a leg
c) 9
Step-by-step explanation:
\(a^{2} \) + \(b^{2} \) = \(c^{2} \)
\(12^{2} \) + \(b^{2} \) = \(15^{2} \)
144 + \(b^{2} \) = 225
-144. -144
\(b^{2} \) = 81
\(\sqrt{b} \) = \(\sqrt{81} \)
b =. 9
Related Questions
Question 1 of 10
Evaluate the expression and enter your answer in the box below.
-4. (4+2)+234 divide by 9
Answer here
↑
Answers
The value of the given expression is 2
PEDMAS rule
According to the rule;
P is parenthesis
E is exponent
D is division
M is the multiplication
A is addition
S is subtraction
Given the expression below;
-4.(4+2)+234 divide by 9
For the parenthesis
-4(6)+234 ÷ 9
D is for division
-4(6)+234 ÷ 9
-4(6)+26
Expand to have:
-24 + 26
Take the sum to have:
-24+26 = 2
Hence the value of the given expression is 2
learn more on PEDMAS here: https://brainly.com/question/11421179
#SPJ1
Mark is selling programs at a football game. He is paid $11.00
per game. In addition, he earns $0.35 for each program that he
sells.
What are marks total earnings if he sells 75 programs at one game? Show your work
Answers
Answer:
$37.25
Step-by-step explanation:
Base price = 11.00
He also earns an additional 0.35 per program sold:
11 + 0.35(75) =
11 + 26.25 = 37.25
Mark earns $37.25
-Chetan K
The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answers
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
A bank wants to attract new customers for its credit card. The bank tries two different approaches in the marketing campaign. The first promises a cash back reward; the second promises low interest rates. A sample of 500 people is called the first brochure; of these, 100 get the credit card. A separate sample of 500 people is called the second brochure; 125 get the credit card. The bank wants to know if the two campaigns are equally attractive to customers. What is a 95% confidence interval for the difference in the two proportions
Answers
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the first brochure,
x = 100
n1 = 500
p1 = 100/500 = 0.2
For the second brochure
x = 125
n2 = 500
p2 = 125/500 = 0.25
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.2(1 - 0.2)/500 + 0.25(1 - 0.25)/500]
= 1.96 × √0.000695
= 0.052
Confidence interval = (0.2 - 0.25) ± 0.052
= - 0.05 ± 0.052
2+2=
a. 3
b. 5
c. 4
d. 7
Answers
Answer:
C
Step-by-step explanation:
2
+2
-----
4
Line plot titled, Width of Crocus Plants. There is a line labeled, Width in Centimeters. There are tick marks representing values from 8 to 10, partitioned into tenths. Each fifth tick mark is labeled with a decimal number, 8, 8 and 5 tenths, 9, 9 and 5 tenths, and 10. There is one mark above the first tick mark after 8. There are two marks above the third tick mark after 8. There is one mark above the second tick mark after 8 and 5 tenths. There are 3 marks above the first tick mark after 9. There is one mark above the first tick mark after 9 and 5 tenths. There is one tick mark above the third tick mark after 9 and 5 tenths. There is one mark over 10. What is the total width of the plants that are 8.5 cm or less? 3 centimeters 24 centimeters 24.7 centimeters 30 centimeters
Answers
(-1.1/7)
Find the exponential function f(x) = a^X of this interval.
f(x) = .........
Answers
The exponential function that passes through the point (-1, 1/7) for the given interval is f(x) = 7ˣ.
What is the exponential function?To find the exponential function that passes through the points (-1, 1/7), we can use the general form of an exponential function, which is:
f(x) = aˣ
where;
a is the base of the exponential function.First, we can use the given point (-1, 1/7) to find the value of "a". Substituting these values into the equation, we get:
1/7 = a⁻¹
To solve for "a", we can take the reciprocal of both sides of the equation and simplify:
7 = a
Now that we have found the value of "a", we can substitute it into the general form of the exponential function to get the specific function for this interval:
f(x) = 7ˣ
Learn more about exponential function here: https://brainly.com/question/2456547
#SPJ1
The complete question is below:
(-1, 1 / 7)
Find the exponential function f(x) = aˣ of this interval.
f(x) =
A parallelogram is a rectangle if and only
if its diagonals are congruent.
Answers
Answer:
A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.
Step-by-step explanation:
what is one additional piece of information would you need in order to prove the two triangles congruent by the stated postulate or theorem? **PLS HELP ME!**
(HL THEOREM)
Answers
Answer:
LO ⊥ NM
Step-by-step explanation:
The HL theorem only applies to right triangles. The angles at O need to be shown to be right angles. You need to know that LO ⊥ NM.
Please help me with this anyone I beg
Answers
Answer:
A)336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Step-by-step explanation:
A) P(n, r) = P(8, 3)
Formula for permutation is;
P(n, r) = n!/(n - r)!
P(8, 3) = 8!/(8 - 3)!
P(8, 3) = (8 × 7 × 6 × 5!)/5!
5! will cancel out to give;
P(8, 3) = (8 × 7 × 6)
P(8, 3) = 336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) C(n, r) = C(7, 2)
Formula for combination is;
C(7, 2) = n!/(n - r)!r!
Thus;
C(7, 2) = 7!/(7 - 2)!2!
C(7, 2) = (7 × 6 × 5!)/(5! × 2 × 1)
5! will cancel out to give;
C(7, 2) = 7 × 6/2
C(7, 2) = 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Suppose both factors in a multiplication problem are multiples of 10.Explain why the number of zeros in the product may be different than the total number of zeros in the factors. Include an example.
Answers
Answer:
Step-by-step explanation:
If the numbers before the 0 at the end, multiply to be a factor of 10 then the number of zeros will be different.
Example
50*20=1,000 (3 zeros rather than 2)
250*20=5,000 (3 zeros again)
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answers
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
Identify the steps to find the value of the inverse ( Please show your work thank you) ↓
Answers
The value of the inverse of the equation is this: x³ -3 = y
How to find the inverse of the equationTo find the inverse of the equation follow these steps:
1. Replace H(x) with y.
y = (x + 4)³ - 1
2. Interchange the values of X and Y.
X = (y + 4)³ - 1
3. Find the cube root of both sides
x³ = y + 4 - 1
4. Find the value of y
x³ - 4 + 1 = y
x³ -3 = y
Learn more about the inverse of an equation here:
https://brainly.com/question/3831584
#SPJ1
A farmer notes that in a field of horses and chickens there are 34 heads and 104 feet. How many of each animal are there
Answers
Answer: 18 horses and 16 chickens
Step-by-step explanation:
horses = h , chickens = c
h + c = 34
4h + 2c = 104, or simplified, 2h + c = 52
Now we just use systems of equations to solve. I will subtract the second equation from the first.
(2h + c = 52) -
(h + c = 34)
so simplified, our system becomes h = 18. Therefore, there are 18 horses. Now we can plug this value into h for any of the equations to get c, the amount of chickens.
18 + c = 34
c = 16.
Therefore, there are 18 horses and 16 chickens.
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
Answers
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
For more questions on arc length
https://brainly.com/question/31341388
#SPJ8
Find the vector v for which v = u + 4w given that u = (-6, 4) and w= (-4, -6).
Answers
The simplified value for the vectors u = (-6, 4) and w= (-4, -6) in the expression v = u + 4w is equal to v = (-22, -20).
Vectors are ,
u = (-6, 4)
and w= (-4, -6).
To find the vector v = u + 4w,
we need to multiply the vector w by 4 and add it to the vector u component-wise,
v = u + 4w
Substitute the value of the vectors we have,
= (-6, 4) + 4(-4, -6)
Now, add component wise vector we get,
= (-6, 4) + (-16, -24)
= (-6 - 16, 4 - 24)
= (-22, -20)
Therefore, the value of the vectors v = u + 4w is equals to v = (-22, -20).
Learn more about vectors here
brainly.com/question/26206498
#SPJ1
In a class of 35 students, 15 are seniors, 20 are females, and 7 are both a senior and a female. If I choose a student at random, what is the probability I choose a female or a senior?
Answers
Answer:
1Step-by-step explanation:
15 + 20 / 35
35/35 = 1 (certain)
The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.
I'm always happy to help :)
Answer:
1.
Step-by-step explanation:
Prob ( Choosing a female) = 20/35
Prob ( Choosing a senior) = (15)/ 35 = 15/35
Requires probability = 20/35 + 15/35
= 35/35
= 1.
40 is what percent of 320
Answers
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
Learn more about axioms here:
https://brainly.com/question/2857184
#SPJ8
im a senior trying to graduate my school has me in the wrong classes i have adhd and i was supposed to be in diffrent classes but anyways i need help bad its due tn at 12 and if i dont get them in i dont graduate
Answers
Step-by-step explanation:
hope you can send the questions again because your question is to long to answer everything. I answered 1,2,3,4
compute the products in exercises 1\[dash]4 using (a) the definition, as in example 1, and (b) the row\[dash]vector rule for computing a x. if a product is undefined, explain why.
Answers
1) product is not defined.
2) product is undefined.
3) [ -9 ]
[ 5 ]
[ -11 ]
Explanation:
1) product is not defined.
because no of column of 1st matrix (2) is not same as no of row of second matrix.(3)
2) product is undefined.
because no of column of 1st matrix (1) not same as no of row of second matrix (2).
3) [ 6 5 ] [ 6 -15 ] [ 9 ]
[ -4 -3 ] X [ 1 ] = [ -4 +9 ] = [ 5 ]
[ 7 6 ] [ -3 ] [ 7 -18 ] [ -11 ]
A matrix is a rectangular array of numbers (or other mathematical objects) that defines operations like addition and multiplication. A matrix over a field F is typically a rectangular array of scalars, each of which is a member of F.
COMPLETE QUESTION IS GIVEN BELOW:
https://brainly.com/question/28180105
#SPJ4
![compute the products in exercises 1\[dash]4 using (a) the definition, as in example 1, and (b) the row\[dash]vector](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/ZNlNTeE5B9RxpIjG9SRomCGY2KFdbJt1.jpeg)
The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible?
Answers
There are a total of 175,760,000 different license plates
How many different license plates are possible?
We know that the license plates are of one number followed by 3 letters followed by 3 numbers.
We need to count the number of options for each of these elements:
1st number: it has 10 options.1st letter: it has 26 options.2dt letter: it has 26 options.3rd letter: it has 26 options.2nd number: it has 10 options.3rd number: it has 10 options.4th number: it has 10 options.The total number of combinations is given by taking the product between these numbers of options, we will get:
C = 10*26*26*26*10*10*10 = 175,760,000
There are a total of 175,760,000 different license plates
If you want to learn more about combinations:
https://brainly.com/question/11732255
#SPJ1
What is the distance between point T (-5,1) and point I (-1,1)
Answers
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
For more questions on Pythagorean theorem, click on:
https://brainly.com/question/231802
#SPJ8
if an ice cream truck drives fives 7 miles per hour, how many feet does the truck drive per minute?
Answers
Answer:
616 ft/min
Step-by-step explanation:
1 mile = 5280 feet
7 miles = 5280 x 7 = 36960
1 hr = 60 mins
thus 36960 / 60 = 616
best answer gets a brainliest answer it’s due today
Answers
Answer:
b
Step-by-step explanation:
I think b is your answer if not I'm so sorry.
Line: y= -x Quadrant: 2Trig: The terminal side of (theta) lies on the given line in the specified quadrant. Find the exact values of the six trigonometric functions of (theta) by finding a point on the line.Sin(theta)=Cos(theta)=Tan(theta)=Csc(theta)=Sec(theta)=Cot(theta)=
Answers
Answer:
The exact values of the six trigonometric functions are;
\(\begin{gathered} \sin \theta=\frac{1}{\sqrt{2}} \\ \cos \theta=\frac{-1}{\sqrt{2}} \\ \tan \theta=-1 \\ \text{csc }\theta=\sqrt{2} \\ \text{sec }\theta=-\sqrt{2} \\ \text{cot }\theta=-1 \end{gathered}\)Explanation:
Given the function;
\(y=-x\)At y = 1 the value of x is;
\(\begin{gathered} y=-x \\ 1=-x \\ x=-1 \end{gathered}\)Therefore, at x=-1, y=1. (-1,1)
So, sketching the coordinates we have;
From the sketch, we can see that;
\(\begin{gathered} Opposite=y=1 \\ \text{Adjacent = x = -1} \\ \text{Hypotenuse = }\sqrt{(-1)^2+1^2}=\sqrt{2} \end{gathered}\)We can used the following values to find the values of each of the following;
\(\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{2}} \\ \cos \theta=\frac{Adjacent}{\text{hypotenuse}}=\frac{-1}{\sqrt{2}} \\ \tan \theta=\frac{opposite}{adjacent}=\frac{1}{-1}=-1 \\ \text{csc }\theta=\frac{1}{\sin \theta}=\frac{\sqrt{2}}{1}=\sqrt{2} \\ \text{sec }\theta=\frac{1}{\cos \theta}=\frac{\sqrt{2}}{-1}=-\sqrt{2} \\ \text{cot }\theta=\frac{1}{\tan \theta}=\frac{-1}{1}=-1 \end{gathered}\)Therefore, the exact values of the six trigonometric functions are;
\(\begin{gathered} \sin \theta=\frac{1}{\sqrt{2}} \\ \cos \theta=\frac{-1}{\sqrt{2}} \\ \tan \theta=-1 \\ \text{csc }\theta=\sqrt{2} \\ \text{sec }\theta=-\sqrt{2} \\ \text{cot }\theta=-1 \end{gathered}\)
Look at this table:
y =
X y
4
6
7
3
5
-24
-29
-34
-39
-44
Write a linear (y = mx + b), quadratic (y = ax2), or exponential (y = a(b)*) function that
models the data. Help plis
Answers
It should be noted that the function that can model the data is a linear function since there's a constant difference or -5.The linear function is y = -5x - 9.
How to explain the function.In this case, to determine whether the data is best modeled by a linear, quadratic, or exponential function, we can first plot the data points and see what type of curve they form. However, since we are only given five data points, it can be difficult to make a definitive determination.
One way to estimate the type of function is to look at the differences between the y values. For example, if the differences between the y values increase by a constant amount, then the data may be best modeled by a linear function. If the differences increase by a constant squared amount, then the data may be best modeled by a quadratic function.
Here, the constant difference will be:
= -29 - (-24)
= -5
This depicts a linear function.
Learn more about functions on;
https://brainly.com/question/10439235
#SPJ1
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+267x+107
Answers
Answer:
8.34
Step-by-step explanation:
i got it wrong and it told me the right answer lol
Cristina uses a ruler to measure the length of her math textbook. She says that the book is 4/10 meter long. Is her measurement in simplest form? If not, what is the length of the book in simplest form?
Answers
Answer:
2/5 meters
Step-by-step explanation:
Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61
Answers
Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
