A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is the ladder's angle of elevation?
Answer:
70.5°
Step-by-step explanation:
To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine
= cos θ = Adjacent/Hypotenuse
Where
Adjacent = Distance of the base from the house = 10ft
Hypotenuse = Length of the ladder = 30 ft
cos θ = 10/30
cos θ = 1/3
θ = arc cos 1/3
θ = 70.528779366
Approximately = 70.5°
Therefore, the ladder's angle of elevation is 70.5°
A rectangular piece of wood measuring 360 CM by 280 cm is cut into small identical squares of largest possible length. Find
a the length of each square.
b the total no. of wooden pieces
Please helpp really would appreciate
I'm not sure if it's correct..........
Jillian exercises 4 times a week she runs 2 miles each morning and bikes in the evening if she exercises a total of 28 miles for the week how many miles does she bike each evening
Answer:
5 miles
Step-by-step explanation:
Total miles Jillian runs in a week = 4 x 2 miles = 8 miles
Total miles she bikes each week = total miles in a week - total miles Jillian runs in a week
28 miles - 8 miles = 20 miles
Miles she bikes in a week =20/4 = 5 miles
The sum of two complimentary angles is 90. . For one pair of complimentary angles, the measure of the first angle is 15 less than twice the measure of the second angle.
Answer:
[tex]x=55 \textdegree[/tex]
[tex]y=35 \textdegree[/tex]
Step-by-step explanation:
From the question we are told that
Sum of two angle =90
First angle is 15 less than twice the measure of the second angle.
Generally interpreting mathematically we have
Let x be the first angle and second angle y
[tex]x=2y-15[/tex]
Therefore
[tex]2y-15 +y=90[/tex]
[tex]3y=105[/tex]
[tex]y=\frac{105}{3}[/tex]
[tex]y=35 \textdegree[/tex]
Therefore
[tex]x+35=90[/tex]
[tex]x=90-35[/tex]
[tex]x=55\textdegree[/tex]
William melts a cube-shaped block of candle wax that is 4 inches on each side. He then pours the wax into cylinder-shaped molds in order to make candies. Each mold has a height of 2.5 inches
Complete the table below to show the maximum number of whole candles that William can make from the block of wax using molds of the given diameters
9514 1404 393
Answer:
130, 32, 8
Step-by-step explanation:
I find it convenient to use a spreadsheet to do repetitive calculations. The formulas for volume of a candle and number of candles are shown in the attached spreadsheet.
The block of wax has a volume of 4×4×4 = 64 cubic inches. The volumes shown for the candles are in cubic inches, so the number of candles is 64 divided by the candle volume.
The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Answer: D) the significance level of the test
=======================================================
Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
The height of the equilateral triangle is 3√3 cm.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.
The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.
By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).
However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).
Therefore,
The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.
Now,
The height of an equilateral triangle can be found using the formula:
height = (side length / 2) x √3
The side length = 6 cm
So,
height = (6 / 2) x √3
= 3√3 cm
Therefore,
The height of the equilateral triangle is 3√3 cm.
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here is the other part
mario
Answer: cool
Step-by-step explanation:
2)
Which graph represents a function?
A)
B)
A
D)
Answer:
it should be c im pretty sure it's a quadratic function graph
HELP!!!
Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|
Answer:
A. 4, X = 4
Step-by-step explanation:
-3x - 8 = -20
Move the constant to the right-hand side and change its sign
-3x = -20 + 8
Calculate the sum
-3x + -12
Divide both sides of the equation by -3
x = 4
Solution
x = 4
2. Solve the equation for x.
14 - x = 5x - 4
Answer:
x=3
Step-by-step explanation:
14-x=5x-4
Add the x from the left side to the right
14=6x-4
and the 4 to the left side
16=6x
6x=18
x=3
Answer:
x = 3
Step-by-step explanation:
If we substitute x for 3 it will give u the following expression:
14 - 3 = 5 x 3 - 4
If we solve both these expressions they will both give us: 11
This will prove the equation correct
Multiplying binomials using area model.
Answer:
4x²+35x+24
Step-by-step explanation:
FOIL the binomials and simplify
4x^2 + 35x + 24
That's all I know.
Decrease £280 by 15%
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
HELP ME PLEASE IM DESPERATE
Answer:
the answer is below
Step-by-step explanation:
accidently made b to x
PLS HELP!!!!! Use the given parallelogram to find the length of side AB
Answer:
x+3=2x-6
2x-x=3+6
x=9
AB=9
What is the value of this function when x = 9?
Please help!
Answer:
Undefined
Step-by-step explanation:
If x = 9, then.......
[tex]f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=[/tex] Undefined
Lehana and Marty each opened a savings account with a deposit of $100.
● Lehana earned 2.5% simple interest per year.
● Marty earned 2% simple interest per year.
● Neither of them made additional deposits or withdrawals.
How much more did Lehana receive in interest than Marty after three years?
Answer:
100*.025*3=7.5 100+7.5=107.5
100*.02*3=6 100+6=106
107.5-106=1.5
$1.50
Step-by-step explanation:
thats it
Write an equation for the line shown on the graph.
y =3/2 x - 2
y = 2/3x + 1
y = 2/3x - 2
y =3/2 x + 1
Answer: y = 2/3x +1 (the second option)
Step-by-step explanation:
Equation: y = mx + bm (slope) = 2/3 --> rise over runb (y intercept) = 1The required equation will be y = -0.5x + 27.5 which is shown on the given graph.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
According to the given graph,
We can see two points are (-3, -1) and (3, 3)
The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Here
x₁ = -3, y₁ = -1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
Substitute values in the equation, we get
⇒ y - (-1) = (3 - (-1))/(3-(-3))(x-(-3))
⇒ y + 1 = (4)/(6)(x + 3)
⇒ y + 1 = 2/3(x + 3)
⇒ y = (2/3)x + 2 + 1
⇒ y = (2/3)x + 3
⇒ 3y = 2x + 9
Thus, the required equation will be 3y = 2x + 9.
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PLZ HELP ME
saeszxdrctfvgybhunjimkoploihuy7gt5rdesxrdfghbinug 6frbed46c5rtf
Answer:
Sorry just trying to get pts
Step-by-step explanation:
I need 5x - 6y = 30 super bad including The Slope and the Y-Intercept, please I need this super fastttt!
Answer:
the slope will be 5/6 and the y- intercept is going to be (0,-5)
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)
The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference between the elevations of the town and lake?
Answer:
425
Step-by-step explanation:
What is the angle for a and b
how can you find the solution of a system of linear equations by graphing
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Answer:
Use desmos if you can but usually just look at where the lines intersect. there can be more than one point
Step-by-step explanation:
Subtract.
(9x + 7) - (x+3) = ?
Answer:
8x+4
Step-by-step explanation:
(9x+7)-(x+3) first - multiply both x and 3 so it will be :
9x+7-x-3 and then collect like terms
9x-x+7-3
8x+4
If it's helpful ❤❤❤
THANK YOU
the answer are 1/2 1/3 1/8 1/24
Answer:
1/24
Step-by-step explanation:
The first spinner has 6 letters. The letter A is 1 of those letters. So, the probability of the pointer landing on A is 1/6.
The second spinner has 8 numbers. The numbers 3 and 6 are 2 out of those 8 numbers. So, the probability of the pointer landing on 3 or 6 is 2/8 or 1/4.
Now multiple the two probabilities together.
1/6 × 1/4 = 1/24
Hope that helps.
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
A rental car company charges drivers a flat fee to rent a car plus $.25 for each mile they drive if a driver paid $100 and drives 160 miles which equation can he use to find his total cost y in terms of the number of miles driven x
A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?
Answer:
1/10
Step-by-step explanation:
20 STUDENTS, 2 chosen
PLS HELP WITH THIS MATH Equation
answer: (175+125)÷3
have a nice day
Ту
5
How many points need to be removed from this graph
so that it will be a function?
4
3
2
1
1 point
O 2 points
O 3 points
O 4 points
2 3 4 5
х
54 -3 -2 -11
-24
-3
.
-4
.
Answer:
We need to remove 3 points from 3 duplicated pairs so this graph so that it will be a function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From the graph, we can determine the table such as:
x y
-3 2
-3 3
1 4
1 -4
2 -2
2 -4
It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.
In other words, there are 3 duplicated pairs.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Thus, we need to remove 3 points from 3 duplicated pairs so this graph so that it will be a function.
Pls help i dont understand i really need help
Answer:
I need to know the question before I can help?
Step-by-step explanation: