In an isosceles triangle with a vertex angle measuring 150 degrees, the length of the base is equal to the length of the equal sides.
In an isosceles triangle, the two equal sides are opposite the two equal angles. Since the vertex angle measures 150 degrees, the other two base angles are equal and each measures (180 - 150)/2 = 30 degrees.
Let's denote the length of the base as B inches.
In an isosceles triangle, the base angles are congruent. So we have two congruent angles measuring 30 degrees. Since the sum of the angles in any triangle is 180 degrees, we can find the third angle by subtracting the sum of the other two angles from 180 degrees:
180 - 30 - 30 = 120 degrees
Therefore, the triangle has one angle of 150 degrees and two angles of 30 degrees.
Now, let's use the Law of Sines to relate the lengths of the sides to the angles of the triangle:
sin(angle) / side = sin(angle) / side = sin(angle) / side
In our case, we can set up the following equation using the known information:
sin(30) / Q = sin(30) / Q = sin(150) / B
Since sin(30) = 1/2 and sin(150) = 1/2, we can simplify the equation:
1/2Q = 1/2Q = 1/2B
Canceling out the common factor of 1/2, we get:
Q = Q = B
Therefore, the length of the base (B) is equal to the length of the equal sides (Q) in an isosceles triangle.
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if a stream drops 15 meters in 15 kilometers, what is its gradient?
The gradient of the stream is 1 meter per kilometre, which means that the stream drops 1 meter for every kilometre travelled. This is a relatively gentle slope and suggests that the stream is not flowing rapidly or eroding its bed very quickly.
The gradient of a stream is a measure of its steepness and is calculated by dividing the change in elevation by the distance travelled. In this case, the stream drops 15 meters in 15 kilometres, which means that the gradient can be calculated as follows:
Gradient = Change in elevation ÷ Distance travelled
Gradient = 15 meters ÷ 15 kilometers
Since we need to express the gradient in terms of meters per kilometre, we can simplify the above equation as follows:
Gradient = (15 meters ÷ 15,000 meters) × 1,000
Gradient = 1 meter per kilometer
Therefore, understanding the gradient of a stream is important for a range of activities, including flood control, erosion management, and habitat restoration. By monitoring changes in the gradient over time, scientists and engineers can gain insights into the health and behaviour of streams and develop strategies to protect them.
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Find x if 75% of x = 27.
36
that is the answer
Answer:
36%
Step-by-step explanation:
"Percent'' or ''%'' means ''out of 100'' or '' per 100'',
Therefore x% can be written as x/100.
So we can write and solve for x;
27/75= x/100
100 X 27/75 = 100 X x/100
2700/75 = 100 X x/100
36=x
27/75= 36/100= 36%
Hope this helped
Order the intgers from least to greatest -8,2,-1,0,7
By ordering the integers from least to greatest -8,2,-1,0,7. The integers in ascending order from least to greatest are -8, -1, 0, 2, 7.
To order the integers -8, 2, -1, 0, and 7 from least to greatest, we arrange them in ascending order based on their numerical value. Starting with the smallest value, we have -8. Next, we move to the next smallest value, which is -1. After that, we have 0, followed by 2, and finally, the largest value is 7.
Arranging them in order, we have -8, -1, 0, 2, and 7. This represents the integers from least to greatest.
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I NEED HELP WITH THIS QUESTION!!
Answer:
- 1
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
Given y = 4x - 5 with slope 4
y = - \(\frac{1}{4}\) x - 5 with slope - \(\frac{1}{4}\) then
4 × - \(\frac{1}{4}\) = - 1 proving the lines are perpendicular
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
The number of apps that 8 students downloaded last year are shown below.
16, 12, 18, 8, 17, 15, 22, 17
Drag the correct word to each box to make the inequalities true. Each term may be used once or not at all.
range
mean
median
mean
mode
median
in 1988, galena christyakova set the women's long jump record of 7.52 meters. in 1991, mike powell set the men's long jump record of 8.95 meters. how much farther (ef) would galena have to jump in order to tie mike's record?
Answer: 1.43 meters
Step-by-step explanation:
subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record
Please helppppimalmost done with homework!!!!
The value of the given expression will be 3√5.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression c² = 45 will be solved as below:-
c² = 45
Take the square root of the number 45.
c = √45
c = √ 9 x √5
c = 3√5
Therefore, the value of the given expression will be 3√5.
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NO LINKS FOR THE LAST TIME JUST HELP ANSWER THE QUESTION WITH A B C OR D WILL GIVE BRAINLIEST!!
Answer: letter b
Step-by-step explanation:
Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2.
Answer:
Median = 1
Step-by-step explanation:
0, 0, 1, 1, 1, 1, 2, 2, 3, 4
Middle - 1 + 1
2 ÷ 2 = 1
Hope this helps! :)
please help me!! no links<3
Which property of multiplication is shown?
9. (r:s) = (q.r).s
Answer:
I think it is associative! Not sure though bc of the q!
Step-by-step explanation:
The figure is formed from rectangles.
A.) 80 ft2
B.) 36 ft2
C.) 104 ft2
D.) 68 ft2
Answer:
D.) 68 ft²
Step-by-step explanation:
8×(10-2) + 2×2
8×8 + 4
64 + 4
68 ft²
What is the volume of the rectangular prism with a length of 2 feet, a width of 4 feet & a height of 8 feet?
(Hint: V=L x W x H)
Answer:
it's 64
Step-by-step explanation:
you multiply the length times width times height
Using the formula for the volume of a rectangular prism, we have:
V = L x W x H
Substituting the given values, we get:
V = 2 ft x 4 ft x 8 ft
Simplifying the expression, we get:
V = 64 cubic feet
Select the correct answer.
The box plot shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project.
What is the shape of this data set?
A. skewed left
В. skewed right
C. symmetrical
D. cannot be determined
here
Question 8
Which equation is NOT a linear function?
y = 4x - 12
y = 17
II
y = x-2
y = 5x
you want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model. how can you address this?
In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.
Define linear regression.A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.
Given,
You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.
I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.
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(2x + 12y = −17) (3x + 2y = 7) value of x and y
Answer:
x = (59/16)
y = (-65/32)
Step-by-step explanation:
2x + 12y = −17
3x + 2y = 7
--------------------------
(2x + 12y = −17) × 3
6x + 36y = -51
(3x + 2y = 7) × -2
-6x - 4y = -14
----------------------------------
6x + 36y = -51
-6x - 4y = -14
-----------------------
32y = -65
÷32 ÷32
--------------------------
y = (-65/32)
3x + 2y = 7
3x + 2(-65/32) = 7
3x - (65/16) = 7
+(65/16) +(65/16)
-------------------------------
3x = (177/16)
÷3 ÷3
---------------------------
x = (59/16)
I hope this helps!
Please find the limit. Show work and explain in detail. Thank you!
sin e 37. Lim 0-0 sin 20
The expression sin(e^37) does not have a well-defined limit as x approaches 0 from the left side since the argument e^37 is not an angle and is a constant.
To find the limit of the function sin(e^37) as x approaches 0 from the left side, we need to evaluate the limit and analyze the behavior of the function near 0.
The expression sin(e^37) represents the sine of a very large number, approximately equal to 5.32048241 × 10^16. The sine function oscillates between -1 and 1 as the input increases, but it does so in a periodic manner.
As x approaches 0 from the left side (x < 0), the function sin(e^37x) will oscillate rapidly between -1 and 1. However, since the argument of the sine function (e^37) is an extremely large constant, the oscillations will occur at a much higher frequency.
To calculate the limit, we can directly evaluate the function at x = 0 from the left side.
sin(e^37 * 0) = sin(0) = 0.
Therefore, the limit of sin(e^37) as x approaches 0 from the left side is equal to 0.
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suppose a jar contains 11 red marbles and 40 blue marbles. if you reach in the jar and pull out 2 marbles at random, find the probability that both are red. write your answer as a reduced fraction.
The required probability that both are red out of total marbles is 0.0431 or 4.31%.
What is probability?A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.
According to question:Total number of marbles in a jar = 40 + 11 = 51
Number of red marbles = 11, blue marbles = 40
At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.
Net probability = 11/51×10/50 = 0.0431
percentage probability = 4.31%
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lake trail is 4 3/5 miles long. outlook trail is 5 5/6 miles long. pinewoodd trail is 1 3/10 miles longer, which trail is longer, pinewoods trail or outlook trail?
The longer trail is outlook trail.
What are Mixed Fractions?Mixed fractions are type of fractions which consist of a whole number part and a fractional part.
Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.
The lengths of these trails are given in the mixed number form.
First, converting it into improper fraction,
Length of lake trail = 4 3/5 mile = (4 × 5 + 3) / 5 = 23/5 miles
Length of outlook trail = 5 5/6 mile = (5 × 6 + 5) / 6 = 35/6 miles
Length of pinewood trail = 1 3/10 mile = (1 × 10 + 3) / 10 = 13/10 miles
35/6 > 13/10
Outlook trail is longer.
Hence the outlook trail is the longer trail.
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determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial
The polynomial, - 2r + 6r^5 + sr is a trinomial.
The degree of the polynomial is 5.
What is a Polynomial?A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.
The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.
Given the polynomial, - 2r + 6r^5 + sr:
It has three terms, therefore, it is a trinomial.
The degree of the polynomial is 5.
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What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?
Find angle 1
PLS ANSWER ASAP
Answer:
80 degrees
Step-by-step explanation:
What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees
We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.
Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.
Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.
A programmed decision is a repetitive decision that can be handled by a routine approach. Indicate whether the statement is true or false.
True.The statement "A programmed decision is a repetitive decision that can be handled by a routine approach". Programmed decisions are typically made in response to recurring situations and can be addressed using established processes or guidelines, making the decision-making process more efficient.
A programmed decision refers to a decision that is repetitive and can be handled by a routine approach. These decisions are typically structured and well-defined, with established procedures or rules in place to guide the decision-making process. Programmed decisions are often based on predetermined criteria and do not require extensive analysis or evaluation. They can be automated and handled systematically, allowing for efficient and consistent decision-making in routine situations.
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-3 - 8 help please
thank you if you helped
Step-by-step explanation:
Its -11 coz its neg - neg...
what the answer to -3-z=?
Hey there!☺
\(Answer:\boxed{-z-3}\)
\(Explanation:\)
\(-3-z\)
-3 + -z Add together
-z - 3
Hope this helps!
I NEED HELP ON THIS ASAP! PLEASE HELP!! I WILL GIVE YOU BRAINLIEST!!
A system of inequalities to represent the constraints of this problem are x ≥ 0 and y ≥ 0.
A graph of the system of inequalities is shown on the coordinate plane below.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of HD Big View television produced in one day and number of Mega Tele box television produced in one day respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of HD Big View television produced in one day.Let the variable y represent the number of Mega Tele box television produced in one day.Since the HD Big View television takes 2 person-hours to make and the Mega TeleBox television takes 3 person-hours to make, a linear equation to describe this situation is given by:
2x + 3y = 192.
Additionally, TVs4U’s total manufacturing capacity is 72 televisions per day;
x + y = 72
For the constraints, we have the following system of linear inequalities:
x ≥ 0.
y ≥ 0.
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Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings.
Answer:
your friend is wrong
Step-by-step explanation:
There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.
If you look at the attached image, °d = °a + °c
Pls help will get grounded if I fail ☹ Write the rule for the linear. Remember a function rule written using f(x).