Answer:
(-6,2)
Step-by-step explanation:
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
Find the slope of the line that passes through (-10, -52) and (56, -37).
Pleaseeeeee I need help!
THANK YOU
[tex] \: \: \: \: \: \: \: [/tex]
[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]
refer to the attachment for explanationhope it helpsA triangle has two sides of length 2 and 18. What is the largest possible whole-number length for the third side?
Answer:
19
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is
difference of 2 sides < x < sum of 2 sides , that is
18 - 2 < x < 18 + 2
16 < x < 20
Then the largest possible length of the third side is 19
2) If it is 12° outside and the temperature is going to -7° drop 19º. What will the new temperature be?
Answer:
69 degrees
Step-by-step explanation:
yeah
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
A line has a slope of 6 and passes through the point (2, 7) . What is its equation in slope "y-intercept" form?
Answer:
C
ON THE EDGE
Step-by-step explanation:
What point of concurrency in a right triangle is also the midpoint of the hypotenuse?
A. centroid
B. incenter
C. circumcenter
D. orthocenter
The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
What is point of concurrency?A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.
What is Triangle Concurrency Points?There are 4 different points of concurrency in the triangle are:
1. Circumcenter
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
For an obtuse-angled triangle, the circumcenter lies outside the triangle.
For a right-angled triangle, the circumcenter lies at the hypotenuse.
2. Incenter
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
3. Centroid
The point where three medians of the triangle meet is known as the centroid.
4. Orthocenter
The point where three altitudes of the triangle meet is known as the orthocenter.
For an obtuse-angled triangle, the orthocenter lies outside the triangle.
According to the question
The point of concurrency in a right triangle is also the midpoint of the hypotenuse.
According to the Triangle Concurrency Points
For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.
Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
To know more about Triangle Concurrency Points here:
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5) find the value of x and y
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
What is the length of the line?
answer choices
A 7
B 10
C 29
D 21
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
The line has a horizontal length of 2 units and a vertical length of 5 units
The line is then the hypotenuse h of a right triangle.
Using Pythagoras' identity
h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )
h = [tex]\sqrt{29}[/tex]
The length of the line given is √29 units.
Hence, the correct option is C.
Given is line on the cartesian plain we need to calculate its length.
Refer to the figure attached.
The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.
The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.
Let's denote the length of the hypotenuse as 'x'.
According to the Pythagorean theorem, we have:
x = 5² + 2²
Simplifying this equation:
x² = 25 + 4
x² = 29
To find the length of the hypotenuse, we take the square root of both sides:
x = √29
So, the length of the hypotenuse, in this case, is approximately √29 units.
Learn more about Pythagorean theorem, click;
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Help me..What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
27
Step-by-step explanation:
The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.
Pythagorean theorem : a² + b² = c²
Where a and b = legs and c = hypotenuse ( longest side )
We are given the length of the hypotenuse as well as a leg and we need to find the other leg.
Hypotenuse (c) = 45
Leg (a) = 36
To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b
Recall the Pythagorean theorem : a² + b² = c²
a = 36 and c = 45
(36)² + b² = (45)²
simplify exponents : 36² = 1296 and 45² = 2025
1296 + b² = 2025
subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729
b² = 729
take the square root of both sides: √(b)² = b and √729 = 27
We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27
a:b=2:5 b:d=4:3 c:d=4:5 a:e=1:3 a+b+c+d+e=792 a=? b=? c=? d=? e=?
explain how did u do it please
Answer:
a is 2 b is 5 ď is 3 e is 5 and that is it this is not the correct awns
Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look
Answer:
≈ 98.7
Step-by-step explanation:
What you want to use is Pythagorean Theorem
96 squared + 23 squared = c squared
≈ 98.7
please really need helpppppppp
Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]
Step-by-step explanation:
If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.
please answer fast...
785 divided by 10. AND IF YOU EXPLAIN HOW YOU GOT YOUR ANSWER I WILL GIVE YOU 5 STARS RATING.
Answer:
785/10=78.5
Step-by-step explanation:
You move the decimal point back a slot since your dividing by 10
Answer:
78.5
Step-by-step explanation:
i used a calculator bc im bad at lond division XD
What is the equation for the line in slope-intercept form?
Answer:y=4x+4
Step-by-step explanation:
Anyone able to help
Just question 6 please
Answer:
C)
Step-by-step explanation:
Have a great day
What does it mean by domain and range and how would I use that to fill out the table?
The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.
To find the y values, you replace each x with the numbers mentioned and simplify.
For instance, if x = 2, then,
f(x) = 3.50x
f(2) = 3.50*2
f(2) = 7
This tells us that x = 2 packages cost y = 7 dollars.
Functions f(x) and g(x) are define below.
f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4
determine where f(x) = g(x) by graphing.
Answer:
slope:1
y-intercept:(0,0
Answer:
x = -1 and x = 8.1
See image
Step-by-step explanation:
If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form
y=sqrt x
And
y=|x|
Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.
What forms of the following equation in?
y+5=7(x−3)
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
Help ???????????? ?????
Answer:
A
Step-by-step explanation:
Answer:
the answer is BStep-by-step explanation:
Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1
Answer:
yes, it a solution
Step-by-step explanation:
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in his account by the end of the summer. If there are 10 weeks in the summer, how much can Keith spend each week to have at least $200 in his account? Let x represent how much he can spend each week.
options:
x>30
x>70
x≤70
x≤30
Answer:
x≤30
Step-by-step explanation:
he can spend no more than $30 a week
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)
Answer: Perpendicular
Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.
Answer:
Perpendicular
Step-by-step explanation:
Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.
To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.
Calculate the slope of the lines by dividing the difference in y by the difference in x:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]
m₂ is the negative reciprocal of m₁, so these lines are perpendicular.
Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.
HELPP ME PLEASEEE ! I NEED IT RNN
5.
In Vietnam, the probability of rain is 70%. Find the
probability of it raining at most 2 days in a week.
a) .9712
b) 0.0250
c) .0287
d) .2988
Answer: the answer is C which is .0287
The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.
Let's use the binomial probability formula for this calculation:
The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)
p is the probability of success (rain in this case)
n is the number of trials (number of days in a week)
In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.
Now, let's calculate the probabilities for k = 0, 1, and 2:
Probability of raining 0 days in a week:
P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)
Probability of raining 1 day in a week:
P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)
Probability of raining 2 days in a week:
P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)
Now, add these probabilities together to get the probability of it raining at most 2 days in a week:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Calculate the values using the binomial coefficients:
C(7, 0) = 1
C(7, 1) = 7
C(7, 2) = 21
Now, calculate the probabilities:
P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187
P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775
P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215
Finally, add these probabilities together:
P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087
Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
So, the correct answer is (b) 0.0250.
Learn more about probability from the link given below.
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I do not understand, like why did it give me a problem with one number and is not a exponent?
Find x in the triangle
Answer:100
Step-by-step explanation:
The question confuses you since there is no extra variable to help you which is you have to create it yourself.
Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:
[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].
Also since the inside sum of angles in a traingle is equal to 180°, this can be written as
[tex]180 = (x-40) +(x-30)+y[/tex]
if we replace y with the equation we get
[tex]180=(x-40)+(x-30) + (-x+150)[/tex]
which can be simplified to
[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80
If we rearrange to solve for x, we get:
[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]
We can verify this by putting the value of x in both equation:
[tex]y = -100+150 = 50[/tex] angle at k
[tex]100-40=60[/tex] angle at j
[tex]100-30=70[/tex] angle at l
[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°
Rewrite this equation below into standard form
y=−3−7x