Answers
Answer:
Step-by-step explanation:
In an isosceles right triangle, the angle measures are 45°-45°-90°, and the side lengths create a ratio where the measure of the hypotenuse is sqrt(2) times the measure of each leg as seen in the diagram below.And with a 30°-60°-90°, the measure of the hypotenuse is two times that of the leg opposite the 30° angle, and the measure of the other leg is sqrt(3) times that of the leg opposite the 30° also seen in the diagram below.look at the examples below~
Final answer:
To solve special right triangles, utilize the mnemonic SOHCAHTOA and apply the Pythagorean theorem along with trigonometric functions to find side lengths and angles.
Explanation:
To solve a special right triangle, you'll need to use various relationships between the sides and the angles. A popular mnemonic for remembering these relationships is "SOHCAHTOA", which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. It's useful for finding the values of the sides and angles of a right triangle.
For problems involving right triangles, if you have the length of one side (x) and the hypotenuse (r), you can use the Pythagorean theorem to find the length of the other side. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Moreover, you can find the angles aside from the right angle by applying trigonometric functions such as sine, cosine, or tangent, which relate the angles to the lengths of the sides. For example, the sine of an acute angle would be the length of the opposite side divided by the length of the hypotenuse. The cosine would be the adjacent side divided by the hypotenuse, and the tangent would be the opposite side divided by the adjacent side.
Related Questions
Please help solve this question. You are hiking to a ranger station. There is one correct path. You come to a fork and randomly take the path on the left. You come to another fork and randomly take the path on the right. What is the probability you are still on the correct path?
Answers
Answer:
1 out of 3
Step-by-step explanation:
because there is 3 total paths and there is only 1 correct path so it is 1 out of three chances you are on the correct path.
Answer:
1/4
Step-by-step explanation:
P(left) = 1/2
Next,
P(right) = 1/2
1/2 × 1/2
1/4
A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table.
Which statements are correct? Check all that apply.
Answers
Answer: A,C,D
Step-by-step explanation:
Answer:
A,C,D on edg, 2021
Step-by-step explanation:
Use the equation to complete the table.
y = 7x + 1
Input Output
X
Y
10
Answers
Answer:
4 / 29
7 / 50
10 / 71
Step-by-step explanation:
7=7x+1
This means that you multiply the input number by 7 then add 1 then that's the output answer. Hope This Helps!
Given
below, is PQ a minor arc, a major arc, or a semicircle?
A. Minor arc
B. Semicircle C. Major arc
Answers
Answer:
B. Semicircle
Step-by-step explanation:
Semicircle means "half of a circle"
A minor arc is when the arc has a degree of less than 180°
A major arc is when the arc has a degree of more than 180°
If the degree is exactly 180°, then it's a semicircle. And it tells you the degree, which is 180°
Answer:
Semicircle
Step-by-step explanation:
Is 7x and 5x are like terms
Answers
Answer:
Yes
Step-by-step explanation:
Think of x as apples
You have 7 apples and 5 apples you can mix them together and you have 12 apples and you would not be able to sort them apart
7x+5y are not like terms
You have 7 apples and 5 grapes. You can easily tell them apart.
Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.
Answers
Answer:
It has a maximum
Step-by-step explanation:
The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.
I hope this helped!
Please help
Find the polynomial M if 2x^2− 1/3 ax+by−M=0.
Find the polynomial B if 3x^2y− 1/3 xy^3+cy+B=0.
The Y for the second equation is not an exponent.
Thank You
Answers
Answer:
M = 2x² - (ax/3) + by
B = - 3x²y + (xy³/3) - cy
Step-by-step explanation:
Equation 1 is
2x² - (1/3)ax + by - M = 0
M = 2x² - (ax/3) + by
Equation 2
3x²y - (1/3)xy³ + cy + B = 0
B = - 3x²y + (xy³/3) - cy
Hope this Helps!!!
Write an expression and solve it with the given values of the letters: b There are x candies in a bag. 4/9 of all the candies are chocolates. How many candies which are not chocolates are in the bag? (x=36)
Answers
Answer:
There are 20 candies which are not chocolates are in the bag.
Step-by-step explanation:
We are given the following in the question:
Number of candies in bag = [tex]x[/tex]
Number of candies that are chocolate =
[tex]\dfrac{4}{9}\text{ of the total candies}[/tex]
Number of chocolate candies in the bag =
[tex]=\dfrac{4}{9}\times x=\dfrac{4x}{9}[/tex]
We are given that x = 36.
We have to find the number of candies which are not chocolates are in the bag.
Number of chocolate candies in the bag =
[tex]=\dfrac{4}{9}\times 36 = 16[/tex]
There are 16 chocolate candies in the bag.
Number of candies that are not chocolate =
[tex]= 36-16\\=20[/tex]
Thus, there are 20 candies which are not chocolates are in the bag.
Which word best describes the degree of overlap between the two data sets?
low
moderate
none
high
Answers
Answer: In case of data set given with the question, the word that best describes the degree of overlap between the two data set is low
Step-by-step explanation:
Sarina’s dog, Bruno, has to go on a diet! Sarina puts Bruno on a diet plan of daily exercise and a special type of dog food. She estimates Bruno will lose
1 1/2 pounds per week on this plan.
Answer the following questions regarding Bruno's weight loss.
a. How many pounds does Sarina estimate Bruno will lose in 2 weeks?
b.How many pounds does Sarina estimate Bruno will lose in
8 1/2 weeks?
c. Write an equation for this situation. Use w to represent weeks and use p to represent the number of pounds Bruno loses. (Because Bruno is losing weight, the number of pounds he loses will be defined as a negative value.
please help
Answers
In two weeks he will lose 3 pounds
In 8.5 weeks he will lose 12.75 pounds
p= w(-1.5)
2/15, 3/10, 7/30
What is the least common denominator
Answers
Answer:
30
Step-by-step explanation:
to find the least common denominator you can do the GCF of the denominators so 15 10 and 30 so 3*5 2*5 and 2*3*5 so every number is divisible by 30 so its 30
The circumference of a circle is 25 m. What is the area, in square meters?
Express your answer in terms of .
Answers
The area of a circle given its circumference is 49.48 m^2.
The circumference of a circle is 25 m.
Step-by-step:
Use the formula for circumference: Circumference = 2πr, where r is the radius.
Given Circumference = 25 m, then find the radius using the formula: 25 = 2πr.
Calculate the radius: r = 25 / (2π).
Once you find the radius, use the formula for the area of a circle:
Area = πr^2
= π * 25/2π * 25/2π
= 625/(4 * 3.14)
= 49.48 m^2
Therefore, the area of the circle is approximately 49.48 m^2.
A population has a standard deviation of 5.5. What is the standard error of
the sampling distribution if the sample size is 49? Round your answer to two
decimal places.
Answers
Answer:
The standard error of the sampling distribution is [tex]\sigma_x = .79[/tex].
Step-by-step explanation:
We can find the standard error of the sampling distribution using this formula:
The standard deviation of the sampling distribution, also known as the standard error, can be found by taking the population standard deviation and dividing it by the square root of the sample size, both of which we are given in the problem.
[tex]\displaystyle \sigma_x = \frac{5.5}{\sqrt{49 }} = .7857[/tex]Rounded to two decimal places: [tex]\sigma_x = .79[/tex]
The standard error of the sampling distribution if the sample size n = 49 and the population standard deviation σ = 5.5 is .79.
Please someone help me in this
Answers
Answer:
20 watches were made.
Step-by-step explanation:
385=15n+85
300=15n
20=n
Answer:
20 watches
Step-by-step explanation:
385= 15n+85
-85 -85
300=15n
divide both sides by 15
20=n
The radius of a circle is 22 kilometers. What is the circle's circumference?
Use 3.14 for .
Answers
Answer:
138.16 km
Step-by-step explanation:
Circumference=2*pi*radius
22*3.14=69.08
69.08*2=138.16
Answer:
138.16 kilometeres
Step-by-step explanation:
C= 2 *π * r
C= 2 * 3.14* 22
C = 138.16 kilometers
Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : to hearts is 4:3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your answer.
Answers
Answer:
15 cakes can be decorated.
Step-by-step explanation:
Given:
Total number of shapes Liu has = 140
Ratio of shape of stars and hearts = 4 : 3
According to the question:
Each cake have 5 stars and 4 hearts.
Let the number of starts be "4x" and number of hearts be "3x" from the ratio.
Now,
⇒ [tex]4x+3x=140[/tex]
⇒ [tex]7x=140[/tex]
⇒ [tex]x=\frac{140}{7}[/tex]
⇒ [tex]x=20[/tex]
Number of stars = [tex]4x =4(20) =80[/tex]
Number of hearts = [tex]3x=3(20)=60[/tex]
Each cake have 5 stars and 4 hearts .
How many cakes can be decorated with 80 stars.
⇒ No.of cakes = Total number of stars / 5
⇒ [tex]C=\frac{80}{5}[/tex]
⇒ [tex]C=16[/tex]
How many cakes can be decorated with 60 hearts.
⇒ [tex]C=\frac{60}{4}[/tex]
⇒ [tex]C=15[/tex]
But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.
Liu can decorate 15 cakes and only.
Final answer:
Liu can decorate 15 cakes with the 140 shapes she has, given the ratio of stars to hearts and the number of each she wants to put on each cake.
Explanation:
Liu wants to decorate cakes with a total of 140 shapes, where the ratio of the number of stars to hearts is 4:3. To find out how many shapes there are of each type, we first need to determine how many groups of 4 stars and 3 hearts are in 140 shapes.
Total ratio parts = 4 (stars) + 3 (hearts) = 7 parts.
Total groups of shapes = 140 shapes ÷ 7 parts per group = 20 groups.
So, there are 20 groups of stars and 20 groups of hearts. Now, we need to find out how many of each shape there are:
Stars = 20 groups × 4 stars/group = 80 stars
Hearts = 20 groups × 3 hearts/group = 60 hearts
Liu wants to put 5 stars and 4 hearts on each cake. The number of cakes she can decorate is limited by the shape she has the least of, which is the hearts. Now, let's calculate:
Cakes decorated with hearts = 60 hearts ÷ 4 hearts/cake = 15 cakes
Therefore, Liu can decorate 15 cakes with 5 stars and 4 hearts each, since the hearts will run out after 15 cakes.
Solve for x. 2+x/9 = 4/6
Answers
Answer:Solve for x. 2+x/9 = 4/6
Step-by-step explanation:
Solve for x. 2+x/9 = 4/6
Brainlist
Hazel is walking a 5-kilometer race to raise money for a cause. She has walked 2,200 meters. How many more kilometers does she have left to walk?
Answers
Answer:
2.8 km
Step-by-step explanation:
2200 meters = 2200/1000 = 2.2 km
5 - 2.2 = 2.8 km
The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65. On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. How far did the tornado travel? PLEASE HELPPPP
Answers
Hope this helps you I solved it
The table contains data for five students: hours studied, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 4, 7, 8. Column 2 is labeled y with entries 76, 81, 89, 87, 91.
Based on the trend line, what score would you expect after studying for 5 hours?
As the number of hours studying increases, the coressponding test score
Answers
Answer:86 tends to increase
Step-by-step explanation:
just did this
After 5 hours of studying, expected score will be 86.
As the number of hours studying increases, the corresponding test scores also tends to increase.
What is Scatterplots?Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.
Given is a table containing the hours studied, x and the corresponding test scores, y of five students.
x : 1 2 4 7 8
t : 76 81 89 87 91
The trend line is drawn below.
The trend line passes through (2, 81) and (8, 91).
Slope of the line = (91 - 81) / (8 - 2) = 10/6 = 5/3
Equation is of the form y = 5/3 x + c
Substituting the point (2, 81),
81 = 10/3 + c
c = 233/3
Equation of the line is y = 5/3 x + 233/3
When x = 5, y = (5/3 × 5) + 233 / 3 = 86
Hence after 5 hours of studying, there will be a score of 86.
As the number of hours studying increases, the corresponding test scores also tends to increase.
Hence the trend line is given below.
Learn more about Scatterplots here :
https://brainly.com/question/29366075
#SPJ7
Can you work out this math puzzle?
Answers
Answer
Answer is 20 because the traingle is 10 the circle is 5 and the half of square is 2
The value of the missing puzzle after summing each shape is 17
From the puzzle :
Triangle = 30 ÷ 3 = 10Circles :(10 + 2x) = 202x = 20 - 10x = 10 ÷ 2 x = 5Hence, circles = 5
Squares :
5 + 2x = 13 2x = 13 - 5 2x = 8x = 4Hence, squares = 4
Half of a square = 4 ÷ 2 = 2
For the missing puzzle :
Triangle + circle + half square10 + 5 + 2 = 17Hence, the value of the puzzle is 17
Learn more : https://brainly.com/question/16104717?referrer=searchResults
What is the inverse of *
y = log, 8
Answers
Answer:
if [tex]log_{10}8[/tex] then no solution, but if [tex]log_{8}[/tex] then the answer is [tex]y=8^x[/tex]
Step-by-step explanation:
it depends if its a common logarithm or of ot a logarithm of a base of 8. normally, a common logarithm would look like [tex]log_{10}x[/tex] or it will look like [tex]logx[/tex]. the 10 does not need to be visible to be a common logarithm. if the function is base 8 like i suspect then it will look like[tex]log_{8}[/tex]. the inverse of a logarithmic function is an exponential function. sorry if that made your brain hurt.
what is the value of x?
Answers
solve for x 3(x + 4) = 21
Answers
Answer:
x=3
Step-by-step explanation:
3+4=7
3x7=21
Answer:
x=3
Step-by-step explanation:
3(x+4) = 21
3x+12 = 21
3x+ 12 = 21
-12 = + 12
3x = 9
3x = 9
[tex]\frac{3x}{3}[/tex] = [tex]\frac{9}{3}[/tex]
x = 3
Help please!!!!!!!!!!!!!!!!
Answers
Answer:
3
Step-by-step explanation:
they always make some kind of angle usually 90 degress.
what is (-9x)+(-14x)=?
Answers
Answer:
-23x
Step-by-step explanation:
(-9x)+(-14x)
Combine like terms
Factor out the x
x (-9 + -14)
x (-23)
-23x
Answer:
-23x
Step-by-step explanation:
add -9 and -14
Select the option that best describes the relationship between the variables on the scatterplot... PLEASE HELP
Answers
Answer:
Negative, linear
Step-by-step explanation:
If you look at it, it is relatively in a line and the values are going down.
Answer:
Negative, linear association
Step-by-step explanation:
i know because i got it correct
Use the Pythagorean Theorem to prove that the three sides of the triangle are the three sides of a right triangle. Show all of your work.
2, 4, 2
Answers
Answer:
it’s not a right triangle
Step-by-step explanation:
2^2 + 2^2 = 8 < 4^2
solve the equation for x
-2(-4-6x)=-10+3x
Answers
Answer:
x= -2Step-by-step explanation:
[tex]-2(-4-6x)=-10+3x \: [/tex]
[tex]8 + 12x = - 10 + 3x[/tex]
[tex]12x - 3x = - 10 - 8[/tex]
[tex]9x = - 18[/tex]
[tex]x = \frac{ - 18}{9} = - 2[/tex]
Which statement about population parameters and point estimates is false?
Answers
Answer: s is the population standard deviation. it is the square of the variance.
Step-by-step explanation:
i just did the quiz
Answer:
B
Step-by-step explanation:
A P E X