Analyze the diagram below and answer the question that follows.
Which of the following best describes triangle GFH?
A.
isosceles triangle
B.
acute triangle
C.
scalene triangle
D.
right triangle
Answers
The correct answer is C.
Hope this helps : )
Related Questions
Find the volume of this oblique pyramid.
Answers
HELP PLEASE!!! (I will give brainliest to the first one to answer)
Your friend lives exactly 3 miles south of your house. That means the distance between your houses is negative three (-3) miles. Answer yes or no and explain your answer.
Answers
The statement that "the distance between your houses is negative three (-3) miles" is correct.
What is a cartesian coordinate?A Cartesian coordinate system on a plane is a coordinate system in which each point is uniquely specified by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicularly oriented lines measured in the same unit of length.
If we assume that your house is the origin of a graph, and each unit square on the graph is equal to 1 square mile. Therefore, if your friend's house is exactly south of your house then it will be on the y-axis that too in the negative direction.
Therefore, the statement that "the distance between your houses is negative three (-3) miles" is correct.
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The howler monkeys at a zoo are fed a diet that contains 3.35 kcal/gram. Write a function g(x) that gives the mass of food in grams that a howler monkey must eat to obtain x kilocalories of energy.
Answers
For this item, we assume that g(x) is the total energy that the howler monkey needs to obtain and x is the amount of food in grams. From the presented concept in the first paragraph,
amount of energy = (3.35 kcal/gram) x (amount of food)
g(x) = 3.35x
The top of a cliff overlooking the ocean is 250 feet above sea level. The sea floor at the foot of the cliff is 40 feet below sea level. A rock falls off the cliff and drops toe the sea floor. What number represents the change in elevation of the rock.
Answers
The change in elevation of the rock is 290 feet.
Explanation:The change in elevation of the rock can be calculated by finding the difference in height between the top of the cliff and the sea floor.
Given that the top of the cliff is 250 feet above sea level and the sea floor is 40 feet below sea level, we can calculate the change in elevation by subtracting the elevation of the sea floor from the elevation of the top of the cliff.
The change in elevation is therefore 250 feet - (-40 feet), which simplifies to 250 feet + 40 feet = 290 feet. So, the number that represents the change in elevation of the rock is 290 feet.
Given the sequence: {2, 8, 32, 128, 512…}, S12 = ???
Answers
8/2 = 4
32/8 = 4
128/32 = 4
512/128 = 4
The common ratio is 4. The equation for geometric sequence for the sum of terms is:
[tex]S_{n} = \frac{ A_{1}( r^{n}-1) }{r-1} [/tex]
where n is the last term of the progression
A1 is the first term of the progression
r is the common ratio
Substituting the values,
[tex]S_{12} = \frac{2( 4^{12}-1) }{4-1} [/tex]
S12 = 11,184,810
Find the area of the figure. PLEASE HELP
Answers
find area of larger figure
then subtract area of cut out
larger figure 40 *36 = 1440 square yards
cut out = 20 *10 = 200 square yards
1440-200 = 1240 square yards total
The isometric dot paper shoes 2 vertices 1 edge of the cube structure . Complete the isometric drawing
Answers
what is the value of m in the equation 4m + 2(m + 1) = 9m + 5
Answers
4m+2(m+1)=9m +5
4m+2m+2=9m+5
6m+2=9m+5
6m+2-6m= 9m+5-6m
2-5=3m+5-5
-3/3=3m/3
m=-1
Select all that apply. Which of the following ratios are equivalent?
A. 3 to 4
B. 3/4
C. 6/7
D. 15/20
Answers
Answer:
A,B,D
Step-by-step explanation:
What is the slope of the line determined by any two solutions to the equation $\frac{2}{x}+\frac{3}{y} = 0$? Express your answer as a common fraction.
Answers
Final answer:
To determine the slope, solve for y in terms of x, resulting in the equation y = (-3/2)x. Hence, the slope of the line described by the equation 2/x + 3/y = 0 is -3/2.
Explanation:
To find the slope of the line determined by any two solutions to the equation 2/x + 3/y = 0, let's begin by solving for y in terms of x.
First, we isolate the term 3/y:
2/x = -3/y
Then we cross-multiply and get:
2y = -3x
Now we solve for y:
y = (-3/2)x
This is now in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, there is no y-intercept since the line passes through the origin.
The slope m is -3/2. So any two solutions to the original equation will yield a line with a slope of -3/2.
if the interest rate is 3% and a total of $4,370.91 will be paid to you at the end of 3 years, what is the present value of that sum? a. 3,900.00 b. 3,947.00 c. 3,977.40 d. 4,000.00
Answers
A=p (1+r)^t
A future value 4370.91
P present value?
R interest rate 0.03
T 3years
We need to solve for p
P=A÷(1+r)^t
P=4,370.91÷(1+0.03)^(3)
P=4,000.00
(03.05 LC)
What is the volume of a cone (in cubic inches) with a radius of 3 inches and a height of 6 inches?
Use 3.14 for π. Round your answer to the nearest hundredth.
18.84 cubic inches
28.26 cubic inches
56.52 cubic inches
169.56 cubic inches
Answers
V = 1/3* pi * 3^2*6 = 56.54 cubic inch,
so ... Third one!!
The volume of the cone is 56.52 cubic inches.
What is a cone?Having a flat base and a smooth tapering tip or vertex, a cone is a three-dimensional geometric object.
Given, the radius of the cone is 3 inches and the height of the cone is 6 inches.
The volume of a cone is given by,
V=(1/3)πr²h
V = (1/3) × 3.14 × 3² ×6
V = 56.52 cubic inches
Hence, the volume of the cone is 56.52 cubic inches.
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a man divided $9000 among his wife , son and daughter. the wife received twice as much as the daughter and the son received $1000 more than the daughter how much did each receive
with working please
thank you
Answers
2D. D+1000. D
9000= 2d + D+1000 + D
9000= 4d + 1000
-1000
8000=4d
D=2000
So the daughter got 2000$
The son got 3000$ because it's 1000 more than the daughter which is 2000
And the mom got 4000 which is twice the daughters.
You can check by adding them together. 2000+3000+4000 is 9000.
Are theses right ? Or are some wrong please let me know wrong and right ones
Answers
A kite with a string 50 meters long makes an angle of elevation of 58o with the ground, assuming the string is straight, how high is the kite? Round your answer to the nearest tenth of a foot.
Answers
An angle of elevation of 58 degrees with the ground means that the angle started at the x-axis and terminates on the first quadrant region through a counter clockwise direction. Imagining a triangle, the string of the kite becomes the hypotenuse, the angle 58 degrees is the angle between the hypotenuse and the ground, and the height of the kite is the side opposite to the angle.
Therefore, we can calculate for the height of the kite using the sin function:
sin θ = opposite side / hypotenuse
sin 58 = opposite side / 50 m
opposite side = 50 m * sin 58
opposite side = 42.4 m
Therefore the kite is about 42.4 m above the ground.
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York:
High Low Q1 Q3 IQR Median Mean σ
Rome 18 1 3 7 4 6.5 6.4 4.3
NY 14 1 4.5 8.5 4 5.5 6.1 3.2
Which of the choices below best describes how to measure the center of this data?
- Both centers are best described with the mean.
-Both centers are best described with the median.
- The Rome data center is best described by the mean. The New York data center is best described by the median.
-The Rome data center is best described by the median. The New York data center is best described by the mean.
Answers
Final answer:
For Rome, both the mean and the median are almost identical, suggesting a well-balanced data set and either can be used to describe the center. For New York, the median might be a better measure if the data are skewed or contain outliers, but more information would be needed to make a definitive judgment.
Explanation:
When considering the best measure to describe the center of a data set, we should look at the presence of outliers and the distribution of the data. The mean is the numerical average and is sensitive to extreme values, while the median is the middle value that splits the data set in half and is less affected by outliers.
For Rome, the mean is 6.4 and the median is 6.5, which are very close to each other, indicating that the data is likely symmetric without extreme outliers. Thus, in Rome's case, either the mean or the median could serve as a good measure of center. On the other hand, New York's mean is 6.1 and the median is 5.5, suggesting slightly skewed data or the presence of outliers. However, without more data points or visual representation, it's difficult to determine which is more representative solely based on these summary statistics.
Considering the provided values and common statistical practice, the centers can potentially be described as follows:
The Rome data center can be best described by either the mean or the median as they are similar.
The New York data center might be best described by the median if outliers or skewness are present.
nutrient level required to maintain energy and growth what is it called
Answers
the area of Juan's garden after he adds a border x feet wide is equal to (3+2x)(6+2x) which polynomial represents the area of Juan's garden?
A. 4x^4+30x+18
B. 4x^2+22x+27
C. 4x^2+18x+18
D. 4x^2+6x+18
Answers
18 + 6x + 12x + 4x² =
4x² + 18x + 18
on a particular day, the Dow Jones had a rate of change of 2.8%. Which of the following statements must also be true?
-The average of the 30 stocks in the Dow Jones increased.
-The NASDAQ decreased.
-The S&P 500 increased.
-Every stock in the Dow Jones increased.
Answers
Answer
THE AVERAGE OF THE 30 STOCKS IN THE DOW JONES INCREASED
Step-by-step explanation:
If at least one independent variable is between-groups and at least one is within-groups, the design is referred to as:
Answers
A variable is an object that you are trying to measure. It has two types; independent and dependent variable. An independent variable is a variable that is not affected by other variables. A dependent variable on the other hand is a variable that depends on the other variables. Suppose you want to know the quality of sleep of the students in their academic performance. The quality of sleep is the independent variable and the academic performance is the dependent variable. There are also controlled variables in an experiment. A controlled experiment is an experimental setup designed to test the hypotheses. It has one or more conditions (independent variables) and measures (dependent variables). It is necessary to change more than one variable, but all of the experimental conditions will be controlled so that only the variables being examined change and the amount or way of change is measured.
%) points. Brainliest.
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5/9 (F − 32)
Which of the following formulas correctly solves for F?
F = 9/5C + 32
F = 9/5C − 32
F = 9C + 32/5
F = 9C − 32/5
Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100
Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols)
Answers
Let's take the first question, we have to turn the equation [tex]C = 5/9 (F − 32)[/tex] into a formula that correctly solves for F. First, let's switch the sides of the equation.
[tex]\frac{5}{9}\left(F-32\right)=C[/tex]
Divide both sides by 5/9. We are doing this to undo the multiplication.
[tex]\frac{\frac{5}{9}\left(F-32\right)}{\frac{5}{9}}=\frac{C}{\frac{5}{9}}[/tex]
[tex]F-32=\frac{9C}{5}[/tex]
Add 32 to both sides.
[tex]F-32+32=\frac{9C}{5}+32[/tex]
[tex]F=\frac{9C}{5}+32[/tex]
We have successfully gotten the formula to get F.
For the second question, we could use a graph for this. Since we want to reach the 400, then the inequality should reach that too. We should be careful though, since the profit will depend on the number of books you will sell, then the profit should be on the y-axis, and the number of books should be on the x-axis. The answer would be 50 ≤ x ≤ 100
For the third question, we can also infer that the 35 students that did not like skating should represent the 25% of the students. So, we could set up a proportion.
[tex] \frac{35}{25} = \frac{x}{75} [/tex]
We would then multiply, and then divide.
[tex](35*75)/25=105[/tex]
Now we know that the number of students who liked skating was 105 students.
-TetraFish
9c + 32/5=f this is the answer
i think
How many years will it take $1,000 invested at 7% interest to earn $280?
Answers
280/70 = 4
It will take 4 years.
A game is biased such that the choices A-J have the following probabilities of winning: A 5% B 10% C 15% D 5% E 5% F 25% G 10% H 10% I 10% J 5% If you chose the letters D and H for 20 turns, how many times are you most likely to win? 1 2 3 4 5
Answers
Since we have chosen 2 letters, then the total probability of winning the game is the sum of the probabilities of each letter. Therefore:
Total probability of winning = Probability of D + Probability of H
Total probability of winning = 5% + 10%
Total probability of winning = 15%
Since we are playing the game for 20 turns, therefore out of those 20 games, we will win 15% of the time. So:
15% = 0.15
Winning times = 0.15 * 20
Winning times = 3
Therefore we have a chance or probability to win at least 3 games out of 20 turns.
Answer:
C: 3
Step-by-step explanation:
The fraction 10/19 is in lowest terms
Answers
Answer:
True
Step-by-step explanation:
Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 10 degree angle. If the river is 420 feet across, how far downstream will you end up?
Answers
To solve this problem, we use the tan function. The distance across the river is the adjacent side, the distance drownstream is the opposite side while the direction of the boat is the hypotenuse.
tan θ = opposite side / adjacent side
tan 10 = opposite side / 420 ft
opposite side = 74.06 ft
Therefore the boat will move about 74 ft downstream.
The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 20x + 50, where x is the number of months.
What is the slope, and what does it represent?
Answers
Answer:
The answer is 20 and it represents the monthly fee.
Step-by-step explanation:
Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.
Tiles
h = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = {(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = {(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
Pairs
Sets of Points Representing Inverse Functions Sets of Points Representing Functions
h-1 = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
arrowBoth
i -1 = {(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
arrowBoth
g-1 = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
arrowBoth
f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
arrowBoth
NextReset
Answers
f is f-1, g is g-1, h is h-1 and i is i-1.
To explain why the inverse of
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)
Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.
Each pair has the inverse points corresponding to the points in the original set.
To match the sets of points representing one-to-one functions with the sets of points representing their inverse functions, we need to find the pairs where each point in one set corresponds to the inverse point in the other set.
Here are the matches:
1. Set of Points Representing Function: [tex]\( h = \{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\} \)[/tex]
Set of Points Representing Inverse Function: [tex]\( h^{-1} = \{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\} \)[/tex]
2. Set of Points Representing Function: [tex]\( g = \{(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)\} \)[/tex]
Set of Points Representing Inverse Function: [tex]\( g^{-1} = \{(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)\} \)[/tex]
3. Set of Points Representing Function: [tex]\( f = \{(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)\} \)[/tex]
Set of Points Representing Inverse Function: [tex]\( f^{-1} = \{(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)\} \)[/tex]
4. Set of Points Representing Function: [tex]\( i = \{(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)\} \)[/tex]
Set of Points Representing Inverse Function: [tex]\( i^{-1} = \{(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)\} \)[/tex]
Each pair has the inverse points corresponding to the points in the original set.
Which is equivalent to 5√1,215^x?
A)243x
B)1,215^1/5x
C)1,215^1/5x
D)243^1/x
Answers
Answer:
Option C is correct
The expression [tex](1215)^{\frac{1}{5}x}[/tex] is equivalent to [tex]\sqrt[5]{1215^x}[/tex]
Step-by-step explanation:
Simplify the radical Expression: [tex]\sqrt[5]{1215^x}[/tex]
A radical expression can be written by using the exponents and also using the following procedure:
[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]
when x be non-negative then n can be any index
when x is negative, then n can be odd.
The following radical expression can be written as:
[tex]\sqrt[5]{1215^x} = (1215^x)^{\frac{1}{5}}[/tex] = [tex](1215)^{\frac{1}{5}x}[/tex]
Therefore, the expression [tex](1215)^{\frac{1}{5}x}[/tex] is equivalent to [tex]\sqrt[5]{1215^x}[/tex]
Why is it difficult to measure circumference accurately? answers?
Answers
One of either the circumference or distance across is not rational. If you have a bit of string precisely 1 inch long and you make it into an idealize circle, the distance across of that circle will be an irrational value. You could try to measure it, however regardless of how precisely you measured it, it would in any case not be very sufficiently precise. So, you can never know precisely what the diameter is just by measuring.
What's more, on the off chance that you took that string and made a width with it, the circumference would be irrational and you could never have the capacity to measure the circumference precisely enough. Whatever you quantified would be close however not correct.
Find the value of x in the figure below. Round to the nearest tenth.
6.7
20
4
15