Answer:
-30
Step-by-step explanation:
The scuba driver is below the sea and ground level which is 0 ft, and he dives down 30 ft so it should be negative.
Hope it helps!
On a coordinate plane, triangle K J L is shown. Line segment G H goes from side J K to J L. Point K is at (0, 0), point G is at (e, f), point J is at (2 e, 2 f), point H is at (e + d, f), and point L is at (2 d, 0).
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.
Based on the triangle midpoint theorem, the statement which must be shown is that: B. the length of GH is half the length of KL.
What is triangle midpoint theorem?Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.
Based on the triangle midpoint theorem, we can infer and logically deduce that the statement which must be shown is that the length of GH is half the length of KL.
Read more on triangle midpoint theorem here: https://brainly.com/question/16047906
#SPJ1
Answer: B. The length of GH is half the length of KL.
Step-by-step explanation: TRUST ME! The answer is correct on Edge. :)
Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ1
The problem: take two solutions and plug them into the original equation. To check for extraneous solutions.
Answer: х=3.
Step-by-step explanation:
А point is missing here: determining the allowable values of x for this equation.
1. Consider the right side of the equation:
The root expression 2x+3 must be greater than or equal to 0.
2x+3≥0
2x≥-3\ |:2
x≥-1,5.
2. Consider the left side of the equation:
the left side of the equation must be greater than or equal to 0.
x≥0.
We get x≥0. ⇒
х=3 ∈ х≥0
х=-1 ∉ х≥0.
How many grams of protein are needed per day by a male non-athlete, weighing 87 kilograms?.
70 grams of protein are needed per day by a male non-athlete, weighing 87 kilograms.
87 kg x 0.8 g protein/kg/day
= 69.6 g protein/day,
Rounded up to 70 g/day.
Maximum American adults eat approximately a hundred grams of protein consistent with a day or roughly two times the advocated amount. Even on a vegan weight-reduction plan people can effortlessly get 60 to eighty grams of protein for the duration of the day from foods like beans, legumes, nuts, broccoli, and entire grains.
The encouraged Dietary Allowance (RDA), which is the minimal amount you want to be healthy, is 0.8 grams in line with a kilogram (zero.36 grams consistent with pound) of body weight in keeping with day 46 grams for a median woman.
Learn more about proteins here https://brainly.com/question/10058019
#SPJ4
The population of classroom grows x squared in one year. the current population of classroom is 12. in one year. one the las day of the year, each person in the classroom eats 3 slices of pizza. if an entire pizza cost $26.60, how much money does a class spend per year on pizza. a pizza has 8 slices. (sorry if this makes no sense teacher made up on the spot)
The class spends $1436.4 per year on pizza. Since the population grows x² in one year, the strength of the class on the last day of the year is 12² = 144.
How to find the total population of the class in one year?It is given that,
The current population of the classroom is 12. I.e., x = 12
So, at the end of the year, the population of the class = x²
⇒ 12² = 144
Thus, the population of the classroom on the end day of the year is 144.
How many slices of pizza are required for this population in the class?It is given that,
On the last day of the year, each person in the classroom eats 3 slices of pizza.
So, 144 persons eat,
144 × 3 = 432 slices of pizza
Thus, 432 slices of pizza are required for the given population.
How much money does a class spend per year on pizza?It is given that,
A single pizza has 8 slices and every single pizza costs $26.60.
Since there are 432 slices, then the number of pizzas
= 432/8
= 54 pizzas
Then, the cost of 54 pizza's = 54 × $26.60 = $1436.4
Therefore, $1436.4 was spent on pizza per year.
Refer to more such problems here:
https://brainly.com/question/12024841
#SPJ4
Ten women sit in 10 seats in a line. All of the 10 get up and then reseat themselves using all 10 seats, each sitting in the seat she was in before or a seat next to the one she occupied before. In how many ways can the women be reseated
Women can be seated in 89 ways.
Let Sn be the number of possible seating arrangements with n women. Consider n≥3 and focus on the rightmost woman. If she goes back to her seat, then there are Sn−1 ways to seat the remaining n−1 women. If he is sitting in the penultimate seat, then the woman who was sitting there before must now sit in the rightmost seat.
This gives us Sn−2 ways to seat another n−2 woman, so we get the recursion Sn=Sn−1+Sn−2. Starting with S1=1 and S2=2 we can calculate S10=89.
For more information about permutation, visit https://brainly.com/question/11732255
#SPJ4
Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference. 7, 9, 10, 12, ....
The sequence is neither geometric nor arithmetic
How to determine the sequence type?The sequence is given as:
7, 9, 10, 12, ....
Calculate the common difference to determine if the sequence is arithmetic;
d = 12- 10 = 10 - 9 = 9 - 7
Evaluate
d = 2 = 1 = 2
The above is false because 2 and 1 are not equal.
So, the sequence is not arithmetic
Calculate the common ratio to determine if the sequence is geometric;
r = 12/10 = 10 /9 = 9/7
Evaluate
r = 1.2 = 1.11 = 1.29
The above is false because the numbers are not equal.
So, the sequence is not geometric.
Hence, the sequence is neither geometric nor arithmetic
Read more about sequence at:
https://brainly.com/question/6561461
#SPJ1
A college student takes the same number of credits each semester. Before beginning college, the student had some credits earned while in high school. After 3 semesters, the student had 41 credits, and after 6 semesters, the student had 68 credits. If C(t), is the number of credits after t semesters, write the equation that correctly models this situation.
Answer:
C(t) = 9t + 14
Step-by-step explanation:
write two equations with the given information
x + 6y = 68
x + 3y = 41
(x and y are just random variables, with x being the number of credits from high school and y being the number of credits earned each semester)
subtract (x+3y=41) from (x+6y=68) to get 3y=27
y = 9
then plug back in to one of the equations to find x
x + 3(9) = 41
x + 27 = 41
x = 14
then write the equation for C(t)
C(t) = 9t + 14
because you start with 14 credits from high school then add 9 credits for each semester taken
Keep the triangle that you created in part A. You will now copy the triangle to a different location on the grid using three of its sides:
In a different place on the grid, draw a new line segment that is parallel to and has the same length as AB. Label this segment DE.
Next, copy AC and BC . A reliable way to do this is to draw a circle centered on each endpoint of your new line segment. Make the radius of each circle equal to each of the lengths of the two remaining line segments on the original triangle. One of the intersection points of the two circles marks the third vertex of your new triangle. Place a point on the intersection, and label the point F.
Finish copying the triangle by drawing a polygon through the three points that you've established.
You should now have two triangles on the grid. What do you notice about the two triangles in terms of their size and shape?
The thing that I notice about the two triangles in terms of their size and shape is that they that is the triangles tend to appear to be of the same size and shape.
What are Congruent triangles?Congruent triangles are known to be triangles that are said to have both the same shape and also of the same size for the two triangles.
Note that in the case above, we need to understand that the factors of a triangle are composed of 3 angles and the 3 facets and when you put the three together following the description given, a Congruent triangle will be formed.
Therefore, The thing that I notice about the two triangles in terms of their size and shape is that they that is the triangles tend to appear to be of the same size and shape.
Learn more about congruent triangles from
https://brainly.com/question/2938476
#SPJ1
A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing (in m/min)
Answer:
Let R be the radius of the tank, H(t) the height of the water at time t, and V(t) the volume of the water. The quantities V(t), R and H(t) are related by the equation
V(t) = πR²H(t) ___(1)
The rate of increase of the volume is the derivative with respect to time,
dV/dt
and the rate of increase of the height is
dH/dt
We can therefore restate the given and the unknown as follows
Given:
dV/dt = 4m³/min
Unknown:
dH/dt
Now we take derivative of each side of (1) with respect to t:
dV/dt = πR²dH/dt
So
dH/dt = 1/πR²dV/dt
Substituting R = 3 m and dV/dt = 4m³/min we have
dH/dt = 1/π(3)² ⋅ 4 = 4/9π
Answer: the height of the water increasing at a rate of
dH/dt = 4/9π²
≈ 0.14 m/minhere are 7 healthy blue fish, 3 unhealthy yellow fish, 8 healthy green fish, and 3 unhealthy blue fish in a tank. what is the probability of catching a healthy blue fish?
Answer: 1/3
Step-by-step explanation:
7/21=1/3
The Residential Energy Consumption Survey found in 2001 that 47% of American households had internet access. A market survey organization repeated this study in a certain town with 25,000 households, using a simple random sample of 500 households: 239 of the sample households had internet access. Of the 500 sample households, 7 had three or more large-screen TVs. Among the sample households, 121 had no car, 172 had one car, and 207 had two or more cars. Estimate the percentage of households in the town with one or more cars; attach a standard error to the estimate. If this is not possible, explain why not.
The percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.
According to statement we have given
239 of the 500 households in the sample had internet access.
So, find sample percentage then
Sample percentage= 500/239 =0.478=47.8%
Thus we estimate the percentage as 47.8%.
The box contains 25,000 tickets of which 47.8% are 1's and the remaining 52.2% tickets are 0's. We will draw 500 tickets from the box.
Number of draws=500
Now, find the SD then
[tex]SD= (Big number - Small number) * \sqrt{Fraction with big number * fraction with small number}[/tex]
Substitute the values then
[tex]SD= (1 - 0) * \sqrt{0.478 *0.522}[/tex]
[tex]SD=0.4995[/tex]
Now find the standard error of sum then
The standard error of the sum is the product of the square root of the number of draws and the standard deviation of the box.
[tex]SE sum =\sqrt{Number of draws} * SD box[/tex]
[tex]SE sum =\sqrt{500} * 0.4995[/tex]
[tex]SE sum =11.16[/tex]
Now find the standard error of percentage then
The standard error of the percentage is the standard error for the sum divided by the sample size.
SE percentage= SE for number/Number of draws ×100%
= 50011.1692×100%
≈0.022×100%
=2.2%
Thus the percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.
Learn more about STANDARD DEVIATION here https://brainly.com/question/4079902
#SPJ4
If a translation maps ∠I onto ∠K, which of the following statements is true?
IMPORTANT!!!!!
The statement which is true is ΔGHI ~ ΔGJK.
What is Translation?This is commonly used in geometry to describe a function which moves object at distances.
This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.
The triangles given are HGI and JGK.
Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.
It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.
Read more about Translation here https://brainly.com/question/16253702
#SPJ1
Answer:
ΔGHI ~ ΔGJK
Step-by-step explanation:
What is the answer to this
Answer:
i need help
Step-by-step explanation:
What can be concluded from the statement ∠1 + ∠2 = 90°?
The sum of measures of angles A and B is 90°
Hence the angles are complementary
As complementary angles have sum 90°A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.09. In a sample of 260 graduates, 20 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are __________.
The test static value is 1.44 and its associated p-value is 0.1335.
Given that the problem deals with the concept of test for single proportion. The parameter of the interest is the population proportion of graduates with GPA of 3.00 or below is less than 0.09.
Let the population proportion be p=0.09.
Let the number of graduates in a sample be n=260.
Let the number of students have a GPA of 3.00 or below be x=20.
Based on the known data, the null and alternative hypothesis are,
H₀:p≥0.09
H₁:p<0.09
The sample proportion of students have a GPA of 3.00 or below is,
[tex]\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{20}{260}\\ &=0.07\end[/tex]
Under the null hypothesis, the test static value is,
[tex]\begin{aligned}z&=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ &=\frac{0.07-0.09}{\sqrt{\frac{0.09(1-0.09)}{260}}}\\ &=\frac{-0.02}{0.018}\\ &=-1.11\end[/tex]
The p-value for the left-tailed test is
p-value=p(z<-1.11)
p-value=0.1335
Hence, the value of the test statistic and its associated p-value for the proportion of graduates with a GPA of 3.00 or below is less than 0.09. are 1.44 and 0.1335.
Learn more about null hypothesis from here brainly.com/question/9954556
#SPJ4
hola alguien habla español parece que en esta region hablan ingles
Answer:
yo si apenas me lo descargue
Which multiplication expression is equivalent to
x+8 2x+16
x² 2x² ?
O
O
ㅎ
X + 8
x + 8
32
X + 8
2
x²
DONE
●
●
2x²
2x + 16
2x + 16
2x²
2x²
2x + 16
Answer:
x=0.5×1±√33
Step-by-step explanation:
x+8=x² and 2(x+8)=2x²
x²-x-8=0
PLEASE HELP QUICK I WILL MAKE BRAINLIEST: Put the following four numbers in order from least to greatest:
$A.\ 4 \cdot \sqrt{5}\\ B.\ 6 \cdot \sqrt{2}\\ C.\ 5 \cdot \sqrt{3}\\ D.\ 9$
Write your answer as a list of letters, separated by commas. For example, if you believe A is the smallest, B is the next-smallest, C is the next-smallest, and D is the largest, you would write A, B, C, D.
Answer: D, B, C, A
Step-by-step explanation:
A: [tex]4^5 = 1024[/tex]
B: [tex]6^2=36[/tex]
C: [tex]5^3=125[/tex]
D: [tex]9[/tex]
D, B, C, A
It is estimated that recycling 1 ton of paper saves about 17 trees. About how many trees are saved if 8254 ton of paper are recycled
Answer:
142318 trees
Step-by-step explanation:
8254x17=140318
y Ask...
Find the value of x.
5 in
10 in
OA. 5√3 in
OB. 2√41 in
C. 9
OD. 5√5 in
Answer:
OPTION A [ 5√3 in ]- Please see the attached picture for full solution!:)
--------------- HappY LearninG <3 ------------
Compare the linear relationships.
Linear equation A: y=3x
Linear equation B is partially represented by the points in this table.
x y
5 20
7 28
9 36
Which linear equation has the greater slope? Why?
Select the option that correctly answers both questions.
Equation A has the greater slope. It has a slope of 4, and equation B has a slope of 3, which is smaller.
Equation A has the greater slope. It has a slope of 4 textsf comma and equation B has a slope of 3 textsf comma which is smaller.
Equation B has the greater slope. It has a slope of 8, and equation A has a slope of 3, which is smaller.
Equation B has the greater slope. It has a slope of 8 textsf comma and equation A has a slope of 3 textsf comma which is smaller.
Equation B has the greater slope. It has a slope of 4, and equation A has a slope of 3, which is smaller.
Equation B has the greater slope. It has a slope of 4 textsf comma and equation A has a slope of 3 textsf comma which is smaller.
Equation A has the greater slope. It has a slope of 8, and equation B has a slope of 3, which is smaller.
Answer:
1: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
2: We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.
A: For example: If you pay 30 dollars a month for your cell phone and 10 cents per minute of usage the monthly cost of using your cell phone would be a linear equation of a function, C, the monthly cost based on the number of minutes you use monthly.
Answer:
Option 3 is the correct answer :)
Step-by-step explanation:
Which equation represents the function graphed on the coordinate plane? g(x) = |x 1| 3 g(x) = |x 3| – 1 g(x) = |x – 1| 3 g(x) = |x 3| 1
The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.
A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The graph is shown.
In the graph, the mode function is given.
If the subtracts 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.
Then the correct equation that represents the graph is g(x) = |x – 1| + 3.
Learn more about function at
brainly.com/question/5245372
#SPJ4
Answer:
Step-by-step explanation:
The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.
What is a function?
A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The graph is shown.
In the graph, the mode function is given.
If the subtract 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.
Then the correct equation that represents the graph is g(x) = |x – 1| + 3.
More about the function link is given below.
brainly.com/question/5245372
#SPJ2
helppp i need it cmonn
Answer:
uhhh i think its a carrot
Step-by-step explanation:
There are 3 yellow fish, 5 blue fish, and 7 green fish in a tank. What is the probability of catching an orange fish?
Answer: there's no orange fish
People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
dot plot
box plot
stem-and-leaf plot
histogram
The graphs to use are box plots, histogram and dot plots
How to determine the graph?From the question, the most important factors are:
Shape of distributionSpread of dataUsing the box plots, histogram and dot plots, one would see the shape and the spread.
While the stem and leaf plot would show specific data values
Read more about graphs at:
https://brainly.com/question/24461724
#SPJ1
An object is pulled up a ramp with a 25° incline. the force required to move the object is 300 pounds. what is the component form of the force vector?
Answer: D, (272,127)
Step-by-step explanation:
sorry it’s late but just took it on edge
You run around the perimeter of a baseball field at a rate of at most 8 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?
The possible amount of time is 90 seconds that it takes you to run around the baseball field
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The options are missing.
The options are:
90 seconds100 seconds110 seconds120 secondsWe have a radius of the circle is:
r = 150 ft
The perimeter of the circle = 2πr = 2π(150) = 300π ft
The running path distance = 40% of the perimeter of the circle
= 40% of 300π
= 120π ft
Assume the tape length is 50 m
Total distance = 200 + 200 + 120π - 50 = 726.99
The rate is 8 feet per second.
Time = distance/rate = 726.99/8 = 90.87 ≈ 90 seconds
Thus, the possible amount of time is 90 seconds that it takes you to run around the baseball field
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
The vertex of a parabola is at -25 what is its equation
The equation of the parabola described by means of its vertex in the task content is; y = x² -25.
What is the equation big the parabola?It follows from the task content that the equation of the the parabola can be determined from.its vertex.
Hence, the equation of the parabola from by virtue by virtue big the vertex given is;
y = (x-0)² -25
Hence, it follows that the equation of the parabola is;
y = x² -25.
Read more on vertex of a parabola;
https://brainly.com/question/1480401
#SPJ1
anybody know the solution?
The reciprocal relationship of the graph is graph (a)
How to determine the reciprocal relationship?The reciprocal relationship implies that:
The x and the y axes are swapped.
When the x and the y axes are swapped, the value on both axes swap their positions
As per the given graph, the reciprocal relationship is represented by graph (a)
This is shown in the attached graph
Read more about reciprocal relationship at:
https://brainly.com/question/2321596
#SPJ1