A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the circumference of the circular base of the cone and = 120°. Find:
a. the angle between [A F] and the base of the cone
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A[tex]\hat O[/tex]C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
The line parallel to y = −x that passes through (5, 5.5). The equation of the line that passes through (5, 5.5) is y =
The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.
So you plug 5 and 5.5 into the equation y = -x + b.
5.5 = -5 + b
Add 5 to both sides.
10.5 = b
So, y = -x + 10.5
2,000x + 6,000 = 3,500x - 39,000
For 2 minutes, a satellite traveled at a steady speed. It traveled 380 kilometers around Earth in that time. What was the satellite's speed?
Answer: The satellites speed was 190 kilometers per minute.
Step-by-step explanation:
The formula for speed is calculated as:
Speed = Distance/Time
where,
Distance = 380 kilometers
Time = 2 minutes
Speed = Distance/Time
Speed = 380km/2min
Speed = 190km/min
The satellites speed was 190 kilometers per minute.
Therefore, the correct answer is C.
PLS HELP!! Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, How long would it take Lin and Noah to run 1 mile at that rate? PLS ANSWER!!
Answer:
Lin will run 1 mile in 8/55 of an hour
Noah will run 1 mile in 2/13 of an hour
Step-by-step explanation:
Here;
Lin ran 2 3/4 miles in 2/5 of an hour
he will run 1 mile in x hour
x * 2 3/4 = 2/5 * 1
2 3/4 = 11/4
x * 11/4 = 2/5
x = 2/5 * 4/11
x = 8/55 hour
For Noah
8 2/3 miles in 4/3 of an hour
1 miles in y hours
y * 8 2/3 = 4/3 * 1
y * 26/3 = 4/3
y = 4/3 * 3/26
y = 4/26 = 2/13
He will run 1 mile in 2/13 hours
Determine the zeros or roots of each function or equation. You can use the quadratic equation if you need to.
f(x)=-8x^2+2x+1
Write an equation of the line passing through point$P(4,-6) that is perpendicular to the line y=-3 . x=
Answer:
x = 4
Step-by-step explanation:
y = - 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 6) with x- coordinate 4, thus
x = 4 ← equation of perpendicular line
Can anyone help me identifying pounds and liters ;-;
Answer:
sure but can u help me ban 50070356 he or she is using my pfp as hers
Step-by-step explanation:
need help plzz answer
You start at (-2,-4). You move down 1 unit and right 6 units. Where do you end
Answer:
(4,3)
Step-by-step explanation:
moving down 1 unit makes the point (-2,3)
moving 6 units to the right makes the point(4,3)
the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible
Answer:B
Step-by-step explanation: edge 2020
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
352, 345, 338, ...
Find the 37th term.
Answer:
09
Step-by-step explanation:
Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)
Answer:
Add a picture of the graph please?
Step-by-step explanation:
6. 108 is how many times as large as 2. 103?
Answer:
54 times larger than 2
Step-by-step explanation:
108 divided by 2 is 54
The slope of the line below is -8/7.
Answer:
A
Step-by-step explanation:
Kayty please help me!
What's the square root?
Answer:
Square root
Step-by-step explanation:
a number which produces a specified quantity when multiplied by itself
Look at the figure. Which of the following segments is not skew to
Ej?
Answer:
AE
Step-by-step explanation:
Because it intersects with EJ.
Whereas skew lines are those that do not inersect and not parallel with each other.
Hope it helps :)
Answer: AE
Step-by-step explanation:
I just took a science test and got a 80% on the test. CBA's are 50% of our grade and I had a 98% in science class. How much will my grade drop?, what will my new grade be?
Answer:
89%
Step-by-step explanation:
Answer:
Grade drops 9 percentage points.
New overall grade is 89%
Step-by-step explanation:
The test with a score of 80% accounts for 50% of the grade.
The current average of 98% accounts for the other 50% of the grade.
50% of 80% + 50% of 98% =
= 40% + 49%
= 89%
The new overall grade is 89%.
Since the previous overall grade, before the test, was 98%,
and 98% - 89% = 9%, then
the new grade is 9 percentage points lower than the previous overall grade.
There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT?
Answer:
10:15
Step-by-step explanation:
five and four hundred three thousandths in standard form
Answer:
5.403
Step-by-step explanation:
Five is 5. Four hundred three thousandths is .403. the 3 is in the thousandths the 4 is in the tenths and the 0 is in the hundredths, and the 5 is a whole number.
what is the absolute value of -3/5
Answer:
3/5
Step-by-step explanation:
absolute value is always positive
I NEED HELP ASAP
The equation y+6
- 5(x-9) is written in point-slope form. What is the equation written in slope-intercept form
Max bought 16 gallons of gas for 40.64 Lydia bought 12 falls of gas for 31.08 kesia bought 18 gallons of gas for 45.72 who got the Best Buy
Find the distance between the points (-3,7)
and
(6, 7).
Answer:
9
Step-by-step explanation:
use the distance formula:
[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]
so, with your two points, x2=6, x1=-3, y2=7, and y1=7
so then just plug in the values
[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]
because you have 6 minus a negative number, it turns into 6+3, like shown
[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]
so then add and subtract the parenthesis
[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]
so then because 0 squared is just zero, you simply have the square root of 9 squared
[tex]\sqrt{9^{2} }[/tex]
so then square the 9
[tex]\sqrt{81}[/tex]
then take the square root of 81, and you get 9!
[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]
The distance between the points (-3, 7) and (6, 7) is 9.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
(-3, 7) = (a, b)
(6, 7) = (c , d)
Now,
Distance between these two points.
= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
= √(6 + 3)² + (7 - 7)²
= √9²
= 9
Thus,
The distance between the points is 9.
Learn more about distance of a line here:
https://brainly.com/question/14645718
#SPJ2
Someone pls help me!!! (7th grade math work) will mark as Brainliest
SHOW WORK PLSSSSKSKSKS
Answer:
J. 42 = x 57 100Step-by-step explanation:
last year won 57 games
this year won 15 games
the difference is 57 - 15 = 42,
this means it drops 42 / 57 = 0.73 (100%) ≈ 73%
therefore, the percentage decrease from the given choices is: J
42 = x
57 100
The graph of y = f(x) is shown. Choose all the true statements.
−2 is a member of the domain of f.
−2 is a member of the range of f.
f(0) > 0
f(2) > 2
Answer:
−2 is a member of the domain of f.
f(0) > 0
Step-by-step explanation:
Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.
Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.
Statement 3 is TRUE.
f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.
Therefore, f(0) > 0.
Statement 4 is INCORRECT.
f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.
The sales of a certain product after an initial release can be found by the equation s=10√5t+15 where s represents the total sales (in thousands) and t represents the time in weeks after release. about $78 about $415,000 about $78,000 about $415
Answer:
About $78
Step-by-step explanation:
The company is not complete. The question is to estimate the sales 8 weeks after release. To do that, we will substitute t = 8 into the modeled function s=10√5t+15
s = 10√5(8) + 15
s = 10√40 + 15
s =10(6.32)+15
s = 63.2+15
s = 78.2
Hence the sales after 8weeks is about $78.
I don't understand why the answer is y=3x+1.
I got y =3x-6
please help me.
Answer: Answer is y= 3x+1
Step-by-step explanation:
Use point slope form y-y°=m(x-x°)
Find m, the slope: subtract the y values of the points, and divide that with the number you get when you subtract the x values of the points.
You should get m=3
Take either of the points, I’ll choose (0,1) because they are easy to use. Substitute 0 for x° and 1 for y°.
y-(1)=3(x-(0)) Substitute (0,1)
y-1=3x Simplify
y=3x+1 Add 1 to both sides and you’re done
Which of the following statements cannot be assumed from the diagram?
Answer:
Can you give me any more context?
Solution for y = 3x -1