Answer:
Height of the silo = 18 feet.
Step-by-step explanation:
From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.
Farmer is standing at 8 ft distance from the silo.
From triangle AEC,
tan(∠CAE) = CE/AE=5/8
m(∠CAE) = tan-1 (5/8)
= 32°
m∠BAE = 90° - 32° = 58°
From the triangle ABE,
tan58° = BE/AE
BE = 8tan58°
BE = 12.8 ft
Total height of the silo = BE + EC
= 12.8 + 5
= 17.8
≈ 18 ft
Therefore, the total height of the silo is 18 ft.
What is 17 divided by 9
solve for x
give an exact answer
Answer:
x = -1
Step-by-step explanation:
0.5(5-7x)=8-(4x+6) note.......0.5 = 1/2
(1/2) ( 5 - 7x) = 8 - 4x - 6
(1/2) (5 - 7x) = 2 - 4x multipy through by 2
5 - 7x = 4 - 8x add 8x to both sides.......subtract 5 from both sides
x = -1
What is a root of a polynomial function?
Answer:
d. a value of the variable that makes the polynomial equal to zero
Someone please help. This is Delta Math
Answer:
uyt6?
Step-by-step explanation:
Round 0.12406667 to the nearest hundredth
Answer:
Step-by-step explanation:
0.124
i need help please i dont get this
Answer:
See attached
Step-by-step explanation:
You want the solution to the inequality -12x < -48 shown on a number line.
SolutionThe solution to the inequality is found by dividing by the x-coefficient
-12x < -48
x > 4 . . . . . . . divide by -12
When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.
GraphThe value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.
The graph of the solution is shown in the attachment.
__
Additional comment
Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...
48 < 12x
Now, you can divide by 12 without worrying about the inequality symbol:
4 < x . . . . . same as above
Please help with this Khan Question :)
Answer:
the answer is A
Step-by-step explanation:
Your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost. How much did the shoes cost? Write and solve an equation, let s represent the cost of the shoes.
The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.
Let s represent the cost of the shoes.
Now, equation is
8% of s=10
8/100 ×s=10
0.08s=10
s=10/0.08
s=$125
Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
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the circles with the centre at P and Q are such that each passes through the centre of the other. the circle intersect at points R and S as shown
what is the measure of ∠PRQ
a.45⁰
b.50⁰
c.60⁰
d.90⁰
Answer:
C) 60°
Step-by-step explanation:
Each side of the triangle is a radius of the circle. Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.
find the value of r so the line that passes through each pair of points has the given slope (5, 3), (r, -5), m=4
Answer:
r=3
Step-by-step explanation:
use slope formula : y2-y1 / x2-x1
-5-3 / r-5
the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4
so r-5 = -2
3-5 = -2
.......................
Answer:
Direct variation
Step-by-step explanation:
Given
[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]
Required
The type of variation
The given equation represents a direct variation.
A direct variation is:
[tex]a = kb[/tex]
Where
[tex]k\to[/tex] constant of variation
Make k the subject
[tex]k = \frac{a}{b}[/tex]
For corresponding values of and b, we have:
[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]
Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation
Which object has the largest resultant force?
10N-
10N-
30 N-
A
C
30 N
5N
-5N
10N-
5N-
5N-
5N-
B
D
10N
10 N
Answer:
To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.
In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.
For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.
For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.
For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.
For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.
Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.
Use Exponential Functions
From the table below, determine whether the data shows an exponential function. Explain why or why not.
a. No; the domain values are at regular intervals.
b. No; a different value is added to each range value.
c. No; there is no relationship between the x value and its corresponding y value.
d. Yes; the domain values are at regular intervals and the range values have a common factor 2.
Please select the best answer from the choices provided
Answer:
C. No; there is no relationship between the x value and its corresponding y value.
Step-by-step explanation:
I calculated it logically
Answer:
The correct answer c. No; there is no relationship between the x value and its corresponding y value
odd function f(x) is defined for all real values of x. for the function g(x)=2.3+f(x-9), calculate g(6)+g(8)+g(10)+h(12).
Answer:
easy theanswer is -14x
Step-by-step explanation:
Can someone show the work and answer ASAP
so 15 miles is the answer❤
Step-by-step explanation:
4²+5²=x²
16+25= 41
x²=41
x= 6.4
5+4+6= 15
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Answer: B y = -4/7x + 7
Step-by-step explanation:
The equation in the form y = mx + b
m = -4/7 and b = 7
Equation: y = -4/7x + 7
The angle bisectors of triangle ABC are , , and . They meet at a single point . (In other words, is the incenter of .) Suppose , , , and .
To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.
In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.
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HELP I have been stuck on this problem for a bit now
Answer:
16
Step-by-step explanation:
72/2 = 36
Square root of 36 is 6; 6 x 2 = 12
square root of 4 is 2 and 2^2 equals 4.
12 +4 =16
Mark me brainliest please
Answer:
16
Step-by-step explanation:
72/2=36
square root 36=6
6*2=12
root4 squared is 4
12+4=16
Hope that helps :)
encircle the number that are divisible by 2 a.4224 b.3012 c.8817 d. 10172
Answer:
a,b,c are divisible by 2
How do you do numb 3. please help
Step-by-step explanation:
first we need to identify the lines themselves.
the line from bottom left to top right is simply
y = x
the line is solid, so the points on the line are included.
the dotted line (the points on the line itself are not included) goes through
(0, 2) and (3, 0)
the y-intercept is therefore 2 (the y value when x = 0).
and for the slope
x changes by +3 (from 0 to 3).
y changes by -2 (from 2 to 0).
the slope is -2/+3 = -2/3
and the line is
y = (-2/3)x + 2
we see that the desired gray area is above both lines (">"), and we need to consider, whether the points in the lines are included or not.
so, the system of inequalities is
y >= x
y > (-2/3)x + 2
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
Marina, everyone has a tough time with this type of math problem, just send me a note if you get stuck on these. :P
You're given two points,
P1 = (-4,8) in the form (x1,y1)
P2 = (1,3) in the form (x2,y2) ( I made the forms, so can you )
slope = m
m = (y2-y1) / (x2-x1)
m = (3-8) / ( 1 - (-4))
m = -5 / (1 + 4)
m = -5 / 5
m = -1
now use the point-slope formula
y-y1=m(x-x1)
y-(8) = -1(x-(-4))
y-8 = -1(x+4)
y-8 = -x -4
y = -x-4+8
y = -x +4
That's the equation :P
PLZ HELP I WILL GIVE YOU POINTS PLZ!!!
Create a stem-and-leaf plot to organize the data.
40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89
Enter your answers in the boxes to correctly complete the table
Create a stem-and-leaf plot to organize the data.
40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89
Enter your answers in the boxes to correctly complete the table.
Anwnser:
1...3
Step-by-step explanation:
i dont know how to explain Hope it helps
Answer:
hi
Step-by-step explanation:
4 0 8 9
5 2 5
6 4
7 0 1 2 2 8 8 9
8 7 9
A 50 Gram Sample of a substance that used to treat thyroid disorders has a K-value of 0.1113. What is the half life? thanks
The half life of the iodine is obtained as 6.2 s.
What is the half life?
Let us recall that the half life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.
Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;
Half life = 0.693/K
Half life = 0.693/0.1113
Half life = 6.2 s
It would have the half life about 6.2 s.
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Question 1 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5. √20
☐
A. 100
B. 5.2
C. 10
D. √5 √√5√4
E. √5 20
F. √25
.
SUBMIT
Choices that is equivalent to the expression √5. √20 is 5.2
Define equivalence.In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
x= (5)^1/2*(20)^1/2
x= (5)^1/2*(2.2.5)^1/2
x=5.2
So B is the correct option.
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A squre has 12cm length find it's area and perimeter
Answer:
a=L² is is the formula for the area of square. where L represent the length.
a=(12cm)²
a=144cm²
p=4(L) is the formula for the perimeter of a square. where L represent the length
p=4(12cm)
p=48cm
The table shows a cricket club's income in 2016 from a fete, a quiz and membership fees.
Income
Fete
£250
Quiz
Entry fees
Refreshments
13 at £5 each
£35
25 at £20 each
Membership fees
Express as a ratio
the income from the fete to the income from the quiz to the income from membership
fees.
Give your ratio in its simplest form.
Answer: 5:2:10
Income from fete = £250
13 x 5 + 35 = 100
25 x 20 = 500
250:100:500
Then simplify ratio -
25:10:50
5:2:10
Which of the following ordered pairs is a solution to y = 2X?
O (3,6)
O (3,9)
O (3.8)
O (3.27)
Answer:3,9
Step-by-step explanation:
Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?
Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.
What is percent error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.
Percent Error Formula
The formula for percent error is:
PE = (|Estimated value-Actual value|/ Actual value) × 100
Given,
Actual length of the book = 24 cm
Actual width of the book = 16 cm
Dana's estimated length of the book = 40 cm
Dana's estimated width of the book = 20 cm
Error in measurement of length of the book =
(Measured Length - Actual Length/Actual length) × 100
= (40 - 24/24) ×100 = 66.67%
Error in measurement of width of the book =
(Measured width - Actual width/Actual width) × 100
= (20 - 16 / 16) × 100 = 25%
Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.
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Find the slope of the line.
How many unique tree graphs (i.e. with different degree patterns) can be made with
4 vertices?
a) 0
b) 1
c) 2
d) 3