B: The width of the vegetable bed is 5 feet. The length is 13 feet.
Use abc to find the trigonometric ratios. Enter your answer as fractions
Answer:
Tan <A = 4/3
Cos <A = 3/5
Sin <A = 4/5
Step-by-step explanation:
From the diagram given
Hypotenuse AB = 10
Adjacent = 6
Opposite = 8 (side facingc<A)
According to SOH CAH TOA
Tan <A = Opposite/adjacent
Tan <A = BC/AC
Tan <A = 8/6
Tan <A = 4/3
For Cos <A;
Cos <A = adj/hyp
Cos <A = 6/10
Cos <A = 3/5
For sin<A:
Sin <A = opp/hyp
Sin <A = 8/10
Sin <A = 4/5
please help. the packet is due tonight
Answer:
[C] [tex]\displaystyle \frac{-3}{250}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationConjugationsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Limit Property [Multiplied Constant]: [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]DerivativesDefinition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{\sqrt{x - 4}}[/tex]
[tex]\displaystyle g(29)[/tex]
Step 2: Differentiate
Substitute in function [Function g(x)]: [tex]\displaystyle g(x) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{x + h - 4}} - \frac{3}{\sqrt{x - 4}}}{h}[/tex]Substitute in x [Function g(x)]: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{29 + h - 4}} - \frac{3}{\sqrt{29 - 4}}}{h}[/tex]Simplify: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{25 + h}} - \frac{3}{5}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15}{5\sqrt{25 + h}} - \frac{3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex][Subtraction] Combine like terms: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15 - 3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex]Factor: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3(5 - \sqrt{25 + h})}{5\sqrt{25 + h}}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{3(5 - \sqrt{25 + h})}{5h\sqrt{25 + h}}[/tex]Rewrite [Limit Property - Multiplied Constant]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}}[/tex]Root Conjugation: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}} \cdot \frac{5 + \sqrt{25 + h}}{5 + \sqrt{25 + h}}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{5h\sqrt{25 + h} + h^2 + 25h}[/tex]Factor: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{h(5\sqrt{25 + h} + h + 25)}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + h} + h + 25}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + 0} + 0 + 25}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \cdot \frac{-1}{50}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{-3}{250}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Can anyone answer the first 2
Answer:
what is this
Step-by-step explanation:
Value of x? Complementary angles, easy.
Answer:
14 = x
Hope that this helps!
Question 4 of 12
Write a point-slope equation for the line that passes through the point (1, 22)
and is parallel to the line given by y = 14x-3. Do not use parenthesis on the y
side.
Answer:
y - 22 = 14(x - 1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 14x - 3 ← is in slope- intercept form
with slope m = 14
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 14 and (a, b) = (1, 22) , then
y - 22 = 14(x - 1)
The lateral area of a cylinder is 3,620 square inches. The radius is 9 inches. Describe the height of the cylinder in terms of inches.
Answer:
64.05 in
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π= 3.14
r = radius = 9
h = height
3620 = 2 x 3.14 x 9 x h
3620 = 56.52h
h = 3620 / 56.52
h = 64.05 in
Arrange these numbers in order, starting from the smallest. 3/4 , 0 , -1 , -17/20 , -4/5
Answer:
-1, -17/20, -4/5, 0, 3/4
Step-by-step explanation:
Answer:
-1, -17/20, -4/5, 0, 3/4
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
Someone tell me what this question is
Answer:
Orange juice that is 3 dollars per 1 jug
Step-by-step explanation:
A unit rate is per 1 of an item
The only 1 that is per 1 of an item is
Orange juice that is 3 dollars per 1 jug
Answer:
❍ The cost of orange juice is $ 3 per 1 jug.
Step-by-step explanation:
Unit rate means second quantity is 1.For example :- 20 per 1 litre. where, first quantity is 20 and second quantity is 1 .So, The cost of orange juice is $ 3 per 1 jug is represent the unit rate.
Please help!! I'm super confused
Answer:
36cm
Step-by-step explanation:
7cm+11cm = 17cm
8cm +11cm=18cm
18cm+17cm=36cm
Check whether the number 465798 is divisible by 9. Write the steps.
Answer:
No, the answer would be 51755.3 (repeating), so no.
Step-by-step explanation:
Find the value of x
please help
Answer:
It's 4+33-37 so that's the answer
1/8 pens are in a bag and is to be shared between 3 people . What fraction of pen should each person get?
Answer:
1/24
Step-by-step explanation:
1/8 divided 3/1
1/8 x 1/3=1/24
Sarah's gross income last month was £1260. She pays 20% tax on her gross income. How much tax did Sarah pay last month?
Answer:
£252
Step-by-step explanation:
20% of £1260 = £252
The surface area of a cube is S(x) = 6x?, where x is the length of the side of each edge of a cube, Restrict the domain to create a one-to-one
function. Find and describe the inverse function.
Answer:
Restrict values of x to . Then the surface area function is one-to-one and has an inverse.
Write y instead of S(x). Interchange x and y, then solve for y.
This function could be used to find the edge of a cube with a given surface area. For example, if the area is x = 54, then the edge is
Step-by-step explanation:
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
To It’s centered around 0.25 then the parameter would be 0.25.
We have given,
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25
We have to determine which of the given is most likely the population parameter.
What is the center parameter in the large sample?
A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.
To It’s centered around 0.25 then the parameter would be 0.25
Therefore option A(0.25) is correct
To It’s centered around 0.25 then the parameter would be 0.25.
To learn more about the population parameter visit:
https://brainly.com/question/2292917
#SPJ2
The number of lawns l that a volunteer can mow in a day varies inversely with the number of
shrubs s that need to be pruned that day. If the volunteer can prune 6 shrubs and mow 8
lawns in one day, then how many lawns can be mowed if there are only 3 shrubs to be
pruned?
Answer:
12
Step-by-step explanation:
divide 8 by 6
=1.333333333333
1.333333333333 times 9
=12
edsedsedsedsedseds HELP PLZ FAST
Answer:
12x + 300 = 450
Step-by-step explanation:
Overtime payment = $12/hWeekly income = $300Overtime hours = x
Equation:
12x + 300 = 450Which is a solution for the following system of inequalities?pls help :3
(0,5)
(0,-2)
(1,-1)
(0,0)
what is psychology?
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Step-by-step explanation:
The equation of the graphed line is 2x – 3y = 12.
What is the x-intercept of the graph?
14
7
6
6-
5
4.
02
o 0를
31
N
6
1
5-4-3-2-14
1 2 3 4 6 1 x
-2 -3 5
Answer: 6
Step-by-step explanation:
The x-intercept of the given graph is 6.
What is x-intercept?The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis.
The x-intercept is the point at which the graph of an equation crosses the x-axis.
The intercept of a line is the point on a graph where the line crosses an axis
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.
Given is an equation of a line, 2x-3y = 12, we need to find x-intercept of the graph,
To find the x-intercept of the graph, just put y = 0 in the equation given,
2x-3y = 12, when y = 0
2x = 12
x = 6
Hence, the x-intercept of the given graph is 6.
Learn more about x-intercept click;
https://brainly.com/question/14180189
#SPJ7
the width of a rectangle is 2x²+9x-7 and the length is x²-9. Find the perimeter of the rectangle.
Answer:
---
Step-by-step explanation:
W=2x²+9x-7
L=x²-9
2(3x²+9x-16)
6x²+18x-32
The bold is the perimeter.
---
hope it helps
HELP! A triangle on the coordinate plane has (-8,3),(3,9), and (9,3). What is the area, in square units, of the triangle?
Answer: i believe the answer is 51
Step-by-step explanation:
Someone help me please!
Answer:
The radius is 25 cm
A
Step-by-step explanation:
Area =[tex]\pi[/tex]* r^2
Area = 625 * [tex]\pi[/tex]
625 [tex]\pi[/tex] = [tex]\pi[/tex] * r^2 The [tex]\pi[/tex]s cancel out
r^2 = 625 Take the square roots of both sides
sqrt(r^2) = sqrt(625)
r = 25
Determine the value of 'X
Answer:
x=22° hope it helps:)
Step-by-step explanation:
Please mark it the brainliest if you won't mind:)
(:
Answer:
x =22
Step-by-step explanation:
ABCD is a parallelogram. In parallelogram, adjacent angles are supplementary.
∠B +∠C = 180
4x + 12 + 3x + 14 = 180
Combine like terms
4x +3x + 12+ 14 = 180
7x + 26 = 180 {Subtract 26 from both sides}
7x = 180 - 26
7x = 154 {Divide both sides by 7}
x = 154/7
x = 22
Now that you know the height of the cone how can you solve for the slant height?
Answer:
imagine a triangle
one side is just upwards trough the cone, one side is the radius of the circle and the last one is the slant height.
remember the pythagoras stuff
so
(slantheight)² = radius² + height²
or finally:
slantheight = squareroot (radius² + height²)
The graph of an absolute value function = a|x| includes the point (1,6). Complete the following statements. The value of a is ____
Answer:
6
Step-by-step explanation:
y = f(x)
6 = a |1 |
6 = a. 1
a = 6/1
a = 6
Answer:
[tex] \displaystyle a = 6[/tex]
Step-by-step explanation:
we are given a absolute value function
[tex] \displaystyle f(x) = a |x| [/tex]
we want to figure out the value of a
since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus
substitute:
[tex] \displaystyle 6= a \cdot |1| [/tex]
absolute value of any integer is positive therefore,
[tex] \displaystyle 6= a \cdot 1[/tex]
simplify multiplication:
[tex] \displaystyle 6= a [/tex]
hence,
the value of a is [tex]\underline{\quad 6 \quad}[/tex]
what is the median of 4, 4, 7, 13, 12, 9
Answer:
8.11
Step-by-step explanation:
4+4+7+13+12+9 = 49
divide that by 6
========================================================
Explanation:
Sort the data set to go from {4,4,7,13,12,9} to {4,4,7,9,12,13}
Next, cross off the first and last items to get this smaller set: {4,7,9,12}
Repeat the last step to get this even smaller set: {7,9}
We can see that 7 & 9 are tied for the middle most positions. Add them up and divide by 2 to find the midpoint
(7+9)/2 = 16/2 = 8
The median is 8
The times (in minutes) of a runner’s last 10 runs are 88, 65, 88, 49, 60, 71, 56, 87, 64, and 52. Find the standard deviation of the run times. Interpret your result.
Answer:
Standard deviation = 12.8 Approx.
Step-by-step explanation:
Given series;
88, 65, 88, 49, 60, 71, 56, 87, 64, and 52.
Find:
Standard deviation
Computation:
Assume mean (a) = 60
x d(x - a) d²
88 28 784
65 5 25
88 28 784
49 -11 121
60 0 0
71 11 121
56 -4 16
87 27 729
64 4 16
52 -8 64
Σd = 80 Σd² = 2,660
So,
Standard deviation = √[Σd² / N] - [Σd / N]²
Standard deviation = √[2260 / 10] - [80 / 10]²
Standard deviation = √226 - 64
Standard deviation = √162
Standard deviation = 12.8 Approx.
the amount of rupees 1008 enumal rate 10% is rupees 1200 find the instrest
Answer:
Step-by-step explanation:
Amount=Principal + Interest
1200=1008 + interest
1200-1008=interest
rupees 192 = Interest
