Answer:
false. the sqrt of -1 = i
Step-by-step explanation:
A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?
Answer:
L = 18,4 ft
Step-by-step explanation:
The building, the ground, and the ladder make up a right triangle, with legs:
The distance (a) between the bottom of the ladder and the building 12 ft
The distance (b) between the gound and the window 14 ft up
The hypothenuse is the length of the ladder (L)
According to Pythagoras theorem
L² = a² + b²
L = √ (12)² + (14)²
L = √ 144 + 196
L = √ 340
L = 18,4 ft
Write an equation that passes through the point (1, 3) and is perpendicular to x – 2y = -8.
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
y=½x+5
Step-by-step explanation:
Passes through, (1,3)
Perpendicular to x-2y=-8.
Step 1
write the equation in form of y=mx+c
x-2y=8
-2y=-x+8
Dividing both sides of the equation by -2 we get;
y=-x/2+8
y=-½x+8
Thus the gradient is -½. Call it M1
Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e
M1 × M2= -1
Solve for M2
-½×M2=-1.
Dividing both sides by -½ we get
M2=-1×-2
M2=2Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8
Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).
Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.
Slope=∆x/∆y
M2=(x-1)/(y-3)
but M2 is 2
2=(x-1)/(y-3)
2/1=(x-1)/(y-3) Note: 2= 2/1
Cross multiplying we get:
2(y-3)=1(x-1)
Open the brackets
2y-6=x-1
Solve for y so as to write the equation in form of y=mx+c
2y=x-1 +6
2y=x+5
Divide both sides of the equation by 2
y=x/2+5
y=½x+5Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
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Find the rate of change
Answer:
The rate of change of function is: 2
Step-by-step explanation:
Using the given table we have to exclude two pairs of input and output.
The rate of change or slope of function is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We take first two pairs of input/output from the table
(x1,y1) = (1,11)
(x2,y2) = (2,13)
Putting the values
[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]
Hence,
The rate of change of function is: 2
(WHO EVER HELPS ME GETS BRAINLIEST AND EXTRA POINTSSSSS :D )
Answer:d
D. 9 and 46/180
Step-by-step explanation:
Answer:
Ok thank you for your efforts
Step-by-step explanation:
The answer is D 9 46/180
what expression gives the solution to -5+2x^2=-6x
Answer:
Step-by-step explanation:
2x² + 6x - 5 = 0
D = 36 + 40 = 76 = (2√19)²
[tex]x_{1}[/tex] = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2
[tex]x_{2}[/tex] = ( - 3 + √19) / 2
Graph the system of equations on your graph paper to answer the question. y = - x + 4, \qquad y = x - 2 What is the solution for the system of equations? Enter your answer by filling in the boxes.
Answer:
y=x+2
y=-x+8
Step-by-step explanation:
find the output when x = 6
Answer:
5
Step-by-step explanation:
the points is also given on graph
(6,5)
A store buys lawnmowers from the manufacturer and marks
up the price by 40% to arrive at a retail price. Fill in the
blank: The wholesale price is times the retail price.
Answer:
0.7142857
Step-by-step explanation:
Let wholesale price = x
Retail price = 40% Markup of wholesale price
Retail price = (100 + 40)% of x
Retail price = 140% of x
Retail price = 140/100 * x
Retail price = 1.4x
Hence,
Wholesale price / retail price
x / 1.4x
= 0.7142857
Hence, wholesale price is 0.7142857 of the retailer price
help find the missing lengths round to nearest tenth
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!
The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .
A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.
One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
We know when we add all the angles of any given triangle it is 180°
∴ a° + b° + c° = 180°
or, a° + b° = 180° - c°
Now we know that a linear pair the sum of the angles is 180°.
∴c° + f° = 180°
or, f° = 180° - c°
So from the above two equations we can say that
f° = a° + b°
Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.
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Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°
Answer:
Last option is the correct answer.
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex]
Step-by-step explanation:
Since, 61° + 57° + 61° = 179° < 180°
Therefore,
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex] cannot be the measurements of triangle ABC.
a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.
I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4
I just need help with part b and I'm struggling to do it. Please help.
Answer:
Step-by-step explanation:
b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive
Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.
Answer: 4. Transporting quests to and from the airport and sightseeing trips.
Step-by-step explanation:
Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.
Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.
A ping pong ball has a diameter of 4cm. How many ping pong balls will fit in a room that is 9.5 meters long, 7.5 meters wide, and 3 meters high?(Hint: 1 meter = 100 centimeters)
Answer:
6042915 balls.
Step-by-step explanation:
Volume of a ping pong ball is;
V = (4/3)πr³
diameter of ping pong ball is given 4cm = 0.04 m
Radius; r = 0.04/2 = 0.02 m
V = (4/3)π(0.02³)
V = 0.00003351032 m³
Room is 9.5 meters long, 7.5 meters wide, and 3 meters high.
Volume; V = 9 × 7.5 × 3 = 202.5 m³
Number of ping pong balls that will fit into the room = volume of room/volume of ping pong balls = 202.5/0.00003351032 = 6042914.540956151
Approximately 6042915 balls.
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
The sum of 4 thirteens and 16 thirteens, need answer ASAP :(
Answer:
260?
Step-by-step explanation:
I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.
The sum of 4 thirteens and 16 thirteens is 260.
What is the meaning of sum?
You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.
Here, 4 thirteens = 4 × 13 = 52
16 thirteens = 16 × 13 = 208
Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260
Hence, 260 is the correct answer.
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In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?
Answer:
42 ft
Step-by-step explanation:
4.2/1=4.2
4.2*10=42 ft
PLS GIVE BRAINLIEST
Answer:
42
Step-by-step explanation:
1 cm=10ft on the diagram
so the only thing we have to do is multiply.
4.2x10=42 make sure your answer is in FT not CM
so for example
42ft. Units are important XD
The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams
ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!
Answer:
ummm did you need help or....
Step-by-step explanation:
cause you got the answer right....
what is the difference between (4,4) and (1,-3)
Answer:
7/3
Step-by-step explanation:
If I solved it correctly, you use y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
HELP
A house on the market was valued at $357,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What
is the current value of the house
Decrease :
Current value :
Answer:
$324,870.00
Step-by-step explanation:
357,000.00 x .09 = $32,130.00
357,000.00 - $$32,130.00 = $324,870.00
5.) According to the Bureau of Labor Statistics, in 2012, 33% of
all American computer systems analysts were women. 145,000
women were doing this job. How many men were doing the same
job?
a. 47,850
b. 439,394
c. 294,394
d. 584,394
PSA this is due the 12th so please help me
Maria, Bill, and Eric have a total of $95 in their wallets. Maria has 10 less than Bill. Eric has 3 times what Bill has. How much does each have?
Plz help.
Answer:
[tex] \boxed{Maria \: got \: \$11} \\ \boxed{Bill \: has \: \$21} \\ \boxed{ Eric \: has \: \$63}[/tex]
Step-by-step explanation:
[tex]let \: maria \: be \to \: m \\ let \: eric \: be \to \: e \\let \: bill \: be \to \: b \\then : m =b - 10 \: and \: e = 3b \\ but : m + b + e = 95 \\ hence \to \: (b - 10) + b + (3b) = 95 \\ 2b - 10 + 3b = 95 \\ 5b = 95 + 10 \\ 5b = 105 \\ \boxed{b = 21} \\ m = b - 10 = 21 - 10 \\ \boxed{ m = 11} \\ e = 3b = 3(21) \\ \boxed{e= 63}[/tex]
♨Rage♨
Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer
Answer:
The area of given figure is: 179.3
Step-by-step explanation:
The figure consists of a rectangle and a semi-circle
The length of rectangle is 14 and width is 10.
The width of rectangle is also the diameter of the semi-circle.
So,
d = 10
[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]
Area of Semi-Circle:
[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]
Area of Rectangle:
[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]
The total area will be the sum of area of rectangle and the area of semi-circle
So,
[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]
Rounding off to nearest tenth
The total area is: 179.3
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
PLEASE HELP ME I NEED THIS DONE SOON AND I DKNT UNDERSTAND IT
Answer:
Step-by-step explanation:
1/2 + b + h
Okay so we know that b is 6 and that h is 10 so we can change the question to this : 1/2 + 6 + 10. We know that 1/2 is also writen as 0.5 , now all you need to do is 0.5 + 6 + 10 = 16.5 . The question asks to round to the nearest 10th so you need to add a 0 after the 5 so you can round up or down.
16.50
Now you need to look at the 10th number which is 5 and to round it up you need to look at the number after that which would be 0, we know that anything that is 4 or below gets rounded down so your answer for this question is simply 16.5.
I hope that helped you and good luck!
1.Given the rotation of triangle ABC shown below, determine the counter-clockwise angle of rotation that occurred about point D. Show all relevant lines and measurements you made to determine your answer.
A) 180°
B) 90°
C) 130°
D) 50°
Answer:
D. 50º
Step-by-step explanation:
According to the image below attached, blue lines represents line segments [tex]DB[/tex] and [tex]DB'[/tex], the red line creates a right angle regarding [tex]DB[/tex] (90º), where green line creates a flat angle with the same respect (180º). The angle between [tex]DB[/tex] and [tex]DB'[/tex] is less than 90º and 180º, meaning an acute angle. Therefore, the right answer is D.
Solve for the value of c.
Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11