9514 1404 393
Answer:
56 feet
Step-by-step explanation:
Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...
(x+9)² = x² +(x -23)²
0 = x² -64x +448 . . . . . subtract the left side, put in standard form
0 = (x -8)(x -56) . . . . . . factor
The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.
The pole is 56 feet tall.
A map of an island is shown on a half-centimetre grid,
where A, B and Care houses.
The actual distance between A and B
is 960 metres.
a) Work out the scale on the map.
A
Give your answer in the form 1:n
+
(2)
b) Work out the actual distance
between A and C in kilometres.
Your final line must say, AC = ... km
c
(4)
Total marks: 6
Answer:
The answer is b.
Step-by-step explanation:
Answer:
a) 1:48000 b)1.6128km
Step-by-step explanation:
Gross income: $408.68
Deductions: $98.98
Net income: $_
Answer: $507.66
Step-by-step explanation:
408.68 + 98.98 = 507.66
Question 5 (1 point)
Solve the inequality for x.
- 3x + 6 < 15
Ox>-3
Ox<-3
0x<-7
Ox>-7
Answer:
x > -3
Step-by-step explanation:
-3x + 6 < 15
-3x < 15 - 6
-3x < 9
-x < 3
x > -3
A. x > -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−3x + 6 − 6 < 15 − 6
−3x < 9
Step 2: Divide both sides by -3.
−3x/−3 < 9/−3
x > −3
I need an Answer not a link.
Answer: C
Step-by-step explanation:
Plz tell me if i am wrong
Question
The value of y varies directly as the cube of u and y = 54 when I = 3. Find the equation that represents this relationship.
Answer:
2x^3
Step-by-step explanation:
The equation that represents this relationship will be y = 2u³.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The value of y varies directly as the cube of u. y = 54 when u = 3.
y ∝ u³
Removed the proportionality constant and place the equal sign with constant k.
y = ku³
Put y = 54 when u = 3, then the value of k will be
54 = k (3)³
54 = 27k
k = 2
Then the equation that represents this relationship will be
y = 2u³
The equation that represents this relationship will be y = 2u³.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Tomato juice is sold in a case with 8 cans. Complete the table to show the relationship between the number of cases and the number of cans .
Step-by-step explanation:
1 case- 8 cans
If you have 32 cans and you know that 1 case can have 8 cans you do this:
32:8=4 cases
Then if you have 10 cases in each you get 8 cans so it equals:
10*8=80cans
And last:
You have 96 cans and again you know that one case can contain 8 cans so it is:
96:8=12 cases
When you write that:
1. answer: 8
2.answer:4
3.answer:80
4.answer:12
Tinley is training to run a half-marathon. She sets a pace so that every mile takes
7 minutes.
Write an equation for the amount of time,
t, it takes Tinley to run
m miles.
Answer:
t=7m
Step-by-step explanation:
In this equation, "t" represents time, and "m" represents miles. Each mile is 7 minutes. To find how much time this run will take her, multiple the amount of miles she will run by 7.
For example:
If Tinley runs 13 miles you should do-
7(13)= 91
13 miles would take Tinley 91 minutes
find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
9514 1404 393
Answer:
y = 1/2x -4
Step-by-step explanation:
We presume the given line is ...
y = -2x +8
This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.
A perpendicular line will have a slope that is the opposite reciprocal of -2:
m = -1/(-2) = 1/2
The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...
b = y - mx
b = -2 -(1/2)(4) = -4
Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...
y = 1/2x -4
__
Additional comment
"Slope-intercept form" is ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
WILL GIBE BRAINLIEST ASAP
Answer:
A and D have whole grid squares that are the same size and aren't over lapping
C has overlapping grid squares making it hard to count
B can't be used to find area because some of the grid squares are different sizes
You still could use B because four of the smaller squares seems to be equivalent to one of the larger squares
Step-by-step explanation:
Answer:
the guy up there is right
Step-by-step explanation:
In 1980 more than 35% of cars purchased had a manual transmission (i.e. stick shift). By 2007 the proportion had decreased to 7.7%. A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts. Estimate the proportion of college students who drive sticks with 90% confidence. Use a graphing calculator and round the answers to at least three decimal places. <
Answer:
The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts.
This means that [tex]n = 133, \pi = \frac{31}{133} = 0.233[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 - 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.173[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 + 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.293[/tex]
The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).
Find the missing number if the following
subtraction is in base six
4 5 2
* * *
254
A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08
Answer:
48(c)
Step-by-step explanation:
4.8=48 as move 10 will change 4.8 as 48NO LINKS
Mark wants to put a circular pool in his backyard. The pool has an area of 379.94 square feet. If his backyard is 10 x 15 feet, will the pool fit? Use 3.14 for pi
Answer:
no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit
Step-by-step explanation:
10×15=150
Workout the probability that spinner A lands on 2 and spinner b does not land on b
Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem
Answer:
4 / 15
Step-by-step explanation:
For the numbered spinner :
P(landing on 2) = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3) = 3
Required outcome = (1) = 1
P(landing on 2) = 1 /3
Lettered spinner :
P(does not land on b)
Total possible outcomes = (A, B, C, D, E)
Required outcome = (a, c, d, e)
P(does not land on b) = 4 / 5
Hence,
P(lands on 2, does not land on b) in this scenario is :
1/3 * 4/5 = 4 / 15
Find the common difference of the arithmetic sequence -19, -16, -13, ...
Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.
What is the probability that a randomly chosen horse will be bay?
Write your answer as a fraction or whole number.
p ( bay ) = ?
Answer:
40% chance
Step-by-step explanation:
Take the number of horses total and divide the number of bay horses.
x = 5 what is 6x equal
Answer:
6 x 5= 30
Step-by-step explanation:
6(5)=30
how many squre deet of outdoor carpet will we need 11ft 3ft 2ft 3 ft
Answer:
39 sq feet
Step-by-step explanation:
A rock with a mass of 25 g is added to a graduated cylinder containing 45 mL of water. The water level rises to the 50mL mark. Based on this information, what is the density of the rock?
Answer:
We know the density of water is 1 gm/ml
Mass of rock = 25 g
Volume of rock = 5 ml
So the density of the rock is 25 g / 5 ml = 5 gm / ml
Please help ! Please help! I will heart you !
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Answer:
65 degrees
Step-by-step explanation:
180-115=65 degrees
The line that 115 degrees is on is equal to 180.
<4and <5 are alternate interior angles. Find the measure of <5
Answer:
115 degrees
Step-by-step explanation:
Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since
<4 = 115 degrees, <5 is also equal to 115 degrees
-6(2p + 1) = -7p - 31
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the One and Only #DrippQueenMo
Answer:
p=5
Step-by-step explanation:
first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
Identify the relationship of each angle pairs. Choose your answer from the choices given.
Answer:
scheu7rggi6rewhjvzdeguij
plz help will give crown
Answer:
C
Step-by-step explanation:
Can I have crown
Answer choices are
A.) x= 2 and x = -3
B.) x = 3 and x = 4
C.) -2 and x = -1
D.) -2 and x = 1
4. Dominick sent the following number of text messages each day over the last week:
SUN
MON
TUES
WED
THURS
FRI
SAT
64
58
63
51
60
61
70
What is the mean absolute deviation?
Explain what the mean absolute deviation represents in the situation:
An amusement park has 16 attractions, including 6 rides.
What is the probability that a randomly selected attraction at this amusement park will be a ride?
The probability it will be a ride = total number of rides / total attractions.
Probability = 6/16
Probability = 3/8
Answer:
Solution :-Probability is defined as the favourable outcomes divided by total outcomes
Probability = Favourable Outcome/Total outcomes
Probability = 6/16
Probability = 3/8
[tex] \\ [/tex]
Explain the different ways you can name an angle. What are the different names for this angle?
Step-by-step explanation:
Hi,
This is an acute angle.
RST, STR, and TRS are the three different ways to represent/name this angle.
I hope this helps :)
A teacher has 1/4 gallon or mlik
Answer:
notify me when you finish the question so i can answer ok
Step-by-step explanation:
Answer:
This means that there is 3/4 gallon or quarts left of milk that the teacher has.
Step-by-step explanation:
