A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?
Answers
Answer:
5 miles
Step-by-step explanation:
To answer this question, use the following:
According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:
[tex]a^2+b^2=c^2[/tex]
Thus plugging in 3 for a and 4 for b:
[tex]c^2 = 25[/tex]
[tex]c=5[/tex]
Related Questions
question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)
Answers
brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction
PLEASE HELP please?
Answers
Answer:
28/100
Step-by-step explanation:
Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help
Answers
Answer:
see explanation
Step-by-step explanation:
area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4x - 6 and h = 2x - 3 , then
A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL
= [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute
= 4x² - 12x + 9
----------------------------------------------------------
Area of rectangle CBFG is calculated as
A = lb ( l is length, b is breadth )
Here l = 4x - 6 and b = 3x - 2, then
A = (4x - 6)(3x - 2) ← expand using FOIL
= 12x² - 26x + 12
----------------------------------------------------------
Area of trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then
A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)
= [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL
= [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute
= 6x² - 5x - 6
So if 15 + 5 is 20 and 30 + 30 is 60 then what is 9 + 12 x 15 plus if red is blue are purple then what is 2 + 5 = ? (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9
Answers
Answer:
Step-by-step explanation:
Given that:
If 15 + 5 is 20 and 30 + 30 = 60
Then what is 9 + 12 x 15
This is a simple Arithmetic calculation which can be determined by using BODMAS ( Bracket of Division Multiplication Addition and subtraction)
= 9 + 12 × 15
The first step is to multiply 12 by 15
= 9 + 180
The add both values together
= 189
However, if (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9
And we are given an example which says:
red + blue = purple
i.e.
1 + 5 = 6 which is true
Then; to determine, 2 + 5 = ?
SO,
2 + 5 = 7
i.e.
Orange + Blue = Pink
Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2
Answers
Step-by-step explanation:
2x +1= 0.5x - 2
X = - 2
y = 0.5x (- 2) - 2
y = - 3
( x, y ) = ( -2 , -3 )
hope it helps!
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answers
Answer:
1038
Step-by-step explanation:
730+308= the big number
Answer:
1038
Step-by-step explanation:
Calculate the area of the shaded region
Answers
Area of the rectangle = (18 m) (12 m) = 216 m²
Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²
Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²
Write in y=mx+b form
Answers
Step-by-step explanation:
b =-4 (y-intercept)
x =0
m = 0 (the line doesn't have a slope)
y = mx + c
y = 0(0) + (-4)
y = - 4
she has 3 bags of flour and 2 smaller bags with 0.75 kg and a bigger bag that ha 1.14 how much flower does she have in total
Answers
Answer:
3(1.14) + 2(0.75)
3.42 + 1.5
4.92 kg of flour
please help!
the answer is in the picture because i can’t type it out :D
Answers
Answer:
x is 20 and y is 23
Step-by-step explanation:
Answer:
x = 15
y = 4
Step-by-step explanation:
In a triangle a line parallel to any of the sides of the triangle divides the remaining two sides in the proportion. Therefore,
[tex] \frac{12}{y} = \frac{x}{5} = \frac{18}{6} \\ \\ \frac{12}{y} = \frac{x}{5} = \frac{3}{1} \\ \\ \implies \:\frac{x}{5} = \frac{3}{1} \\ \\ x = 5 \times 3 \\ \\ x = 15 \\ \\ \\ \frac{12}{y} = \frac{3}{1} \\ \\ 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4[/tex]
Plz someone help I beggggg
Answers
Answer:
25100 i believe would be the answer
Step-by-step explanation:
Solve the following equation for I. A = 2nr + nrl. Explain each step please
Answers
help meh please i need hell
Answers
Answer:
1 3/8
Step-by-step explanation:
Find the values of X and Y
Answers
Answer:
x=90, angle bisector theorem
y=43,
90+47+y=180
=137+y=180
y=43
A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.
(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.
(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?
(C) What is the expected number of eggs with rocks that Natasha will have in her basket?
Answers
Answer:
[tex]\red{\underline{\underline{\sf{Answer :-}}}} [/tex]
There are three characteristics of a binomial experiment. There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials. There are only two possible outcomes, called “success” and “failure,” for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial.
p
+
q
=
1
. The n trials are independent and are repeated using identical conditions. Because the n trials are independent, the outcome of one trial does not help in predicting the outcome of another trial. Another way of saying this is that for each individual trial, the probability, p, of a success and probability, q, of a failure remain the same. For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly. Suppose Joe always guesses correctly on any statistics true-false question with probability
p
=
0.6
. Then,
q
=
0.4
. This means that for every true-false statistics question Joe answers, his probability of success
(
p
=
0.6
)
and his probability of failure
(
q
=
0.4
)
remain the same.
The outcomes of a binomial experiment fit a binomial probability distribution. The random variable
X
=
the number of successes obtained in the n independent trials.
The mean,
μ
, and variance,
σ
2
, for the binomial probability distribution are
μ
=
n
p
and
σ
2
=
n
p
q
. The standard deviation,
σ
, is then
σ
=
√
n
p
q
.
Any experiment that has characteristics two and three and where
n
=
1
is called a Bernoulli Trial (named after Jacob Bernoulli who, in the late 1600s, studied them extensively). A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.
Which of the following statements can be used to show that today's high temperature, 12°F, is warmer than yesterday's high temperature, which was -15°F?
-15°F = 12°F
-15°F ≥ 12°F
-15°F 72°F
Answers
Answer:
-15°F < 12°F
Step-by-step explanation:
Hope it helps you in your learning process.
What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
Answers
Answer:
74
Step-by-step explanation:
[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]
A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60
Answers
43 - 8.6 = 34.40
Solution: $34.40
Answer:
34.40
Step-by-step explanation:
43×0.2 = 8.60
43-8.60= 34.40
A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?
Answers
Answer:
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Red counters: 120/4=30
Blue counters:120/5=24
Green counters:30+24=54, 120-54=66
If u can guess the number I’m thinking of you will get brainliest. 1-20
Also if u dig a 6 feel hole how deep is that hole?
Answers
im guessing 12
and if you dig a 6 feet deep hole its 6 feet
What is the inverse of the function f(x) = 2x-10?
Answers
Answer:
One sec
Step-by-step explanation:
Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.
Answers
Answer:
D: The area of the base.
Step-by-step explanation:
The volume of a triangular based pyramid is represented by the formula given that the question as:
V = 1/3BH
where B = Base area of the triangular based pyramid
H = Height of the triangular based pyramid.
Hence, option D is correct
B = The area of the base.
Pueden responder rápido por favor? tengo hasta las 10 :v
Para preparar una ración se utilizan tres cereales: A, B y C. La ración I tiene 20 Kg del cereal A, 50
Kg del cereal B y 100 Kg del cereal C. La ración II tiene 35 Kg del cereal A, 60 Kg del cereal B y 80
Kg del cereal C. La ración III tiene 45 Kg del cereal A, 45 Kg del cereal B y 50 Kg del cereal C. Se
tiene 36000 Kg del cereal A, 40000 Kg del cereal B y 48000 Kg del cereal C. ¿Cuántas unidades
de cada ración se pueden preparar si se utiliza todo el cereal disponible?
Answers
Answer:
what are u saying I asked my Spanish teacher and she said...
Step-by-step explanation:
its D idn why hm any way have a great day if u can understand what I'm saying :D
I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!
Answers
Answer:
C. 22,400.
Step-by-step explanation:
62.9% = 0.629 as a decimal fraction.
Total number of employees in small businesses in the county
= 270 * 132.
So the estimated number with less than $1000 savings
= 270 * 132 * 0.629
= 22,417.
what is the difference between the 11th square number and the 4th square number?
Answers
Answer:1 squared 1
2 squared 4
3 squared 9
4 squared 16
5 squared 25
6 squared 36
7 squared 49
8 squared 64
9 squared 81
10 squared 100
11 squared 121
12 squared 144
13 squared 169
14 squared 196
15 squared 225
16 squared 256
17 squared 289
18 squared 324
19 squared 361
20 squared 400
Step-by-step explanation:
dude just search it up
Answer:
105
Step-by-step explanation:
The 11 th square number is 11² = 121
The 4 th square number is 4² = 16
Their difference is 121 - 16 = 105
What is the value of x?
Answers
70+30=100
so x has to equal 80
(mark brainliest if correct pls)
Sum of three angles in the triangle equals to 180.
70+30+x=180
100+x=180
x=180-100
x=80
Therefore, the answer is 80.
(multiple choice) How is e-mail different from other types of communication?
can't save messages
can't hear tone of voice
can't get clues from body language
can't access sent messages
Answers
Answer: You can't hear the tone of voice or get clues from body language.
Step-by-step explanation:
When sending emails, the sender and the recipient communicate through a screen, thus each person is unable to see the other when conversing or hear the inflections or emphasis of voice in the message, although we can always attempt to interpret tone. Email allows you to store emails in the inbox or archive and access sent messages, but email lacks the ability to intimately understand specifics such as tone of voice or body language.
Answer:
cant get clues from body language, cant hear tone of voice
Step-by-step explanation:
please help. i’ll give brainliest
Answers
Answer: What is the question?
Step-by-step explanation:
What is the question?
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answers
Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answers
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
Learn more about the Scatter plot here:
brainly.com/question/1386565
#SPJ6