Answer:
159 m
Step-by-step explanation:
From the information given:
It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.
Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.
Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.
We are to find, the magnitude of the ostrich's eastward component.
i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.
Using the Pythagoras rule:
ES² = OE² + OS²
226² = OE² + 161²
226² - 161² = OE²
OE² = 226² - 161²
OE² = 51076 - 25921
OE² = 51076 - 25921
OE² = 25155
[tex]OE = \sqrt{25155}[/tex]
OE = 158.60 m
OE ≅ 159 m
Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.
please hurry
what’s the slope of the line that passes through the points (-5,6) and (11,2)??
Answer:
-0.25Step-by-step explanation:11 - (-5) is 16 and 2 - 6 is -4 and -4 divided by 16 is -0.25
Answer:
-0.25Step-by-step explanation:
This is because when calculating the slope of given points, we must use this simple formula:
Slope= rise/run = Δy/Δx(simplified version)
The actual formula is
slope = (y₂ - y₁) / (x₂ - x₁)PROCESS:1. Find the difference of the x axis'
ANSWER: The difference of the x axis should be 11-(-5)= 16
2. Find the difference of the y axis'
ANSWER: The difference of the y axis should be 2-(6)= -4
3. Substitute these new values into the formula Δy/Δx
ANSWER: You should get -4/16 which is -0.25
4. Your answer will be -0.25
What is 12r + 5 + 3r - 19
A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom cost 8 dollars per ft.2 and sides 5 dollars per ft.2. If the box must have a volume of 72 ft.3, determine the dimensions that will minimize cost.
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before that student comes back, another teacher drops in and selects another student at random for another task. What is the probability that a girl was selected both times?
Answer:
I think it's like 81%
Step-by-step explanation:
17 /21=.809
you have been saving money to buy a new pair of shoes. Three different stores are having sales on them. Which store has the best deal. Order from lowest price to the highest price.
Original Price $70
Take 10% off
Then take 10% off that price
Original Price $80
Take 15% off
Then take 10% off
Original Price $90
Take 10% off
Then take $25 of
Answer:
Store 1 has the best deal at $56.70. The order goes as shown below!
Step-by-step explanation:
Store 2 - $61.20
Store 3 - $60.75
Store 1 - $56.70
Hope this helped :)
Can someone help me with this question thx
Answer:
D. 3
Step-by-step explanation:
3x−2y=−6
solve for y
-2y=-3x-6
y= 3/2x+3
y=mx+b
b= y intercept --> b = 3
Geppetto is a puppet maker. When the month started, Geppetto had 6 puppets ready to sell. On the ninth day, he had 69 puppets finished.
He made 7 puppets per day for nine days plus that 6
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in the a:b form)
Answer:
58:28
Step-by-step explanation:
simplified its 29:14!
work out (-5)2
I will mark brainest but the answer has to be right
-27 - (-8)=
A -35
B -18
C 19
D 35
Answer:
The answer is -19
Step-by-step explanation:
-27 - (-8)=
-27+8
=-19
Answer:
C
Step-by-step explanation:
-27 - (-8) automatically becomes -27 + 8 because the two negatives cancel each other out. which then gives you -27 + 8 = 19.
9. Consider f(x) = x³+x¹. Would the function be even, odd, neither, or not enough information to determine? A. even B. Odd C. Neither D. Not Enough Information
The function is odd, since
f(-x) = (-x)³ + (-x)
… = (-1)³ x³ - x
… = -x³ - x
… = -(x³ + x)
… = - f(x)
so the answer is B.
The formula used to calculate simple interest is modeled by I=prt, where I=simple interest, p=principle, r=interest rate, and t=time, measured in years. Which of the following options represent(s) an alternative equivalent version of the simple interest formula? Select all that apply
Answer:
I know it may be a little late but
here is the answers
t=l/rp
p=l/rt
l=trp
Hope this helps c:
What is the value of x in the equation 5(3x + 4) = 23?
start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction
Answer:
5(3x+4)=23
5*3=15 5*4=20
15x+20=23
-20=-20
15x=3
divide by 15 from both sides
x=0.2
Step-by-step explanation:
Answer:
5(3x+4)=23
5*3=15 5*4=20
15x+20=23
-20=-20
15x=3
divide by 15 from both sides
x=0.2
Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5
amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.
Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".
What is the equation in slope-intercept form for the graph shown? *
N
0
F. y + x = -3
G. y = 3x + 1
H. y - 3x = 1
I. y = - 3x + 1
Answer:
I
Step-by-step explanation:
The answer is y = -3x+1. If you need an explanation, just ask.
A passenger train has 12 cars with a total of 204 people on it. How many people per car?
Answer:
17
Step-by-step explanation:
204 / 12 = 17
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased 20%, what is the change in the area of the rectangle?
Answer:
36 ft squared
Step-by-step explanation:
12*5=60 Original Size
12+25% of 12= 16
5+ 20% of 5= 6
6*16=96
The difference between the two:
96-60=36 ft squared difference
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
I’m looking for x can someone help me
Answer:
x = 30°
Step-by-step explanation:
Since m and n are perpendicular, then
y + 70° = 90° ( subtract 70° from both sides )
y = 20°
thus 40 + y = 40° + 20° = 60°
Then
x + 60° = 90° ( subtract 60° from both sides )
x = 30°
Can some pls help me with one question I will brainlest
Answer:
whats the question
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
whwieiwisijwjdjejeusjsjs
The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions of the rectangle. Length: Width :
Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = - (-4) ± √(-4)² - 4(3)-55
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
2.4 x 10^2 and 2.4 x 10^3 expressed in scientific notation?
Answer:
.024 and .0024
Step-by-step explanation:
move the decimal over the amount of spaces that is the exponent.
Please Help ASAP - 10 Points!
What is the value of f(g) at f(21)?
Answer:
46.2
Step-by-step explanation:
if you plug the value given for g into g in the equation, it should look like
2.2(21) which you multiply the two together. and you get 46.2.
hope this helps you...sorry just seen your question now.
PLEASE ANSWER THIS IS REALLY IMPORTANT!!!
Simplify -8xy + 7xy
is the answer xy?
-8 + 7 = -1
so the answer would be:
-xy or -1xy
Answer:
-xy
Step-by-step explanation:
Add -8xy and 7xy= -xy
Hope this helped! :)
May i have brainliest!
Tylers brother earns a commission. He makes 3.4% of the amount he sells. Last week, he sold $760 worth of shoes. How much was his commission?
Answer:
Step-by-step explanation:
760*3.4%=25.84 in commission.
Answer:
25.84
Step-by-step explanation:
760*3.4%=25.84 in commission.
c=(q+k/3)m for q Solve for q.
Answer:
(3 -mk)/3m=q
Step-by-step explanation:
Ms. Cohen is buying supplies for her kindergarten class room. she can spend at most $30. she wants to buy boxes of crayons that cost $2 per box. she also buys a poster for $5. mrs.Cohen wants to know how many boxes of crayons she can buy.
Answer:
Ms. Cohen can buy 12 poxes of crayons.
Step-by-step explanation:
Ms. Cohen can buy 12 boxes of crayons with the rest of her money. In the question it states she only wants to buy 1 poster not more than one so if she buys 1 poster that's
30-5-25
and than you can just count up by 2 till you get the closest to 25
25-24=1$
24/2 = 12
Hope this helps.
The number of boxes of crayons that can be bought is needed.
The number of boxes that can be bought at most is 12.
Linear inequalitiesLet [tex]x[/tex] be the number of boxes of crayons
Total amount of money = $30
Cost of one box = $2
Cost of poster = $5
The linear inequality will be
[tex]2x+5\leq 30\\\Rightarrow x\leq\dfrac{30-5}{2}\\\Rightarrow x\leq 12.5[/tex]
Learn more about linear inequality:
https://brainly.com/question/18881247
someone please help me with this problem much appreciated
Which number line represents the solutions to |x - 2|= 6?
Answer:8 and -4
Step-by-step explanation:
[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4
how would I go about Simplify 2⁵ ÷ 2³
Answer:
2^8
Step-by-step explanation: