Answer:
Step-by-step explanation:
The ball carrier and defender were 20.62 ft apart
Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.
x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.
From Pythagoras' theorem,
x² + L² = y²
So, L² = y² - x²
L = √(y² - x²)
Since x = 40 yards and y = 45 yards,
#substituting the values of the variables into the equation, we have
L = √(y² - x²)
L = √(45² - 40²)
L = √(2025 - 1600)
L = √425
L = 20.62 ft
So, the ball carrier and defender were 20.62 ft apart
Learn more about Pythagoras' theorem here:
https://brainly.com/question/23713139
is the answer C, E, A, B, or D?
Answer:
the answer is B hope this helps
please mark mw brainalist
Directions: Evaluate each rational expression using the indicated values of the variable.
1. [tex] \frac{5x}{2y} [/tex]
a. when x = 8 and y = 10
b. when x = 1/2 and y = 2/3
2. [tex] \frac{ {ab}^{3} }{c} [/tex]
a. when a = 4, b = 3, and c = 2
b. when a = -2, b= -2, and c = 2
3. [tex] \frac{e \: + \: 5}{4f \: - \: 4} [/tex]
a. when e = 11 and f = 7
b. when e = -1 and f = -4
Pls answer it perfectly, so there will be no reported answers, thank u :)
Answer:
[tex]1) \: \: \frac{5x}{2y} \\ a) \: \: x = 8 \: \: and \: \: y = 10 \\ \frac{5x}{2y} \\ \frac{5(8)}{2(10)} \\ \frac{40}{20} \\ 2 \: ans \\ b) \: \: \frac{5x}{2y} \\ \frac{5( \frac{1}{2}) }{2( \frac{2}{3}) } \\ \frac{2.5}{1.3} \\ \frac{25}{13} \\ 1.92 \: \: ans \: \\ \\ 2) \: \: \frac{a {b}^{3} }{c} \\ \\ a) \: \: a = 4 \: .\: b = 3 \: . \: c = 2 \\ \\ \frac{a {b}^{3} }{c} \\ \frac{(4) {(3)}^{3} }{2} \\ \frac{4(27)}{2} \\ \frac{108}{2} \\ 54 \: \: ans \: \\ \\ b) \: \: a = - 2 \: . \: b = - 2 \: . \: c = 2 \\ \\ \frac{a {b}^{3} }{c} \\ \frac{( - 2) {( - 2)}^{3} }{2} \\ \frac{ - 2 { (- 2)}^{3} }{2} \\ \frac{ - 2( - 8)}{2} \\ \frac{16}{2} \\ 8 \: \: ans \: [/tex]
Step-by-step explanation:
question 3 is already answered by me in your question..or you can see attachment.
negative2 - 7 is equvilent to
Answer:-5
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-2 - 7
Picture a number line in your head, you begin at negative 2, which is less than 0 and you further go left 7 points, so you will end at -9
JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a
ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)
Answer:
(8, - 10) or (0, 6)Step-by-step explanation:
There are two options as below.
1. JL/JK = 5 : 1
Find the coordinates of L:
x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10The point is L(8, - 10)
2. JL/JK = 1 : 5
Find the coordinates of L:
x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0y = 10 + 1/6(-14 - 10) = 10 - 4 = 6The point is L(0, 6)
. Excel Secondary School wants to send its students for an educational trip and has found an organisation that is willing to sponsor up to an amount of $2 500 for the trip. Given that the cost of sending a student for the trip is $12, what is the maximum number of students the school can send for the trip if it relies only on the sponsorship?
Answer:
208 students I think that's the answer
submarine titan descended 93 meters into the ocean to look for fish. Submarine Odyssey descended 3 times as deep. What is Odyssey's depth below sea level in meters?
Answer:
279 meters
Step-by-step explanation:
This is just some simple multiplication. 93*3=279
Submarine Odyssey's depth below sea level is 279 meters.
Given that two submarines titan and odyssey, titan descended 93 meters and odyssey descended 3 times as deep.
We need to find the depth of the submarine odyssey.
To find Odyssey's depth below sea level, we can start by determining the depth that Submarine Titan descended.
According to the given information, Submarine Titan descended 93 meters into the ocean to look for fish.
Now, we need to find the depth that Submarine Odyssey descended, which is three times as deep as Submarine Titan.
We can calculate this by multiplying the depth of Submarine Titan (93 meters) by 3:
Depth of Submarine Odyssey = 93 meters x 3 = 279 meters
Therefore, Submarine Odyssey's depth below sea level is 279 meters.
Learn more about multiplication click;
https://brainly.com/question/16334081
#SPJ2
does anyone know how to this ?
Answer:
For the first one put 3/5 then for the other box I THINK its 15
Step-by-step explanation:
A few weeks ago, Tori bought 4 apples from her local farmers' market. Today, she bought 3 apples. What is the percent of decrease in the number of apples bought?
Answer:
25%
Step-by-step explanation:
(original value - new value / original value) x 100
So
4 - 3 = 1
1/4 = 0.25
0.25 x 100 = 25
So there was a 25% decrease in the number of apples bought.
Hope it helps :)
Can I get steps on how to solve this?
Answer:divided the total buy 9 and if I’m reading correctly the total is two
Step-by-step explanation:
please help if you dont know dont answer!!!
Answer:
(6,3), (10,5),(14,7)
Step-by-step explanation:
6/3 = 2
10/5 = 2
14/7 = 2
if Ax and 60b 30c find its unknown sizes of angle
Step-by-step explanation:
3360832553 pass wZE2XQ
how do you write y - 2 = -(x - 3) in slope-intercept form? A) y = x + 3 B) y = x - 1 C) y = -x + 5 D) y = -3x - 1
The magnitude of an earthquake measured on the Richter scale is given by:
R(L) = log (l/l0), where l = amplitude.
Find the Richter scale rating of an earthquake with amplitude 1. 80 X 10 l0.
HELP ME PLEASEEEEEEEEEEE
Answer:
1.26
Step-by-step explanation:
R(L)=log((1.8 ×10)=log(18)=1.26
How Do i get the correct answer for this?
Simple way :-
If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)
Now
(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3)Can someone pls help me
Answer:
I'm not sure, but I'll try
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (9)^2 - ( √ 65 )^2
(Side)^2 = (81) - (65)
(Side)^2 = 16
Take root of answer
Side = √16
Side = 4
Answer = 4
_________
[tex] \: [/tex]
a² = c² - b²
a² = 9² - (√65)²
a² = 81 - 65
a² = 16
a = √16
a = 4
find the area
(not to scale)
Answer: no
Step-by-step explanation: no
Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour
Answer:
7 miles per hour
Step-by-step explanation:
3.5 times 2.
Which segments are parallel?
Select each correct answer.
O EF
O AB
O GH
O CD
Answer:
EF ║ CD and AB ║ CD are the parallel segments.
Step-by-step explanation:
The given question is incomplete without picture; here is the picture attached with the answer.
Since m∠A = m∠D = 42°
Therefore, AB ║ CD and segment AD is the transverse.
Now ∠AEF + ∠IEF = 180° [Supplementary angles]
138° + ∠IEF = 180°
∠IEF = 180 - 138
= 42°
∠IHG + ∠DHG = 180° [ Supplementary angles ]
∠IHG + 122 = 180
∠IHG = 180 - 122
∠IHG = 58°
But ∠IEF ≠ ∠IHG
Therefore, EF and GH are not parallel.
If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)
But ∠IHG ≠ ∠IAB
Therefore, AB and GH are not parallel.
Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]
which reveals that EF ║ CD
Therefore, EF ║ CD and AB ║ CD
5x+6=61 Show Step By Step
Answer:
x=11
Step-by-step explanation:
5x+6=61
61-6=5x
55=5x
x=11
I really need some help
Answer:
y-2=2(x-12)
the alternative is
y+3=2(x-2)
Step-by-step explanation:
Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
[tex]h(t) = 800, 30 \leq t < 35[/tex]
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at https://brainly.com/question/13205719
Solve for x.
X +1/2=3/4
O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4
The window below has an area of 64 inches squared. What is the length of each side?
Answer:
The answer would be 8.
Step-by-step explanation:
Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly
Answer: do you have a email so i can send it to you??
Step-by-step explanation:
1 4/5-1/3 divided by 2 2/5
Answer:
THIS MATH WEBSITE HELPS A LOT, TYPE YOUR QUESTION AND IT'LL ANSWER IT LOL
Step-by-step explanation:
wish you the best! gl!
Bill baked n cookies. His friends ate 12 of them. Using n, write an expression for the number of cookies that remained.
Answer:
n-12= number of cookies left
Answer:
y=n-12
Step-by-step explanation:
y= how many cookies are left
n = number of cookies
-12 = how many his friends ate
NEED HELP ASAPfind the missing number and fill in the blank to make it true35 + ?? = 7(5 + 3)
Answer:
x = 21
Step-by-step explanation:
35 + ?? = 7(5 + 3)
1. Expand the brackets on the right:
35 + x = 35 + 21
2. Cancel out 35 from both sides
x = 21
EQUILATERAL
ISOSELES
SCALENE
Answer:
isoseles triangle
explanation: none of the sides are the same
hope this helps
Answer: SCALENE
Step-by-step explanation:
All sides are unequal, ISOSELES has 2 equal sides and EQUILATERAL all sides are equal.
please help me solve this thank uuu
Answer:
Same Side Interior Angles
Step-by-step explanation:
Angle 7 and angle 14 are both inside of the two transversal lines E and M, and are on the same side of the line Q, making them both same side interior angles
-Chetan K
Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
Learn more here:
https://brainly.com/question/8553720
