A summer camp has 720 ft of float line with which to rope off three adjacent rectangular areas of a lake for swimming lessons, one for each of three levels of swimming ability. A beach forms one side of the swimming areas. Suppose that the width of each area is x feet. Answer parts a) through c).
Step-by-step explanation:
Kindly find attached a detailed image to better understand the solution to this problem.
given that the total length of the line is 720ft
and also the line is divided into three sections
This means that the line will also be divided into three parts
720/3= 240feet so that a section will have two sides that are 240ft since the section forms a rectangular shape.
now for the other two sides
the total length of the rope is = one length size of the rectangle+ 4 width size of the rectangle
one width size of the rope is x
then 4 width size is 4x
720=length of rectangle +4x
length of rectangle= 720-4x
area of a rectangle is =length *width
area of rectangle is = (720-4x)*x
Hence the function A= (720-4x)x can be used to solve for the area of the rectangle.
if it is a tree then it has leaves which of the diagrams below represents the statement
Answer: B
Step-by-step explanation:
f (x) = 72 – 5, x < 0
2,
0 <<3
✓+1,
What are the indicated limits of f(x)
Answer: limits of f(36
Step-by-step explanation:
PleEASSSE HELP ME WITH K AND L
Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.
Which of the variables is independent and which is dependent?
Answer:
they are bothdependant
Step-by-step explanation: they have to be because her test score depend on the number of answers she gets correct
-6 ÷ -2 pls provide an explanation
Answer:
it would be 3 because a negative divided by negative is a positive
and 6/2=3
geometry solving for x in triangles
Answer:
- 8°
Step-by-step explanation:
Step 1:
40° + x + 58° + 90° = 180° Sum of a Δ
Step 2:
188° + x = 180° Combine Like Terms
Step 3:
x = 180° - 188° Subtract 188 on both sides
Answer:
x = - 8°
Hope This Helps :)
what is 8+[4+(-9)] ?
Answer:
Positive 3
Step-by-step explanation:
you have to add 4 and -9 first and you get -5 then you add that to positive 8 and get 3
What does X equal x+10
What's the answer for this question
Answer: x-3
Step-by-step explanation: RT - TS = RS
Choose the answer that makes the sentence blank true real numbers are integers
i don't think any one can answer this and you be more specific
write a equivalent expression for 12a+60
Answer: 12(a+5)
Step-by-step explanation: factor out 12 from the expression
ANSWER 12(a+5)
Kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
45
Step-by-step explanation:
picking 18 flowers = 2/5 of garden or 40%
18÷.4=45
HELP ASAP PLEASE ! Which graph represents the equation Y=-3/2x-3 .. answer choices are in the pic
Answer:
The third ,bottom left.
Step-by-step explanation:
The y goes -3 below the line and -3/2 which means it goes to the right of the graph.
The Points are (-2,0),(0,-3)
if m2 = 125, m12= 37 and m18 = 102, find the measure of each angle
Answer/Step-by-step explanation:
Given:
m<2 = 125°
m<12 = 37°
m<18 = 102°
a. m<1 + m<2 = 180° (linear pair)
m<1 + 125° = 180° (substitution)
m<1 = 180° - 125°
m<1 = 55°
b. m<3 = m<18 (alternate exterior angles)
m<3 = 102° (substitution)
c. m<4 + m<3 = 180° (linear pair)
m<4 + 102° = 180° (substitution)
m<4 = 180° - 102°
m<4 = 78°
d. m<5 = m<2 (vertical angles)
m<5 = 125° (substitution)
e. m<6 = m<1 (vertical angles)
m<6 = 55° (substitution)
f. m<7 = m<12 (alternate angles)
m<7 = 37° (substitution)
g. m<8 + m<12 + m<13 = 180° (sum of triangle)
m<12 = 37° (given)
m<13 = m<18 = 102° (vertical angles)
m<8 + 37° + 102° = 180° (substitution)
m<8 + 139° = 180°
m<8 = 180° - 139°
m<8 = 41°
h. m<9 = m<18 (corresponding angles)
m<19 = 102° (substitution)
i. m<10 = m<6 (alternate interior angles)
m<10 = 55°
j. m<11 + m<6 + m<7 = 180° (sum of triangle)
m<11 + 55° + 37° = 180° (substitution)
m<11 + 92° = 180°
m<11 = 180° - 92°
m<11 = 88°
k. m<13 = m<18 (vertical angles)
m<13 = 102°
l. m<14 = m<4 (corresponding angles)
m<14 = 78°
m. m<15 = m<5 (corresponding angles)
m<15 = 125°
n. m<16 = m<6 (corresponding angles)
m<16 = 55°
o. m<17 = m<14 (vertical angles)
m<17 = 78°
Review the proof of the identity cos(π − A) = −cosA.
cos(π − A)
Step 1: = cosπcosA − sinAsinπ
Step 2: = (−1)(cosA) + (sinA)(0)
Step 3: = −1cosA + (sinA)(0)
Step 4: = −cosA + 0
Step 5: = −cosA
At which step was an error made?
step 1
step 2
step 3
step 4
Answer:
error in step 1
Step-by-step explanation:
well where is does the step not make sense?
remember cos(pi) = -1 and sin(pi)=0
that means step 1 is strange... it didn't distribute properly
it should have been:
cos(pi) - cos(A)
hope that helps! ^-^
The error is made at step 1). The correct trigonometric identity is cos(π - A) = cosπcosA + sinπsinA.
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
cos(π - A) = cosπcosA + sinπsinA
Learn more about trigonometric identities here
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Logan went shopping at the mall. He spent $75.43 on shoes, $25.14 for a t‐shirt, and $43.85 on a denim jacket. How much did he spend in all? If Logan paid the cashier $200 in cash, how much money will he get back? *
Answer:
He spent 144.42 and he got back 55.58
Step-by-step explanation:
Find the length of the line segment shown. Round your answer to the nearest tenth.
Answer:
[tex]d=10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step 1: Define endpoint coordinates
(2, 5)
(-6, -1)
Step 2: Substitute and Evaluate
[tex]d=\sqrt{(-6-2)^2+(-1-5)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]d=\sqrt{64+36}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d=10[/tex]
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
i think its b is it isn't dont beat me up
Multiply.
3/8x4/5
Express your answer in simplest form.
Answer: 3/10 or (Decimal form: 0.3)
A box of chocolates contained 8% caramels. There were 4 caramels in the box. How many pieces of chocolate are in the box?
Answer:
Step-by-step explanation:
If you are desperate, copy and paste the below answer. It should be correct but I don't know your syllabus.
8% C = 4 1% C = 4 ÷ 8 =0.5 100% C = 0.5 × 100 = 50
Hope this helps.
steps to solve 6-3y=-6
Answer:
y = -4
Step-by-step explanation:
6 - 3y = 6
now were going to get the variable and the numbers on different sides
6 - 3y - 6 = - 3y
6 + 6 = 12
now divide each side by -3
-3y / -3 = y
12 / -3 = -4
y = -4
Round 35.367 to the nearest tenth.
Step-by-step explanation:
35.4
Answer:
35.4
Step-by-step explanation:
To round 35.367 to the nearest tenth consider the hundredths’ value of 35.367, which is 6 and equal or more than 5. Therefore, the tenths value of 35.367 increases by 1 to 4.
35.367 rounded to the nearest tenth = 35.4
In a period of 2 and one-fourth hours, 5 and one-half gallons of water leaked from a water tank. How much water did the tank lose per hour?
Which division problem represents the problem?
Answer:
-11/2 divided by 9/4
Answer:
-11/2 divided by 9/4
Step-by-step explanation:
This is the answer I got
pls help ill give brainiest
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
Answer:
Step-by-step explanation:
for 182 miles you need 14 gallons
??????? 8 gallons
8/14=x/182
x=182*8/14
x miles=104 miles
( -4 ) 3÷( -4 ) -12
Answer:
(-4)3/(-4)-12
-12/48
-1/4
Step-by-step explanation:
PEMDAS
do multiplication then division
Plz help! Is this right? Question is below!
write the sentence as an inequality
a number m is more than -7 2/3 or at most -10
See attachment for math work and answer.
The given statement in the form of inequality can be written as,[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that,
A number m is more than -7(2/3) or at most -10
From the given data it is observed that the value of the number lies between -7(2/3) and -10.\
The given data can be written in the terms of inequality as,
[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]
Thus, the given statement in the form of inequality can be written as,[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]
Learn more about inequality here:
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there are 4 swimmers. amy swam 2 more laps than sean. katie swam twice as many laps as sean. tom swam 4 more laps than katie. all together the 4 swimmers swam a total of 78 laps. how many laps did sean swim?
Answer:
Sean swam 12 laps.
Step-by-step explanation:
Let S represent Sean
Let S+2 represent Amy
Let 2S represent Katie
Let 2S + 4 represent Tom
Now add together and set it equal to 78
S + S+2 + 2S + 2S+4 = 78
6S + 6= 78
6S=72
S=12
Simplify the expression.
7(a + 3b) + 2(a - b)
A.18a + 18b
B.9a + 23b
C.9(2a + 2b)
D.9a + 19b
Answer:
D.9a+19b
Step-by-step explanation:
7(a+3b)+2(a-b)
7*a=7a
7*3b=21b
2*a=2a
2*-b=-2b
7a+21b+2a-2b
7a+2a=9a
21b-2b=19b
Hope this helps:)