Answer:
[tex]20\:\mathrm{miles}[/tex]
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
[tex]s=\frac{d}{t}, d=s\cdot t[/tex]
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:
[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).
9514 1404 393
Answer:
20.7 miles
Step-by-step explanation:
The distance that A travels in the same direction as B is ...
(18 mi/h)(2 h)cos(35°) = 29.489 mi
So, the difference in distances in that direction is ...
(15 mi/h)(2 h) -29.489 mi = 0.511 mi
__
The distance A travels in the direction perpendicular to B is ...
(18 mi/h)(2 h)sin(35°) = 20.649 mi
So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:
AB = √(0.511² +20.649²) = √426.632 . . . miles
AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours
Is it A or D? im kind of confused
Will the solution (4, 6) satisfy the following equation: x + y = 18?
Simplify.
(x2+x−1)+(2x2−3x+9)
Answer:
32−2+8
Step-by-step explanation:
Eliminate redundant parentheses
thats the answer simplified
1. Identify the parallel lines.
2. Identify the transversal.
3. How many angles are formed by the transversal?
4. Which of the angles are congruent?
5. If ∠5 is 110°, what is the measure of ∠1?
Answer:
1. The parallel lines are m and n
2. The transversal is line t.
3. 8 angles are formed by the transversal.
4. Angles 7 and 5, 1 and 3, 2 and 4, 6 and 8, 6 and 2, 7 and 3, 1 and 5, 4 and 8, 3 and 5, 2 and 8, 4 and 6, and 1 and 7.
5. If m<5 is 110°, then m<1 is also 110°
Hope this helps
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25
Answer:
p - 25
Step-by-step explanation:
Given :
Discount = 25 dollars off
Regular price = p
Sale price in dollars :
Regular price - discount
p - 25
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of sides D E and E F are 5.
Given △DEF, which is not equal to cos(F)?
sin(F).
sin(D).
tan(F).
cos(D).
Answer: tan(F)
Step-by-step explanation:
Answer: C). tan(F)
Step-by-step explanation:
What is 12.6254748322 rounded to nearest tenth
Answer:
12.6
Step-by-step explanation:
Answer:
13.0
Step-by-step explanation:
What is the solution to the equation shown below?
2
32 +5=1
A) X= -6
B) X= 4
C) X= -4.5
D) X= 9
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2/3x+5=1 Equation
Step 2
2/3x+5=1 Simplify
2/3x=-4
Step 3
2/3x=-4 Simplify
answer
x=-6
PLZZZ ANSWERRR FASTT
Answer:
>
Step-by-step explanation:
33/8=4.125
8>4.125
Peaches are being sold for $2 per pound. The customer created a model to represent the total cost of peaches bought
If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best
describes the values of x and y
Answer:
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.Step-by-step explanation:
Answer:
if it is 2$ per pound then 2 time how much you are bying.
Step-by-step explanation:
Someone help 100 points and marking brainliest
Answer:
ehh....130 is your answer alr bye
the answer to your question is 130
A rectangle is 14 inches long and 6 inches wide. Find it’s area
What is the value of x in:
3x + 2(x + 1) = 12?
A.12
B.6
C.10
D.2
Answer:
D
Step-by-step explanation:
3x + 2(x + 1) = 12 ← distribute and simplify left side
3x + 2x + 2 = 12
5x + 2 = 12 ( subtract 2 from both sides )
5x = 10 ( divide both sides by 5 )
x = 2 → D
d .2
d will be the answer
by simplify
helppp meeeee please
help me with this please :)
Answer:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
Hope this helps!
5j-5= 5
----
j5 true or false
Kevin has 7 baseballs. Each baseball weighs 0.3 pound. Ken wants to use this model to find the total weight of the baseballs. Each hundredths block in the model represents 1 whole.
Answer: The total weight of the 7 baseballs are 2.1 pounds, or if using a model, 2 hundredths and 1 tenth.
Step-by-step explanation:7 x 0.3 = 2.1 or 2 hundredths and 1 tenth on the model.
Hint: 1 Hundredth is equal to 1 whole.
Find the solution set to 3(2x - 4) > 2(x + 4)
Answer:
X>5
Step-by-step explanation:
So first distribut the numbers
6x-12>2x+8
now subtrct 2x on both sides
4x-12>8
Now add 12 on both sides
4x>20
x>5
Answer: > 5
Step-by-step explanation: I just know
Plz, HELP! Heather earned 750$ at a summer job and deposited it in a bank. The savings account paid 3% simple annual interest. What is the balance in her account at the end of four years? Please Answer correctly and explain your answer. :D
Answer: 844.131607
Step-by-step explanation:
750/100=7.5
7.5 is 1%
22.5 is 3%
YEAR 1 (750+22.5) 772.5
772.5/100
7.725 is 1%
23.175 is 3%
YEAR 2 (23.175+772.5) 795.675
795.675/100
7.95675 is 1%
23.87025 is 3%
YEAR 3 (23.87025+795.675) 819.54525
819.54525/100
8.1954525 is 1%
24.5863575 is 3%
YEAR 4 (24.5863575+819.54525) 844.131607
:D Done! Please give me brainliest! It took alot of time for me to do this!
12.12 ounces for 3 cups Unit rate
Answer:
4.04 oz per cup
Step-by-step explanation:
sry fam im not gonna give a step by step explanation cuz im in a rush, hope this is enough gl.
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute.
A. about 30 min
B. about 26 min
C. about 44 min
D. about 24 min
Answer:
b
Step-by-step explanation:
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
Factor -5 out of -5d + 30
Answer:
ans below
Step-by-step explanation:
-5(d+6)
Answer:
-5(d-6)
Step-by-step explanation:
When factorising, you need to factorise from all the terms.
Factorising -5 from:
-5d: -5d ÷ -5 = d
30: 30 ÷ -5 = -6
Thus, the answer is -5(d-6)
Please help I’m confused also if you can’t see it just click on the picture.
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
PLEASE ASAP
What is the equation of the line passes through the point (-6, 6) and is parallel to the y=2/3x-1?
Answer:
y=2/3 x+10
Evidence:
Picture
Hope it helped!
Which part of this graph shows a nonlinear relationship?
Answer:
2
Step-by-step explanation:
Answer:
2, D
Step-by-step explanation:
Not only is it not in a line it doesn't hit any points(it curves)
is the following relation a function?
Can someone Plz help me on this........
Answer:
1) a≥−2.5
2) n<1.2
3) b≥−0.8
4) false,
5) r≤0.1
6) y≤0.8
Step-by-step explanation:
1) Divide both sides by -3.2.
−3.2a/-3.2 ≤ 8/-3.2
2) Flip the equation
- n+0.8<2
Subtract 0.8 from the sides
n+0.8−0.8<2−0.8
3) Add 4.2 to both sides.
b−4.2+4.2≥−5+4.2
4) inequality cannot be solved
5) Simplify both sides of the inequality.
−r+5.1≥5
Subtract 5.1 from both sides.
−r+5.1−5.1≥5−5.1
−r≥−0.1
Divide both sides by -1.
-r/-1 ≥ -0.1/-1
6) Flip the equation.
−1.8y≥−1.44
Divide both sides by -1.8.
−1.8y/−1.8 ≥ −1.44/−1.8
good luck with your work!!
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines