Answer:
2160
Step-by-step explanation:
45x4800
divide that by 100!
6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]
= 2025 + 1225 - 3150 (0)
= 3250
x = [tex]\sqrt{3250}[/tex]
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
-2(v - 2) = -3 – 2v
Answer:
no solution
Step-by-step explanation:
Given
- 2(v - 2) = - 3 - 2v ← distribute left side
- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )
- 2v = - 7 - 2v ( add 2v to both sides )
0 = - 7 ← not possible
This indicates the equation has no solution
A supersized laundry detergent has 60% more detergent than the regular size. The supersized has 144 ounces. How many ounces of the detergent are in the regular size
Answer:
90 ounce in regular size
Step-by-step explanation:
The number of ounces of the detergent are in the regular size is 90 ounces.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Percentage of detergent=60%
Number of ounces= 144
Now,
To find how many ounces of detergent are in the regular size, we need to use the information that the supersized has 60% more detergent than the regular size. This means that if we let x be the number of ounces in the regular size, then 144 is equal to x plus 60% of x. We can write this as an equation:
144 = x + 0.6x
To solve for x, we need to combine like terms and isolate x on one side of the equation:
144 = 1.6x x = 144/1.6 x = 90
Therefore, by the given percentage the answer will be 90 ounces.
Learn more about percent here:
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#SPJ2
What is the surface area for this design?
Answer:
Surface Area = 157 in^2
Step-by-step explanation:
Surface area is the area of each side added together.
Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5
2 2
Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5
2 2 27.5
Right = Rectangle = l * w 6.4 * 5 = 32 32
Left = Rectangle = l * w 5 * 5 = 25 25
Bottom = Rectangle = l * w 9 * 5 = 45 45
Top = Rectangle = l * w 5 * 5 = 25 25
157 in^2
Find the missing length of the triangle.
A = 3.4 cm
C = 1.6 cm
B = ?
Answer: b = 3
Step-by-step explanation:
1. a^2 + b^2 = c^2
2. 1.6^2 + b^2 = 3.4^2
3. 2.56 + b^2 = 11.56
4. 11.56-2.56 = b^2
5. 9 = b^2
6. 3 = b
Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.
Equation: y=
Answer:
step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.
step 2. parallel lines have the same slope so the slope is -4.
step 3. y - (-5) = -4(x - (-4)).
step 4. y + 5 = -4x - 16.
step 5. y = -4x - 21.
Can someone help me with this problem? 3 + (-7 + y)
Answer:
−4+y
Step-by-step explanation:
3+(−7+y)
Subtract 7 from 3 to get −4.
−4+y
Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!
Answer:
Step-by-step explanation:
LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)
Divide by Numerator and Denominator by Cos9°
LHS = (1 + Tan9°) / (1 - Tan9°)
= (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)
= Tan (45°+9°)
= Tan 54°
= Cot 36°
hope it helps :)
What is the slope of the line?
Answer:
2
Step-by-step explanation:
from (0,1) to (1,3)
is up 2 over 1
2/1=2
hope this helps!
Simplify using the division rule
14,252
Trs
Answer:
2rs
Step-by-step explanation:
simplify- 2*7r^2s^2/7rs
r^2 divided by r^1=r^(2-1)=r^1=r
s^2 divided by s^1=s^(2-1)=s^1=s
canceling out 7 as it appears on both sides of the fraction line
I need help! I will give brainliest!
Answer:
2nd linear equation represents the graph
Step-by-step explanation:
Answer: C
Step-by-step explanation:
29. You drop a handball from a height of 1 meter. Each curved path has 64% of
the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is when n = 1.
b. What height will the ball reach at the top of the sixth path?
Select all ordered pairs that correspond to input-output pairs of the function y = −7x + 6.
Answer:
There are no options, so i will answer in a general way.
In a function:
y = f(x)
The output is y, and the input is x, and the ordered pair is written as (x, y)
In this case, we have the function:
y = -7*x + 6
Then we need to have different inputs and then find the outputs for each.
For example, if x = 1.
y = -7*1 + 6 = -1
Then we have the ordered pair (1, - 1)
if x = 0
y = -7*0 + 6 = 6
then we have the ordered pair (0, 6)
The general ordered pair is written as:
(x, y = -7*x + 6)
or:
(x, -7*x + 6)
Where you only need to replace the value of x.
The parks department is planting trees. Maple trees cost $50 and Oak trees cost $25. The tree planting budget is $800. What is the x-intercept in this situation
Answer:
looooook ittttt uppppppps bwbebee
Step-by-step explanation:
bagsywbwbebne
e
e
e
e
e
e
e
ejdjdndndeebbebe
Answer: 50 or 25
Step-by-step explanation:
i apologize if i am wrong
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answer:
She Has To Work For Around 23 Hours.
How I Found The Answer:
10 x 23 = 230 Dollars
230 + 25 = 255 Dollars
y = x^2 + 8x + 15 find the y-intercept
Answer:
15
Step-by-step explanation:
To find the y-intercept, just set the x value to 0:
[tex]y=0^2+0x+15=15[/tex]
Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
PLEASE HELP ASAP Will MAKE BRAINLIST
Answer:
The second answer is correct
(Smart people will get this) #10
Answer:
OH OKK NICE TELLING ME
Step-by-step explanation:
Solve the following:
4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2
Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)
What is the y-intercept of y=5x-2
Answer:
the y intercept is -2
Step-by-step explanation:
the y intercept is always the value on the end
Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.
Step-by-step explanation:
Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0
Answer:
+3,+4,+5,+6,-20
Step-by-step explanation:
its:
2+3=5
5+4=9
9+5=14
14+6=20
20- 20=0
i believe so
Select all that apply.
Which of the following are proportions?
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
A line segment has endpoints at A(-1, - 8) and B(5, -4). Which of the following are the coordinates of the
midpoint of AB??
Answer:
(2, -6)
Step-by-step explanation:
(2,-6) because that's the middle of you count.
What is Ac Brainliest
Answer:
Ac is hypotenuse as c=90
Answer:
6
Step-by-step explanation:
let us call dc x
root(16+x2) =ac
root(25+x2)=bc
using the pytogoren theroum for traingle ABC we get
41+2x2=9 squared
41+2x2=81
2x2=40
x2=20
x=2 root 5
so then plugging the values in
you know ac=root(16+x2)
=root(36)
=6
I need ur help with this just two questions. lets see who's good at this. n ofc in return ill brainlist.
market stall holder bought a variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%
write the percentage mark up value as:
1) fraction in simplest form
2) decimal
Answer:
20 x 0.65 = 13
20 + 13 = 33
20 x 65/100 = 13
Answer:
variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65% write the percentage mark up value as: 1) fraction in simplest form ... an acute angle lies in the range. 0 \leqslant \theta ... an angle that measures 65° i
Step-by-step explanation:
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
PLEASE HELP IN ALGEBRA, LAST QUESTION!!
Step by step explanation:
Question 1:
Let's simplify step-by-step.
−3x2+6x+5x2−2
=−3x2+6x+5x2+−2
Combine Like Terms:
=−3x2+6x+5x2+−2
=(−3x2+5x2)+(6x)+(−2)
=2x2+6x+−2
Tiles with the letters A, B, C, D, E, F, G, and H written on them are placed in a bag. Malik draws out one letter at random. Which statements about the situation are true? Check all that apply.
The number of possible outcomes is 8.
The probability of drawing the tile with E written on it is 1/4
P(vowel) = 1/4
P(vowel) + P(consonant) does not = 1
Choosing one letter at random is a simple event.
Answer:
P(vowel) = [tex]\frac{1}{4}[/tex]
Choosing one letter at random is a simple event.
Step-by-step explanation:
P(vowel) = [tex]\frac{1}{4}[/tex]
This is because there are 2 vowels so the probability [tex]\frac{2}{8}[/tex] is which can be simplified to [tex]\frac{1}{4}[/tex] .
Moreover, Choosing one letter at random is a simple event.
The definition of a simple event is one that can only happen in one way, or in other words, it has a single outcome.
Malik's probability of drawing one letter at random is 1/4.
Probability calculation:P (vowel) = [tex]\bold{ \frac{1}{4}}[/tex] It's good to select one letter at random. P(vowel) = [tex]\bold{ \frac{1}{4}}[/tex]Since there are two vowels, the probability is [tex]\bold{ \frac{2}{8}}[/tex], is equal [tex]\bold{ \frac{1}{4}}[/tex].Furthermore, picking one letter at random is an easy procedure.A simple event is one that can only happen one way or has just one conclusion.Find out more about the probability here:
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