Answer:
24 km/hStep-by-step explanation:
The speed of the boat in the lake = xThe speed of the current = 3 km/hRequired equation:
54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/hWhat is the slope of a line perpendicular to the line with equation y = 5x – 2?
5
−15
–2
–5
Answer:
- [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.
Answer:
112.3
Step-by-step explanation:
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36
Answer:
C. x is the variable
Step-by-step explanation:
easy...
A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)
If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:
(120 N) cos(30°) = 60 √3 N ≈ 103.923 N
Then the work done by the boy on the mower over a distance of 12.8 m is
(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J
Find the value of two numbers if their sum is 19 and and their difference is 5
Answer:
7 and 12
Step-by-step explanation:
x - y = 5
y = (5+x)
x+ (5+x) = 19
2x +5 = 19
2x = 14
x = 7
19-7 = 12
12 +7 = 19
12-7 = 5
hello whats this ? ill give brainliest
Answer:
congruent
Step-by-step explanation:
90+90=180
so not 0 or 270
and complementary means they add up to 90 and none of that is true
so it has to be congruent
what is the full form of CRT
Answer:
Cathode Ray tube is the answer I think
2 in.
2 in.
2 in.
Fine the area
evaluate the following intervals
x^-4dx
Answer:
simplified:
[tex]\frac{d}{x^3}[/tex]
and Find the integral if that's what you also wanted:
[tex]-\frac{1}{3x^3} +3[/tex]
An 80–calorie apple is 4% of jeremy’s daily caloric intake. What is Jeremy’s daily caloric intake?
Answer:
3.2 calories
Step-by-step explanation:
4% is .04
so
80 x .04 = 3.20
there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 217 minutes produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?
The newer machine works at a unit rate of
(5400 cans) / (180 min) = 30 cans/min
while the older machine operates at
(5400 cans) / (217 min) ≈ 24.88 cans/min
So working together, the two machines work at a rate of about 54.88 cans/min. Producing 5400 cans would then take about
(5400 cans) / (54.88 cans/min) ≈ 98.39 min
Please look at the screenshot
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside
Answer:
55.43cm^2
Step-by-step explanation:
Area of a hexagon given the apothem = 1/2 x perimeter x apothem
apothem = 4cm
To find the perimeter, take the following steps
4 = x√3
x = 4/√3
Multiply by 2
8√3
Since a hexagon has 6 equal sides, multiply by 6
Perimeter = 48√3
Area = (1/2) x 48√3 x 4 = 55.43cm^2
An inequality is shown 1 < -18% 8 Which value of x makes the inequality true??
Answer:0.02
Step-by-step explanation:
The World Health Organization (WHO) suggests having 23 health-care workers for every 10,000 people. How many health-care workers are needed to meet the suggestion of 250,000 people? Justify your answer using a graph.
Answer:
The correct answer is 575.
Three pairs of shoes cost $108. If each pair costs the same, how much does each one cost?
A.$32
B.$34
C.$36
D.$38
Answer:
C: 36
Step-by-step explanation:
There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.
HELP!!!
A ratio is a comparison between two quantities with different kinds of units. True Or False
Answer:
False
Step-by-step explanation:
A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.
A discipline committee is selected by placing the names or 12 teachers in a bag and than randomly drawing 3 of the names it there are 7 math teachers and 5 english teachers what is the probility that the committee will be made up of all math teachers a7/44 b7/12 c35/288 d7/288
Answer:
b
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that the committee will be made up of all math teachers = total number of maths teacher / total number of teachers
7 / 12
Help me pls TwT, I’m terrible at math
Answer:
The answer is 49
Step-by-step explanation:
Rate of change= (f(b)-f(a))/(b-a)
a = 3 and b = 5
Rate of change = (125-27)/(5-3)
= 49
solve for x
[tex]\frac{7}{x+4}[/tex] = 4
Give your answer as an improper fraction in its simplest form.
Answer:
-9/4 = x
Step-by-step explanation:
4 is the same as 4/1
this problem is a proportion which can be solved by cross-multiplying:
7 = 4(x+4)
7 = 4x + 16
-9 = 4x
-9/4 = x
find x. please explain
Answer:
5
Step-by-step explanation:
We can figure out the triangle is 30-60-90. So we use the pythagorean theorem. 13^2 - 12^2 = x^2. 25 = x^2. square root of 25 is 5.
Find the perimeter and area of the rhombus.
answer:
perimeter- 12 units
area- 4.5 units
step-by-step explanation:
perimeter-
p=4a
=4*3
=12
area-
a=pg/2
=3*3/2
=4.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
In a circle with a 12-inch radius, find the length of a segment joining the midpoint of a 20-inch chord and the center of the circle.
x =
Answer:
X=295.6
Step-by-step explanation:
I took the test
Answer:
295.6
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints. (10, 7) and (5, 4)
Answer:
[tex]\frac{15}{2} , \frac{11}{2}[/tex]
Step-by-step explanation:-
To find the midpoint, the equation we use is:-
[tex]\frac{x1 +x2}{2} , \frac{y1 + y2}{2}[/tex]
x1 = 10
x2 = 5
y1 = 7
y2 = 4
Substituting the values in the equation, we get:-
[tex]\frac{10+5}{2} , \frac{7+4}{2}[/tex]
Coordinates of the midpoint---> [tex]\frac{15}{2} , \frac{11}{2}[/tex]
.
What is the perimeter of this tile?
3 in.
3 in.
Answer:
I think it's 12
Step-by-step explanation:
is x = 10 part of the solution 2x + 5 > 23? why or why not?
Answer: Yes
Step-by-step explanation: 2 x 10 = 20, then add the 5 to get 25, which is larger then 23 :)
Evaluate the expression below for x = 4 6 (x +7)
Answer:
D. 66
Step-by-step explanation:
6×(4+7)
6×11
=66
f(x)=x^2-3x+2 find f(2)
Answer:
[tex]y=x^{2} -3x+2[/tex]
Step-by-step explanation:
Give me Brainllest plz T-T
Answer:
0
Step-by-step explanation:
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?
For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.
Answer: for every 2 cups of lemonade there are 5 cups of tea
Step-by-step explanation: