Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
simplify (5^0+4^-0•5)^2
Answer:
anything raised to the power of zero= 1
(1+1/4^½)²
(1 + 1/2)²
(3/2)²
9/4
=2.25
Given that Ray B A bisects ∠DBC, which statement must be true?
B is the midpoint of DC.
Solve this quadratic equation.
[tex]2x {}^{2} - 5x + 2 = 0[/tex]
Answer:
x = 1/2 or 2
Step-by-step explanation:
You can factor this as ...
2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring
2x(x -2) -1(x -2) = 0 . . . . factor by grouping
(2x -1)(x -2) = 0 . . . . factor out (x -2)
x = 1/2, 2 . . . . . . values of x that make the factors zero
solve for x 7(x+2) =6(x+5)
Answer:
16
Step-by-step explanation:
Distribute 7 into x and 2, which gets you 7x+14. Then distribute 6 into x and 5, which is 6x+30. 7x-6x= x, 30-14=16 so there’s your answer.
Answer:
Step-by-step explanation:
7x + 14 = 6x + 30
x + 14 = 30
x = 16
(3x)2 – 7y2, when x = 3 and y = 2
[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]
Answer:
115
Step-by-step explanation:
(3x)^2 – 7y^2
Plug in:
(3×3)^2 – 7×2^2
9^2 - 14^2
81 - 196
115
Hope this helped.
-5x(x+1)
simplify the answer
Answer:
[tex]-5x^2-5x[/tex]
Step-by-step explanation:
[tex]-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x[/tex]
Answer:
-5x^2 -5x
Step-by-step explanation:
-5x(x+1)
Distribute
-5x*x +-5x*1
-5x^2 -5x
please help me Find the volume of this shape.
Answer:
240 m^3
Step-by-step explanation:
It's a cuboid with a volume=l*b*h, where l, b, h are the dimensions of the shape.
Volume=5*12*4=240 m^3
Answer:
V =240 m^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l is length w is width and h is height
V = 12*4*5
V =240 m^3
Maria had 600 coins in her wallet, but now she has 30 left of coins. What percentage of the 600 money does he have left?
Answer:5
Step-by-step explanation:30/600×100
Answer:
5%Step-by-step explanation:
[tex]\frac{30}{600} \times 100\\\\= \frac{3000}{600}\\ \\= 5\%[/tex]
ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z = x - y.
A
B
(x+30)° (x-30)
(y+20)
D
С
Answer:
(x+30)+(x-30)=180
2x=180
x=90
x+30=y+20
90+30=y+20
y=100°
There for z = -10
x = 1, 2, 3 , 4 ,5
y = 15, 12, 9, 6, 3
Write an equation which describes the rule in the following table:
Answer:
y = -3x + 18Step-by-step explanation:
We can see:
x- values increase by 1 unity- values decrease by 3 units (slope is -3).This is a linear relationship. Use point-slope form to find the equation:
y - 15 = -3(x - 1)y = -3x + 3 + 15 y = -3x + 182. Describe the means-extremes property.
Step-by-step explanation:
For example:
Ex: 2:3 :: 6:9
In this question, the means are 3 and 6.
The extremes are 2 and 9.
We use this method to find whether the two ratios are equal or not.
We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.
If these two ratios are proportional, their "means" = "extremes"
=> Means = Extremes
=> 3 x 6 = 2 x 9
=> 18 = 18
So, these two ratios are proportional.
Hope this helps you.
is the square root of 2 between 1.4 and 1,5
Answer:
The square root is around 1.414, so yes, it is between 1.4 and 1.5.
Step-by-step explanation:
The value root of 46 of lies between which two consecutive integers
Answer:
6 and 7
Step-by-step explanation:
Paul travels from Rye to Eston at an average speed of 90 km/h He travels for T hours.
Mary makes the same journey at an average speed of 70 km/h She travels for 1 hour longer than Paul.
Work out the value of T .
Answer:
3.5 hours
Step-by-step explanation:
Paul:
Speed = 90 km/hTime= T hoursDistance = 90T kmMary:
Speed = 70 km/hTime = T + 1 hoursDistance = 70(T+1) kmSince the distance is same, we have:
90T = 70(T+1)90T= 70T + 7090T - 70T = 7020T= 70T= 70/20T= 3.5 hoursAnswer: Paul's travel took 3.5 hours
I need help this is urgent
Write an equation of the line below
Write rhe set of decimals in order from least to greatest. A) 9.3,3.09,3.9,3.011
Answer:
The digits arranged in order from least to largest is 3.011, 3.09, 3.9, 9.3
Step-by-step explanation:
The arrangement of decimals in order from smallest to largest can be done by taking note of the digit in the unit portion, the tenths, hundredths and thousandths.
The numbers are;
9.3
3.09
3.9
3.011
The largest number is the 9.3
Of the three numbers with 3 as unit, the lowest hundredths is 0.011, therefore, we have;
Therefore, the least (lowest) number = 3.011
The next is the 3.09 as 0.09 is larger than 0.011
Then the second number is 3.9
The digits arranged in order from least to largest is then 3.011, 3.09, 3.9, 9.3.
Consecutive terms are __________________.
Answer:
Consecutive terms are numbers which follow each other in order, without gaps, from smallest to largest.
Example:
12, 13, 14 and 15
or
2, 24, 26, 28 and 30 (Even Consecutive)
or
40, 45, 50 and 55 (Consecutive Multiples of 5)
SOURCE/GOOGLE
Answer:
Consecutive numbers are numbers that follows one other in their counting order. Each number in the order will be higher than the previous number by 1.
They are always ordered from the smallest to the largest value.
Step-by-step explanation:
Example :
7, 8, 9, 10 are consecutive numbers.
23, 24, 28, 29 are not consecutive numbers.
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
Answer:
The answer is below
Step-by-step explanation:
To find the maximum amount of cargo the truck can carry, we need to find the volume of the truck.
Volume = length × width × height.
Firstly 1 feet (1') = 12 inches (12"),
For the extra ledge that sticks out, the height = 7'8" = 7.667 feet, the width = 16'9" - 14'3" = 16.75 - 14.25 = 2.5 feet, the length = 2'7" = 2.583 feet
Volume of extra ledge = length × width × height = 2.583 × 2.5 × 7.667 = 49.5 feet³
For the truck, the height = 7'8" = 7.667 feet, the length = 14'3" = 14.25 feet, the width = 6'6" = 6.5 feet
Volume of truck = length × width × height = 14.25 × 6.5 × 7.667 = 710.16 feet³
The maximum volume = volume of extra ledge + volume of truck = 49.5 + 710.16 = 759.66 feet³
I need help will rate brainliest please
Answer:
the stone fell in the air for 7 sec and fell in the water for 5 sec
Answer:
Let time taken in air be 'a'
And the time taken in water be 'b'
a+b=12
Distance covered in air = 16a
′′′′′ ′′″″ water= 3b
16a + 3b = 127
Solve the two equations simultaneously
a= 7 secs
b= 5 secs
Find the distance between the points A(13, 2) and B(7, 10). The distance between the two points is
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question , the points are
A(13, 2) and B(7, 10)
The distance between them is
[tex] |AB| = \sqrt{( {13 - 7})^{2} + ({2 - 10})^{2} } \\ = \sqrt{ {6}^{2} + ( { - 8})^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} [/tex]We have the final answer as
10 unitsHope this helps you
The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If Steve's budget is $200, how many hours could the electrician work?
12.5 hours
22 hours
11 hours
Answer:
12.5 hours
Step-by-step explanation:
budget: 200
fix cost: 50
hourly rate: 12
hours: ?
----
First we deduct the fix 50 dollars cost from the total budget.
Then we divide the remaining amount with the hourly rate
( 200 - 50 ) / 12 = ?
? = 12.5 hours
Find the area of the circle.
Use 3.14 for it. Do not round your answer.
Hint: A = Tira
14 inches
Area = [?] inches?
Enter the number that
belongs in the green box.
Use the formula given. R is half the diameter
R = 14/2 = 7 inches.
Area = 3.14 x 7^2
Area = 153.86 inches^2
Answer:
Does the answer help you?
6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ?
Answer:
7
Step-by-step explanation:
Given line a with 6 points on it, and line b with 4 points on it. Line a is parallel to line b, such that the two lines do not meet at any point even when extended.
Join the first point on line a to that on b, then back to the second point on a, return back to the second point on b, and continue till the line stops at the 5th point on line a. This forms triangles with vertices at the given points on the lines. The possible number of triangles that can be formed is 7.
Just need the final answer
Answer:
[tex]\boxed{\sf a) \ 15.9}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for x.
cos θ = adj/hyp
cos(51) = 10/x
x = 10/cos(51)
x = 15.89015729
7.
Find the number of real number solutions for the equation. x2 – 18 = 0
A. cannot be determined
B. 0
C. 1
D. 2
256x²+² - x²y² + 49y²+²
[tex]\\ \sf\longmapsto 256x^2y^2-x^2y^2+49y^2x^2[/tex]
[tex]\\ \sf\longmapsto 256x^2y^2-x^2y^2+49x^2y^2[/tex]
[tex]\\ \sf\longmapsto (256-1+49)x^2y^2[/tex]
[tex]\\ \sf\longmapsto 304x^2y^2[/tex]
Find the value of |5| - 4(32 - 2).
Answer:
115
Step-by-step explanation:
5 - 4(30)
5 - 120
115
Answer:
-115
Step-by-step explanation:
Since anything in between those two lines (absolute value) always comes out positive and the five inside there is already positive, we don't need to worry about it.
First let's look at what's inside the parenthesis.
5 - 4(32 - 2)
= 5 - 4(30)
Next, we'd multiply. (I'm going by PEMDAS)
5 - 120
Now that we've done that we just need to subtract. Generally, 120-5=115, so, we just need to make it negative.
Hope this helps!! <3 :)
1: The best statement for reason 6 of this proof is -∠A ≅ ∠C
-∠B ≅ ∠D
-∠B and ∠D are supplements
-∠B ≅ ∠B
2.The best reason for statements 3.5. and 7 in this proof is
- Alternate interior angles are congruent.
-Corresponding angles are congruent.
-Alternate exterior angles are congruent.
-Interior angles on the same sides of a transversal are supplements.
3. The best statement for reason 8 of this proof is
-∠B ≅ ∠B -∠A and ∠C are supplements.
-∠B ≅ ∠D
-∠A ≅ ∠C
Answer:
1) -∠B ≅ ∠D
2) -Interior angles on the same side of a transversal are supplementary
3) -∠A ≅ ∠C
Step-by-step explanation:
1) Given that ∠A and ∠B are supplements and ∠A and ∠D are supplements, we have; ∠B ≅ ∠D
2) Given that ABCD is a parallelogram, therefore ∠A and ∠B, ∠A and ∠D and ∠B and ∠C are interior angles on the same side of a transversal and are therefore supplementary
3) Given that ∠A and ∠B and ∠B and ∠C are supplementary, therefore, ∠A ≅ ∠C.
What is an equation of the line that passes through the points (-2,8) and (1, -1)?
Answer:
y = -3x + 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 8 / 1 - (-2)
-9/3
= -3
y = -3x + b
-1 = -3(1) + b
-1 = -3 + b
2 = b
“Give the perimeter for each figure as a simplified expression”