X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
A. The rate of change of function A is -2 The rate of B is 8
B. The rate of hangs function A is 1 The rate of change of function B is 8
C. The rate of change of function A is -2 The rate of change of function B is 4
D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4
Pls help me!!! And thank yiuuu!!!
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
In order to solve for x, we need to note a few angle relationships here.
A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.
[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]Hope this helped!
How do I give brainliest I forgot whoever lets me know how I will give them it
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
Find the value of x.
The triangle is equilateral, because all three angles will measure 60 degrees. This means that all three sides are equal, so:
7x + 19 = 11x - 89
4x = 108
x = 27
P(Red Blue) =
Probability
NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT
Answer:
60
Step-by-step explanation:
Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third
Answer: 16, 17 and 18
Step-by-step explanation:
Let the consecutive natural numbers be x, x+1, and x+2. We are informed that the sum of the first and the second is 15 more than the third. This will be:
[x + x + 1] = [x + 2] + 15
2x + 1 = x + 2 + 15
2x + 1 = x + 17
2x - x = 17 - 1
x = 16
The numbers are 16, 17 and 18.
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
Drag each tile to the correct box.
Each of these equations holds true for one value of x from the set {5, 12, 15, 18). Arrange the equations in increasing order of the x-values that
make them true.
6x - 15 = 75
2(2x - 1) = 46
X + (x - 10) = 26
5x - 3x = 10
Reset
Next
Step-by-step explanation:
6x - 15 = 75, 6x = 90, x = 15.
2(2x - 1) = 46, 2x - 1 = 23, x = 12.
x + (x - 10) = 26, 2x = 36, x = 18.
5x - 3x = 10, 2x = 10, x = 5.
Hence the equations
in increasing order of x-values are:
5x - 3x = 10,
2(2x - 1) = 46,
6x - 15 = 75, and
x + (x - 10) = 26.
Answer:
5x - 3x = 10
2(2x - 1) = 46
6x - 15 = 75
x+(x - 10) = 26
Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.
Answer:
3.3 or 10/3
Step-by-step explanation:
Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please
Answer:
12.6
Step-by-step explanation:
Given
with reference angle 57°
perpendicular (p) = y
hypotenuse (h) = 15
Now
sin 57° = p / h
0.84 = y / 15
y = 0.84 * 15
y = 12.6
Hope it will help :)
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
A. y= 3x + 1
B. y= x-3
C. y= 2x + 5
D. y= 2x-5
° ♡ ₒ ♡ °
thank you!
Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.
MATH LOVERS PLS!!!!!!!
What is the area of the triangle?
7
5
4
What is the equation of the line in slope-intercept form
Answer:
y = -3/5x - 2
Pleas help me with this F(x)=3x-x Find F(10)
Answer:
f(10) = 20
Step-by-step explanation:
Since the x is defined, you can plug it in, x=10.
Substitute the x with 10, f(10) = 3(10)-10.
Then, simply the equation, f(10) = 20.
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
find the value of x..
Answer:
B x = 7
Step-by-step explanation:
You know based on the ratio that it's being scaled by 4 times because the one side 4 is 16 in the bigger pentagon.
So if you go the side that matches the one you need to solve, it's 2.5.
2.5 times 4 = 10 so that bigger pentagon side should equal 10.
The equation x-3 = 10
which means x is 7
PLEASE HELP ME dhdjdbjfjf
Answer:
Option A
Step-by-step explanation:
Since X,Y and Z are on the same line, The gradient is the same so far as the point chosen are on the same line.
I need help please and thank you
The number of miles, x, that a cross country athlete can run is represented by the inequality
x+3<15
What conclusion can be made about the number of miles?
Answer:
That the number of miles is going to be less than 15
Step-by-step explanation:
If you wanted to solve the inequality then the answer would be x<12
Can you please give me brainliest
The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?
Answer:
0.4016%
Step-by-step explanation:
Estimated Value = 3,500 people , Exact attendance = 3486 people
We can see that there is a Percentage decrease . So we will apply the formula.
%Decrease = Old Value - New Value /Old Value × 100%
%decrease = 14/3486 %
%Decrease = 0.4016% (Answer)
There’s a drawing and I don’t know how to explain it on it
Someone please help me with this questions
Answer:
Coefficient Is the small 2
Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50
Answer:
x = 3 and x = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
(a)
2(5x - 3) = 24 ( divide both sides by 2 )
5x - 3 = 12 ( add 3 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
(b)
5(2x + 1) = 50 ( divide both sides by 5 )
2x + 1 = 10 ( subtract 1 from both sides )
2x = 9 ( divide both sides by 2 )
x = [tex]\frac{9}{2}[/tex]
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
please help I need you
Answer:
The answer is B.
Step-by-step explanation:
Diameter x Pi = Circumference
8 x 3.14 = 25.12
Answer:
B
Step-by-step explanation:
use, or to compare the following numbers. -2 or 12 <>
Answer:
-2 < 12
Step-by-step explanation:
12 is bigger than -2.