Answer:
= 1 2
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add the numbers
Subtract 7 from both sides of the equation then Simplify
Given that AB = 370 m and AC = 510 m, find
(i) the distance between B and C,
(ii) ACB,
(iii) the bearing of C from B,
(iv) the shortest distance from A to BC.
Answer:
(i) The distance between B and C is approximately 552.9 m
(ii) ∠ACB is approximately 40.49°
(iii) The bearing of C from B is approximately 184.49°
(iv) The shortest distance from A to BC is approximately 331.155 m
Step-by-step explanation:
The given parameters are;
The length of segment AB = 370 m
The length of segment AC = 510 m
The bearing of B from A = 68°
The bearing of C from A = 144°
(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;
∠BAC = 144° - 68° = 76°
∠BAC = 76°
Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
By substituting the known values, we get;
a² = 510² + 370² - 2 × 510 × 370 × cos(76°)
a² ≈ 397000 - 91301.3234 ≈ 305698.677
BC = a ≈ √(305,698.677) ≈ 552.9
The distance between B and C, BC ≈ 552.9 m
(ii) By sine rule, we have;
a/(sin(A) = b/(sin(B)) - c/(sin(C))
Therefore;
552.9/(sin (76°)) = 370/(sin(C))
sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321
C = arcsine(0.649321) ≈ 40.49°
∠C = ∠ACB ≈ 40.49°
(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°
The bearing of A from B = 360° - (180° - 68°) = 248°
Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°
(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m
Please help it’s geometry! I’ll make brainliest
A family went to a restaurant for dinner. The subtotal for the meal including tax is $65.90. The family decided to leave a 20% tip. How much did the family pay total including tip?
Answer:
$79.08
Step-by-step explanation:
Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.
65.90 x 0.20 = 13.18
Add 13.18 to the original price.
13.18 + 65.90 = 79.08
two lines that are tangent to p
Answer:
QR
SR
Step-by-step explanation:
QR and SR are tangent to the circle with center P
what is the variable in 5 + 12w
the variable in this question would be........................ W
you are welcom
How many Wednesdays go into 180 days if you start on Monday?
after graduating from college Carlos received two different job offers both pay starting salary of 62,000 per year but one job promises a 3720 raise per year while the other guaranteed to 5% raise each year complete the tables below to determine what salary will be after t years round your answers to the nearest dollar salary with 3720 t years 1 5 10 15 20 salary with 5% raise t years 1 5 10 15 20
Answer:
what the funk
make it shorter or something
Step-by-step explanation:
NEED HELP PLEASE 20 POINTS!!!!
Quadrilateral MNPQ has vertices M(0,6), N(4,4), P(6. – 1), and Q(2,0). Determine the coordinates of the vertices of the image of
the quadrilateral after the translation (x,y) → (x – d4, y +1).
Answer: M(-4,7)P(0,5)Q(-2,1)
Step-by-step explanation:
The translation is telling you to subtract each x value by 4 and add 1 to each y value.
Zahra completed a 5-kilometer race in 40 minutes. If she were able to keep the same pace, how many kilometers could she run in 72 minutes? 6 7 8 9
Answer:
9
Step-by-step explanation:
you can set up a proportion for it (i included a picture of it)
Answer:
I am just doing this to confirm the other person is right. It is 9.
Step-by-step explanation:
The function g(x) is a transformation of the cube root parent function, f(x) = 3/x . What function is g(x) help
Me
The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function g(x) is a transformation of the cube root parent function that will be given below.
f(x) = ∛x.
If we subtract h in the variable of the function then the function shifts toward the left by h units.
And if we subtract k in the function then the function shifts downward by k units.
Then the function g(x) will be
g(x) = ∛(x - 4) - 3
Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
4(4x -4) + x +4= -46
Answer:
X=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(4x−4)+x+4=−46
Step 1: Simplify both sides of the equation.
4(4x−4)+x+4=−46
(4)(4x)+(4)(−4)+x+4=−46(Distribute)
16x+−16+x+4=−46
(16x+x)+(−16+4)=−46(Combine Like Terms)
17x+−12=−46
17x−12=−46
Step 2: Add 12 to both sides.
17x−12+12=−46+12
17x=−34
Step 3: Divide both sides by 17.
17x
17
=
−34
17
x=−2
Answer:
x=−2
Answer:
x=2
Step-by-step explanation:
Hope this helps!! If you need step by step I'll comment it in the comments.
3^(4x-5) = (1/27)^(2x+10) show your work
Answer:
3^4x-5=1/27^2x+10
We move all terms to the left:
3^4x-5-(1/27^2x+10)=0
Domain of the equation: 27^2x+10)!=0
x∈R
We get rid of parentheses
3^4x-1/27^2x-10-5=0
We multiply all the terms by the denominator
3^4x*27^2x-10*27^2x-5*27^2x-1=0
Wy multiply elements
81x^6-270x^2-135x^2-1=0
We do not support expression: x^6
Step-by-step explanation:
10 – 7w – 13 – 7w + 15
I need help plsss!
Answer:
12-14w
Step-by-step explanation:
Based on the information given in the diagram, choose all of the statements that are correct.
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
https://brainly.com/question/27848509
#SPJ6
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
is this a function? pls help
Answer:
It would be no
Help plss don’t answer if ur not sure
Which system of equations has no solutions?
Answer:
A
Step-by-step explanation:
The lines never cross (parallel), so no solutions.
Step-by-step explanation:
A because they are parallel
I don’t think you really see it but if you can please help me I’m to lazy
Answer:
D
Step-by-step explanation:
c = 41.21 - 0.41L
hope this helps <3
Solve the equation.
4b+3=−9
Answer:
b=-3
Step-by-step explanation:
4b+3=−9
-3 -3
4b=-12
4b/4 =-12/4
b=-3
styles clash vs rko who will win
Answer:
rko
Step-by-step explanation:
Answer:
Step-by-step explanation:
styls clash baaaabyyy
can somebody good at math help me with these please I would really appreciate it
Answer:
down below:)
Step-by-step explanation:
sale price discount
1. multiplied by 0.82
2. multiplied by 0.75
3. multiplied by 0.9
1. 18.45
2. 30
3. 23.4
Item 10
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
Answer:
21 Students
Step-by-step explanation:
140 x .15 = 21
The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85. How much money should they leave for the bill and a 20% tip?
Easy points, what’s 9+10?
Answer:
19
Step-by-step explanation:
The question is in the picture. I’ll appreciate it so much !! Thank you !!!
Answer:
y=2x+2
I hope this helped out!
You've analyzed each game. Which game earns
you more points?
A.game 1 (200 points per hit)
B. Game 2 (points double on each hit)
C. It depends
Answer:
C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.
Step-by-step explanation:
Answer:
C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.
Step-by-step explanation:
(-10,-7) (-8,1) find the distance between the two points show work.
Answer:
8.25
Step-by-step explanation:
(-10,-7) (-8,1) find the distance between the two points show work.
The formula for calculating the distance between the two points is expresses as;
D = √(x2-x1)²+(y2-y1)²
D = √(-8+10)²+(1+7)²
D = √(2)²+8²
D = √4+64
D = √68
D = 8.25
Hence the distance between the two points is 8.25
Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options. XY and ST VU and TW XS and XW TX and WX VU and YZ
Answer:
XYand ST , VU and TW, TX and WX
Step-by-step explanation:
Volume of hexagonal right pyramid =[tex]\frac{1}{3}[/tex]×Area of base ×height
Area of base =[tex]\frac{1}{2}[/tex]×apothem ×perimeter
if we consider face TXY ,here height =ST and length XY
(b) consider face TVW, length VU and TW
(d) consider face TWX, length WX and TX
Hence lengths in options (a),(b),(d) can be used to find the volume of hexagonal right pyramid .
Answer:
A, B, D
Step-by-step explanation:
EDGE 22