Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC
Answers
Answer:
AC = 12.4 km (nearest tenth)
Step-by-step explanation:
AC can be calculated by using Pythagorean Theorem.
Thus:
AC² = AB² + BC²
Plug in the values
AC² = 8² + 9.5²
AC + √{154.25)
AC = 12.4 km (nearest tenth)
Related Questions
Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?
Answers
Answer:
65 parlingsStep-by-step explanation:
Use ratios:
7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65Roscoe hit a ball straight up at a speed of 96 ft/s. His bat hit the ball at a height 3 ft above the ground. After how many seconds did the ball hit the ground? (Give your answer to the nearest hundredth of a second.)
Answers
Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
Help meeeeee! plsssssssssssssssssssssssssssss
Answers
Step-by-step explanation:
Store a must offer 30%
I hope this helped :)
Mr Doyle mowed 2/7 of his lawn. His son mode 1/3 of it. Who made most of the lawn? How much of the lawn still needs to be mowed?
Answers
Answer:
His son mowed most of it and 8/21 of it still needs to be done.
Step-by-step explanation:
Trust me
Rate 5 stars mark as brainliest and press thancks plz!
Which statements are true regarding triangle LMN? Check all that apply.
Answers
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
For the expression 15-15z to have a negative value, what must be true about the value of z?
Choose the correct answer.
A. The value of z has to be 0.
B. The value of z has to be less than 1.
C. The value of z has to be greater than 1.
D.The value of z has to be negative.
Answers
Answer:
C. The value of z has to be greater than 1
Step-by-step explanation:
[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]
x3−2=10 help plz i need help
Answers
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
Answers
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
15 POINTS!
Please help
Thank you
Answers
Answer: 1. 2 x^3 - 13 x + 15
2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x
Step-by-step explanation:
A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answers
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea
is 24. Find, to the nearest foot, the distance from the boat to the foot of the
lighthouse. (The foot of the lighthouse is at sea level.)
Answers
Answer:
Lighthouse= 160 ft Theta= 24 We want to find the length so we will dotan(24)= 160/x x= 359 feetThe distance from the boat to the foot of the lighthouse is 359.36 ft
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 24.
The whole situation is representing a right triangle (refer to figure)
Let the distance from the boat to the foot of the lighthouse be x
We know that, angle of depression = angle of elevation
Then, using formula of height and distance,
tan 24° = 160 / x
x = 160 / tan 24°
x = 359.36
Hence, the distance from the boat to the foot of the lighthouse is 359.36 ft
For more references on height and distance, click;
https://brainly.com/question/15939509
#SPJ2
Find the Mean,
3, 9, 13, 8, 10, 2
Mean
can someone help me?
Answers
Answer:
7.5
Step-by-step explanation:
3 + 9 + 13 + 8 + 10 + 2 = 45
There are 6 numbers so we divide 45 by 6
45/6 = 7.5
What is 7.4 + ? = 1.
Answers
How many terms are there in the following expression:
3x + 2y + 8 - x +7y
there are terms in the expression.
Answers
when you combine like terms you are left with 10x + y + 8 which is 3 terms.
{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
5
2
Answers
Answer:5
Step-by-step explanation:
because idrk my teacher just answered this question and i thought i would share :)
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
Answers
(If you want me to explain I can)
Hope this helps
Have a great day/night
41
Explanation:
-6x+5
Plug in -6 as x
-6(-6)+5
=36+5
=41
I hope this helps!
The measures of the acute angles of a right triangle are in the ratio 5:7
Answers
Answer:
37.5:52.5
Step-by-step explanation:
5u + 7u = 90
12u = 90
u = 7.5
So the angles are (5x7.5) =37.5 degrees
(7x7.5) = 52.5 degrees.
The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?
Answers
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
Call the actor spam her she blocked me 3053035819 call her name lauren.
Answers
Answer:
so, its 2.34 to the square root of 163
Step-by-step explanation:
you need to find the angle congruent to side 'actor'
times that by your credit card and divide by lauren
hope i get brainliest!!
Solve:
1/3(2x-6/5)=4/9(x+1/3)
Answers
[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]
[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]
[tex]54x - 162 = 60x + 60[/tex]
[tex] - 222 = 6x[/tex]
[tex]x = - 37[/tex]
I guess it's right.We learnt this way in Turkey.
Evaluate the expression for the given value of x.
3x + 4 for x= 5
Answers
19
Explanation:
3x+4
Plug in 5 as x
3(5)+4
=15+4
=19
I hope this helps!
Please help i dont get this
Answers
Answer:
11-2m
Step-by-step explanation:
33-6m/3
= 3(11-2m)/3
= 11-2m (the 3 cancels out)
help me so much rn plz plz
Answers
Answer:
5(9+x)
Step-by-step explanation:
5 x 9 = 45
then if do 5 times x it would look like 5x
Simplify the fraction and state the excluded value(s).
[tex]\dfrac{7x^2+4x-20}{5x+10}[/tex]
Answers
Answer:
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringCalculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]
Step 2: Simplify
[Frac - Numerator] Factor quadratic: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}[/tex][Frac - Denominator] Factor GCF: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}[/tex][Frac] Divide/Simplify: [tex]\displaystyle \frac{(7x - 10)}{5}, x \neq -2[/tex]When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]
General Formulas and Concepts:Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra ITerms/Coefficients
Factoring
Calculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)^_^ ❤
Anthony and Jesus decide that they want to buy a Playstation 5 together. They each have $225. Ray has a Gamestop coupon that gives him 10% off his order, so they decide to go to Gamestop. The price of the Playstation is $499.00. If tax is 7%, will they be able to buy the console? If not, how much money will they have to borrow from their parents?
Answers
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answers
Answer:
I think the answer is A, D, E, F, and G.
Tell me if i'm right or wrong please.
Answer:
adefg
Step-by-step explanation:
Write in point-slope form an equation of the line that passes through the point (3,0) with slope 23.
Answers
Answer:
[tex]y-0=23(x-3)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and [tex]m[/tex] is the slope
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point
[tex]y-0=m(x-3)[/tex]
Plug in the slope
[tex]y-0=23(x-3)[/tex]
I hope this helps!
Which word best describes a parallelogram with diagonals that are congruent and perpendicular?
A. rectangle
B. rhombus
C. square
D. trapezoid
Answers
Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18
Answers
Answer:
After 7 weeks, Mia's office will have recycled 21 pounds.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.
3 weeks → 9 pounds
7 weeks → x
x=(7*9)/3
x=21
According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.
2/5k - 3/5 + 1/10k ?
Answers
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
