Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC

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 1

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

A scuba diver descends 80 feet, rises 25 feet, descends 12 feet, and then
rises 52 feet where he will do a safety stop for five minutes before surfac-
ing. At what depth did he do his safety stop?

Answers

Answer: That would be 15ft

does this graph represent a function? if yes why?

Answers

Yes, it is a function because each member in the domain is assigned to exactly one member in the range

What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units
оооо
508.7 units squared
678.2 units squared
1,186.9 units squared
1,256.0 units squared

Answers

1,186.9 units squared

what is x ? pleasee help !!!

Answers

Answer:

It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.

Step-by-step explanation:

Please help me lol!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Im pretty sure it’s “ A “

help me plez There are 100 bolts in 5 bookcases.

What is the unit rate in bolts per bookcase?


2 bolts per bookcase

20 bolts per bookcase

50 bolts per bookcase

200 bolts per bookcase

Answers

20 bolts per bookcase

Answer:

20 bolts per bookcase

Step-by-step explanation:

The sum of 5 times one number, x, and 4 times a second number, y, is 87. If the sum of the two numbers is 20, find the two numbers. Pls hurry need it before schools is over
(hint will mark brainiest)

Answers

Step-by-step explanation:

We have 5x + 4y = 87 and x + y = 20.

=> 5x + 4y = 87 and 4x + 4y = 80.

5x + 4y = 87

- (4x + 4y = 80)

=> x = 7

Therefore (7) + y = 20, y = 13.

The answers are x = 7 and y = 13.

What is the equation of the line that has a slope of 1/3 and goes through the point (6,−2)?

A. y = 1/3x − 4
B. y = 1/3x + 4
C. y = 1/3x − 8
D. y = 1/3x

Answers

Answer: A) y = 1/3x − 4

Step-by-step explanation:

Find the Equation Using Point-Slope Formula

slope: 1/3

point: (6, −2)

Use the slope 1 and a given point (6, −2) to substitute for [tex]x_1[/tex]  and [tex]y_1[/tex]  in the point-slope form  

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), which is derived from the slope equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

  y − (−2) = 1/3 ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

  y + 2 = 1/3 ⋅ (x − 6)

Solve for y.  

  1/3 ⋅ (x − 6).

Apply the distributive property.

  y + 2 =  1 /3 x +  1 /3 ⋅ − 6

Combine 1/3 and x.

  y + 2 =  x/3 +1/3 ⋅ −6

Cancel the common factor of 3.

  y + 2 =  x /3 − 2

Move all terms not containing y to the right side of the equation.

Subtract 2 from both sides of the equation.

  y = x/3 − 2 − 2

Subtract 2 from −2. x

  y = x/3 − 4

Reorder terms.

  y = 1/3x − 4

List the equation in different forms.

Slope-intercept form:  

y = 1/3x − 4

Point-slope form:

y + 2 = 1/3 ⋅ (x − 6)

omg someone do these for me and ill give brainliest please im rushing

Answers

1. 74 tens

2. 3, 7, 11

3. 4 2 5

4. 23

5. 560

6.440

7. Sum

8. 1 dollar and 40 cents

9. 84 cents

Hope this helps plz mark brainly :)

Answer:

1. 74

2. 3, 7, and 11

3. 4, 2, and 5

4. 20.2307692308

5. 560

6. 440

7. sum

8.  Chloe

9. 84 cents

PLEASE HELLPPP MEEEEE

Answers

Answer:

2x - 3y = 24

Step-by-step explanation:

You use the formula Ax ± By = C.

This is the standard linear equation form.

Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer at the senior center on both days?

Answers

Answer:

Saturday 3 9/10 hours = 60/10 = 6, 6 X 9 =54

3 hours 54 mins

Sunday 5 1/6 hours = 60/6 = 10, 10 X 1 = 10

5 hours 10 mins

3 hrs 54 mins + 5 hrs 10mins = 9 hrs 4 mins

Answer:9 4/10

Step-by-step explanation:

In Mr. Layden's class, three students
brought in their baseball card
collections. For their three
collections, the mode was 126 and
the range was 26. What are two
possibilities for the number of cards
in each student's collection?

Answers

Answer: 126, 126, 152

or

100, 126, 126

Step-by-step explanation:

2
Expand and simplify
6(a+3) - 4(1 – 3a)

Answers

Answer:

(6a + 18)+(-4 +12a)

6a +12a + 18 -4 = 18a + 14

18a +14 = 0

18a = -14

a = -0/7 ~ -0/8

Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the
tree and looks up. The angle of elevation from the ground to the top of the tree is 33º. How
tall is the tree? Which equation would be used to solve this problem?

Answers

Answer:

[tex]81.2\:\mathrm{ft}[/tex]

Step-by-step explanation:

We can form a right triangle and use basic trig for a right triangle to solve this problem:

[tex]\tan33^{\circ}=\frac{h}{125}[/tex], where [tex]h[/tex] is the height of the tree.

Solving, we get:

[tex]h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}[/tex].

Which property best describes the congruence statement below?
ДАВС = ДАВС
A. Symmetric property
OB. Reflexive property
OC. Commutative property
O O O
D. Transitive property

Answers

Answer:

I think B.Reflexive property

The property best describes the congruence statement is

Symmetric property.

What is Congruence?

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal.

We know,

The Symmetric Property states that for all real numbers

if x = y then y=x

and, Transitive Property

The Transitive Property states that for all real numbers

if x = y and y = z then z=x.

and, Reflexive Property

for any x, x = x.

Here, the property used is Symmetric.

Learn more about symmetric Property here:

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ben jogged 4 1/2 miles in 1 1/4 hours at a constant rate. how far did ben jog in one hour

(the answer on top)

Answers

Answer:

b is the answer

Step-by-step explanation:

4 1/2 divided by 1 1/4 = 3 3/5

The distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles

Distance, Rate, and Time

From the question, we are to determine how far Ben jogged in one hour. That is, how far he jogged per hour.

This means we should determine the rate

Using the formula,

Rate = Distance / Time

From the given information,

Distance = 4 1/2 miles

Time = 1 1/4 hours

∴ Rate = 4 1/2 ÷ 1 1/4

Rate = 3 3/5  miles/hour

Hence, the distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles

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when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

Answers

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Avery has a points card for a movie theater. She receives 75 rewards points just for signing up. She earns 6.5 points for each visit to the movie theater. She needs 140 points for a free movie ticket. How many visits must Avery make to earn a free movie ticket?

Answers

Answer:

10 times

Step-by-step explanation:

After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65

If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket

65/6.5 = 10

Answer:

10 times bud.

Step-by-step explanation:

Hope this helps!

Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!


242‾√ in; 288 in2


482‾√ in; 288 in2


242‾√ in; 144 in2


482‾√ in; 144 in2

Answers

Answer:

Perimeter: [tex]48\sqrt{2} \: \mathrm{inches}[/tex]

Area: [tex]288\mathrm \: \mathrm{square \: inches}[/tex]

Step-by-step explanation:

If the diagonal of the square is 24 inches, the side length of the square is [tex]12\sqrt{2}[/tex] inches ([tex]2x^2=24^2[/tex]). The perimeter of this square is then [tex]4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}[/tex] and the area [tex](12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}[/tex].

The area of the square is 288 in.² and the perimeter is 48√2 in.

Given to us,

Diagonal of the square = 24 in.

We know that for a square,

[tex]\bold{(Diagonal)^2 = 2\times (side)^2}[/tex]

substituting the values,

[tex]{(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}[/tex]

Also, the area of a square is given by (side)², and, perimeter by (4 x side).

[tex]\bold{Area = (12\sqrt2)^2 = 288 in.^2}[/tex]

[tex]\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}[/tex]

Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.

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A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?

Answers

240 - 144 = 96

96/240 = 0.4 = 40%

2 equivalent rations for 6/5 ? please help !!!

Answers

Answer: 12/10 and 24/20
Explanation if you simplify these fractions it’s becomes 6/5

Jim invested $4,000 in a bond at a yearly rate of 4.5%. He earned $540 in interest.How long was the money invested?

Answers

Answer:

3 years

Step-by-step explanation:

540 = 4000 x 0.045x

540 = 180x

x = 3

A bear cub walks
5/6 miles in 5/12
age
hours. What is its
speed in terms of miles per hour?

Answers

Answer:use math(way

Step-by-step explanation

It help

Answer: 2 miles per hour

Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2

PLEASE HELP! WILL MARK BRAINLIEST

Answers

The third option. Lmk if u need work
The third I believe :)

13q-30q =
Please show work

Answers

17q you have to subtract to get the answer

Can some one help (8 grade math)

Answers

Answer:

A

Step-by-step explanation:

V = pie x r*2 x h

help please it’s for a project and please show work if you helping me out i appreciate anywho who takes the time out and actually helps me

Answers

Answer:

B ($905)

Step-by-step explanation:

Plug in $17 for the h value in the equation, and you get this:

c = 50 (17) + 55

c = 850 + 55

c = 905

So the answer is $905 for 17 hours of work (plus the service fee)

Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?

Answers

Answer:

17 right

Step-by-step explanation:

68 percent of 25 is 17

PLEASE MARK ME AS BRAINLIEST!!!!!<3

Dakota answers 17 questions correctly

robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
he also agrees to pay the loan back over a 10 year period.

how much money in total will he have paid back at the end of 10 years?

Answers

Answer:

the total amount that should be paid back at the end of 10 years is £10,200

Step-by-step explanation:

The total amount that should be paid back at the end of 10 years is shown below:

= Borrowed amount + simple interest

= £6000 + (£6000 × 0.07 × 10)

= £6000 + £4,200

= £10,200

Hence, the total amount that should be paid back at the end of 10 years is £10,200

Solve for x !!!!!!!!

Answers

X=42 because 35/x=15/18
Cross multiply
15(x)=35(18)
15x=630
Divide both sides by 15
X=42
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