Find the range of the data.
4.8,5.5, 4.2, 8.9, 3.4, 7.5, 1.6,3.8

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]

[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]

[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]

[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]

[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]

[tex]BC = 221.63[/tex]

[tex]BC = 222[/tex] meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

Answer:

25.7, hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is the cyclic quadrilateral.

Opposite angles of cyclic quadrilateral are supplementary:

U and w are opposing so supplementary

Same efor V and T

Answer:

the hire purchase price is $6300 .

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Well

lets go left to right (but it really doesn't matter as it's only multiplication the whole way)

2*3 = 6

6*6 = 36

36 is the answer

Answer:

23/36

Step-by-step explanation:

Add all the numbers

1/2 + 2/3 + 3/4 = 23/12

Divide by 3

23/12 / 3 = 23/36

Answer:

No, not every function will have a hole. This is considered a special case.          A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, [tex]\overline x[/tex] = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

We get;

[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

Answer:

b

Step-by-step explanation:

Answer:

it's b fs[brainliest?]

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

Take the values at either end of the box (80 and 66) and subtract.

Answer:

24, A

Step-by-step explanation:

(Length x height)÷2 = the area of a triangle

Answer:

your question is incomplete but I imagine that your asking how many bags of popcorn they can buy? the answer is 3 or 15/4 depending on what your asking.

Step-by-step explanation:

(3/4)5

15/4

Answer:

3 bags your welcome! :D it's right in khan!

Step-by-step explanation:

Complete question :

Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.

a. Draw the girls’ rectangles, and label the lengths and widths of each.

b. What are the areas of the rectangles in square centimeters?

c. Compare the areas of the rectangles.

Answer:

Colleen = 41.667 cm²

Carolina = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Step-by-step explanation:

To start with, we determine the total number of tiles used

3 Rows of 5 ; 3 in 5 places = 15

Length of collen's square tiles : 1 2/3 = 5/3

Area of collen's square tiles = square of side length, = (5/3)² = 25/9

Area of rectangle formed = area of square * number of tiles

(25 /9) * 15 = 41.667 cm²

Length of carolina's square tiles : 3 1/3 = 10/3

Area of collen's square tiles = square of side length, = (10/3)² = 100/9

Area of rectangle formed = Area of square * number of tiles

(100/9) * 15 = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Answer:

She earns $ 37.5  by walking 50 laps

Step-by-step explanation:

This method is called unitary method.

If we know the value of 1 unit of an item we can calculate any number of units of item.

For 1 lap she earns 75 cents.

She walks 50 laps.

She earns for 50 laps = 50*75= 3750 cents

Now we have to converts cents into Dollars for convenience.

1$ = 100 cents

3750 /100 = $ 37.5

Answer:

this doesn't make any sense.

Answer:

YZ = 44

Step-by-step explanation:

Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:

WA * AX = ZA * AY

We can substitute the values we are given to get:

(2x - 6)(21) = (x + 1)(30)

42x - 126 = 30x + 30

12x - 126 = 30

12x = 156

x = 13

Using segment addition postulate, we can say that:

YZ = YA + AZ

And we can plug in what we know from the diagram:

YZ = 30 + x + 1

We can also plug in the value of x, 13

YZ = 30 + 13 + 1 = 44

Answer:

C

Step-by-step explanation:

It is negative.

Answer:

w=(-5t)+20,000

Step-by-step explanation:

Answer:

Options A, C, and F

Step-by-step explanation:

Answer:

yes by SAS

Step-by-step explanation:

EN = RP

EM = PQ

Angle N = Angle R

Answer: 2/15

Step-by-step explanation:

2 red

2 blue

2 white

6 total

2/6 chance of getting red (1/3)

2/5 chance of getting blue next

2/5*1/3 = 2/15

I think. Sorry if I’m wrong.

Answer:

58

Step-by-step explanation:

Answer: G

Step-by-step explanation:

probability of picking a red jelly first = 14/56 or 1/4

probability of picking a green jelly next = 8/55

1/4*8/55 = 2/55

Answer:

10:30 hours

Step-by-step explanation:

Total distance=300 Miles, Start Time=07:15

Distance travelled so far is 125 miles for 2.5 hours

First we need to calculate Ayoub's speed as follows

Speed=Distance/Time

=125miles/2.5hour

=50 miles/hr

The calculate the remaining distance

=300-125

=175 Miles

Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is

Time=Distance/speed

Substituting the values

Time=175/50

=3.5 hours

The time he will arrive at Paris is

07:15+03:30

=10:30 hours

In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com

Question 2

First calculate the time taken to travel from woodpine to Westray

Time=Distance/ Speed

=32.5/65

=0.5 hours or 30 minutes

Next we calculate the average speed

Average speed is calculated by taking the total distance divided by total time taken

Total distance =32.5+100

=132.5KM

Total time=2+0.5

Average speed=132.5/2.5

=53km/

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]9.4 \div 20 \\ = 0.47[/tex]

Answer:

I NEED POINTS

Step-by-step explanation:

I'm just gonna answer this.

Answer:

52.6 or you can make it 52.5

Step-by-step explanation: