what’s the answer to this !!

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

learn more about sine rule from

https://brainly.com/question/27174058

#SPJ1

Answer:

-8<2x+5

Step-by-step explanation:

-2 times 8x= -16x

-2 times 4=-8

-16-(-8)<2x+5

-16-(-8)=-8

-8<2x+5

Answer:

\(x > \frac{1}{6} \)

Step-by-step explanation:

The solution is in the image

Answer:

59982927663

Step-by-step explanation:

hope this helps :)

Answer:

599829276636

Step-by-step explanation:

The answer to your question would be 59982927663 because if you do

 672281

x  89223

you multiply the numbers down then across and do not forget to carry therefor your answer is 59,982,927,663.I hope it helps you!

Answer:

m = \(\frac{3}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, - 1 ) and (x₂, y₂ ) = (3, 8 )

m = \(\frac{8-(-1)}{3-(-3)}\) = \(\frac{8+1}{3+3}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\)

Answer:

3/2

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

    = (8- -1)/( 3 - -3)

    = (8+1)/(3+3)

     = 9/6

    = 3/2

Answer:

\(\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} \)

Answer:

Step-by-step explanation:

t says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.

-> (2, 1) -> + 4 units on X

-> = (6, 1)

or

-> (2, 1) -> +4 units on Y

-> = (2, 5)

(2, 5) isn't an answer so the unique possible answer is (6, 1)

Answer: (6, 1)

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

The circumference of the larger pizza is 12.56 longer than the smaller pizza.

The length around the circle or the perimeter of the circle is called its circumference.

Given that, Anthony ordered two pizzas for a party. One was a small pepperoni pizza with a radius of 5 inches, and the other was a large cheese pizza with a 7 in. radius.

We need to find how much longer than the circumference of the smaller pizza,

We know that,  

Circumference of a circle = 2πr.

Therefore,

Circumference of the larger pizza = 2 × 3.14 × 7 = 43.96 in

Circumference of the smaller pizza = 2 × 3.14 × 5 = 31.4 in

Therefore,

Subtracting the circumference of smaller pizza from larger pizza to get the difference = 43.96 - 31.4 = 12.56 in

Hence, the circumference of the larger pizza is 12.56 longer than the smaller pizza.

Learn more about circumference, click;

brainly.com/question/4268218

#SPJ1

Answer:

1. x = 2    y = 1

2. x = 17   y = 29/3

Step-by-step explanation:

1. Use elimination

-4x+3y=-5

4x-5y=3

x's cancel, so add them

-2y = -2

y = 1

substitute

4x -5(1) = 3

4x - 5 = 3

4x = 8

x = 2

2. Use elimination  

2x+3y=36

10x-6y=12

Multiply top equasion by 5

10x+30y = 360

10x-6y = 12

x's cancel so subract

36y = 348

y = 29/3

Substitute

2x+3(2/3)=36

2x+2 = 36

2x = 34

x = 17

Answer:

addition property of equality, subtraction property of equality, simplified, division property of equality and simplified.

Step-by-step explanation:

Answer:

1  given

2  Combining like terms  

3    addition property of equality

4   simplification

5   division property of equality

6   simplification

Step-by-step explanation:

In step 2, the like terms of x and x were combined and simplified to -2x.

In step 3, adding 7 to both sides of the equation to isolate the variable term is justified by the addition property of equality.

In step 4, the constants are combined on each side for simplification.

In step 5, dividing both sides of the equation by -2 to isolate the variable is justified by the division property of equality.

In step 6, simplification results in the solution of x = 4.

Answer:

0.0019, 0.0091, 0.091, 0.55, 0.59, 5.0, 90.5

Answer:3/2

Step-by-step explanation: so you have the number of cups of Chex Mix in the bag is 3x = 3*9 = 27 cups and the number of cups of chocolate chips is 2x = 2*9 = 18 cups. Indeed, we see that 27 + 18 = 45 and 27/18 = 3/2 as required.

The statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is false.

When we say that an estimated regression coefficient is statistically significant, we mean that it is statistically different from zero, not from 1.

The reason for this is that the null hypothesis in a hypothesis test for a regression coefficient is typically that the true value of the coefficient is zero. Therefore, if we reject the null hypothesis and find that the estimated coefficient is statistically significant, we conclude that there is evidence to suggest that the coefficient is not equal to zero and therefore has a non-zero effect on the response variable.

In some cases, we may be interested in testing whether a regression coefficient is equal to a specific value, such as 1. However, this would be a different hypothesis test with a different null hypothesis, and the result of this test would not necessarily be related to whether the coefficient is statistically significant or not.

Therefore, the statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is not accurate.

Learn more about estimated regression coefficient on:

https://brainly.com/question/17004137

#SPJ1

Answer:

Step-by-step explanation:

.................8908989

Answer:

equal

alternate exterior angles

Step-by-step explanation:

The measure of given angles are equal to each other because they are alternate exterior angles,

Answer:

you need 13.5 water stations

Step-by-step explanation:

1 km = 1000 meters

5km = 5000 meters

(5,000m / 400m) + 1  = 13.5

It is just a way of describing a set.

You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.

Here are a few examples:

{x| x > 0} This is read: The set of all x such that x is greater than 0.

Reading it character by character:

{ — shows you that we are talking about a set, and it sort of opens up, or starts the set

x — tells you that we are talking about a set of elements x

| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.

x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.

So this example is just how you would use set builder notation to talk about the set “the positive real numbers”

So why use it? Because it can describe more complicated sets much more succinctly.

2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}

3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

For similar question on depreciation.

https://brainly.com/question/15998639  

#SPJ8

Answer: 7 freezer bags.

The number that is illustrated based on the information about the fraction is -10.

It should be noted that in mathematics, a fraction is expressed as a quotient of a numerical. The numerator is divided by the denominator.

The number when n is multiplied by a power of 10 will be n^-10. It should be noted that this will then make a fraction of 1/n^10.

Therefore, the number that is illustrated based on the information about the fraction is -10.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

The answer is three red balls

Answer:

0.65A = X

Step-by-step explanation:

Given that an item that regularly sells for A dollars is on sale for 35% off its regular price, to write an expression that shows the price in dollars after the discount the following equation must be proposed:

100 - 35 = 65

0.65A = Discount price

Therefore, if the regular price were $ 50, this equation would work as follows:

0.65 x 50 = X

32.5 = X

The green family will double their investment in 34 years after the principal is subject to compound interest continuously.

The principal invested = $2500

Rate of interest annually = 2.75%

Time = t years

Amount  = double of principal = 2500 × 2 = $ 5000

Interest is compounded continuously

Formula to calculate the amount is given by:

\(A=Pe^{rt}\)

Now we will use the values to find the exact value of t

or, \(5000 = 2500 e^{0.0275t}\)

or, ln 2 = 0.0275t

or, t = 25.205 years

or, t ≈ 25 years

Compound interest allows interest to accumulate over time as opposed to simple interest, which does not compound because prior interest is simply not added to the principal for the current period.

The simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year.

Hence the Green family will have doubled the investment in approximately 25 years.

To learn more about compound interest visit:

https://brainly.com/question/13155407

#SPJ1

Applying the two-tangent theorem, the length of AN is: 21 units.

The two-tangent theorem is a geometric theorem that states that if two tangents are drawn to a circle from a point outside the circle, then the lengths of the tangent segments are equal. This theorem is often used in geometry to find the length of tangent segments and to prove the existence of tangents to circles.

More formally, the two-tangent theorem states that if P is a point outside a circle with center O, and if PA and PB are tangents to the circle from point P, then PA = PB. In other words, the lengths of the two tangent segments are equal.

From the image above, AM and AN are two tangents from the same circle. Also, AN is also tangent with 29 - 2y.

This implies that the three tangents are congruent. Therefore:

6y - 3 = 29 - 2y

6y + 2y = 29 + 3

8y = 32

y = 32/8

y = 4

AN = 6y - 3

Plug in the value of y

AN = 6(4) - 3

AN = 21 units.

Learn more about the two-tangent theorem on:

https://brainly.com/question/4506246

#SPJ1

Answer:

Hope the picture will help you

Answer:

19

Step-by-step explanation:

Answer:

19

because it has only two factors and prime has only two factors