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By using what we know about right triangles, we will see that the distance is 1479.4 ft

We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.

Then we use the relation:

Cos(a) = (adjacent cath)/(hypotenuse)

cos(8°) = (1465 ft)/(distance)

distance = (1465ft)/cos(8°) = 1479.4 ft

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Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  [tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  [tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]

Of course, that repeated multiplication can be shown explicitly:

  [tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]

The equivalent expressions to 4^(-3) are B, C, D.

_____

Additional comment

The expression of G evaluates to ...

  [tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]

Answer:

Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height

Step-by-step explanation:

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

Answer:

Here is your answer...

Step-by-step explanation:

1. Triangle = 0

2. Pentagon = 5

3. 15-sided polygon = 90

4. 18-sided polygon = 135

Answer:

B

Step-by-step explanation:

Cut vertical but off vertcal axis.

A will produce a square and C and D will produce triangles.

Answer:

y= 4 - 2/3 x, x= x

Step-by-step explanation: Substitute y=4 -2/3x  [2x=12-3 (4-2/3x)]

Simplify: [2x=2x]

For y = 4- 2/3x

Expressing y in terms of x: y= 4 -2/3x

So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x

Answer:

11

Step-by-step explanation:

Mean - add all the numbers up and divide by the amount of numbers you have.

Add all the numbers up-

17 + 9 + 11 + 7 = 44

Divide by the amount of numbers you have, since you have 4, divide by 4

44/4 = 11

11 would be your answer!

I hope it helps! Have a great day!

Muffin ^^

1. right triangle?

-> c²= g²+b²

c²= 20²+21²

c²= 841

c=V841

c=29

-> triangle BCG is right

2.

cos B= 20/29

tan B= 21/20

sin B= 21/29

sin G= 20/29

cos G= 21/29

tan G= 20/21

Answer:

Yes, 0.6 is greater than 0.59.

Step-by-step explanation:

The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.

The correct answer from the drop-down menu is 3.5.

The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.

Therefore the population mean is the sum of the 12 data set values divided by 12

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean

= 186/12

= 15.5.

The sample mean is given by the sum of the 4 sample values divided by 4

11 + 31 + 22 + 12

Sum = 76.

Therefore the sample mean

= 76/4

= 19.

The sample mean is more than the population mean by

= 19 - 15.5

= 3.5.

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The system of equations that model the situation is:

4c + 2s+ 3b == $29.51

c + 4s + 2b = $21.83

2c + 5s = $21.93

Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.

Methods of solving simultaneous equations are:

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Answer:

c

Step-by-step explanation:

Answer:

Its SAS( side angle side) axiom.

each number has its place on the number line so true

Step-by-step explanation:

and 5 is one place to the left in 15.2

Answer:

McKinley, Logan, Pico de Orizaba

Step-by-step explanation:

Answer:

< 2.

Step-by-step explanation:

< 2 is vertical to < 5.

In the UK we say they are opposite angles, which, to me, makes more sense.

Answer:

a) 1,2; 3.4

b) <1=<6, <6+<6+72=180, 2<6=108, <6=54.

<1=54

You can tell this by "these are parallel lines"

Answer:

B, the answer is B or C believe me

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

A semicircle is 180 degrees

7/9x180=140

Answer: 7/9 degrees = 0.00216 cir

Step-by-step explanation:

The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)

[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]

Answer:

You can set two simultaneous equations and solve it

Let the cost of a plate be x, and the cost of a cup be y.

5x + 4y = 19.6 --- 1

6x + 5y = 23.8 --- 2

25x + 20y = 98 --- 3

24x + 20y = 95.2 --- 4

3 - 4 : x = 2.8

Sub x = 2.8 into 1

5(2.8) + 4y = 19.6

4y = 5.6

y = 1.4

so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars

hope this helps!!! please mark brainliest!!!!

Answer:

5/6

Step-by-step explanation:

( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12

13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6

13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4

Answer:

The first one is obtuse because it is larger than 90 degrees.

The second one is reflex shown below:

Step-by-step explanation:

$4.04 is the answer.

30 x $6.00 = $180

70 x $3.20 = $224

$180 + $224 = $404

404/100 = $4.04

The cost per pound of the blend will be $4.04.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.

Then the cost per pound of the blend will be

⇒ 30 x $6.00 + 70 x $3.20

⇒ $180 + $224

⇒ $404

The cost per pound of the blend will be

⇒ $404 / 100

⇒ $4.04

The cost per pound of the blend will be $4.04.

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Answer:

4/15

Step-by-step explanation:

Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.

We have to find the probability P(factor of 10)

The factors of 10 are 1, 2, 5, and 10.

Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).

Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:

P(factor of 10) = 4/15

Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

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