800 ÷ 30
SHEEEEEEEEEEEEEEEESH

Answer:

x= -4

y=2

put the values

( -4-16)2+(2-6)2=1

(-20)2+(-4)2=1

-40-8=1

-48 is not equal to 1.

Answer:

In five years, the enrollment would have been 10,724 students

Step-by-step explanation:

The general depreciation formula is given as;

P = I( 1 - r)^t

where P is the present population

I is the initial

r is the rate of depreciation = 4.5% = 4.5/100 = 0.045

t is 5 years

substituting these values;

P = 13,500 (1- 0.045)^5

P = 10,723.84

Answer:

x=-1, y=-2. (-1, -2).

Step-by-step explanation:

2x-5y=8

3x+5y=-13

----------------

5x=-5

x=-5/5

x=-1

2(-1)-5y=8

-2-5y=8

5y=-2-8

5y=-10

y=-10/5

y=-2

Answer: a circular movement

Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.

EX) a full rotation is 360

Answer:

53 inches

Step-by-step explanation:

use the Pythagorean Theorem

c^2 = a^2 + b^2

x^2 = 28^2 + 45^2

x^2 = 784 + 2025

x^2 = 2809

Take the square root of both sides

x = 53

Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/

Answer:

(-5,-8) reflected over the y-axis turns to (-5,8)

Answer:

m=4

Step-by-step explanation:

look at the traingle formed with line with points (6,5) and (4, -3)

look at change in y (how tall the triangle is) and change in x (the base of triangle)

change in y=8

change in x=2

m=rise/run also known as change in y/change in x

=8/2

=4

note that this is a positive gradeint line

Answer:

360

Step-by-step explanation:

60 divided by 15=4

90 x 4 =360

Answer:

720 miles

Step-by-step explanation:

This is assuming the train continues to move at the same speed.

You can think about the problem in the following way:

The 2 hour journey is split up into x number of 15 minute segments.

2 hours = 120 minutes

120/15 = 8

Therefore, x = 8.

If the journey can be split into 8 15 minute segments, and each 15 minute segment carries it 90 miles, the total distance traveled is given by:

8 * 90 miles = 720 miles

Atlernatively, you can calculate the average speed of the train.

Speed = Distance/Time

So: Speed = 90 miles/15 minutes = 6 miles/minute.

Reusing the above formula, substituting in speed = 6 miles/minute and time = 120

Answer:

b= 8

Step-by-step explanation:

you use Pythagorean theorem to solve this problem

a² + b² = c²

since you already have a and c and you're missing b you rearrange the formula to:

[tex]c^{2}[/tex]-[tex]a^{2}[/tex] = b²

17² - 15² = b²

64² = b²

[tex]\sqrt{64}[/tex] = b

8 = b

Step-by-step explanation:

To find side b use Pythagoras theorem:

Hypotenuse²=Base²+Height ²

17²=B²+15²

289-225=B²

64=B²

√8=B²

So,

8 yards is Side B

Now,

We can use Heron's Formula

√S(S-A) (S-B) (S-C)

Let's find semi perimeter

17+15+8/2

40/2=20

So, S=20

Let A=8,B=15,C=17

√20(20-8) (20-15) (20-17)

√20×12×5×3

√2×2×5×5×2×2×3×3 (Factorising the numbers)

2×5×2×2×3

120 yards Answer

hope it helps...

Answer:

The numbers would be 21,23 and 25.

The largest is 25. (If this is what you are asking)

Step-by-step explanation:

The question stated that 3 consecutive odd numbers made up that 69.

Therefore, you can divide the 69 by 3 to determine the range of these numbers.

69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)

Reason why you divide:

For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.

Hope it helps.

Answer:

f(x)=2499(0.079)

Step-by-step explanation:

Answer:

Student =100

Step-by-step explanation:

Answer:

y < (3/4)x

Step-by-step explanation:

Answer:

4th picture is the correct one :)

The distance between Ernie and Elmo is 20.38 feet.

Consider the distance between Ernie and Elmo be x

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

The Sine rule is used to solve angles and sides of triangle.

If a triangle ABC has angles A, B and C at the vertices of the triangles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is;

Given parameters;

A = 30°

a = x = ?

B = 105°

b = 12 m

Therefore, [tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}[/tex]

0.5/ x = 0.9659 / 12

Cross multiplication;

0.9659x = (12) (0.5)

0.9659x = 6

Divide both sides by 0.9659;

(0.9659x/0.9659) = (6/0.9659)

x = 6.21 m

Since 1 m = 3.281 ft

Then;

6.21 m = (6.21) (3.281) = 20.38 ft

Hence, the distance between Ernie and Elmo is 20.38 feet.

Learn more about law of sines here:

https://brainly.com/question/17289163

#SPJ2

Answer:

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

The prism has six sides, so check that whatever list you make lines up.

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

Answer:

The answer is $28,620.

Step-by-step explanation:

$53,000 * 2.7% = 1431

$1,431 * 20 = $28,620

Hope this helped you!!!

Answer:

take 19 degree as reference angle

using sine rule

sin 19 degree=x/74

0.32=x/74

0.32*74=x

23.68=x

Step-by-step explanation:

Hope this helps u !!

Answer:the  pair of simultanous equations that model Andy's and Ron's ages are

3A-2R=6----Equation 1

R-A =2----Equation 2

Andy is 10 Years and Ron is  12 years  

Step-by-step explanation:

Andy's age is represented as A

and Ron';s age is represented as R

Now if Andy multiplies his own age by 3. He then subtracts twice Ron's age. ​The answer is 6 can be expressed mathematically as

3A-2R=6

And if Ron subtracts his age from Andy's age. ​The answer is −2  can be expressed as

R-A =2

Therefore the  pair of simultaneous equations that model Andy's and Ron's ages are

3A-2R=6----Equation 1

R-A =2----Equation 2

Solving becomes

3A-2R=6----Equation 1

R-A =2----Equation 2

Make R subject formulae in equation 2

R =2+A

Putting R =2+A in equation 1

3A-2(2+A)=6

3A -4-2A =6

A-4=6

A=6+4=10

From eqn 2,

R-A =2

R-10 =2

R=10+2=12

Andy is 10 Years and Ron is  12 years  

Answer: the answer is 5

Step-by-step explanation:

17-(6*2)

17-12

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

Answer:

80%

Step-by-step explanation:

Can i have brainliest please

Answer:

<x=28 degrees

Step-by-step explanation:

Since we know line KL and FG are perpendicular, and DE and FG are parallel, then KL and DE must also be perpendicular.

Angles GCA, JCB, IAE, and CAD are all the same angle. Angles IAD, EAC, GCJ, and ACB are all the same angle. Since DE and KL are perpendicular, then angles KAD, KAE, EAL, and DAL all are 90 degrees, or right angles.

Because we know all this, we can take the angle of KAD, 90 degrees, and subtract 62 from it to find the angle of IAD. This is 28 degrees. Since angle IAD is equal to angle GCJ, which is also angle x, angle x is 28 degrees.

Hope this helps! Please mark me Brainliest!

Answer:

[tex](x+5)^2+(y-6)^2=41[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius

1) Plug in the center (-5,6)

[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]

2) Plug in the given point (-1,1) and solve for r²

[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]

Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:

[tex](x+5)^2+(y-6)^2=41[/tex]

I hope this helps!