The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3). Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park. (–3, –3) (–1, 0) (0, 0) (6, –1) (6, 6)

Answer:

[tex]\boxed{x=73.74}[/tex]

[tex]\boxed{y=16.26}[/tex]

[tex]\boxed{z=25}[/tex]

Step-by-step explanation:

Hello there!

Algebra 1

The first thing we should find is the missing angle

Because this is a right triangle we can solve it using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given two legs so we plug in a and b and solve for c

[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]

so we can conclude that the missing side length ( or z) equals 25

now to solve for the angles

Trigonometry

We can solve for y using sin

sin = opposite side divided by the hypotenuse

the opposite of y is 7 and the hypotenuse is 25

so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]

now we solve for y

[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]

then we round to the nearest hundredth

so we can conclude that angle labeled y = 16.26

basic geometry

Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180

180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74

Answer:

DJthresh

ugh yet the wasn't Hagel

Answer:

B

Step-by-step explanation:

sin60°=x/12

⇒x= 6√3

Answer:

[tex]x = -2, y = 6[/tex]

Step-by-step explanation:

[tex]-x + 4 = -4x-2[/tex]

[tex]x = -2[/tex]

Plug back into either one of the equations to get y  = 6

Answer:

35

Step-by-step explanation:

6 x 5 = 30

We can assume each seed packet has 5 seeds

6 x 7 = 35

Answer:

Step-by-step explanation:

30(total num of sections)-5(amount of sections with concert ticket)=25

25x70(seats per section)=1750

1750 will get coupons

(you  dont  need the bits in brackets tehy are there to just explain so you know whay and why im  doind a calculation)      

Hence, the bags will get coupons are [tex]1750[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Jamie's company prepares a gift bag for each seat at an awards ceremony. The theater has [tex]30[/tex] sections, each with [tex]70[/tex] seats. Gift bags for [tex]5[/tex] sections will have concert tickets. The rest of the gift bags will have coupons.

Total number of sections are [tex]30[/tex]

Amount of sections with concert tickets are [tex]5[/tex]

So,the gift bags will have coupons is

[tex]30-5=25[/tex]

As each sections has [tex]70[/tex] seats so,

[tex]25[/tex] x [tex]70[/tex] [tex]=1750[/tex]

Hence, the bags will get coupons are [tex]1750[/tex].

To know more about the simplification

https://brainly.com/question/12795317

#SPJ5

Complete question :

It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?

Answer:

26 miles

Step-by-step explanation:

The distance traveled is given by :

Distance = speed * time

Distance covered on small road :

24 mph * 1/2 hours = 12 miles

Distance covered in highway :

56 mph * 1/4 hours = 14 miles

Total miles traveled = 12 + 14 = 26 miles

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps         :)

Step-by-step explanation:

the formula can be;

X+9x=10

10x=10X=10/10=1

X=1+9(1)=1+9=10 Answer

Answer:

Congruent figures have the same measurements in angles (degrees) and sides (units).

Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.

Something they have in common are corresponding angles and corresponding sides.

Answer:

35/40

I think that’s what you mean? Hope this helped

Step-by-step explanation:

Answer:

Question 2 is 6

Step-by-step explanation:

I don’t understand what your asking on if you can simplify what is the GCF

Answer:

3,468

Step-by-step explanation:

i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468

Answer:

area = 250 in²

Step-by-step explanation:

5 x 2.5 = 12.5 in

8 x 2.5 = 20 in

area = 20 x 12.5 = 250 in²

Answer:

x = 9

Step-by-step explanation:

This is a 45-45-90 right triangle so the sides are in the ratio x: x: [tex]x\sqrt{2}[/tex]

Answer:

32+32÷32=32+1=33 is your answer

Answer:

12

Step-by-step explanation:

12 - 4 = 8

The square of 8 is 64

Answer:

6

Step-by-step explanation:

(n + 4)^2 = n^2 + 64

n^2 + 8n + 16 = n^2 + 64

8n = 48

n = 6

Answer:

i cant see it...

Step-by-step explanation:

...

Answer:

y=2/3x-6

Step-by-step explanation:

i hope this helps :)

Answer:

24

Step-by-step explanation:

To find how many 1/12 are in 2 divide 2 by 1/12

2/(1/12) = 2 x 12 = 24

[tex]{ \sf{ \: factorise \: \: \: { \underline{ \green{2 {x}^{5} - 7 {x}^{3} - 4x}}}}} \\ \\ { \dashrightarrow{ \blue{ \sf{taking \: x \: common}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{ \:x(2 {x}^{4} - 7 {x}^{2} - 4)}}}} \\ \\ { \dashrightarrow{ \sf{ \blue{let \: {x}^{2} be \: equal \: to \: a}}}} \\ \\ { \leadsto{ \sf{ \green{ \: x( 2{a}^{2} - 7a - 4)}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{x(2 {a}^{2} - (8a \: - a) - 4}}}} \\ \\ { \leadsto{ \sf{ \green{x(2 {a}^{2} - 8a + a - 4)}}}} \\ \\ { \leadsto{ \sf{ \green{x(2a(a - 4) + 1(a - 4))}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{x(2a + 1)(a - 4)}}}} \\ \\ { \sf{ \: now \: putting \: the \: value \: of \: a}}[/tex]

[tex]{ \leadsto{ \green{ \sf{x(2 {x}^{2} + 1)( {x}^{2} - 4)}}}} \\ \\ { \leadsto{ \green{ \sf{ x( {x}^{2} + 1)( {x}^{2} - {2}^{2} )}}}} \\ \\ { \leadsto{ \green{ \sf{x( {x}^{2} + 1)(x + 2)(x - 2)}}}}[/tex]

Answer:

Step-by-step explanation:

Answer:

I = $ 800.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 4000 × 0.05 × 4 = 800

I = $ 800.00

The simple interest accumulated

on a principal of $ 4,000.00

at a rate of 5% per year

for 4 years is $ 800.00.

hope it helps :)

Answer:

the cat can eat 1 1/4 bag of cat food n 1 month

Step-by-step explanation:

Answer:

24:66

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

150/100*20=$30

150-30=120

120/150=0.8=80%

Answer:

LOOK AT YOUR ANSWER IN PICTURE

Answer:

The answer is x + 33

Step-by-step explanation:

1) Remove parentheses.

[tex]45 + x - 12[/tex]

2) Collect like terms.

[tex]x + (45 - 12)[/tex]

3) Simplify.

[tex]x + 33[/tex]

Therefor, the answer is x + 33.

Answer:

x+33 is your answer

Step-by-step explanation:

45 + (x - 12)

45+x-12

x+45-12

x+33