Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator

Y=
Z=

Answer:

Step-by-step explanation:

10

Answer:

no

at every 30 minutes, a third of the popcorn is consumed.

After an hour, 1/3 + 1/3 = 2/3 of popcorn would be consumed.

At one hour 30 minutes, 2/3 + 1/3 = 3/3 or 1 or all of the popcorn would have been consumed

Step-by-step explanation:

The rate at which popcorn is consumed is 1/3 in 30 minutes

so, in 1 and a half hours, all the popcorn would be finished

1/3 + 1/3 + 1/3 = 1

9514 1404 393

Answer:

  MP = 38

Step-by-step explanation:

Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.

  3x +14 = 9x -34

  48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides

  24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)

  NP = 3x +14 = 24 +14 = 38

  NP = OP = MP = 38

Solved for the value of y and found that y = 5.

In the Pythagorean theorem, the sum of the squares of the sides of a right-angled triangle is equal to the square of the longest side i.e, the hypotenuse of the triangle.

z² = x² + y²

The given triangle is a right-angled triangle. This means that we can use the Pythagorean theorem.

∴ y² + 12² = 13²

⇒ y² + 144 = 169

⇒ y² = 169-144

⇒ y² = 25

⇒ y = 5

Therefore, we have solved for the value of y and found that y = 5. The correct answer is option C.

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Answer:

0.24

Step-by-step explanation:

(13 - 3) 2 / 50

10 + 2 / 50

12 / 50

=0.24

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Exact form: 2/5

Decimal: 0.4

Step-by-step explanation:

Answer:

yes it is exactly 39 ft long

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

using the Pythagorean theorem:

36² + 15² = c²

1296 + 225 = c²

1521 = c²

c = 39 ft

Answer:

A

Step-by-step explanation:

4(y+4)=48

4y +16 =48

48-16=4y

32=4y

y=32/4

y=8

Answer:

A. 8

Step-by-step explanation:

4(y+4)=48

(y+4)=48/4

y+4=12

y=12-4

y=8

HOPE THIS HELPS

Answer:

207.2in

Step-by-step explanation:

Hey There!

So to solve this problem we need to find the circumference of the circle and multiply that by 3 because that is how many rotations the tire would have made

C=2πr

where r = radius

Now we plug in the values

C=2(3.14)11

3.14*2=6.28

6.28*11=69.08

So one full rotation would have traveled 69.08 inches

Now we have to multiply that by 3 becasue they want us to find the distance traveled after three rotations

3*69.08=207.24

Now we round to the nearest tenth

so after 3 rotations the truck will have traveled 207.2in

Answer:

hypotenuse is about 33 ft long

Step-by-step explanation:

a^2+b^2=c^2

a= 30

b=14

30^2+14^2= 1096 =c^2

[tex]\sqrt{1096}[/tex]=c

33.1=c

hypotenuse is about 33 ft long

Answer:

No, the Hypotenuse is 33.11

Step-by-step explanation:

The formula for finding a hypotenuse is:

[tex]\sqrt{x^2+y^2}[/tex]

x=30 and y=14 here

[tex]x^2=900[/tex]

[tex]y^2=196[/tex]

[tex]x^2+y^2= 1,096[/tex]

[tex]\sqrt{1,096} = 33.11[/tex]

So it would be about 33, not 39

Answer:

We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]

Hope this helps!

Answer:

7.142857142857143

Step-by-step explanation:

500/70*10=answer above.

ratio of 500 km to 100 km is 5 : 1

Answer:

Step-by-step explanation:

so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo

they tell us the Hypotenuse  ( Hyp) and one  angle and want that side Opposite ( Opp)  of the angle... sooo use the mnemonic

SOH CAH TOA  

to help remember how the sin , cos, and tan functions fit on a triangle

there problems b/c easy A's when you get this.  :P so learn it, know it, live it  :D

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

now look at which one of the above formulas have the things we know and want to find

Sin looks like a good choice b/c it's got  Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function

Sin(45) = Opp / 6

see how I got that?

[tex]\sqrt{2}[/tex] / 2 = Opp / 6

6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp

3[tex]\sqrt{2}[/tex]  = Opp

the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex]  just leave it

there is  your answer

X  = 3[tex]\sqrt{2}[/tex]

Answer:

-540

Step-by-step explanation:

5(25x+ 2x - 4)

5(27x - 4)

-540

explanation:total=addition

area=base x height plus the width (area the amount beneath the surface).

equation:3cm both sides 3cm

answer: 3+3= 6cm .

Answer: 36

Step-by-step explanation:

Formula: 2 pi rh + 2 pi r2

2 pi 3 • 3 + 2 pi 9

Leave answers in terms of pi

18 pi + 18 pi = 36 pi

Answer = 36

Answer:

9 ft

Step-by-step explanation:

Hope this helps!

Have a great day!

Answer:

B) -1/2

Step-by-step explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer:

Slope = -4

Step-by-step explanation:

Slope = change in y ÷ Change in x

         [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]

Answer:

2 units. Hope this helps!

Answer:

-3/5

Step-by-step explanation:

(y2-y1)/(x2-x1)=Slope  ((1)-(-2))/((-4)-(1)) or  3/-5

Answer: $8727- thsi should be the correct answer

Answer:

18π

Step-by-step explanation:

Answer:

x(x+1)=10(x+1)+26

Step-by-step explanation:

Let the two consecutive positive integers be x and x+1.

The product of these two integers is x(x+1).

The largest of the two numbers is x+1.

By given, x(x+1)=10(x+1)+26.

Answer:

Step-by-step explanation:

It cost $0.46 for 1 kg of peaches $.46/kg

It cost $12.6 for 1 m² of flooring tiles $12.6/1 m² of flooring tiles

It cost $1.6 for 1 L bottle of juice $1.6/L

dont know shrimp

The unit costs are:

(a) $1.85 for 4 kg  peaches= $0.4625 per Kg

(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg

(c) $2.99 for a 1.89 L bottle juice= $1.58 per L

(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²

In order to find the unit value of a quantity then divide the total cost by the quantity to get the unit price.

Unit price = total cost/ total number of quantity

here given

(a) $1.85 for 4 kg peaches

unit cost =  total cost/ total number of quantity

= $1.85/4 Kg

=$0.4625 per Kg

(b)  $16.99 for a 454 g package cooked shrimp

unit cost =  total cost/ total number of quantity

= $16.99/454g

=$0.037 per gram

=$37.423 per Kg

(c) $2.99 for a 1.89 L bottle juice

unit cost =  total cost/ total number of quantity

= $2.99/1.89L

=$1.58 per L

(d)  $283.28 for 22.5 m2 flooring tiles

unit cost =  total cost/ total number of quantity

=$283.28/22.5m²

=$12.6 per m²

Therefore the final unit costs are:

(a) $1.85 for 4 kg peaches= $0.4625 per Kg

(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg

(c) $2.99 for a 1.89 L bottle juice= $1.58 per L

(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²

Learn more about unit value

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Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)

Answer:

$600 after 8 weeks ($400) plus the $200

Answer:

600

Step-by-step explanation:

50x8=400

200+400=600

Answer:

[tex]EF=4\sqrt{3}[/tex]

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]

The area of the triangle is 1/4 of this. Therefore:

[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]

Since DE = DF:

[tex]24=DF^2[/tex]

Thus:

[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

[tex](DE)^2+(DF)^2=(EF)^2[/tex]

Therefore:

[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]

Square:

[tex]24+24=EF^2[/tex]

Add:

[tex]EF^2=48[/tex]

And finally, we can take the square root of both sides:

[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]

Answer:

4\sqrt3

Step-by-step explanation:

we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.

to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.

Answer:

The answer is 30.2

Step-by-step explanation:

subtract 8. Then divide by 2

Answer: 30.2

Step-by-step explanation: so 68.4 - 8 because Angad added 8 so we have to subtract that. So 60.4 divided by 2 because Angad doubled the number,  gets us 30.2.

Hope I could help!