Julia has 2 chemistry books and 3 math books. In her rush to get to class, she grabs two books without stopping to look. What is the probability that she pulls out a math book and a chemistry book?

The angle between the two forces of 560 N and 222 N is 80.96°

The resultant of two vectors P and Q refer to the magnitudes of the vectors and it can be expressed by the formula [tex]\mathbf{R = \sqrt{P^2 +Q^2 +2PQ cos \theta }}[/tex]

Now, using the above equation, we can easily determine the angle between the forces of the two vectors as follows:

[tex]\mathbf{634 = \sqrt{560^2 +222^2 + 2(560 \times 222) \ Cos \theta }}[/tex]

[tex]\mathbf{401956 =313600 +49284 + 248640 \ Cos \theta }}[/tex]

[tex]\mathbf{401956 -313600 -49284 = 248640 \ Cos \theta }}[/tex]

[tex]\mathbf{39072= 248640 \ Cos \theta }}[/tex]

[tex]\mathbf{ Cos \theta = \dfrac{39072}{248640}}}[/tex]

[tex]\mathbf{Cos \theta =0.1571}[/tex]

[tex]\mathbf{ \theta =80.96^0}[/tex]

Therefore, we can conclude that the angle between the forces is 80.96°

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Answer:

27½

Step-by-step explanation:

7½×3⅔=((7×2+1)/2) × ((3×3+2)÷3)

= (15×11)÷6=165/6

165/6= 27½

The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] simplifies to [tex]3\frac{5}{6}[/tex].

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] is 15/2 - 11/3.

Now, LCM of 2 and 3 is 6.

∴ (45 - 22)/6.

= 23/6.

= [tex]3\frac{5}{6}[/tex]

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Answer:

D. d-0.29

Step-by-step explanation:

29÷(0.29)=100

29÷0.29=100

They both equal 100 meaning that D is the answer.

Answer:1,504

Step-by-step explanation:

20x16=320

20x12=240

16x12=192

16x20=320

12x16=192

12x20=240

add them all the answer will be 1,504

Answer:

13cm

Step-by-step explanation:

In this case you have to use the Pythagorean theorem.

cy = 24/2

cy=12 cm ( a perpendicular drawn to a chord from the center bisects the chord..

ac=5 cm (given)

now,

ay^2= 25cm + 144 cm

ay^2 = 169 cm

√169 = 13 cm

Answer:

13 cm

Step-by-step explanation:

Since AC is perpendicular to XY , and XA and AY are both radii of the same circle, you can say that AC is a perpendicular bisector.

From there, we can say that XC is 1/2 of 24 cm, or 12 cm.

We can then form triangle ACX use the Pythagorean theorem to find the length of AX.

The square root of 12^2 + 5^2 is 13.

Therefore, the radius of the circle is 13 cm

Answer:

isosceles

Step-by-step explanation:

isosceles

Answer:

I (interest) = $1.58

Step-by-step explanation:

A = $11.58

A = P + I where

P (principal) = $10.00

I (interest) = $1.58

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 10.00(1 + 0.05/1)^(1)(3)

A = 10.00(1 + 0.05)^(3)

A = $11.58

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10.00 at a rate of 5% per year compounded 1 times per year over 3 years is $11.58

Tthe total weight of the liquid in the tank, to the nearest full pound is 13,514 pounds.

The first step is to determine the volume of the tank.

Volume of a hemisphere = Volume of a hemisphere = (2/3) x (π) x (r³)

2/3 x 5³ x 22/7 = 261.91 ft³

Weight = 261.91 ft³ x 51.6 = 13,514 punds

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Answer:

integers are not fractions so there you go

Answer:

c²=a²+b².

Step-by-step explanation:

28²=17²+b² 766=289+b². -b²=289-766. b²=√475

Answer:

B

Step-by-step explanation:

-½(10+¼)

-½*10 + -½*¼

-5 + -⅛

-5-⅛

Don't forget a positive and negative makes a negative

Answer:

f(3) = 1

x = 2

Step-by-step explanation:

f(2) = 3 then x = 2

Please ,Check the illustration I provided.

Answer:

given below

Step-by-step explanation:

1 a. Sample space : 2 green, 1 red, 10 blue

b. Sample space : top surface, bottom surface, curved surface ( side)

c. shooting a free throw in a basketball game ( sorry I dont know this one )

Answer:

Step-by-step explanation: X = 4/3 or X= 1.3

3x + 1 = 5

3x = 5 - 1

3x = 4

X= 4/3 or X= 1.3

Answer:

The answer is 35 degrees

Step-by-step explanation:

Subtract 105 degrees and 40 degrees from 180 degrees

So just 180 - 105 - 40 =35

Answer:

35 degrees

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Because the exponent shows how many times you multiply that number

Example: 8^2 would be 8x8 because it is to the second power

Hopefully this helps

Answer:

Step-by-step explanation:

8•8•8•8•8 is the correct answer

Answer:

X⁶

Step-by-step explanation:

x⁹/x³

= x⁹-³

= x⁶ is the answer

Answer:

E. [tex]x^{6}[/tex]

Step-by-step explanation:

To divide two fractions we subtract the power of second expression from the first one:

[tex]x^{(9-3)} = x^{6}[/tex]

Answer:

5.2 I hope this helps. Im not the best at math...

Answer:

the answer should be like 5.2 or something close to that.

Step-by-step explanation:

i tried doing the math no promises that its right..

Answer:

a(2)+2(1)=8

2a+2=8

2a=8-2

2a=6

a=3

Answer:

x to the 3rd power

Step-by-step explanation:

x+x to the 2nd power = x to the 3rd power

Step-by-step explanation:

The area is the sum of three figures

A = 1*1 + 1*x + x²

   = x² + x + 1

The perimeter is the sum of border segments

P = x*4 + 1*4

  = 4x + 4

There are 80% of mangoes which are good condition.

Percentage is a relative value indicating hundredth parts of any quantity.

Given that, A basket contains 40 mangoes out of which 8 are rotten.

Mangoes in total = 40

Number of mangoes which are rotten = 8

Mangoes which are good condition = 40-8 = 32

Percentage of good mangoes = 32/40x100 = 80%

Hence, 80% of mangoes are not rotten.

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Answer:

Step-by-step explanation:

1st is a net of a square pyramid.
2nd is a net of a square pyramid.

3rd is not a net of a square pyramid.

4th is not a net of a square pyramid.

5th is a net of a square pyramid.

6th is not a net of a square pyramid.

Answer:

  see attached

Step-by-step explanation:

A net of a square pyramid will have four triangle shapes representing the lateral faces, and one square shape representing the base. The vertices of the triangles that are opposite the base edge will meet at a single point.

__

Figures 3 and 4 must be rejected because they have 3 and 5 triangles, respecively.

Figure 6 must be rejected because the figure cannot be folded to form a square pyramid. (The two left-side triangles will overlap.)

Answer:

10years

Step-by-step explanation:

100%+100%=double

100/10=10 years to reach 100% so after ten years you will have 200%/double

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[tex] \\ \large \purple{ \sf{Given→}} \\ [/tex]

nd

[tex] \sf{A = 2P} \\ \sf{A = 2 \times 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}[/tex]

[tex]\blue{\rule{70mm}{2.2pt}}[/tex]

[tex] \\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r \times t)}[/tex]

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→Substituting values

[tex]\rm{1200 = 600(1 + 0.1 \times x)} \\ \\ \rm{600(1 + 0.1 \times x) = 1200} \\ \\ \rm{1 + 0.1 \times x = \frac{1200}{600} } \\ \\ \rm{ 1 + 0.1 \times x = \cancel \frac{1200}{600} } \\ \\ \rm{1 + 0.1 \times x = 2} \\ \\ \rm{0.1 \times x = 2 - 1} \\ \\ \rm{x = 1 \times \frac{10}{1} } \\ \\ \rm{x =10 } [/tex]

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Answer:

1567.752

Step-by-step explanation:

1000g = 1 kg. Before you can add them together, you have to multiply the vegetables and corn oil by 0.001 so that they are now in the unit of Kilograms. Then just add all of them together

Answer:

1567.752

Step-by-step explanation:

Answer:

This is how i arrived at an answer 25

Answer:

150 feet

Step-by-step explanation:

a²+b²=c²

90²+120²=c²

8100+14400=22500

√22500 = 150

c = 150 feet