-5 3/4 - 3 1/2 i jut want to see who can solve it for me

9514 1404 393

Answer:

  B.  6.7

Step-by-step explanation:

The triangles are similar, so corresponding sides have the same ratio.

  hypotenuse/short side = m/3 = (12+3)/m

  m² = 3(15) = 45

  m = √45

  m ≈ 6.7

Answer:

Step-by-step explanation:

hope it helps much

Answer:

c=13.6km, B=47.9⁰, A=22.8⁰,

Using the cosine rule, the missing parts of the triangle are:

c = 13.6 km; B = 47.9°; C = 22.8°

Cosine rule is given as, c² = a² + b² ﹣ 2ab(cosC)

Given the following:

Find c using the cosine rule:

c² = 5.6² + 10.7² ﹣ 2(5.6)(10.7)(cos 109.3)

c² = 185.5

c = √185.5

c = 13.6 km.

Use the cosine rule to find A:

5.6² = 10.7² + 13.6² ﹣ 2(10.7)(13.6)(cosA)

31.36 = 299.45 ﹣ 291.04(cosA)

31.36 - 299.45 = ﹣ 291.04(cosA)

-268.09 = ﹣ 291.04(cosA)

0.9211 = (cosA)

C = cos^(-1)(0.9211)

C = 22.8°

Find B:

B = 180 - 22.8 - 109.3

B = 47.9°

Therefore, using the cosine rule, the missing parts of the triangle are:

c = 13.6 km; B = 47.9°; C = 22.8°

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Answer:

9.43

Step-by-step explanation:

Given

See attachment for illustration

Required

Distance AE

The actual path taken by the taxicab are in bold lines.

To calculate the distance AE, we simply consider the triangle AOE where

[tex]AE^2 = OE^2 + AO^2[/tex]

[tex]AE^2 = 5^2 + (5+3)^2[/tex]

[tex]AE^2 = 5^2 + 8^2[/tex]

[tex]AE^2 = 25 + 64[/tex]

[tex]AE^2 = 89[/tex]

Take square roots

[tex]AE = \sqrt{89[/tex]

[tex]AE = 9.43[/tex]

Answer:

- $0.053

Step-by-step explanation:

Bet fee = $1

Probability of red = 18 / 38

Probability of black = 18/38

Probability of green = 2 / 38

x : ____1 _____ - 1 _____ - 1

P(x) : __ 18/38___ 18/38____ 2/38

Mean or expected value, E(X) = Σx*p(x) = (18/38) * * (-18/38) * (-2/38)

E(X) = - 0.052631

E(X) = - $0.053

Absolutely blue have more chance to get because blue have more number of marbal than the white one ok

Answer:

it would get 6 zeros

Step-by-step explanation:

hope it helps :)

Answer:

This question would be answered by doing devision because you are splitting  the amount of cookies that should be delivered amongst 13 girls.

1,000/13

76.92307692

That is what came out in my calculator. I don't know if you need it in decimal or in a solid integer but if you were to round 76.9 you would get 77, it is always good to check your work so,

77 times 13

1001

That equals 1001 so that would help at least reach their goal of 1,000 boxes of cookies.

Step-by-step explanation:

I really hope this helps!

Answer: $2.46

Step-by-step explanation:

First, let's find the unit price for both buckets!

A 1 gallon bucket of paint is $21.95. But how much will a 1 gallon bucket of paint cost if it had origianlly been 97.45 for 5 gallons of paint?

We need to divide 97.45 by 5, and the answer will be the unit price.

97.45 ÷ 5 = 19.49.

A 1 gallon bucket of paint that was originally priced as $97.45 for 5 gallons of paint si now $19.49 per bucket.

But we're not done! We still need to find the difference in unit prince between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95.

21.95 - 19.49 = 2.46.

Therefore, the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95 is $2.46.

Answer:

Step-by-step explanation:

surface area of cuboid=2(l*b+b*h+h*l)

=2(15*15+15*7+7*15)

=2(225+105+105)

=2*435

=870

Pythagoras theorem states that for a right angle triangle the measure of the  square of the hypotenuse side is equal to the sum of the square of the other two sides.The ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.

Given information-

The length of the ladder is 24 foot.

The height of the wall is 20 foot.

Suppose the ladder has to kept at x feet away from the bottom of the wall

Here a right angle is formed in which the ladder is hypotenuse side shown in the diagram attached below.

Pythagoras theorem states that for a right angle triangle the measure of the  square of the hypotenuse side is equal to the sum of the square of the other two sides.

As the ladder has to be kept at x feet away from the bottom of the wall. Thus,

[tex]24^2=20^2+x^2\\ 576=400+x^2[/tex]

Solve for the x,

[tex]x=\sqrt{576-400}\\ x=\sqrt{176}\\ x=13.266[/tex]

hence the ladder ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.

Learn more about the Pythagoras theorem here;

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Answer:

11

Step-by-step explanation:

Substitute 3 for b

23 - 4(3)

Multiply 4(3) = 12

23 - 12

Subtract

23 - 12 = 11

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]b = 3 \\ \\ 23 - 4b \\ 23 + 4 \times 3 \\ 23 - 12 \\ 11[/tex]

hope this helps you

Have a nice day!

Answer:

The volume is increasing at a rate of 25,133 mm/s.

Step-by-step explanation:

Diameter is 40mm

Radius is half the diameter, so [tex]r = \frac{40}{2} = 20[/tex]

How fast is the volume increasing when the diameter is 40mm?

We have to apply implicit differentiation, of V and r in function of t. So

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 5 mm/s.

This means that [tex]\frac{dr}{dt} = 5[/tex]

Then

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi (20)^2(5)[/tex]

[tex]\frac{dV}{dt} = 25133[/tex]

The volume is increasing at a rate of 25,133 mm/s.

Step-by-step explanation:

Let the number be n. Then: n = n^2 - 30 .

Rewriting this in standard quadratic format, we get:

n^2 - n - 30.

This factors into: (n - 6)(n + 5),

whose solutions are 6 and -5

Answer:

A. 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 37°

Opposite Leg = x

Hypotenuse = 25

Step 2: Solve for x

Answer:

A) $588.60

Step-by-step explanation:

130.8 × 4.5 = 588.6

Answer:

every number is an integer

9514 1404 393

Answer:

  5.5

Step-by-step explanation:

The rate of change is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (16.5 -11)/(3 -2) = 5.5/1

  m = 5.5

The rate of change of this function is 5.5.

Answer:

1, 2, 3, 4

Step-by-step explanation:

x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)

4X+8=3x+9

x=1

Answer:

5,6,7,8

Step-by-step explanation:

5+6+7+8=26

8*3=24

26-24=2

Answer:

Mia would have a 55$ interest  :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you set (x+5)(x-1) to equal zeros, you would get x+5=0 and x-1=0. then you would subtract 5 and 1 to get x=-5 and x=1

Step-by-step explanation:

The given expression is:

[tex]r=\dfrac{2p^2}{q-3}[/tex]

We need to solve it to make q the subject of the formula.

Cross multiplying both sides,

[tex]rq-3r=2p^2[/tex]

Adding 3r to both sides,

[tex]rq-3r+3r=2p^2+3r\\\\rq=2p^2+3r[/tex]

Now, dividing both sides by r,

[tex]q=\dfrac{2p^2+3r}{r}[/tex]

Hence, this is the required solution.

Answer:The value of log base 3 log base 2 log base √3 81 is -a)1 b) 2 c)3 d) 0

Answer:

4

Step-by-step explanation:

Define [tex]\log_a b=c\implies a^c=b[/tex].

Let

[tex]\log_3 81=x[/tex].

Using our definition [tex]\log_a b=c\implies a^c=b[/tex], we have:

[tex]3^x=81[/tex]

Solving for [tex]x[/tex]:

[tex]x=\boxed{4}\text{ from simply knowing that }3^4=81[/tex]

Or

Algebraically solve step-by-step by taking the log of both sides:

[tex]\log 3^x=\log 81[/tex]

Using log property [tex]\log a^b=b\log a[/tex], rewrite:

[tex]x\log 3=\log81[/tex]

Divide both sides by log(3):

[tex]x=\frac{\log 81}{\log 3}=\boxed{4}[/tex]

Answer:

[tex]tom = \frac{85}{100} \times 20 \\ = 17 \: questions[/tex]

Melissa had a greater mark.

Answer:

Melissa

Step-by-step explanation:

Melissa: 18/20

Tom: 85/100

You need a common denomenater so multiply 18 and 20 by 5:

90/100>85/100

Melissa has the greater mark by 5%

The g(x) is equal to (2/3)x.To find g(x) in the composite function h(x) = f(g(x)), we need to substitute f(x) = 2x - 1 into the equation and solve for g(x

Given that h(x) = (4/3)x - 1 and f(x) = 2x - 1, we can set up the composite unction:

h(x) = f(g(x))

Substituting f(x) into the equation:

(4/3)x - 1 = 2(g(x)) - 1

Simplifying the equation:

(4/3)x - 1 = 2g(x) - 1

We can now solve for g(x):

2g(x) = (4/3)x

Dividing both sides by 2:

g(x) = (2/3)x

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