AB is tangent to circle at B. Find x.

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer:

[tex]\frac{5}{1}[/tex] or 5

Step-by-step explanation:

Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.

f(x) = 5x + 15

The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.

Answer:

A

Step-by-step explanation:

Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

a

Step-by-step explanation:

Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

Learn more about Surface area from:

https://brainly.com/question/2835293

#SPJ5

Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

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

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

Answer:

d = 162

a = 18

e = 144

g = 78

b = 18

s = 162

h = 84

e = 81

Step-by-step explanation:

Trust

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

Answer:

17.8

Step-by-step explanation:

We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.

Answer:

the money reducted = 1870 - 580

                                  = 1290

now the percentage = 1290/1870 x 100

                                  = 68.9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the money reducted = 1870 - 580

                                 = 1290

now the percentage = 1290/1870 x 100

                                 = 68.9%

Answer:

55.5

Step-by-step explanation:

The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the distribution be a normal distribution where

The mean of the data is μ = 98

The standard deviation is σ = 6

Now , the Z-score is determined by z = (x - μ)/σ

On simplifying , we get

when x = 92

P ( x < 92 ) is

z = ( 92 - 96 ) / 6

z = -1

So , the p value of P ( x < 92 ) is 0.1587

On rounding to the nearest value , we get

P ( x < 92 ) = 0.16

Hence , the z-score is solved

To learn more about z-score click :

https://brainly.com/question/25638875

#SPJ7

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

what number is it less than? i need that number to solve it

once you give it to me i will solve it

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

45+42=87

100-87=13

Answer:

44%

0.44 is 44% of 1.

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

Answer:

cxa=t cause you are mulltipling to find the total cost

Answer:

Step-by-step explanation:

A child´s ticket costs $4 and adults ticket costs $8. If we want one of each we need to add both numbers together, 4 plus 8 equals 12. The total cost of a child ticket and an adult ticket is $12.

The questions asked to write an equation; the equation would be:

C+A=T  it could also be written as A+C=T,  T=A+C or T=C+A.

Answer:

wha- I have no idea what your saying

Answer:

Step-by-step explanation:

Answer:1251231

Step-by-step explanation: