What is the value of B for the following triangular prism? 5.6 cm 2 52.5 cm 2 5.25 cm 2 56 cm 2

Answer:

Top to bottom, splits it in half

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The value of x is approximately 4.83 centimeters.

Answer: B (03)

The value of x, we need to add up all the side lengths of the figure and set it equal to the given perimeter of 33 cm.
The top and bottom sides have length \(2x-3\) cm each, and the left and right sides have length \(x+5 cm\) each.
So, we can write the equation:
\(2(2x-3) + 2(x+5) = 33 \)
Simplifying and solving for x:
\(4x - 6 + 2x + 10 = 33 \)
\(6x + 4 = 33 \)
\(6x = 29 \)
\(x = 29/6 \)
\(x ≈ 4.83 \)
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Answer:

Step-by-step explanation:

I'm not familiar with the conversions from American dollars. I can help you solve it though.

Count how many days from Nov 26 to Dec 26 and multiply that by 9p.

It's 30 days by 9p. Take that total and convert it.

Hopefully this helps you.

Answer: It might be -4/42 But Im not really sure I subtracted the 5 5/6 from 6/7 and got -4/42

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

1) 1 m = 1000 mm, then to calculate the required time in months

2) 1000/12≈83.3 [months];

3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].

Answer:

If you have 3 and a half tablespoons of sugar, you can estimate that there is a 21.875% void in between your jelly beans. 16 TBSP = 1 Cup, 1 Cup divided by 16 TBSP = .0625, 3.5 TBSP of sugar x .0625 = .21875, So we know our jar is 547.9637625 cubic inches.

Step-by-step explanation:

Okay, here we have this:

Considering the provided triangles

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

$2938.66

Step-by-step explanation:

2000x1.08(to the power of 5) = 2938.656154

rounded to 2s.f is $2938.66

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

32/60

Step-by-step explanation:

because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)

numerator: 8*4=32

denominator: 15*4=60

final equivalent fraction: 32/60

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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Answer:

57

Step-by-step explanation:

this is the boybfiend

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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Answer:

0.5054

Step-by-step explanation:

This is a question on conditional probability.

We solve using Baye's Theorem of conditional probability

From the question

The probability of having a particular disease = 0.08.

The probability of not having a particular disease = 1 - 0.08 = 0.92

The probability of testing positive for the disease is given that a person has the disease = 0.94

The probability of testing positive given that the person does not have the disease = 0.08

Given that a person tests positive for the disease, the probability that they actually have the disease is

= (0.08 × 0.94)/(0.08 × 0.94) + (0.08 × 0.92)

= 0.0752/0.0752 + 0.0736

=0.0752/ 0.1488

= 0.5053763441

≈ Approximately to 4 decimal places = 0.5054

Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

One of the equation which illustrates and meets the decimal conditions given is :

1.25 × 0.2 = 0.25

Let the first number  with two decimal places be x = 1.25

Let the second number with one decimal place be y = 0.2

Result = first Number × second number

Thus;

Result = 1.25 × 0.2

Result = 0.25

Evaluating the result of 0.25, it means that;

Number of digits = 3

Non - zero digits = 2

There are several values of x and y which will satisfy the 3 conditions given.

Therefore, the product of the values 1.25 and 0.2 gives the required output of the question.

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The expression [ (2.7) \(4]^{6}\) is not equivalent to [ (2.7) 8 ] ³.

An exponent refers to the number of times a number is multiplied by itself.

Example:

a², a³

2 and 3 are exponents.

We have,

[ (2.7) \(4]^{6}\)

Here 6 is the exponent.

We can write 6 as 2 x 3

Now,

= [ (2.7) \(4]^{2\times3}\)

We can take 2 inside [ (2.7) 4 ]

= [ (2.7)² 4² ] ³

= [ (2.7)² 16 ] ³

We can see that it is not equivalent to [ (2.7) 8 ] ³.

Thus the expression [ (2.7) \(4]^{6}\) is not equivalent to [ (2.7) 8 ] ³.

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Answer:

Formula for

the perimeter of square = 4side     eq 1

area of square = (side)²                eq2

Step-by-step explanation:

1 2m 10 cm  ( 210cm)

the perimeter of this square = 4 × side

                                                  4× 210cm = 840 cm (8m40cm)

the area of this square  = side ×side

                                     210 cm ×210 cm = 44100 cm square

                                                                 or 4.41 meter square

1 side 5 m

the perimeter of this square = 4 × side

                                                  4×5m=20m

the area of this square  = side ×side

                                          5m×5m=25meter square

(i) 4.2 cm​

the perimeter of this square = 4 × side = 4×4.2cm=16.8cm

the area of this square  = side ×side= 4.2 cm ×4.2cm = 17.64 cm square

(iv) 250 mm

the perimeter of this square = 4 × side = 4×250mm =1000mm

the area of this square  = side ×side=  250mm ×250mm =62500 mm sq.

Answer:

The equation of the circle with a diameter of 14 and whose center is (-4,6) is  \(x^{2}+y^2+8x-12y+3=0\)

Step-by-step explanation:

Given that diameter is 14. So, the radius is 14/2 which is equal to 7.

Also, the center is (-4,6).

We know that the equation of a circle with center (h,k) and radius r units is

\((x - h)^2+(y-k)^2=r^2 .\)

Here, h=-4, k=6 and r=7.

Putting these values in the above equation,

\((x - (-4))^2+(y-6)^2=7^2 .\)

\((x +4)^2+(y-6)^2=49 .\)

On solving, the equation of the circle is

\(x^2+y^2+8x+-12y+3=0\).

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A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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