What is the measure of the missing angle in this triangle?

35°

60°

155°

25°

Answer:

Question 1 is false. The left side 28 does not equal on the right side 41, which means that the given statement is false.

Question 2 is false. The left side 0 does not equal to the right side 40, which means that the given statement is false.

Hope this helps :)

Answer:

Step-by-step explanation:

19.33 + 2.27 + 26.48 = Total journey

19.33 + 2.27 + 26.48 = 48.08 km

Therefore, the total journey is 48.08 km

Answer: SSS

Step-by-step explanation:
all the sides are given , those lines across the triangle means that they are equal in size , and the line in the middle of both the triangles are common to each other so they have the same size

Answer:

Step-by-step explanation:

17)-8(5-n)=-96

 -8*(5-n)-(-96)=0

 (0 -  8 • (5 - n)) -  -96  = 0

 8n + 56  =   8 • (n + 7)

 8 • (n + 7)  = 0

Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    n+7 = 0  

Subtract  7  from both sides of the equation :  

                     n = -7

n = -7 is your answer

Answer:308

Step-by-step explanation:Multiply 4*7*11

Answer:

See below.

Step-by-step explanation:

I find autonomous robotics and fuzzy-related topics interesting. But it must include all the topics? I mean, Art as well? In the field of robotics, some interesting approaches involve building robots capable of moving in cluttered environments, places with humans efficiently. In this context the study of mapping algorithms and computer vision is interesting.

The amount of rain the city received in July is r = 2.5 inches

Given data ,

City received 3/4 inch of rain on July 31

Now , it represents 3/10 of the total amount of rain this to received in July

So , the equation is represented as A

Now , the value of A is

( 3/10 )r = 3/4

Multiply by 10 on both sides , we get

3r = 30/4

Divide by 3 on both sides , we get

r = 30/12

r = 2.5 inches

Hence , the city received 2.5 inches of rain

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In the Logarithm prompt above, note that the value of In x when In x = e to the power -x is x = 1/e.

The above assertion is right because the definition of the natural logarithm denoted as In x or ln x, is that it is the inverse function of the exponential function, denoted as e to the power x or ex.

This means that if we have an equation of the form In x = ex, then we can find the value of x by simply taking the inverse of both sides of the equation.

So, if we take the inverse of both sides of the equation In x = ex, we get x = In (ex) = In e to the power x = 1/e.

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Answer:

y=9x+60

Step-by-step explanation:

An equation in slope-intercept form to find the height (in feet) of the tree, y, after x years is y=9x+60.

Given that, the tree grows at an approximate rate of 9 inches per year.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

We know that, 1 feet =12 inches

So, 5 feet =60 inches

Let the height of the tree be y and the number of years be x.

Now, equations is y=9x+60

Therefore, an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years is y=9x+60.

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Answer:

$48

Step-by-step explanation:

The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:

                       $   48

Step-by-step explanation:

Brand A--

Number of bottles (x)       Price (dollars) y

2                                                   22

3                                                   33

4                                                   44

5                                                   55

The function that represents the relation between the price of the bottles and the number of bottles is:

              y=11x

Brand B--

Also, the price of the bottles depending on the number of bottles is:

                Y=17x  

According to Brand A the price of 8 bottles is:   y=11×8=$ 88

and according to Brand B the price of 8 bottles is: y=17×8= $ 136

Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:

      $ 136-$ 88

   = $ 48

The angle the 14 foot long wire must make with the gound is approximately 51 degrees.

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.

Using cosine law,

17² = 14² + 22² - 2 × 14 × 22 cos C

289 - 196 - 484 = -616 cos C

-391 = -616 cos C

divide both sides by -616

cos C = -391  / -616

cos C = 0.63474025974

C = cos⁻¹ 0.63474025974

C = 50.59929658

C = 51 degrees.

Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.

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Answer:

50.6

Step-by-step explanation:

yes

Answer:

is that a question?? or it's just an explanation cause I need to know whats this asking about it first before I answer it...

Step-by-step explanation:

cause all I see is just a summary

Answer:

64 square units

Step-by-step explanation:

All you have to do is multiply 8 by 8 to get 64.

The number of necklaces Channing can make from chain is A = 3 necklaces

Given data ,

Channing uses 16 1/4 inches of chain to make one necklace

To find out how many necklaces Channing can make from a chain that is 48 3/4 inches long, we need to divide the length of the chain by the length required for one necklace.

the mixed number 48 3/4 to an improper fraction:

48 3/4 = (48 * 4 + 3)/4 = (192 + 3)/4 = 195/4

Now, we can calculate the number of necklaces:

Number of necklaces = Length of chain / Length required for one necklace

= (195/4) / (16 1/4)

= (195/4) / (65/4)

On simplifying the fraction , we get

= (195/4) (4/65)

= (195 * 4) / (4 * 65)

= 780 / 260

A = 3

Hence , Channing can make 3 necklaces from a chain that is 48 3/4 inches long

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Answer:

4

Step-by-step explanation:

3x-5=7x-21

3x-7x=5-21

-4x=-16 ( divide by -4 both sides)

x= 4

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

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The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

\(s=R/4\)

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

\(s=max-min/4\)

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

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Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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For conversion of cubic feet to cubic meters, you can use the following conversion factor:

1 cubic meter = 35.3147 cubic feet

So, to convert cubic feet to cubic meters, you can multiply the number of cubic feet by the conversion factor of 0.0283168 (which is the reciprocal of 35.3147):

Cubic meters = Cubic feet x 0.0283168

For example, if you have a volume of 100 cubic feet, you can convert it to cubic meters as follows:

Cubic meters = 100 cubic feet x 0.0283168 = 2.83168 cubic meters

Therefore, 100 cubic feet is equivalent to 2.83168 cubic meters.

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Answer: 59 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees so we subtract that by the values we already know the get the last angle.
180-31-90= 59 degrees

The relationship would be the volume of a cylinder is 3 times the volume of a refraction cup .we can find by V=pi r^2 h.

What is the cylindrical shape?

A cylindrical shape is a three-dimensional geometrical shape consisting of two parallel circular bases which are connected by some height h.

To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

 If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

The formula for the volume of a cylinder is V=pi r^2 h.

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Answer:

2/5

Step-by-step explanation:

I assume you mean 7/5 - 1

In that case you would need to make 1 a fraction that has a common denominator with 7/5.

7/5 - 5/5 = 2/5

Answer:

i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, find 5/8 of 48

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

48

1

So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

5 x 48/8 x 1 = 240/8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

240/8 = 30

8/8 = 1

When we put that together, we can see that our complete answer is:

30/1

The complete and simplified answer to the question what is 5/8 of 48 is:

Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.

According to the given statement the probability of the surgery being successful on exactly two patients is 0.441 & 44.1%.

To find the probability of the surgery being successful on exactly two patients, we can use the binomial probability formula.
The formula for the probability of exactly k successes in n trials, when the probability of success in a single trial is p, is given by:
P(X = k) = nCk × \(p^{k}\) × \((1-p)^{n-k}\)
In this case,

n (number of trials) is 3 (since the surgery is performed on three patients),

p (probability of success) is 0.7 (given that the surgery has a 70% chance of success),

and

k (number of successes) is 2 (since we want exactly two successful surgeries).
Plugging the values into the formula, we have:
P(X = 2) = 3C2 × 0.7² × (1-0.7)³⁻²

Simplifying the calculation:

P(X = 2) = 3 × 0.7² × 0.3¹
Calculating the result:
P(X = 2) = 0.441
Therefore, the probability of the surgery being successful on exactly two patients is 0.441, or 44.1%.

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The probability of the surgery being successful on exactly two out of three patients is 0.441 or 44.1%.

The probability of the surgery being successful on exactly two patients can be found using the binomial probability formula.

The formula for the probability of exactly x successes in n trials, when the probability of success in each trial is p, is given by:

\(P(x) = (n_C_x) * p^x * (1-p)^{n-x}\)

In this case, the probability of success (the surgery being successful) is 0.7, as stated in the question.

Since the surgery is performed on three patients (n = 3), we want to find the probability of exactly two successful surgeries (x = 2).

Plugging these values into the formula, we get:

\(P(2) = (3_C_2) * 0.7^2 * (1-0.7)^{(3-2)}\)

Calculating the values, we find:

\(P(2) = 3 * 0.7^2 * 0.3^1\)

\(P(2) = 3 * 0.49 * 0.3\)

\(P(2) = 0.441\)

Therefore, the probability of the surgery being successful on exactly two patients is 0.441 or 44.1%.

In conclusion, the probability of the surgery being successful on exactly two out of three patients is 0.441 or 44.1%.

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The scalar multiplication operation · is defined as c(x; y; z) = (cx; cy; cz) for any scalar c and vector   \((x, y, z)\) in R3. we can conclude that \((R3, + ,)\) is a vector space.

To show that (R3, +, ·) is a vector space, we need to verify the following axioms:

The vector addition operation + is defined as   \((x1; y1; z1) + (x2; y2; z2) = (x1 − x2; y1 − y2; z1 − z2)\) for any vectors  \((x1, y1, z1) and (x2, y2, z2)\)  in R3.

Closure under addition: For any vectors u and v in R3, u + v is also in R3.

Associativity of addition: For any vectors u, v, and w in R3, \((u + v) + w = u + (v + w).\)

Commutativity of addition: For any vectors u and v in R3 \(, u + v = v + u.\)

Existence of zero vector: There exists a vector 0 in R3 such that for any vector v in R3,  \(v + 0 = v.\)

Existence of additive inverse: For any vector v in R3, there exists a vector -v in R3 such that \(v + (-v) = 0.\)

Closure under scalar multiplication: For any scalar c and vector v in R3, c·v is also in R3.

Distributivity of scalar multiplication over vector addition: For any scalar c and vectors \(u, v in R3, c·(u + v) = c·u + c·v.\)

Distributivity of scalar multiplication over scalar addition: For any scalars c and d, and vector v in R3, (c + d)·v = c·v + d·v.

Associativity of scalar multiplication: For any scalars c and d, and vector v in R3, c·(d·v) = (cd)·v.

Identity element of scalar multiplication: For any vector v in R3, 1·v = v.

These axioms can be verified easily using the given definitions of vector addition and scalar multiplication.

Therefore, we can conclude that  \((R3, + ,)\) is a vector space.

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Answer:

x = 6

Step-by-step explanation:

(In reference to my diagram.... my diagram is similar to the diagram in the question)

We know that diagonals of a square bisect each other at right angles.

In ΔBOC ,

•OB = OC (Diagonals of square bisect each other)

=> ∠OBC = ∠OCB = (7x + 3)°        (∵ OB = OC)

• ∠BOC = 90° (Diagonals intersect at right angles)

Using angle sum property of triangle ,

∠OBC + ∠OCB + ∠BOC = 90°

\( = > 7x + 3 + 7x + 3 + 90 = 180\)

\( = > 14x + 6 = 180 - 90 = 90\)

\( = > 14x = 90 - 6 = 84\)

\( = > x = \frac{84}{14} = 6\)

1. The amount borrowed is $3,000.

2. The ordinary interest is $80.

1. To find the amount borrowed, we can use the formula I = (P x i x t), where I is the interest, P is the principal (amount borrowed), i is the interest rate, and t is the time in years. Rearranging the formula, we have P = I / (i x t). Plugging in the given values, P = 270 / (0.09 x (2/12)) = $3,600.

2. To find the ordinary interest, we can again use the formula I = (P x i x t), where I is the interest, P is the principal, i is the interest rate, and t is the time in years. Since the time given is in days, we need to convert it to years. So, t = 60 / 365 = 0.1644 years. Plugging in the values, I = 4000 x 0.12 x 0.1644 = $79.07.

1. The amount borrowed, we can rearrange the formula TA = P + I to solve for P (the principal amount). Given that the interest (I) is $270, the interest rate (i) is 9%, and the time (t) is two months, we can substitute these values into the formula.

P = I / (i x t)

P = $270 / (0.09 x 2)

Calculating this expression gives us:

P = $1,500

Therefore, the amount borrowed is $1,500.

Using the formula TA = P + I, we can rearrange it to solve for P:

P = TA - I

In this case, the total amount (TA) is the amount borrowed plus the interest. We are given that the interest is $270, and we need to find the principal amount (P) when the interest rate (i) is 9% and the time (t) is two months.

Substituting the given values into the formula, we have:

P = $270 / (0.09 x 2)

Simplifying the expression, we get:

P = $270 / 0.18

Calculating this expression gives us:

P = $1,500

Therefore, the amount borrowed is $1,500.

2. To find the ordinary interest for a loan of $4,000, at 12%, for 60 days, we can use the formula I = (P x i x t). Given that the principal amount (P) is $4,000, the interest rate (i) is 12%, and the time (t) is 60 days, we can substitute these values into the formula.

I = (P x i x t)

I = ($4,000 x 0.12 x 60) / 365

Calculating this expression gives us:

I ≈ $78.08 (rounded to two decimal places)

Therefore, the ordinary interest for the loan is approximately $78.08.

Explanation and Calculation:

Using the formula I = (P x i x t), we can calculate the ordinary interest for the loan.

In this case, the principal amount (P) is $4,000, the interest rate (i) is 12%, and the time (t) is 60 days.

Substituting the given values into the formula, we have:

I = ($4,000 x 0.12 x 60) / 365

Simplifying the expression, we get:

I ≈ $78.08

Therefore, the ordinary interest for the loan is approximately $78.08.

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Answer:

The first image. 3mm, by 4mm

To find the area of a triangle, like you would with a rectangle you would multiply the base times the height:

6 * 4 = 24

Then you will mulyiply that by 1/2:

24 * 1/2 = 12

Now for the first image, you will multiply the base by the height, and see they are equal:

3 * 4 = 12

12 = 12

Step-by-step explanation:

Hope it helps! =D

Answer:

a: scale factor is 2

b: from left to right: 3, 5

c: from top to bottom: 53, 82 I think

Step-by-step explanation: