Find the length of side BC.
Give your answer to 1 decimal place.
C
14 cm
58°
Α'
B

Answers

Answer 1

Answer:

length of side BC = 11.9cm

The complete question found on brainly (ID: 14303570 ) is stated below:

Find the length of side BC.

Give your answer to 1 decimal place.

∠A = 58°

AC = 14cm

Find attached the diagram of the triangle.

Step-by-step explanation:

From the diagram

∠A = 58°

∠B = 90°

AC = 14cm

The triangle is a right angled triangle

To get the length side of BC, we would

apply trigonometry SOHCAHTOA.

In this question the sine ratio would be appropriate since we know the hypotenuse but we are looking for the opposite side (BC).

Sine ratio: Sin58° = opposite/hypotenuse

Sin58° = BC/AC

Sin58° = BC/14

BC = 14sin58°

BC = 14 × 0.8480

BC = 11.9cm

length of side BC = 11.9cm (1 decimal place)

Find The Length Of Side BC.Give Your Answer To 1 Decimal Place.C14 Cm58'B

Related Questions

The cost c in $ of producing x items is in the equation c=x/7+1 which of the following choices will find the cost c if x is 35

Answers

Answer:

care of it and I will get back to you with a new one for me and support you in whatever way

Step-by-step explanation:

try to get the morning and then we can go from there to the meeting tonight but I can tomorrow

The value of the cost when x is 35 given the equation c=x/7+1 is $6.

How to calculate the cost?

From the information given, the cost c in $ of producing x items is in the equation c=x/7+1.

Therefore, the value of the cost when x is 35 will be;

c = x/7 + 1

c = 35/7 + 1

c = 5 + 1

c = 6

Therefore, the cost is $6.

Learn more about cost on:

https://brainly.com/question/25109150

#SPJ2

Which equation should be used to find the volume of the figure?

V=1/3(10)(6)(12)
V=1/2(10)(6)(12)
V=1/3(10)(6)(13)
V=1/2(10)(6)(13)

Answers

Answer:

The answer is option 1.

Step-by-step explanation:

Given that the volume of pyramid formula is:

[tex]v = \frac{1}{3} \times base \: area \times height[/tex]

The base area for this pyramid:

[tex]base \: area = area \: of \: rectangle[/tex]

[tex]base \: area = 10 \times 6[/tex]

Then you have to substitute the following values into the formula:

[tex]let \: base \: area = 10 \times 6 \\ let \: height = 12[/tex]

[tex]v = \frac{1}{3} \times 10 \times 6 \times 12[/tex]

Answer:

A. V = 1/3 (10)(6)(12)

Step-by-step explanation:

Just took the test and got it right

The steps to prove the Law of Sines with reference to ∆ABC are given. Arrange the steps in the correct order.

Answers

1). Draw a perpendicular from point A to side BC. Let AD = h

2). sin A = h/c and sin C = h/a

3). h = c Sin A, h = a sin C

4). c Sin A =a sin C

5). Divide both side by Sin A * Sin C

6). c Sin A/(Sin A * Sin C) =a sin C/(Sin A * Sin C)

7). c/sin C = a/Sin A

8). Similarly prove that,  c/sin C = b/Sin B

9).  c/sin C =  b/Sin B = a/Sin A

correct on plato

The left and right page numbers of an open book are two consecutive integers whose sum is 389.  Find these page numbers

Answers

Step-by-step explanation:

Maybe the page numbers can be 143 and 246

143 + 246 = 389

Answer:

194 and 195

Step-by-step explanation:

x = 1st page

x + 1 = 2nd page

x + x + 1 = 389

2x + 1 = 389

2x = 388

x = 194

x + 1 = 195

What is the solution of log (2 t + 4) = log (14 minus 3 t)? –18

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Logarithms,

so we get as,

t = 2

Sequence of numbers 1.5,2.25,3.0,3.75 in a recursive formula?

Answers

Answer:

f(n + 1) = f(n) + 0.75

Step-by-step explanation:

Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2, 18).

Answers

By "slope" I assume you mean slope of the tangent line to the parabola.

For any given value of x, the slope of the tangent to the parabola is equal to the derivative of y :

[tex]y=ax^2+bx+c\implies y'=2ax+b[/tex]

The slope at x = 1 is 5:

[tex]2a+b=5[/tex]

The slope at x = -1 is -11:

[tex]-2a+b=-11[/tex]

We can already solve for a and b :

[tex]\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3[/tex]

[tex]2a-3=5\implies 2a=8\implies a=4[/tex]

Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when x = 2:

[tex]4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8[/tex]

So the parabola has equation

[tex]\boxed{y=4x^2-3x+8}[/tex]

Using function concepts, it is found that the parabola is: [tex]y = 4x^2 - 3x + 14[/tex]

----------------------------

The parabola is given by:

[tex]y = ax^2 + bx + c[/tex]

----------------------------

Slope 5 at x = 1 means that [tex]y^{\prime}(1) = 5[/tex], thus:

[tex]y^{\prime}(x) = 2ax + b[/tex]

[tex]y^{\prime}(1) = 2a + b[/tex]

[tex]2a + b = 5[/tex]

----------------------------

Slope -11 at x = -1 means that [tex]y^{\prime}(-1) = -11[/tex], thus:

[tex]-2a + b = -11[/tex]

Adding the two equations:

[tex]2a - 2a + b + b = 5 - 11[/tex]

[tex]2b = -6[/tex]

[tex]b = -\frac{6}{2}[/tex]

[tex]b = -3[/tex]

And

[tex]2a - 3 = 5[/tex]

[tex]2a = 8[/tex]

[tex]a = \frac{8}{2}[/tex]

[tex]a = 4[/tex]

Thus, the parabola is:

[tex]y = 4x^2 - 3x + c[/tex]

----------------------------

It passes through the point (2, 18), which meas that when [tex]x = 2, y = 18[/tex], and we use it to find c.

[tex]y = 4x^2 - 3x + c[/tex]

[tex]18 = 4(2)^2 - 3(4) + c[/tex]

[tex]c + 4 = 18[/tex]

[tex]c = 14[/tex]

Thus:

[tex]y = 4x^2 - 3x + 14[/tex]

A similar problem is given at https://brainly.com/question/22426360

It was reported that in a survey of 4764 American youngsters aged 6 to 19, 12% were seriously overweight (a body mass index of at least 30; this index is a measure of weight relative to height). Calculate a confidence interval using a 99% confidence level for the proportion of all American youngsters who are seriously overweight. (Round your answers to three decimal places.)

Answers

Answer:

Step-by-step explanation:

confidence level for the proportion of all American youngsters who are seriously overweight is (0.137, 0.163)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue

Read

Choose the equation of the horizontal line that passes through the point (−5, 9). y = −5 y = 9 x = −5 x = 9

Answers

Answer:

y = 9

Step-by-step explanation:

Since we are trying to find a horizontal line, our line would have to be y = [a number]. That takes our x = -5 and x = 9 out as answer choices. We are left with y = -5 and y = 9. y = 9 is correct because the horizontal line is the y-values, and since in (-5, 9), our y-value is 9, our line is y = 9.

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a variance of 145,161 145,161 . If he is correct, what is the probability that the mean of a sample of 41 41 cars would differ from the population mean by less than 126 126 miles

Answers

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

[tex]\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5[/tex]

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3765 - 3639}{59.5}[/tex]

[tex]Z = 2.12[/tex]

[tex]Z = 2.12[/tex] has a pvalue of 0.983

X = 3513

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3513 - 3639}{59.5}[/tex]

[tex]Z = -2.12[/tex]

[tex]Z = -2.12[/tex] has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Find the value of x to the nearest tenth

Answers

Answer:

X = 5.3

Step-by-step explanation:

To do: Find the value of X

Concept : Angle bisector formula

Now,

[tex] \frac{a}{b} = \frac{c}{d} [/tex]

[tex] \frac{6}{9} = \frac{x}{8} [/tex]

[tex]x \times 9 = 6 \times 8[/tex]

( cross multiplication)

[tex]9x = 48[/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{48}{9} [/tex]

Calculate

[tex]x = 5.3[/tex]

Hope this helps..

Good luck on your assignment...

a bridge in the shape of a parabolic arch is modelled by this function (see pic).

Answers

Answer:

(C) 25,35 and 175,35

In 2 years, my sister will be twice as old as she was 2 years ago, and in 3 years my brother will be three times older than he was 3 years ago. Which sibling is older?

Answers

Answer:

Sister

Step-by-step explanation:

Let the sister’s age be x.

Let the brother’s age be y.

2 + x = 2x - 2

3 + y = 3y - 3

Solve the first equation.

x - 2x = - 2 - 2

-x = -4

x = 4

Solve the second equation.

y - 3y = -3 - 3

-2y = -6

y = 3

The sister is 4 years old.

The brother is 3 years old.

The sister is older than the brother.

3. Your friend is solving a system of linear equations and finds the following solution:
0=5
What is the solution of the system? Explain your reasoning.

Answers

Answer:

No solution.

Step-by-step explanation:

Because the equations are combined but the final answers are not equal, the equations have no solution. This is because "no matter what value is plugged in for the variable, you will ALWAYS get a contradiction".

Hope this helps!

A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 100 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 10 to year 20.

Answers

Answer:

The farmer should expect to LOSE 10 pounds of soybeans per acre per year

Step-by-step explanation:

f(x)=-x^2 + 20x + 100

just find how many soybeans his land will yield (per acre) after 10 and 20 years:

After 10: 200 pounds of soybeans/acre

After 20: 100 pounds of soybeans/acre

Because 10 years have passed and they lost 100 pounds of soybean production per acre, the farmer should expect to lose 10 pounds of soybeans per acre per year (-10 pounds of soybeans per acre/year)

Gelb Company currently manufactures 54,000 units per year of a key component for its manufacturing process. Variable costs are $5.15 per unit, fixed costs related to making this component are $73,000 per year, and allocated fixed costs are $80,500 per year. The allocated fixed costs are unavoidable whether the company makes or buys this component. The company is considering buying this component from a supplier for $3.90 per unit.
Calculate the total incremental cost of making 54,000 units.

Answers

Answer:

$351,100

Step-by-step explanation:

The total incremental cost of making 54,000 units = Variable Cost Per Unit (54,000 unit) + Fixed Manufacturing Costs

Fixed Manufacturing Costs = $73,000

Variable costs are $5.15 per unit

Variable Cost Per Unit =  $5.15 * 54,000 unit = $278,100

Hence, the total incremental cost of making 54,000 units  = $278,100 + $73,000 = $351,100

plz answer question in screen shot

Answers

Answer:

first one 5/[tex]\sqrt{39}[/tex]

Step-by-step explanation:

We must calculate cosθ first :

cos²θ+sin²θ =1⇒ cos²θ= 1-sin²θ=1-(25/8)= 39/64⇒cosθ= √39/8

tanθ = sinθ/cosθtanθ= (5/8)/(√39/8)=5/8*8/√39 = 5/√39

How to find the scale factor, ratio of area, & ratio of volume?

Answers

Step-by-step explanation:

If the scale factor of two similar solids is a: b:. then

(1) the ratio of corresponding perimeters is a:b

(2) the ratio of the base areas, of the lateral areas, and of the total areas is [tex]a^2: b^2[/tex]

(3) the ratio of the volumes is [tex]a^3:b^3[/tex]

Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an object where the acceleration of gravity (g) is 9.8 m/s2. Use the function to calculate the force for an object with a mass (m) of 0.29 kilograms. 9.51 Newtons 2.8 Newtons 34 Newtons 0.029 Newtons

Answers

Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Answer:Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Step-by-step explanation:

8716 no es divisible por 4

Answers

Answer:

False

Step-by-step explanation:

No esta verdad.

8716/4 = 2179 (divisible por 4)

Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

x = 64.1 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hypotenuse

cos x = 7/16

Take the inverse cos of each side

cos ^-1 cos x = cos ^-1 ( 7/16)

x = cos ^-1 ( 7/16)

x =64.05552023

To the nearest tenth

x = 64.1 degrees

A sample of 120 creative artists is used to test whether creative artists are equally likely to have been born under any of the twelve astrological signs. Assuming that the twelve astrological signs each contain an equal number of calendar days, the expected frequency for each category equalsa) 5
b) 10
c) 12
d) 120

Answers

Answer:

b) 10

Step-by-step explanation:

In this case the frequency would be equal to the quotient between the sample that creative artists tell us (that is to say 120 people) and the amount of sastrological signs that there are (that is to say 12 signs), therefore it would be:

F = 120/12 = 10

Which means that the expected frequency for each category equal to 10.

So the answer is b) 10

You weigh six packages and find the weights to be 19, 15, 35, 17, 33, and 31 ounces. If you include a package that weighs 39 ounces, which will increase more, the median or the mean?

Answers

Answer:

Step-by-step explanation:

Mean & median of 6 packages:

15, 17, 19, 31, 33 , 35

Median =  [tex]\frac{19+31}{2}[/tex]

            = [tex]\frac{50}{2}[/tex]

           = 25

[tex]Mean = \frac{15+17+19+31+33+35}{6}\\\\=\frac{150}{6}\\=25[/tex]

Mean & median of 7 packages:

15,17,19,31,33,35,39

Median = 31

[tex]Mean=\frac{19+15+35+17+33+31+39}{7}\\\\=\frac{189}{7}\\\\=27[/tex]

After including 39 ounce package, Median will increase more

pls help me hepl me ​

Answers

Answer:

b at most 199

Step-by-step explanation:so the total was 121 and there is a flat fee of 21.50 so you subtract that out and gat 99.5 since its .5 per mile its going to be divided giving 199 and that is the most she could have driven.

Here is the feasible region.
28
А
52 + 8y 120
B
y 5
What are the coordinates of vertex A?
Enter your answer in the boxes

Answers

Answer:

  A(8, 10)

Step-by-step explanation:

Vertex A is on the vertical line x=8, so we can find the y-coordinate by solving the boundary equation ...

  5x +8y = 120

  5(8) +8y = 120 . . . use the x-value of the vertical line

  5 + y = 15 . . . . . . . divide by 8

  y = 10 . . . . . . . . . . subtract 5

Point A is (8, 10).

You want to study how the number of popped kernels in a microwave popcorn bag is affected by brand, microwave power, and time in microwave. You manipulate three different factors: brand, power, and time. There are three brands, two power settings, and three different microwave times. a. How many unique treatment combinations are there

Answers

Answer:

Number of unique treatment combinations  = 8

Step-by-step explanation:

Given:

Number of brands = 3

Number of power settings = 2

Number of microwave times = 3

Find:

Number of unique treatment combinations.

Computation:

Number of unique treatment combinations = Number of brands + Number of power settings + Number of microwave times

Number of unique treatment combinations = 3 + 2 + 3

Number of unique treatment combinations = 8

Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the smaller ferry. How long does it take the larger ferry to transport a day's cargo working alone?

Answers

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

pls help me pls pls​

Answers

Answer:

B

Step-by-step explanation:

the slope of parallel lines are equal

calcula la fracción generatriz de 0,245 y da como respuesta su numerador

Answers

Answer: 49/200, numerador= 49

Step-by-step explanation:

Not sure how I would solve this

Answers

Answer:

7/6

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Using the given points

m = (-2 - -9)/(2 -8)

   = (-2+9) / (-6)

    = 7/6

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