What is in the shape of a triangular pyramid and has a height of 10 inches the area of the base of the container is 12 in.² what is the volume of the figure actually inches

Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.

This means angle r = 180-145 = 35 degrees.

36x -1 = 35

Add 1 to both sides:

36x = 36

Divide both sides by 36

X = 1

Answer:

Work attached below :D

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.

Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

9514 1404 393

Answer:

  140°

Step-by-step explanation:

Angles 1 and 3 are "corresponding" angles, so are congruent.

  ∠1 = ∠3

  20x +60 = 30x +20

  40 = 10x . . . . . . . . . . . . subtract 20x+20

  4 = x . . . . . . . . . . . . . . divide by 10

  ∠1 = 20x +60 = 20(4) +60 = 80 +60

  ∠1 = 140°

Answer:

140°

Step-by-step explanation:

Angle 1 and angle 3 are corresponding angles ;

Corresponding angles are equal ;

Hence,

Angle 1 = Angle 3

20x + 60 = 30x + 20

Collect like terms

20x - 30x = 20 - 60

-10x = - 40

x = 4

Angle 1 is thus :

20x + 60 ; x = 4

20(4) + 60

80 + 60

= 140°

Answers:

x = 51

y = 39

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Explanation:

The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.

One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.

Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y

x+y = 90

51+y = 90

y = 90-51

y = 39

Answer:

5470

Step-by-step explanation:

[tex]5000(1+\frac{.03}{12})^{12*3}=5470.257[/tex]

The future value of the investment in the savings account with montly compounding is $5470.

When an investment is compouded monthly, it means that it increases in value every month.

The formula for calculating future value:

FV = P (1 + r)^nm

5000 x ( 1.0025)^36 = $5470

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

90% confidence interval is ( -149.114, -62.666   )

Step-by-step explanation:

Given the data in the question;

Sample 1                                Sample 2

x"₁ = 259.23                            x"₂ = 365.12

s₁  = 34.713                              s₂ = 48.297

n₁ = 5                                       n₂ = 10

With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }

significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1

Since we are to assume that variance are equal and they are know, we will use pooled variance;

Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13

Now, pooled estimate of variance will be;

[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]

we substitute

[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]

[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [  4 + 9 ]

[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [  13 ]

[tex]S_p^2[/tex] = 25813.3692 / 13

[tex]S_p^2[/tex] = 1985.64378

Now the Standard Error will be;

[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]

[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]

[tex]S_{x1-x2[/tex] = √595.693134

[tex]S_{x1-x2[/tex] = 24.4068

Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771  { t-table }

So,

Margin of Error E =  [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

Margin of Error E = 1.771 × 24.4068

Margin of Error E = 43.224

Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89

So, Limits of 90% CI will be; x₁ - x₂ ± E

Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114

Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666

Therefore, 90% confidence interval is ( -149.114, -62.666   )

Answer:

The Subtotal cost of all the cakes before tax and delivery

Step-by-step explanation:

(21x+8.25y)

21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.

8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.

Answer:

The 4th graph represents a function

Step-by-step explanation:

trust bro

4th graph is a function

Option D is the correct answer

Answer:

482

Step-by-step explanation:

4 is the square of 2 and 2*4 = 8.

Answer:

21 cm²

21 square centimeters

Step-by-step explanation:

A = bh

A = 3 × 7

A = 21

Answer:

you swim 20inches and then you walk 50

Step-by-step explanation:

just because

Answer:

Y=3x+2

Step-by-step explanation:

first you have to put it in the formula y = mx + c

Y=3-x

in this format c = 0 so there's no intercept

Y=3x+c

The parallel line will have the same gradient but different intercept.

Now we substitute the coordinates(1,5) into the formula.

y = 5

x = 1

5=(3*1)+c

5=3+c

Now we make c the subject.

c=2

So the answer is:Y=3x+2

Answer:

We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218

Step-by-step explanation:

The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

Answer:

The more confident the manager can be that the parameter estimates reflect the true values.

Step-by-step explanation:

Standard error:

The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.

A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:

The more confident the manager can be that the parameter estimates reflect the true values.

Answer:

[tex]x = 8\tan(50)[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

To find x, we make use of the following trigonometry ratio;

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(50) = \frac{x}{8}[/tex]

Make x the subject

[tex]x = 8\tan(50)[/tex]

Answer:

the standard error of data set is 2.628

Step-by-step explanation:

Given the data in the question;

set;

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

To get the standard of Error for this data set, we use the formual

S.E = s / √n

First we determine the mean average;

Mean x' = ∑x / n =  ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

Mean x' = 24.2

Next we find the standard deviation s:

x             (x-x')²

9           231.04

13          125.44

21          10.24

30         33.64

31         46.24

31         46.24

34        96.04

25        0.64

28        14.44

20        17.64

Total ∑(x-x')² = 621.6

so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )  = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

Standard deviation S = √69.0667

Standard deviation S = 8.3106

So we substitute into our formula to get the standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Therefore, the standard error of data set is 2.628

Answer:

2.63

Step-by-step explanation:

Answer:  T=1700

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

yes

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

Answer:48.013

Step-by-step explanation: just found it

Answer:

There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]

Step-by-step explanation:

By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:

[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)

By direct comparison, we have the following system:

[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].

There are two possible solutions for [tex]b[/tex]:

1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]

2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]

Answer:

b=1/2

Step-by-step explanation:

2logb - 3logb = log8b - log4b

log[tex]b^{2}[/tex] - log[tex]b^{3}[/tex] = log8b - log4b

log([tex]\frac{1}{b}[/tex]) = log(2)

∴1/b = 2

∴b = 1/2

Answer:

B) 24

Step-by-step explanation:

Those are alternate interior angle which mean they are congruent or equal to each other

2x=48 divide

48÷2=24

Answer:

B) 24

step by step:

2x = 48 ( two straight lines are parallel forming and the internal stagger angle is equal)

Answer:

C 14n - 8

Step-by-step explanation:

rectangle area = length×width = 12n²-19n-21

width = 3n-7

what do we need to multiply with width to get the full area expression ?

think : what do we need to multiply with 3n to get 12n² (4n)?

and what to multiply with -7 to get -21 (3)?

=> length = 4n+3

perimeter is 2×length + 2×width

p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

[tex]5(x + 2)[/tex]

Step-by-step explanation:

Get 5 out

[tex]5x + 10 \\ 5(x + 2)[/tex]

Answer:

24

Step-by-step explanation:

betty age = 41 - 17

= 24

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

Answer:

whats the question?

Step-by-step explanation: