find the value of x and of the measure of the angle labeled 3x​

Answer:

a = 36√3

b = 36

Step-by-step explanation:

Reference angle = 30°

Opposite = b

Adjacent = a

Hypotenuse = 72

✔️To find a, apply CAH:

Cos 30° = Adj/Hyp

Cos 30° = a/72

a = Cos 30° × 72

a = √3/2 × 72 (cos 30° = √3/2)

a = √3 × 36

a = 36√3

✔️To find b, apply SOH:

Sin 30° = Opp/Hyp

Sin 30° = b/72

b = Sin 30° × 72

b = 1/2 × 72 (sin 30° = ½)

b = 36

Answer:

$11988

Step-by-step explanation:

Given that,

The unit cost is given by :

[tex]C(x)=0.7x^2-462x+88218[/tex]

We need to find the minimum unit cost.

For minimum cost,

Put [tex]\dfrac{dC}{dx}=0[/tex]

So,

[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]

Put x = 330 in equation (1).

[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]

So, the minimum unit cost is equal to $11988.

Answer:

is this quadratic equation

Answer:

B

Step-by-step explanation:

Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B

Answer:

The answer is B or 96!!

Step-by-step explanation:

Brainliest Please!

Answer:

Solution given:

total area of triangular prism=perimeter of base×height +2×area of traingle

={3+5+4)7+2(1/2×4×3}

=96in²

Answer:

We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.

Step-by-step explanation:

The confidence interval for population mean is given by:-

[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where n= sample size, [tex]\overline{x}[/tex] = sample mean, z* = critical value for confidence level, [tex]\sigma[/tex]= standard deviation.

z*  for 90% confidence level = 1.645

As per given, the required confidence interval is

[tex]1.87\pm (1.645)\dfrac{1.64}{\sqrt{1494}}\\\\\approx1.87\pm0.070\\\\=(1.87-0.07,\ 1.87+0.07)\\\\=(1.8, 1.94)[/tex]

Hence, We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.

Answer:

t = 1/2n-6, nER

Step-by-step explanation:

Answer:

$1,200 interest.

Step-by-step explanation:

To use the simple interest formula, I = Prt, we substitute in the values for variables that are given, ... Do you know that banks pay you to let them keep your money? ... Find the rate if a principal of $9,000 earned $1,755 interest in 3 years. ... Five years later, she paid him back the $8,000, plus $1,200 interest.

Answer:

9 i think

Step-by-step explanation:

i don really know

Answer:

The minimum sizes of the homes the contractor should build is of 1692.24 square feet.

The maximum sizes of the homes the contractor should build is of 1927.76 square feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2

This means that [tex]\mu = 1810, \sigma = 92[/tex]

Middle 80%:

Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.

Minimum size:

The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

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

[tex]-1.28 = \frac{X - 1810}{92}[/tex]

[tex]X - 1810 = -1.28*92[/tex]

[tex]X = 1692.24[/tex]

The minimum sizes of the homes the contractor should build is of 1692.24 square feet.

Maximum size:

The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 1810}{92}[/tex]

[tex]X - 1810 = 1.28*92[/tex]

[tex]X = 1927.76[/tex]

The maximum sizes of the homes the contractor should build is of 1927.76 square feet.

Answer:

The answer is half of 5 to the nearest 10th

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer:

44.04°

Step-by-step explanation:

We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]

Applying the formula, let's find b°:

Thus:

[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]

Cross multiply

[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]

Divide both sides by 5.1

[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]

[tex] sin(b) = 0.69516 [/tex]

[tex] b = sin^{-1}(0.69516) [/tex]

b = 44.0399685° ≈ 44.04° (2 decimal places)

Answer:

ans is (D)500/3 π unit^3

Explanation :

Formula for volume of sphere is 4/3 π r^3 .

The volume of the sphere below is 500π/3 units³, the correct option is D.

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

The radius = 5

Now,

The volume of a sphere is given by the formula V = ⁴⁄₃πr³, where r is the radius of the sphere1. To find the volume of a sphere whose radius is 5 units, you need to plug in r = 5 into the formula and simplify it using arithmetic operations.

V = ⁴⁄₃πr³

V = ⁴⁄₃π(5)³

V = ⁴⁄₃π(125)

V = (4)(125)π/3

V = 500π/3

Therefore, by the volume of sphere formula the answer will be V = 500π/3 units³.

Learn more about volume of a sphere here:

https://brainly.com/question/381274

#SPJ7

[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]

.

[tex] \frac{7}{x} = \frac{2}{ \sqrt{3} } \\ [/tex]

[tex]7 \times \sqrt{3} = 2 \times x[/tex]

[tex]7 \sqrt{3} = 2x[/tex]

[tex] \frac{7 \sqrt{3} }{2} = x \\ [/tex]

[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]

.

.

#LearnWithBrainly

Answer:

7 sodas and 11 popcorns

Step-by-step explanation:

7 times 2 is 14

11 times 3 is 33

14+33= 47

They bought 18 items

Answer:

56ft

Step-by-step explanation:

5+4+12+11+16+8=56

Given:

[tex]a_n=a_{n-1}+3[/tex]

[tex]a_0=2[/tex]

To find:

The values [tex]a_1,a_2,a_3[/tex].

Solution:

We have,

[tex]a_n=a_{n-1}+3[/tex]

For [tex]n=1[/tex],

[tex]a_1=a_{1-1}+3[/tex]

[tex]a_1=a_{0}+3[/tex]

[tex]a_1=2+3[/tex]

[tex]a_1=5[/tex]

For [tex]n=2[/tex],

[tex]a_2=a_{2-1}+3[/tex]

[tex]a_2=a_{1}+3[/tex]

[tex]a_2=5+3[/tex]

[tex]a_2=8[/tex]

For [tex]n=3[/tex],

[tex]a_3=a_{3-1}+3[/tex]

[tex]a_3=a_{2}+3[/tex]

[tex]a_3=8+3[/tex]

[tex]a_3=11[/tex]

Therefore, [tex]a_1=5,a_2=8,a_3=11[/tex].

The value of [tex]\rm a_1=5[/tex], [tex]\rm a_2=8[/tex], and [tex]\rm a_3=11[/tex] and this can be determined by using the arithmetic operations and the given data.

Given :

Let {an} be a sequence that satisfies the recurrence relation [tex]\rm a_n=a_{n-1}+3[/tex] for n = 1, 2, 3,... and suppose that [tex]\rm a_0=2[/tex].

According to the given data, the recurrence relation is given below:

[tex]\rm a_n=a_{n-1}+3[/tex]   --- (1)

Now, substitute the value of (n = 1) in the above expression.

[tex]\rm a_1=a_{1-1}+3[/tex]

[tex]\rm a_1=a_{0}+3[/tex]           (put [tex]\rm a_0=2[/tex])

[tex]\rm a_1=2+3[/tex]

[tex]\rm a_1=5[/tex]

Now, substitute the value of (n = 2) in the expression (1).

[tex]\rm a_2=a_{2-1}+3[/tex]

[tex]\rm a_2=a_{1}+3[/tex]           (put [tex]\rm a_1=5[/tex])

[tex]\rm a_2=5+3[/tex]

[tex]\rm a_2=8[/tex]

Now, substitute the value of (n = 3) in the expression (1).

[tex]\rm a_3=a_{3-1}+3[/tex]

[tex]\rm a_3=a_{2}+3[/tex]           (put [tex]\rm a_2=8[/tex])

[tex]\rm a_3=8+3[/tex]

[tex]\rm a_3=11[/tex]

For more information, refer to the link given below:

https://brainly.com/question/10168678

Answer:

30

Step-by-step explanation:

238,900/7,917=30.1755

Answer:

30

Step-by-step explanation:

You divide the distance to the Earth's diameter:

238,900/7,917=30

Answer:

sorry wanted pionts

Step-by-step explanation:

umm sorry

Answer: :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

brainly.in/question/10516214

13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

brainly.in/question/19749562

Answer:

C

Step-by-step explanation:

The line is negative therefore the slope will be negative.

The line goes down 1 and over 3 to get to the next even point.

-1/3 = slope

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Answer:

3 expodent 12

Step-by-step explanation:

Answer:

b. Rotational symmetry

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

A systematic sample

Step-by-step explanation:

since there is an increasing trend in the unpaid balances because of the rising cost of housing the best approach is A systematic sample.

A systematic sample is preferred because it will capture the individual debts over the period of 20 years (i.e. the whole 20 years of mortgages ) while a simple random sample will just capture a certain period and its result will not represent the true nature of indebtedness .

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours

                                 = [tex]\frac{1}{3}[/tex] hours

Distance covered = 9 km

But,

speed = [tex]\frac{distance covered}{time taken}[/tex]

Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = [tex]\frac{distance covered}{speed}[/tex]

                   = [tex]\frac{210}{60}[/tex]

                   = 3.5 hours

Aaron's journey was 3.5 hours long.

Answer:

.. .. .. .. .. .... . ..

Step-by-step explanation:

... .... .. .. ..

Answer:

its 17 I have the same one I got my quiz and I saw that we had different answers and the only same one we had was 17

Step-by-step explanation:

Answer:

It depends on the spinner and how many of each color spaces are on it.

Step-by-step explanation:

A favorable outcome means an outcome that matches your criteria.

Example: You spin a spinner with 10 spaces. 3 blue, 2 red, 3 green, 2 yellow.

If you spin the spinner once, there are 3 favorable outcomes (remember a favorable outcome means landing on blue in this case).

Spinning the spinner twice would lead to at least 100 outcomes, 9 of which are favorable.

Answer:

Julieta mastered 85% of the exit tickets on the first try.

Step-by-step explanation:

Julieta mastered 17 of 20 total exit tickets

17 ÷ 20 = 0.85

0.85 = 85%