Which equation can be used to find the length of the missing side x?

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c[/tex]

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

[tex]B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19[/tex]

Answer:

(-2 -3)

Step-by-step explanation:

_____________________

Answer:

10.5

Step-by-step explanation:

65% of 70 is 45.5

So gold is 45.5 and silver is 54.5

so but45.5 + 54.5 = 100% but divide by 2

which is 50% but now we find 10% and 5%

10% = 7

5% = 3.5

now add 7 and 3.5 together

7+3.5 = 10.5

Answer:

C. All real numbers except 0

Step-by-step explanation:

It is the same as " numbers > 0"

Option (A) is correct.

"This equation will have all the terms but one be a logarithm and the one term that doesn’t have a logarithm will be a constant. In order to solve these kinds of equations we will need to remember the exponential form of the logarithm".

For the given situation,

The logarithmic equation, [tex]a = logb(c)[/tex]

⇒[tex]b^{c} = a[/tex]

Where a>0 , b>0 and b!=1

Thus a can represent, only numbers > 0.

Hence we can conclude that option (A) is correct.

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Answer:

Step-by-step explanation:

since they are in continued proportion the ratio will be

3/8=9/x

do cross multiplication

8*9=3*x

72=3x

72/3=x

24=x

therefore x =24

Answer:

ans is 24

Step-by-step explanation:

soln

the 3 8 9 and x are in proportion

so 3/8=9/x

3x=72

x=72/3

x=24

Answer:

The p-value of the test is of 0.2776 > 0.01, which means that the we accept the null hypothesis, that is, the manager's claim that this is only a sample fluctuation and production is not really out of control.

Step-by-step explanation:

A manufacturer considers his production process to be out of control when defects exceed 3%.

At the null hypothesis, we test if the production process is in control, that is, the defective proportion is of 3% or less. So

[tex]H_0: p \leq 0.03[/tex]

At the alternate hypothesis, we test if the production process is out of control, that is, the defective proportion exceeds 3%. So

[tex]H_1: p > 0.03[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.03 is tested at the null hypothesis

This means that [tex]\mu = 0.03, \sigma = \sqrt{0.03*0.97}[/tex]

In a random sample of 100 items, the defect rate is 4%.

This means that [tex]n = 100, X = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{100}}}[/tex]

[tex]z = 0.59[/tex]

P-value of the test

The p-value of the test is the probability of finding a sample proportion above 0.04, which is 1 subtracted by the p-value of z = 0.59.

Looking at the z-table, z = 0.59 has a p-value of 0.7224

1 - 0.7224 = 0.2776

The p-value of the test is of 0.2776 > 0.01, which means that the we accept the null hypothesis, that is, the manager's claim that this is only a sample fluctuation and production is not really out of control.

Answer:

1/3 area of base * height

Answer:

10.44cm lon

Step-by-step explanation:

Given data

Height of house= 10cm

Distance of ladder from wall= 3cm

We can apply the Pythagoras theorem to get the length of the ladder

Also, the length of the ladder is the hypothenuse

z^2= x^2+y^2

z^2= 10^2+ 3^2

z^2= 100+9

z^2= 109

square both sides

z= √109

z= 10.44cm

Hence the ladder is 10.44cm long

9514 1404 393

Answer:

Step-by-step explanation:

The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...

  e² = d²+f² -2df·cos(E)

  e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082

  e ≈ 9.608

The remaining angles can be found from the law of sines.

  sin(D)/d = sin(E)/e

  D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°

  F = 180° -95° -46.5° = 38.5°

Answer:

1/8 miles

Step-by-step explanation:

You have to subtract [tex]\frac{3}{4}- \frac{5}{8}[/tex]  for the answer.

First, you gotta make 3/4 have a common denominator.

To do this multiply 3/4 by 2/2 (2/2 equals one, so value isn't changed.)

and you get 6/8.

Then you can subtract 6/8 - 5/8 to get 1/8 miles.

And there's no need to simplify 1/8.

Answer:

Step-by-step explanation:

1*1*1/3*2*4=V

1/24=V

multiply all numerator and all denominator.

Answer:

There are 12 stools in the room

Answer:

yes it is.

x = 4 and y = -3

Step-by-step explanation:

Solve simultaneously using elimination method:

equation 1 - equation 2

3x + y = 9 equation 1

-2x + y = 5 equation 2

_________

x = 4

plug 4 into any of the 2 equations and solve for y.

3(4) + y = 9

12 + y = 9

12-12 + y = 9-12

y = -3

Answer:

Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.

Answer:

124 students

Step-by-step explanation:

Girls participating in the exercise

4/15 x 285 = 76

Boys participating in the exercise

3/20 x 320 = 48

Total students participating

76 + 48 = 124

Answer:

the answer to the question is A.Rs.648.67

Answer:

7 ?

Step-by-step explanation:

if im correct the total amount of toys was 15, dany broke one so thats 14. HALF of danys toys have speakers so

14 divided by 2 is 7

the answer is 7.

Answer:

7

Step-by-step explanation:

in total they were 15 toys , but 1 was thrown away. which means only 14 toys were left .

now half of the 14 toys have squeakers

so it can be calculated as :

14 ÷ 2 = 7

Answer:

a) 42

b) 42/120

Step-by-step explanation:

Oof, I was just about done with answering this question but I deleted it all by accident so I had to rewrite it.

Anyways, the first part of it is correct.

The second part of it is a bit harder. See, this is conditional probability, which uses the equation that I've attached below.

For Event A, you'll need the total boys / total students:

0.44166

For Event B, you'll need the total counters / total students:

0.83333

Now, plug these values into the equation. The weird U thingy is called "Union". It basically means "and".

P(A and B) / P(B)

P(0.44166 * 0.8333) / P(0.8333)

0.36803 / 0.8333

This is about 0.44165, or 53/120

Answer:

121.50

Step-by-step explanation:

Let x be the earnings

2x+10 = 253

Subtract 10 from each side

2x+10-10 = 253-10

2x = 243

Divide by 2

2x/2 = 243/2

x = 121.50

Answer:

4p +2

Step-by-step explanation:

(2p + 1)(2)

Distribute

2p * 2 + 1*2

4p +2

Answer:

4p+2

Step-by-step explanation:

See the steps below:)

Answer:

The statement is true for any value of x

Step-by-step explanation:

see the steps below:)

Answer:

No solution

Step-by-step explanation:

just trust me

Answer: hi your question is incomplete below is the complete question

Use the Divergence Theorem to calculate the surface integral S F dS   with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral

answer : surface integral = 384/5 π

Step-by-step explanation:

Representing  the vector field as

F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k

assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.

Hence the divergence will be represented as :

Attached below is the detailed solution

Answer: 121.5 ft^2

Step-by-step explanation:

Area= L x W

12.8 X 9.5

= 121.6

Answer:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Step-by-step explanation:

The function has the following format:

f(p)

That is, f is a function of p.

The derivative, f'(p), is the variation of f for the given value of p.

f'(70) = 1.5

p = 70, thus, ticket price of $70.

f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.

Thus the correct answer is:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Answer:

4

Step-by-step explanation:

go on the x-axis where you see 8

go up until you get to the line

go toward the y-axis to the left and read ( it said 4)

Answer:

13.5 pounds

Step-by-step explanation:

90% of 15 is 13.5 or if you need to round then 14 pounds of lettuce

Answer:

B

Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.

Answer:

$54

Step-by-step explanation:

first find 1/4 of $80 and then take that answer and find 10% of that to get your answer

Answer:

180⁰ 8. 20⁰ 3. rays and angle

Step-by-step explanation:

need ko po ang sagot