What is the correct value of x in the triangle

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that [tex]r = 0.05[/tex], and thus:

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = A(0)(1+0.05)^t[/tex]

[tex]A(t) = A(0)(1.05)^t[/tex]

Time for the balance to triple?

This is t for which [tex]A(t) = 3A(0)[/tex]. So

[tex]A(t) = A(0)(1.05)^t[/tex]

[tex]3A(0) = A(0)(1.05)^t[/tex]

[tex](1.05)^t = 3[/tex]

[tex]\log{(1.05)^t} = \log{3}[/tex]

[tex]t\log{1.05} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{\log{1.05}}[/tex]

[tex]t =  22.52[/tex]

It takes 22.52 years for the balance to triple in value.

Answer:

160.

Step-by-step explanation:

The area of the base is 64 since each side is 8, 8x8 is equal to 64. Then you have the lateral faces with a length of 8, and a height of 6, which is 48, but since they are triangles, you divide by 2, finally add 24+24+24+24+64 and your final answer is 160.

Answer: C

Brainliest Me

Answer:

Step-by-step explanation:

Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get

[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:

[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:

x + 4 = ±3

The 2 solutions are

x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.

You need to convert 5 oz into grams.

1 oz = 28.3495 g

5 oz * 28.3495 g/oz = 141.75 g

Answer: 141.75 g

Answer:

73 packs

Step-by-step explanation:

Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.

290/4

= 72.5

Since we need a whole number answer, round this up:

72.5

= 73

So, Libby will need to buy 73 packs

Answer:

104, 52 degrees

Step-by-step explanation:

A whole circle is 360 degrees.

So ark YX = 360-110-146=104

Z=1/2*YX=52

Answer:

9 games.

Step-by-step explanation:

You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.

Answer:

160 raisins

Step-by-step explanation:

First, the ratio of peanuts to raisins will be 5:4.

Next, to fine the number to multiply the 4 by, you will divide 200 by 5.

You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.

So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.

So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160

Answer:

If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this

6 children 6 apples

10 children 10 apples

15 children 15 apples

Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

4/5=opposite/hypotenuse

therefore opposite=4 and hypotenuse=5

for adjacent

using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =[tex]\sqrt{9[/tex]

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5

Answer:

answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.

Answer:

Triangle RSP is similar to triangle ZXY

Step-by-step explanation:

to be similar triangles the order of the angles must match.

Angle R is 41° so is angle Z

angle S is 54° so is angle X

angle P is 85° so is angle Y

Solution :

Sales Revenue

Sales                                                                                   $ 2,400,000

Less:

Sales discount                                $ 8,500

Sales returns and allowances       $ 41,000

                                                                                             $ 48,500

Net Sales                                                                              $ 2,350,500

Cost of goods sold                                                               $ 1,085,000

Gross profit                                                                            $ 1,265,500

Operating expense :

Salaries expenses                         $ 675,000

Advertising expenses                    $ 55,000

Depreciation expense                  $ 125,000

Freight expense                             $ 25000

Insurance expense                        $ 15,000

Total operating expenses                                                 $ 895,000

Operating income                                                              $ 370,500

Non operating income

Interest revenue                            $ 30,000

Rent revenue                                  $ 24,000

                                                                                           $ 54,000

Non Operating expenses  :

Interest expense                                                                 $ 70,000

Income before income tax                                                 $ 354,500

Income tax expense                                                            $ 70,000

Net income                                                                            $ 284,500

Answer:

7/10

Step-by-step explanation:

Out of the ten spins seven landed on blue.

I hope this helps :)

Answer:

The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].

Step-by-step explanation:

In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times

Step-by-step explanation: hope this helps

Answer:

87 times

50% of the time

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6 numbers

1, 3, 5 are odd

3/6 in one roll

3/6 × 174 = 87

Answer:

The correct option is D) $1,248.00

Step-by-step explanation:

First calculate $24 at 36 hours

24 * 36 = $864

then

calculate $48 at 8 hours because of double time

48 * 8 = $384

then

add them both up

864 + 384 = $1248

Answer:

The surface area is 88ft.

Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)

Answer:

x = 7 is a solution

x = -2 is an extraneous solution

^ CORRECT ANSWER

Step-by-step explanation:

The rational equation is solved and the solutions are 7 and the extraneous solution is x = -2

A rational equation can be defined as an equation that involves at least one rational expression

A rational function is a function of the form f( x )=P( x ) / Q( x ) ,

f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.

A rational function f ( x )=P( x ) / Q( x )

f( x ) = P( x ) / Q( x ) may have a vertical asymptote

The domain is the set of all real numbers for which Q( x ) ≠ 0

Given data ,

Let the rational equation be represented as A

Now , the value of A is

( 3 / ( x²+5x+6 ) ) + ( ( x-1) / (x+2) ) = 7 / (x+3)   be equation (1)

On simplifying , we get

A rational function is a function of the form f( x )=P( x ) / Q( x ) ,

f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.

So , multiplying both sides by ( x²+5x+6 ) , we get

3 + x² + 2x - 3 = 7x + 14   be equation (2)

On further simplification , we get

x² - 5x - 14 = 0

On factorizing the equation , we get

x² - 7x + 2x - 14 = 0

Taking the common factors , we get

x ( x - 7 ) + 2 ( x - 7 ) = 0

( x + 2 ) ( x - 7 ) = 0

So , the two solutions of x are x = 7 and x = -2

Hence , the solutions of rational equation are x = 7 and x = -2

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Answer:

The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.

Step-by-step explanation:

follow me

Answer:

D. The point where the three angle bisectors of the triangle intersect

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

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

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

Answer:

60 cups

Step-by-step explanation:

We can use ratios to solve

20 cups            x cups

---------------  = -------------------

4 loaves             12 loaves

20 * 12 = 4 *x

240 = 4x

Divide by 4

240/4 = 4x/4

60 =x

60 cups

The required triangle is possible, the value of the tangent of ∠I is 1.33.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.

In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.

Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:

HI² = HJ² + IJ²

5² = 4² + 3²

25 = 16 + 9

tan(∠I) = opposite/adjacent = HJ/ JI = 4/3

Rounding to the nearest hundredth, we get:

tan(∠I) ≈ 1.33

Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.

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Answer: The letter C

Option C is correct, 63 is the composite number.

A number system is defined as a system of writing to express numbers.

Composite numbers are numbers that have more than two factors.

0 is not a composite number.

19 is a prime number because it is divided by itself so it is not a composite number.

63 is a composite number because it has more than two factors.

The factors of 63 are 1, 7 , 9

1 is not a prime number as it does not have factors.

Hence, Option C is correct, 63 is the composite number.

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