if triangle gyk is similar to triangle bak . then the value of x is
10.
15.
20.
25.

Answer:

\(y=\frac{1}{2}\)

Step-by-step explanation:

\(4(y+1)= \frac{3}{1-y}\)

\(4y+4= \frac{3}{1-y}\)

\((4y+4)(1-y)= 3\)

\(4y(1-y)+4(1-y)=3\)

\(4y-4y^{2} +4-4y=3\)

\(-4y^{2}=3-4\)

\(4y^{2}=1\)

\(y^{2} = \frac{1}{4}\)

\(y=\sqrt{\frac{1}{4} }\)

\(y=\frac{1}{2}\)

Answer:

360 degrees

Step-by-step explanation:

Well, we can go about this two ways

Let's just use the sum of a flat line in terms of degrees to find it

So the equation is:

(180-71)+(180-124)+(180-76)+(180-89)

Simplify that and you get 360

The other way you can do it is that 71+124+76+89=360. Since this is a polygon, that means the sum of all its interior angles will be 360 and that means that all of the exterior angles, since their all practically just opposites of the interior angles, also add up to 360.

Tell me if you have any questions.

The total price of the hat including the tax is $ 16.9494 .

How to calculate percentage and how is it determined?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, cost price of hat (total value) = $ 15.99
Percentage tax imposed on the hat = 6%
Now, using the formula established in the literature above, we have:
Percentage = (Value/Total Value)×100
⇒ Value = (Percentage × Total Value)/100 = (6×15.99)/100 = $ 0.9594
Therefore, the total price of hat = Cost Price + Value = $ (15.99 + 0.9594) = $ 16.9494
Thus, the total price of the hat including the tax is $ 16.9494 .

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Answer:

The ratio is 1:4 or 1 computer for every 4 sixth graders.

Step-by-step explanation:

20 for 80 = 20:80

20:80 divided by 10:10 = 2:8

2:8 divided by 2:2 = 1:4

Answer:

Cosθ = -0.07

Step-by-step explanation:

Law of Cosines

c² = a² + b² - 2abCosC

The givens

a = 7, b = 8, c = 11, C = θ

Plug into the formula

11² = 7² + 8² - 2(7)(8)Cosθ

Square

121 = 49 + 64 - 112Cosθ

Combine terms

121 = 113 - 112Cosθ

Subtract 113 from both sides

8 = -112Cosθ

Divide both sides by -112

-0.07142857143 = Cosθ

Round to 2dp

Cosθ = -0.07

Answer:

30 ft

Step-by-step explanation:

This situation forms a right triangle

a ² +b ²= c ²

50 ² + 40 ²= c ²

2,500 + 1,600 = c ²

900  = c ²

√900 = √c²

30 = c

Answer:

2mx-x+2018

Step-by-step explanation:

multiply each term in the parentheses by x

the [OH⁻] in the solution is approximately 6.281 × \(10^{(-10)}\) M.

To determine the [OH⁻] in a solution with a pH of 4.798, we can use the relationship between pH, [H⁺], and [OH⁻].

pH + pOH = 14

Since we have the pH value, we can calculate the pOH as follows:

pOH = 14 - pH

pOH = 14 - 4.798

pOH = 9.202

Now, we can convert pOH to [OH⁻]:

[OH⁻] = 10^(-pOH)

[OH⁻] = 10^(-9.202)

Using a calculator, we find:

[OH⁻] ≈ 6.281 × 10^(-10) M

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(a) The point estimate for Bernie's sample is 0.58.

(b)The margin of error for Bernie's winning bets, given a 99% confidence level, is approximately 0.124.

(a) The point estimate for Bernie's sample is simply the proportion of wins in his sample.

Point estimate = Number of wins / Sample size

                        = 58 / 100

                        = 0.58

So, the point estimate for Bernie's sample is 0.58.

(b) To compute the margin of error for Bernie's winning bets,

we need to use the confidence level and the sample size.

Given that the confidence level is 99%,

we can determine the corresponding critical value from the standard normal distribution.

The critical value for a 99% confidence level can be found using a standard normal distribution table or technology.

It is ≈ 2.576.

The margin of error (ME) is then calculated as the product of the critical value and the standard error (SE).

Standard error (SE) = √((point estimate × (1 - point estimate)) / sample size)

⇒SE = √((0.58 × (1 - 0.58)) / 100) ≈ 0.048

Margin of error (ME) = Critical value × Standard error

⇒ ME ≈ 2.576 × 0.048 ≈ 0.124

The margin of error for Bernie's winning bets, given a 99% confidence level, is approximately 0.124.

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The value of PV based on the question requirements is given as R27 281,09.

There is a consistent increase in the withdrawals, with a growth rate of 6% per annum. The interest accrues at a yearly rate of 8%, and is compounded twice a year.

Having an interest rate that is calculated and added every three months. The accelerated growth of withdrawals surpasses the pace at which interest is accumulating, causing the eventual depletion of the savings account's value.

To calculate the value of the savings account, we need to use the future value of an annuity formula. The formula is:

\(FV = PV * [((1 + r)^n - (1 + g)^n) / (r - g)]\)

where:

FV is the future value of the annuity

PV is the present value of the annuity

r is the interest rate

n is the number of payments

g is the growth rate

In this case, the present value is the amount that needs to be deposited into the savings account, the interest rate is 8% p.a. compounded quarterly, the number of payments is 6 (24 / 4), and the growth rate is 6% p.a. compounded semi-annually.

Plugging these values into the formula, we get:

\(FV = PV * [((1 + r)^n - (1 + g)^n) / (r - g)]\\FV = PV * [((1 + 0.02)^6 - (1 + 0.03)^6) / (0.02 - 0.03)]\\FV = PV * 10.766\)

Solving for PV, we get:

PV = FV / 10.766

PV = 27 281,09

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Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

Answer:

A 5c+ 275 > 500

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of rounds:

\(\\ \sf\longmapsto \dfrac{2km}{400m}\)

\(\\ \sf\longmapsto \dfrac{2}{0.4}\)

\(\\ \sf\longmapsto 5rounds\)

Answer:

show us some sort of picture or describe the question better than maybe I can help you.

Step-by-step explanation:

Answer:

this is so hard what grade are you in

Answer:B

Step-by-step explanation:

B is the answer

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

Ingrid needs to deposit approximately $558.95 at the end of each quarter to have enough money to buy the $17,000 car in 6 years.

To calculate the amount Ingrid needs to deposit at the end of each quarter, we can use the future value of an annuity formula. The future value (FV) of an annuity is given by the formula:

FV = P * ((1 + r/n)(n*t) - 1) / (r/n)

Where:

P is the periodic deposit

r is the annual interest rate (as a decimal)

n is the number of compounding periods per year

t is the number of years

In this case, Ingrid wants to accumulate $17,000 in 6 years, with a quarterly compounding rate of 5.5% (0.055) and 4 compounding periods per year. Plugging these values into the formula:

17,000 = P * ((1 + 0.055/4)²⁴ - 1) / (0.055/4)

By solving this equation, we find that Ingrid needs to deposit approximately $558.95 at the end of each quarter to accumulate enough money to pay for her car.

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Answer:

Choice C

Step-by-step explanation:

The Equation of a circle is (x-h)^2+(y-k)^2=r^2, where h and k are the x and y coordinates respectively of the center of the circle, and r is the radius. Because the center here is (2, -5), we have (x-2)^2+(y- - 5)^2, and the two minuses become (y+5)^2. This eliminates A and B. The radius is 4, so r^2=16, and thus, we get C.

Answer:

\(8\frac{6}{7}\) as an improper fraction is \(\frac{62}{7\\}\)

\(8\frac{6}{7}\) in simplest form is \(8 \frac{6}{7\\}\)

Step-by-step explanation:

To find the improper fraction of 8 6/7 is:

Multiply the denominator of the fraction by the whole number, 8. This gives you 56. Now, add the 56 with the numerator of the fraction. This gives you 62 as a sum. So, the improper fraction is 62/7.

You cannot simplify 8 6/7 because it is in simplest form.

Answer:

$2.95

Step-by-step explanation:

8x+8y=83.60

8 is the amount of friends/amount of tickets/amount of small popcorn

x is the cost 1 ticket

y is the cost 1 small popcorn

We know that the price of a ticket is 7.50 so we replace "x" with 7.50

8(7.5)+8y=83.60

Simplify

60+8y=83.60

Now subtract 60 from both sides

8y=23.60

Now divided both sides by 8

y=2.95

the cost of 1 small popcorn is $2.95

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

1155

Step-by-step explanation:

165 X 7 = 1155

Answer: If Liam did 165 sit-ups a day, he would do 1155 sit-ups every week

Step-by-step explanation:

Answer:

Each question worth 5.

Step-by-step explanation:

Each question worth 5 Point because

5 x 20 = 100

Hence, 20 question each question worth 5 point.

If You get a 45% then you miss 11 question and only get 9 question correct..

9/20 x 100 = 45.

Answer:

Step-by-step explanation:

- 4x^3 / (- 4) = 32 / (- 4)

x should and cannot be negative or it shouldn't be for example (- x) = 90

cubic root (x^3) = cubic root (- 8)

x = cubic root (- 8)

x = 2i

what is "i"?

It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.

Perimete23.33 feet

Explanation:

A room is like a rectngle. SO we would apply the perimeter of a rectangle

perimeter of a rectangle = 2(length + width)

length = 10'6" = 10 feet 6 inches

Width = 14' = 14 inches

Let's make the unit oof length and width to be in feet (that is the unit in the question option)

12 inches = 1 foot

6 inches = 6/12 = 1/2 feet

14 inches = 14/12 = 7/6 feet

length = 10 feet + 1/2 feet = 10 1/2 feet = 21/2 feet

width = 7/6 feet

perimeter of a rectangle = 2(21/2 + 7/6)

Sajid is planning to bake cupcakes and muffins, with at least 16 items. He has 9000 grams of sugar. Here, C is the number of cupcakes and M is the number of muffins.At the second point, we get: \(C ≈ 45.45 and M ≈ 8.97\)At the third point, we get: \(C ≈ 142.86 and M ≈ -17.86\)

Therefore, he has 6 cups of sugar left. We can use this sugar to make muffins. From the second inequality, we can see that the maximum number of muffins he can bake is 14. Thus, the maximum number of cupcakes and muffins that Sajid can bake using all the sugar is 10 cupcakes and 14 muffins.Problem 3: How many cupcakes and muffins can Sajid bake to use at least 8000 grams of sugar

The solution lies in the region bounded by these two inequalities and the line M = 0 and C = 0. The three points of intersection of these lines are: (0, 0), (500/11, 286/33), (1000/7, 200/7).The first point (0, 0) does not satisfy the given conditions.  The second point satisfies the given conditions.

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a) It will be 70*180= 12600

b) 73.46