doughnuts are sold in bags and cartons a bag holds 4 doughnuts and a carton holds 10 doughnuts tom buys b bags of doughnuts and c cartons of doughnuts he buys a total of t doughnuts write down a formula for t in terms of b and c

Answer:

15 ft

Step-by-step explanation

Answer:

11.2 feets

Step-by-step explanation:

Angle, P = 180 - (38 + 90) = 52

Using trigonometry :

Length pq:

SinP = opposite / hypotenus

Sin52 = 8.8 / pq

0.7880107 * pq = 8.8

pq = 8.8 / 0.7880107

pq = 11.167361

Hence, length of pq = 11.2 feets

9514 1404 393

Explanation:

The length CD can be found from the Pythagorean theorem.

  CF² + CD² = DF²

  2² + CD² = (2√10)²

  CD² = 40 -4 = 36

  CD = √36 = 6

From here, any of several methods could be used to find the area of ΔDEF.

One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.

  area ABCD = bh = (6 cm)(5 cm) = 30 cm²

  area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²

  area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²

  area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²

Then the area of interest is ...

  area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF

  area ΔDEF = (30 -10 -3 -6) cm²

  area ΔDEF = 11 cm²

__

Alternate solution

If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...

  D(0, 5), E(4, 0), F(6, 3)

The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.

  [tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]

_____

Additional comment

The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.

Answer:

-10/4 or -5/2 or -2 1/2

Step-by-step explanation:

Answer:

2/9 - 1/6 = 1/18

Step-by-step explanation:

2/9= 4/18 and 1/6=3/18

so...

4/18-3/18=1/18

Hope This Helps!

Answer:

1/18

Step-by-step explanation:

find the LCD

= 18

say

18

= 18 ÷ 9

= 2

= 18 ÷6

= 3

now say

2 × 2 = 4

3 × 1 = 3

4-3/18

= 1/18

Answer:

77.23°

Step-by-step explanation:

Given that,

A 135.8 foot wire is attached to the top of the tower.

The wire is attached to the ground 30 feet from the bottom of the tower.

It means,

If we consider a triangle such that hypotenuse is 135.8 foot and base is 30 feet, it means we can use the trigonometry as follows :

[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{30}{135.8}\\\\\theta=77.23^{\circ}[/tex]

So, the angle the wire make with the ground is equal to 77.23°.

Answer:

C).21

Step-by-step explanation:

Answer:

5.6715 * 10^26 kg

Step-by-step explanation:

Given that :

Mass of earth = 1/95 the mass of saturn

If Mass of earth = 5.97 x 10^24 kg

Let the mass of saturn = x

5.97 x 10^24 kg = 1/95 * x

5.97 x 10^24 kg = x / 95

x = 95 * 5.97 x 10^24 kg

x = 567.15 * 10^24

x = 5.6715 * 10^26 kg

Mass of saturn = 5.6715 * 10^26 kg

Answer:Set \displaystyle f\left(x\right)=0f(x)=0.

Step-by-step explanation:

Set \displaystyle f\left(x\right)=0f(x)=0.

If the polynomial function is not given in factored form:

Factor out any common monomial factors.

Factor any factorable binomials or trinomials.

Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.

Answer:

the answer is -2n+10;-18

Answer:To calculate the standard deviation of those numbers:

1.Work out the Mean (the simple average of the numbers)

2.Then for each number: subtract the Mean and square the result.

3.Then work out the mean of those squared differences.

4.Take the square root of that and we are done!

Step-by-step explanation:

Answer:

Carl ran for 85 minutes

Step-by-step explanation:

Since we know that he ran for 1 hour and 25 minutes and we know that 1 hour equals 60 minutes we can say that he ran for 60 + 25 minutes. Therefore he ran for 85 minutes.

Answer:

22 completed surveys

Step-by-step explanation:

In the scenario described above, the sample to be used is the information given by the 22 completed surveys. This is because, the remaining 8 initial samples give no information regarding the working condition of employees. Hence, this data points are the null points and may have to be removed from the data.

Therefore, the sample in the scenario described above are the 22 completed surveys from the initial 20 samples selected.

Answer:

1. 75 employees

2. 22 employees

Step-by-step explanation:

Edge 2021:)

Answer:

29 and 31 are the only primes.

The prime numbers that are between 27 and 35 are 29 and 31.

Prime numbers are those values ​​that can only be divided by 1 and itself (so the result is an integer).

Thus, analyzing all integer values ​​between 27 and 35 we have: 28,29,30,31,32,33,34.

Among these values, the only ones that are not divisible by numbers other than 1 and themselves are 29 and 31.

Learn more about prime numbers in: brainly.com/question/4184435

Answer:

you have a 0.25 chance

Step-by-step explanation:

Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason

Answer:

8

Step-by-step explanation:

Answer:

62.36

Step-by-step explanation:

hope it is helpful for you mark me brainliest

Answer:

$33,003.87

Step-by-step explanation:

A = 10,000(1 + [tex]\frac{.04}{4}[/tex])^30·4

A = 33,003.87

Answer:

B.)

   6.60

   4.20

-______

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

Answer:

i think that the answer is y = 3x- 1

8) y intercept is (0, 15) or 15

   slope is 10 (the y intercept represents how much it would cost to open an online gaming account and the slope represents how much each game costs after you open an online gaming account, including the $15 fee to open the account)

9) y=10x+15

10) you can look at the graph where it says number of games and go to 6 and go up until you reach the line and look at the side where it says cost (dollars) and then you will see that 6 games cost $75

Step-by-step explanation:

10 of $35=$3.5

20% of $35=$7

50% of $35=$17.5

25% of $35=$8.75

10% of 250g=25g

10% of 350g=35g

10% of 205 g=20.5g

10% of 305g=30.5g

is my answer a verified answer