The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.

according to the information given, the answer is 9.68<26x

Answer:

18?

Step-by-step explanation:

15x.2=3 (20% of 15)

15+3=18

So new bar is 18 cm

Not really sure but I think lol

If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

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Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answer:

Step-by-step explanation:

Answer:

40 dollars.

Step-by-step explanation:

28=(.7)x

40=x

Thus, the original price was 40 dollars.

Answer:

25%

Step-by-step explanation:

Add the amount of vehicles all together and since it is asking for vans, there are 5 vans out of the 25 total vehicles. So 5/25 is equal to .25

Answer:

$186

Step-by-step explanation:

hourly wage: $10.50/hour

commission: 6%

5 hours + 9 hours = 14 hours

14 hours × $10.50/hour = $147

6% of $650 = 0.06 × $650 = $39

total: $147 + $39 = $186

the mean for both mean and women are 23 so the mean of all the people would be the same.

Answer:23

Answer:

3

Step-by-step explanation:

78+30=108

108*3=

324

The ratio of the money is the same as they worked. Tshepo will receive Rs. 8909.91 and John will receive Rs 5090.91.

What is the ratio of two quantities?

The ratio of two quantities of the same kind and units is a fraction that indicates how many times one quantity is of the other. The symbol ':' represents a ratio. The ratio of two quantities a and b (b≠0) is a/b, which is denoted by the symbol a: b.

Given that John worked for 80 hours and Tshepo worked for 140 hours.

The ratio of the work hour of John and Tshepo is

80:140

Divide both sides by 20:

=4:7

Since the ratio of payment is the work time.

The ratio of payment is 4:7.

Let John will get 4x and Tshepo will get 7x.

The sum of their payment is 4x+7x = 11x

According to the question,

11x = 14000

Divide both sides by 11:

x = 14000/11

Putting x = 14000/11:

Jhon will receive 4×( 14000/11) = 5090.91

Tshepo will receive 7×( 14000/11) = 8909.91

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Answer:

10/45 == 2/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 + (-2) = 3

If both numbers have different sign, subtract and the result will have the bigger number sign.

Here the bigger number is 5 and its sing is  '+'.

So, +3

Answer:

add those numbers and dived by the

Step-by-step explanation:

The value of $m$ is $43$.

The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.

To find the value of $m$, we can then set up the equation:

                                $0\equiv 215\pmod m$

and find all possible values of $m$ that make this equation true.

Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.

Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.

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Answer:

the last answer..... x.

Answer:

m = 6/7

Step-by-step explanation:

Rearrange the equation so that like terms are on either side

7 + 5 = 2m + 14m

12 = 14m

Divide both sides by 14 so that the variable is on its own

12/14 = m

m = 6/7

Based on the given information, we can develop the following product structure diagram:

 A

/   \

2B 3C

/ \ |

2D 2E |

| |

F |

| |

2D 1G |

To determine the number of units of each item required to satisfy the new demand of 25 bicycles, we start from the top and work our way down the diagram.

Since we need 25 bicycles, we will need 25 units of A.

Each A requires 2 B, so we need 2 x 25 = 50 units of B.

Each A requires 3 C, so we need 3 x 25 = 75 units of C.

Each B requires 2 D, so we need 2 x 50 = 100 units of D.

Each B requires 2 E, so we need 2 x 50 = 100 units of E.

Each F requires 2 D, so we need 2 x 100 = 200 units of D.

Each F requires 1 G, so we need 1 x 100 = 100 units of G.

Therefore, to satisfy the new demand of 25 bicycles, we need:

25 units of A

50 units of B

75 units of C

100 units of D

100 units of E

100 units of G

If there are 100 Fs in stock, we already have enough of each item for the production of 100 bicycles. Therefore, there is no additional need for any specific item.

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Answer:

I think it's this 62.13 in↑3.

I hope it's right!

Answer:

−5

Step-by-step explanation:

By substituting the value of x in f(x) with -4,

(-4)^2+4(-4)-5

=16+(−16)−5

=0−5

=-5

Your welcome :D  

The solutions to the quadratic  equation 3x² + 8x - 50x = 42 correct to 2 decimal places are approximately x = 12.07 and x = 1.93.

What exactly are quadratic equations?

A quadratic equation in algebra is a second-degree polynomial equation of the form: ax² + bx + c = 0, where a, b, and c are constants and x is the variable. For the equation to be quadratic, the coefficient a must not be equal to zero.

Now,

To solve the equation 3x² + 8x - 50x = 42 algebraically, we can follow these steps:

3x² - 42x = 42

Move all the terms to one side of the equation, so that the equation equals 0:

3x² - 42x - 42 = 0

Divide both sides of the equation by the common factor of 3 to simplify it:

x² - 14x - 14 = 0

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = -14, and c = -14, so we can substitute these values into the formula:

x = (-(-14) ± √((-14)² - 4(1)(-14))) / 2(1)

= (14 ± √(232)) / 2

≈ 12.07 or 1.93

Therefore, the solutions to the equation 3x² + 8x - 50x = 42 correct to 2 decimal places are approximately x = 12.07 and x = 1.93.

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Right question:-

Solve this equation algebraically. Give your solutions correct to 2 decimal places. 3x² + 8x - 50 x = 42.

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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The measure of angle C is 53.13 degrees.

What are trigonometric functions?

Trigonometric functions are a set of mathematical functions used to relate the angles of a right triangle to the lengths of its sides. There are six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. Each function represents a ratio of two sides of a right triangle.The tangent function, denoted as tan(x), is a trigonometric function that represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Calculating the value of angle C :

The three sides of the given right triangle are 3 cm, 4 cm, and 5 cm.

To find the measure of angle C, we can use the trigonometric function called inverse tangent, or arctan, which gives the ratio of the length of the opposite side to the length of the adjacent side.

Using the Pythagorean Theorem, we can verify that the given triangle is a right triangle:

\(5^2 = 3^2 + 4^2\)

\(25 = 9 + 16\)

\(25 = 25\)

So, the triangle is a right triangle.

To find the measure of angle C, we can use the arctan function:

\(tan(C) =opposite/adjacent = 3/4\)

\(C = arctan(3/4) \approx 53.13\) degrees

Therefore, the measure of angle C is 53.13 degrees (rounded to the nearest hundredth).

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Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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The resulting distance-time graph with time on the horizontal axis and distance from home on the vertical axis to represent the situation has a V-shape and is found in the attachment.

A distance-time graph shows in graphic form how far a body has moved in a given period of time.

The graph's findings for distance versus time are represented by a straight-line graph. On the Y-axis, distance is shown. On the X-axis, time is shown.

By plotting the distance of Jackson from his home at any point in time on the vertical axis and the time on the horizontal axis, a V-shaped graph is obtained.

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

y=5x+10

Step-by-step explanation:

y-11=5(x+2)

y-11=5x+10

  +11      +11

y=5x+21

Explanatory variables in a regression model are typically considered to be random when they are subject to variability or uncertainty. There are several reasons why explanatory variables may be treated as random:

Measurement error: Explanatory variables may be measured with some degree of error or imprecision. This measurement error introduces randomness into the values of the variables. Accounting for this randomness is important to obtain unbiased and accurate estimates of the regression coefficients.

Sampling variability: In many cases, the data used to estimate the regression model are obtained through sampling. The values of the explanatory variables in the sample may differ from the true population values due to random sampling variability. Treating the explanatory variables as random helps capture this uncertainty and provides more robust inference.

Random assignment in experiments: In experimental studies, researchers often manipulate or assign values to the explanatory variables randomly. This random assignment ensures that the variables are not influenced by any underlying factors or confounders. Treating the explanatory variables as random reflects the randomization process used in the experiment.

By considering the explanatory variables as random, we acknowledge and account for the inherent variability and uncertainty associated with them. This allows for a more comprehensive and accurate modeling of the relationships between the explanatory variables and the response variable in regression analysis.

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There are a total of 3 numbers with a total of 33 digits.

What is number ?

Digits should be distinguished from digits, symbols used to represent numbers. The Egyptians invented the first cryptographic number systems, and the Greeks mapped numbers to the Ionic and Doric letters. 

Roman numerals (systems using combinations of Roman letters) remained dominant in Europe until the higher-order Hindu-Arabic numeral system became popular towards the end of the 14th century.

The key to this system's effectiveness was the symbol for zero, developed by ancient Indian mathematicians around 500 AD.

We want to find the set of four-digit numbers whose digits sum to 33. There are 3 numbers for a total of 33.

They are 6999, 7899, and 7989.

Now,

6+9+9+9=33

7+8+9+9=33

7+9+8+9=33

Clearly, the sum of all the digits of 6999, 7899, and 7989 equals 33.

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Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = \(1/3(length * width * height)\)

And,

perimeter of a square = \(4 * length\)

6.9 = 4 x length

So,

length = 1.725

Now the volume is

\(= 1/3 * (1.725 * 1.725 * 2.8)\)

= 2.8

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