In ΔWXY, x = 4.7 cm, y = 7.9 cm and ∠W=162°. Find the area of ΔWXY, to the nearest 10th of a square centimeter.

Answer:

We need to turn the equation into y=mx+b form.

So the equation would be:

y=-1(3)+-4

Step-by-step explanation:

Answer:

21cm, 24cm and 27cm

Step-by-step explanation:

7+8+9=24

72/24 = 3

7X3 =21

8x3 = 24

9x3 = 27

The side lengths of the triangle are 17, 144, 145.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle.

Triangle's characteristics:

Let x be length of smaller side of triangle

25 + 7x = longer length

26 + 7x = hypotenuse

(26 + 7x)² = (25 + 7x)² + x²

676 + 364x + 49x² = 625 + 350x + 49x² + x²

x² -14x - 51 = 0

(x - 17)(x + 3) = 0

x = {-3, 17}

But length cannot be negative.

∴The sides are 17, 144, 145.

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Answer:

70.69

Step-by-step explanation:

46 2/3 divided by 2/3

46.66 divided by 0.66

The anwser is 70.69

If the cook makes twice as much beef then the number of hamburgers would be two times larger which would be 141.39.

Half as much beef would be 70.69 divided by two which is 35.34.

el estudiante necesitará esperar aproximadamente 1.25 meses o alrededor de 1 mes y 8 días antes de su siguiente visita al peluquero.

Si el cabello corto crece a una tasa aproximada de 2 cm por mes, y el estudiante se cortó el cabello a un largo de 1 centímetro, podemos calcular cuánto tiempo llevará que el cabello crezca hasta los 3.5 centímetros.

La diferencia de longitud entre el largo actual del cabello y el largo deseado es de 3.5 cm - 1 cm = 2.5 centímetros.

Dado que el cabello crece a una tasa de 2 cm por mes, el tiempo requerido para que crezca 2.5 centímetros sería:

Tiempo = Longitud / Tasa de crecimiento

Tiempo = 2.5 cm / 2 cm/mes

Realizando la división, obtenemos:

Tiempo = 1.25 meses

Por lo tanto, el estudiante necesitará esperar aproximadamente 1.25 meses o alrededor de 1 mes y 8 días antes de su siguiente visita al peluquero.

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The negation of (p = (4-4)) is p ≠ 0.,  (-9V-p) is logically equivalent to (4-4).d (4-4) have the same truth values for all possible combinations of p and q.

(a) Using truth tables:

p q -9V-p 4-4

T T F F

T F F F

F T T F

F F T F

The truth table shows that (-9V-p) and (4-4) have the same truth values for all possible combinations of p and q. Therefore, (-9V-p) is logically equivalent to (4-4).

(b) Using De Morgan's laws:

-(p = (4-4)) = -(p = 0) (Since 4-4 = 0)

Applying De Morgan's laws to the expression p = 0:

-(p = 0) = p ≠ 0

So, the negation of (p = (4-4)) is p ≠ 0.

Expressing the negation of each statement without negation preceding a quantifier (a) ¬(∀n)(2n < 3n) = (∃n)(2n ≥ 3n) (Negating a universal quantifier (∀) results in an existential quantifier (∃) and changing the inequality sign)

(b) ¬(∃n)(4n = 5n) = (∀n)(4n ≠ 5n) (Negating an existential quantifier (∃) results in a universal quantifier (∀) and changing the equality sign)

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Answer:

∠ BAS = 122° , ∠ N = 89°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(2)

∠ BAS is an exterior angle of the triangle, then

19x + 8 = 6x + 11 + 75

19x + 8 = 6x + 86 ( subtract 6x from both sides )

13x + 8 = 86 ( subtract 8 from both sides )

13x = 78 ( divide both sides by 13 )

x = 6

Then

∠ BAS = 19x + 8 = 19(6) + 8 = 114 + 8 = 122°

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

(4)

11x + 31 is an exterior angle of the triangle , so

11x + 31 = 5x - 4 + 10x - 1

11x + 31 = 15x - 5 ( subtract 15x from both sides )

- 4x + 31 = - 5 ( subtract 31 from both sides )

- 4x = - 36 ( divide both sides by - 4 )

x = 9

Then

∠ N = 10x - 1 = 10(9) - 1 = 90 - 1 = 89°

Answer:

a. 3:45 a.m. = 3:345

b. 9:16 a.m. = 9:16

c. 12 ( midnight ) = 00:00

d. 12 ( noon ) = 12:00

Answer:

154 sq ft

Step-by-step explanation:

Area = pi * r^2 with radius r

A = pi * r^2 = 22/7 * 7^2 = 22 * 7 = 154 sq ft

Answer:

Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:

Step-by-step explanation:

1+2i is an example of a complex number.

3a - 4b is an example of a real number.

The equations of the functions from the zeros are f(x) = 4x² + 5x - 6 and f(x) = 3x² - 15

Function (a)

Given that

(3/4,0) and (-2,0).

Since the two points have the same y-coordinate of 0, the quadratic function is of the form

f(x) = (x - p)(x - q), where p and q are the x-coordinates of the two points.

Plugging in the given values, we get

f(x) = (x - 3/4)(x + 2)

So, we have

f(x) = 4x² + 5x - 6

Function (b)

Here we have

(-√5, 0), (√5, 0) and (-3, 12)

This function can be represented as

f(x) = a(x - p)(x - q)

So, we have

f(x) = a(x - √5)(x + √5)

Expand

f(x) = a(x² - 5)

Using the last point, we have

a((-3)² - 5) = 12

4a = 12

a = 3

So, we have

f(x) = 3(x² - 5)

Expand

f(x) = 3x² - 15

Hence, the function is f(x) = 3x² - 15

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Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Step-by-step explanation:

The given equation represents an ellipse with a center at (-1, 0), a vertical major axis, and a minor axis length of √5. The vertices are located at (-1, ±√5) and the foci are at (-1, ±√4).

The equation of the ellipse is given in the form (y - k)²/a² + (x - h)²/b² = 1, where (h, k) represents the center of the ellipse, a is the length of the semi-major axis, and b is the length of the semi-minor axis.

Comparing the given equation, (y + 1)²/5 = 1, with the standard form, we can determine that the center of the ellipse is (-1, 0). The equation indicates a vertical major axis, with the value of a² being 5, which means that the semi-major axis length is √5.

The vertices of the ellipse can be found by adding and subtracting the length of the semi-major axis (√5) to the y-coordinate of the center. Therefore, the vertices are located at (-1, ±√5).

To find the foci of the ellipse, we can use the relationship c² = a² - b², where c represents the distance from the center to the foci. Since the minor axis length is 1, we have b² = 1, and substituting the values, we find c² = 5 - 1 = 4. Taking the square root, we get c = ±√4 = ±2. Therefore, the foci are located at (-1, ±2).

In conclusion, the given equation represents an ellipse with a center at (-1, 0), vertices at (-1, ±√5), and foci at (-1, ±2).

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Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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Answer:

1 / 2

Step-by-step explanation:

wjqjqk qk11 1smqiqm

Answer:

1/2

Step-by-step explanation:

7 and 14 can both be divided by 7, 7/7 = 1 and 14/7 = 2, so 7/14 = 1/2.

The machine discharge more than 7.0 oz or does the difference represent chance variation is 0.0274

What is meant by variation?

In math, variance refers any difference between the individuals in a species or groups of organisms of any species.

Here we have given that a coin-operated soft drink machine was designed to discharge, on average, 7 oz of beverage per cup. in a test of the machine, 10 cupful's of beverage were drawn from the machine and measured. the average and SD of the ten measurements were 7.1 oz and 0.12 oz, respectively. assume that the histogram of beverage discharge from this machine roughly follows a normal curve.

And we need to find machine discharge more than 7.0 oz or does the difference represent chance variation.

By using the Applet, to find the exact p-value we first need to find P(Z≥2.63) where Z is a t9​ random variable.

=> P(Z≥2.63)=0.0137

=> 2×P(Z≥2.63)=0.0274

=> P-value=0.0274

So, the p-value associated with the test is 0.0274

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The value of Z, calculated using the formula Z = (x - μ) / σ with x = 32, μ = 34, and σ = 1.7, is approximately -1.18 when rounded to two decimal places.

To determine the value of Z using the formula Z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation, we can plug in the given values and calculate it.

Given:

x = 32

μ = 34

σ = 1.7

Substituting these values into the formula, we have:

Z = (32 - 34) / 1.7

Calculating it:

Z = -2 / 1.7

Z ≈ -1.18

Keystrokes to calculate Z:

32 - 34 = -2

-2 ÷ 1.7 = -1.1764705882352942 (rounded to two decimal places: -1.18)

Different keystrokes to produce the same answer:

34 - 32 = 2

2 ÷ 1.7 = 1.1764705882352942 (rounded to two decimal places: 1.18)

So, the value of Z is approximately -1.18.

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Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer: The answer would be 5:25.

Step-by-step explanation: To solve problems like this, you have to pay attention to what kind of ratio they're asking for. In this case, they want bananas to total fruit, so your ratio would be set up like this:

bananas:fruit

Now, just substitute for the values given. There are 5 bananas, and 9 apples plus 5 bananas plus 4 peaches plus 7 oranges equals 25 pieces of fruit in total. So, the ratio is 5:25. Remember, the ratio is bananas to total fruit; the bananas are listed first and therefore would come before the amount of fruit. Hope this helps!

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

The percent change in the number of card collected from last month to the this month is 24%.

What is percentage of a number?

A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that, Evita collected 25 cards in the last month.

He collects 19 cards in the this month.

The difference between the number of cards  in the last month and the this month is ( 25 - 19) =6.

The percent change in the number of card collected from last month to this month is

=[(The difference of the number of cards)/(the number cards in last month)] × 100

= (6/25)× 100

= 24%

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We have to draw the model for 5 divide 1/7 . In order to draw the model we use below steps.

Draw 1/7 boxes to represent 1/7 groups.

Assume 5 as the number which represents the total of these 1/7 groups.

Put a question mark at the first box.

Attached is the model to represents 5 divide 1/ 7 .

5/(1/7)

5*7

35

In the question mark we should put 35.

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Answer:

24/7

Step-by-step explanation:

cos(theta)=24/25

so draw right triangle

you get the length of each side be

7 24 25

(you must draw a picture)

then the answer would be 24/7

Answer:

y = 1/8x + 25/8

Step-by-step explanation:

Answer:

-46

Step-by-step explanation:

-9-7-8-15-6-1 equals -46

Answer:

-2

Step-by-step explanation:

10-2(2)

2(2)

=4

4+8

=12

10-12

=-2

Answer:

14

Step-by-step explanation:

10 - 2x + 8

10 - 2(2)+ 8

10 -4 + 8

10 +4

14

Answer:

Answer: I believe that the remaining four sides have 6 meters of fencing each.

Step-by-step explanation:

You have 54 meters of fencing for 6 sides of a dog pen. Two of these are 15 meters long each. 2 times 15 equals 30, so that makes the remainder of the fencing 24 meters (54-30=24). After that, there are 4 sides left to the fence, so 24 divided by 4 equals 6 (24÷4=6), and that is your answer

Hope this helps!