Given tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III, determine the value of cos⁡ θ.

Answer:

99

Step-by-step explanation:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99

Just go up 2 numbers 50 times

Answer: y=3/7x + 5

Step-by-step explanation:

The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we know that,

In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:

m1 = -1/(m2)

where m1 and m2 are the slopes of the lines.

Write the given equation in slope-intercept form to identify the slope m1, as follow:

7x + 3y = -18 subtract 7x both sides

3y = - 7x - 18 divide by 3 both sides

y = -7/3 x - 6

remind that the general form of the equation of a line can be written as follow:

y = mx + b

where m is the slope. Based on the expression for y = -7/3 x - 6, you have

m1 = -7/3

then, calculate m2:

m2 = -1/(m1)

m2 = -1/(-7/3)

m2 = 3/7

Hence, it is necessary that the perpendicular line has a positive slope of 3/7.

From the given answer choices, you can notice that the only option with the required slope is:

y = 3/7 x + 5

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Answer:

(3z+15) cm

Step-by-step explanation:

Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.

Answer:

length is longer

Step-by-step explanation:

length is llonger than dimensions

Answer:

length, is how tall it is....... dimensions is like lenght width and depth

Step-by-step explanation:

a line going up would eb the length,

dimentsions....l lengths...._ width ..... depth /

Answer:

(-2,10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150

Answer:

The answer is 2518.66666667.

Step-by-step explanation:

Answer:

If you meant 7556 divided by 3, then the answer is 2518  2/3

Step-by-step explanation:

Answer:

1. a = 16, b = 14

2. a = 16.5, b = 23.2

3. a = 7.25, b = 6.5

4. a = 8.4, b = 20

Step-by-step explanation:

Problem One:

2a + 6 = 3a - 10

6 = a - 10

16 = a

6b - 3 = 81

6b = 84

b = 14

Problem Two:

4a - 8 + 8a - 10 = 180

12a - 18 = 180

12a = 198

a = 16.5

8(16.5) - 10 = 5b + 6

122 = 5b + 6

116 = 5b

b = 23.2

Problem Three:

5b - 7 = 3b + 6

2b - 7 = 6

2b = 13

b = 6.5

2a = 3(6.5) - 5

2a = 14.5

a = 7.25

Problem Four:

3a + 1.8 = 4a - 6.6

1.8 = a - 6.6

8.4 = a

10(b + 8) = 10(1.4b)

10b + 80 = 14b

80 = 4b

20 = b

Answer:

Properties of a parallelogram

Opposite sides

Opposite and adjacent angles

Diagonals

Opposite sides and alternate interior angles

Answer:

8100/1800 = 4.5 days

Step-by-step explanation:

Answer: B

Step-by-step explanation:

2 1/4 in decimal form: 2.25

-2 1/5 in decimal form: 2.20

B converted into decimals: 2.25, 2.23, -2, -2.20

Answer:

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

Answer:

The alternative hypothesis is; Hₐ;

[tex]\hat p[/tex] > 60%

Step-by-step explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%

Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.

Answer:

120 euros

Step-by-step explanation:

X= 100% del precio (antes de la rebaja)

Pagaste el 85% pues habia descuento del 15%

85%--------------102

100%---------------x

CROSS MULTIPLICATION

85X  =  10200

Divide cada parte por 85

x= 120

Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.

En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.  

Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original,  al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.

Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:

15% de p= (15×p) ÷10

Sabiendo que se ha pagado 102 € por el pantalón, entonces:

p - (15×p) ÷10 = 102

Resolviendo

p - 0,15×p= 102

0,85×p= 102

p= 102÷0.85

p= 120

Finalmente, el precio antes de la rebaja era 120 €.

Aprende mas con estos ejemplos:

Answer:

4.5g

Step-by-step explanation:

it's easy

Answer:

Just put the opposite coordinates on the other side of the segment and thats your answer!

Step-by-step explanation:

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

Answer:

B and C

Step-by-step explanation:

They're congruent

Answer:

See below for answers

Step-by-step explanation:

Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?

Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].

Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].

Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.

Answer:

-18

Step-by-step explanation:

2b-3ac

2(3)-3(4×2)

6-3(8)

6-24

-18

Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( [tex]\frac{\pi }{4}[/tex] ) * D^2) - 2(  ( [tex]\frac{\pi }{4}[/tex] ) * d^2 )     given that the small circles are congruent

= (( [tex]\frac{\pi }{4}[/tex] ) * 20^2 ) - 2 ( ( [tex]\frac{\pi }{4}[/tex] ) * 10^2 )

= 314.16 - 157.08

= 157.08 m^2

Answer:

$10,277.32

Step-by-step explanation:

Given the revenue and cost function

R(x) = -31.72x^2 + 2,030x

C(x) = -126.96x + 26,391

The profit function is expressed as;

P(x) = R(x) - C(x)

P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,156.96x - 26,391

To have maximum profit, d

The maximum profit dP/dx = 0

dP/dx = -63.44x+2156.96

-63.44x+2156.96=0

63.44x = 2156.96

X = 2156.96/63.44

x = 34

Get the profit

P(34) = -31.72(34)² + 2,156.96(34)- 26,391

P(34) = -36668.32+73336.64-26391

P(34) = 10,277.32

Hence the maximum profit that can be made is $10,277.32

Answer:

$4500

Step-by-step explanation:

Find how much she earned by dividing 234 by 0.052

234/0.052

= 4500

So, she earned $4500

Answer: see below

Step-by-step explanation:

Divide 234 by 5.2 to get one percent of her earnings, $45.

Multiply 45 by 100 to get 100% of her earnings, $4,500

If it asking for the gross earnings, leave it at $4,500

If it is asking for net earnings, subtract 234 from 4500 to get $4,266

Answer:

-12

Step-by-step explanation:

I believe they multiply each term by -3/1

4/1 * -3/1 = -12/1 = -12

Answer:

18a(2bc+3d)

Step-by-step explanation:

36abc + 54ad = ?

Rewrite as ;

=2*18abc+3*18ad

Factor out common term 18a

18a(2bc+3d)

I HOPE THIS HELPED!!!

Answer:

thats nice??

Step-by-step explanation:

The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

In a lab experiment, the decay of a radioactive isotope is being observed.

At the beginning of the first day of the experiment, the mass of the substance was 1300 grams and the mass decreased by 6% per day.

[tex]a_n=a_1r^{n-1}[/tex]

Use the given value in the formula so we get,

[tex]a_{13}=1100(0.9)^{13-1}[/tex]

Simplify the given term

[tex]a_{13}=310.7[/tex]

Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

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Answer:

389

Step-by-step explanation:

Answer:

https://www.calculatorsoup.com/calculators/geometry-plane/polygon.php

that might help

Step-by-step explanation: