Evaluate cosθ when sinθ = -7/8 and θ is in Quadrant IV.

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:

h = -16t^2 + 50t +6

Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.

Now replace t  and solve for h ( maximum height)

h = -16(1.5625)^2 +50(1.5625) + 6

h = 45.0625

The value for h is greater than the height of the balcony, so yes the ball reached  the friend.

Answer:

[tex] \boxed{b\degree = 36\degree} [/tex]

Step-by-step explanation:

Property used: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

[tex] = > 81 \degree + b \degree = 117 \degree \\ \\ = > b \degree = 117 \degree - 81 \degree \\ \\ = > b \degree = 36 \degree [/tex]

Answer:B

Step-by-step explanation:

Sq rt. (0-1)^2+(3- -5)^2

(1)^2+(8)^2

1+64=65

Step-by-step explanation:

B) square root of 65

.................

Answer = 5

I don't feel like explaining it.

Answer:

4800m³

Step-by-step explanation:

V=[tex]\frac{lwh}{3}[/tex]=[tex]\frac{(30)(24)(20)}{3}[/tex] =4800

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

Answer:

4

Step-by-step explanation:

2×4 is the only one that equals less than 9, 2× 4.5 is 9, 2×5.5 is 11, 2×6 is 12, and the question is trying to get below 9, so 4 is the only answer that can get below 9

Answer:

No the right answer is

Step-by-step explanation:

-36

The value of the expression A = 6[4-9.47] is A = -33

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 6 [ 4 - 9.47 ]

On simplifying , we get

A = 6 ( -5.47 )

On further simplification , we get

A = 6 x -5.47

A = -32.82

On rounding the value of A , we get

A = -33

Therefore , the value of A is -33

Hence , the equation is A = -33

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Answer:

D = 2.75 cm

Step-by-step explanation:

D = C÷ π

D = 8.65 ÷ 3.14

D = 2.754

D = 2.75 cm

Answer:

d = 2.75 cm

Step-by-step explanation:

C = 2π·r } => C = dπ => d = C/π

2r = d

d = 8.65cm/3.14 ≈ 2.75 cm

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $[tex]5[/tex] for going in.

She has [tex]2[/tex] whole pounds.

[tex]1.25[/tex] x [tex]2=2.5[/tex] or [tex]2 \frac{1}{2}[/tex]

Add $[tex]5[/tex] and $ [tex]2.5[/tex] .

[tex]5+2.5 = 7.5[/tex]

Now let's do $1.25 divided by 10.

[tex]$[/tex]$[tex]1.25[/tex] divided by $[tex]10[/tex] [tex]=0.125[/tex]

Now let's do [tex]0.125[/tex] times [tex]4[/tex]

[tex]0.125[/tex] x [tex]4 = 0.5[/tex]

Now let's add 7.5 to 0.5

[tex]7.5+0.5=8[/tex]

Answer:

1,491.6

Step-by-step explanation:

add all numbers:

954 + 1850 + 1200 + 1200 + 1350 + 1999 + 1888 = 10,441

divide sum by the numbers added:

10,441 / 7 = 1,491.6

Answer: I think u have to multiply all da numbers.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

9^2 or 9(9) = 81

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem since we know the legs

a^2+b^2 = c^2

12.75 ^2 + 17^2 = c^2

162.5625+289= c^2

451.5625 = c^2

Take the square root of each side

sqrt(451.5625) =sqrt( c^2)

21.25 = c

Answer: the answer will be 21.25

Step-by-step explanation:

Answer:

0%

Step-by-step explanation:

There are 4 navy shirts.

There are 12 red shirts.

The rest are white.

That means there isn't any green shirts.

Answer:

$5180.12

Step-by-step explanation:

B=4000(1+0.09)^3

Answer:

885.1

Step-by-step explanation:

p = 3000

r = 9/100 = 0.09

t = 3 years

B = 3000 * (1+ 0.09)^3

B = 3000 * (1.09)^3

1.09^3 = 1.09*1.09 * 1.09 = 1.295

B = 3000 * 1.295

B = 3885.10

So the interest is Balance - principle =  3885.1 - 3000 = 885.1

Answer:

a) The modal class for this case represent the class with the highest frequency

And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8

b) [tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]

Step-by-step explanation:

Part a

The modal class for this case represent the class with the highest frequency

And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8

Part b

For this case we need to find the mid point of each interval:

Interval   Midpoint  Frequency

18-20          19                 3

20-22         21                 2

22-24         23                 7

24-26         25                 8

And we can find the sample mean with this formula:

[tex] \bar X = \frac{\sum_{i=1}^n f_i x_i}{n}[/tex]

And replacing we got:

[tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]

The class with the highest frequency  represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency of 8 and an estimate of the mean age of these employees is 23.

Given :

The table shows the age, in years, of employees in a company.

A) The class with the highest frequency  represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency 8.

B) To estimate the mean age of these employees, first, determine the midpoint.

Age              Frequency              Midpoint

18-20                    3                             19

20-22                   2                             21

22-24                    7                             23

24-26                    8                             25

The formula of the sample mean is given by:

[tex]\rm \bar{X} =\dfrac{\sum^{n}_{i=1}f_ix_i}{n}[/tex]

[tex]\rm \bar{X} = \dfrac{19\times 3+21\times 2 +23\times 7+25\times 8}{3+2+7+8}[/tex]

[tex]\rm \bar{X} = 23[/tex]

For more information, refer to the link given below:

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Answer: £165.41

Step-by-step explanation:

Price of bike when purchased in 2010 = £300

Depreciation rate yearly = 18%

Value of bike in 2011

Purchased price - depreciation value

= £300 - £300 * 0.18

= £300 - £54

= £246

Value of bike in 2012

= 2011 Price - depreciation value

= £246 - £246 * 0.18

= £246 - £44.28

= £201.72

Value of Bike in 2013

= price of 2012 - depreciation value

= £201.72 - £201.72 * 0.18

= £201.72 - £36.31

= £165.41

Price in 2014 would be £165.41

hope it help you..if it help then plz mark as brainliest

Answer:

the final amount is = $280.51

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Given that;

Principal P = $200

Interest rate r = 7% = 0.07

Time t = 5 years

Final amount = A

Number of time compounded per year n = 1

Substituting the values;

A = 200(1+0.07/1)^(1×5)

A = 280.51

Therefore, the final amount is = $280.51

Answer:

x = - 2, x = - 1

Step-by-step explanation:

Given

f(x) = x² + 3x + 2

To find the zeros let f(x) = 0, that is

x² + 3x + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are + 2 and + 1, since

2 × 1 = 2 and 2 + 1 = 3, thus

(x + 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 1 = 0 ⇒ x = - 1

Answer:

Real Zeros: -1, -2

Step-by-step explanation:

[tex]x^{2} +3x+2=0\\[/tex]

Plug into quadratic equation formula:

[tex]\frac{-3+\sqrt{3^{2}-4ac} }{2(1)}= -1 \\\frac{-3-\sqrt{3^{2}-4ac} }{2(1)}= -2[/tex]

Hope this helped!

Answer:

75 between E and B.........

Answer:

50

Step-by-step explanation:

2 1/2=5/2

(5/2)(20)=100/2

Answer:

[tex] x = \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] = > \frac{x}{4} = \frac{3}{8} \\ \\ = > x = \frac{3}{8} \times 4 \\ \\ = > x = \frac{3}{2} [/tex]

Step-by-step explanation:

3x-5+23x-9

26x-5-9=26x-14

2(13x-7)

Answer :

C

Step-by-step explanation:

3x – 5 + 23x – 9 = 26x - 14

2 . 13x = 26x

2. -7 = -14

2 ( 13x -7) so answer is C

or another way :

a. 2(14x -6)  = 28x - 12

b. 3x(13x-6)  = 39x² - 18x

c. 2(13x -7)  = 26x - 14

d. 3x(13x - 5) = 39x² -15x

so answer is C

Hope this helps ^-^

Answer: 2 kilometers.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle, the longest side  (in this case the distance between  the courthouse and the city pool) and a and b are the other sides.

Replacing with the values given:

4.4^2 = 3.9^2 + b^2

19.36 = 15.21+b^2

19.36-15.21 = b^2

4.15 = b^2

√4.15 = b

b=2 km

Feel free to ask for more if needed or if you did not understand something.

Answer:

3/8^4*38

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

Answer:

the answer is attached to the picture

Answer:

You would need to subtract when:

Step-by-step explanation:

If there is a negative number like 4 -5

If there is a parentheses,

A subtraction sign.

Hope this helps you.