what is the solution

options:
a. (-2,-2)
b. (-1,-5)
c. (-5,-1)
d. (2,-1)

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

Answer:

A= 21 m

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

Given data

Length=50cm

Width= 30cm

Volume = 36liters

=36000cm^3

We know that the expression for volume is

V= L*W*H

substitute

36000=50*30*H

36000= 1500*H

H= 36000/1500

H= 24cm

Hence the height is 24cm

Answer: 5 years

Step-by-step explanation:

Given

Linda is [tex]3\ \frac{1}{3}\ yr[/tex] younger than Rose

Johan is [tex]8\ \frac{1}{3}\ yr[/tex] older than Linda

Suppose the age of Rose is [tex]x[/tex]

So, Linda's age

[tex]x-\dfrac{3\times3+1}{3}=x-\dfrac{10}{3}[/tex]

Johan's age

[tex]x-\dfrac{10}{3}+\dfrac{8\times3+1}{3}=x+\dfrac{-10+25}{3}\\\\x+\dfrac{15}{3}=x+5[/tex]

Difference between the Rose's and Johan's age is

[tex]\Rightarrow x+5-x=5\ yr[/tex]

Answer:

D:(-8,-5)

Step-by-step explanation:

It is already negative and if plotted the coordinates then reflected, it will give this answer

Answer:

Approximately 1553.83

Answer:

Step-by-step explanation:

Total amount of rainwater that Kyle collected = 1.46 + 0.751 = 2.211 gallons

Answer:

[tex]1) v= 400 ft^{2}[/tex]

[tex]2) v=1093.3m^{3}[/tex]

Step-by-step explanation:

1) v= 1/3 ab ×h

v= 1/3 (10)(10)×√13²-5²

v= 400 ft²

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

2) v= πr² h/3

v= 1/3 × π×(6)²×29

v= 1/3×π×12×29

v= 348π

v= 1093.27

≈1093.3

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

hope it helps...

have a great day!!

This expression is not factorable with rational numbers

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

Answer:

8 cookies left over

Step-by-step explanation:

use long division.

divide 143 by 15.the remainder is 8

Answer:

9/10

Step-by-step explanation:

Given:

The three sides of a triangle are:

[tex](x-8),(4x^2-3),(4x^2+4)[/tex]

The perimeter of the triangle 650 units.

To find:

The value of x.

Solution:

Perimeter of a triangle is the sum of all three sides of the triangle. So,

[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]

[tex]Perimeter=8x^2+x-7[/tex]

The perimeter of the triangle 650 units.

[tex]8x^2+x-7=650[/tex]

[tex]8x^2+x-7-650=0[/tex]

[tex]8x^2+x-657=0[/tex]

Splitting the middle term, we get

[tex]8x^2+73x-72x-657=0[/tex]

[tex]x(8x+73)-9(8x+73)=0[/tex]

[tex](x-9)(8x+73)=0[/tex]

Using zero product property, we get

[tex](x-9)=0\text{ and }(8x+73)=0[/tex]

[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]

For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.

Therefore, the only value of x is 9.

Answer:

A

Step-by-step explanation:

Answer:

I say 28

Step-by-step explanation:

because its 27 and it's almost to 28

Answer:

E. 568

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

AP EX

The number of trees are multiplied by 3 each week.

Answer:

69824.21

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Step-by-step explanation:

Answer:

b, b

Step-by-step explanation:

use the graph

Answer:

The x-intercept is (500, 0);  the y-intercept is (0, 400).

Step-by-step explanation:

F(x)=400-4/5x is already a function:  a function of x.

To find the y-intercept, set x = 0 and calculate F(0):

    F(0) = 400 - 0 = 400; the y-intercept is (0, 400).

To find the x-intercept, set F(x) = y = 0 and solve for x:

     0 = F(x) = 400 - (4/5)x, or (4/5)x = 400.  To isolate x, multiply both

     sides by (5/4):  x = (5/4)(400) = 500.  The x-intercept is (500, 0).

Answer:

C. 2x^2 + 3x - 1

is the answer

Answer:

the answer is -1

Step-by-step explanation:

I took the quiz

Answer:

Below in bold.

Step-by-step explanation:

i, This is a rectangular hyperbola with symmetry about the line y = -x

   If it touches the graph at one point only then

y = 25/x

y = mx + b so

25/x = mx + b

mx^2 + bx + 25 = 0

Using the quadratic formula:

x = (-b + sqrt(b^2 - 25*4*m)) / 2m

Now there's only one value of x so

b^2 - 25*4*m = 0

b^2 = 100m

m = b^2/100.

m = +/-b/10.

ii  In this case b^2 > 100m

If m = |-5|

b^2 > 500

b > +/-√500

So b > √500 or b < -√500.