Find the slope.make sure to reduce

Please helppp!! Find the missing side . Round to the nearest tenth

olga nikolaevna [1]

Answer:

7. 7.8

Step-by-step explanation:

We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)

Tan A = (opposite side)/(adjacent side)

Tan 57° = 12/x

solve for x

x(Tan 57°) = 12

x = 12/(Tan 57°)

x = 7.8 (rounded to the nearest tenth)

6 0

3 years ago

Select the expression in terms of n

Bumek [7]

Answer:

2n - 11

Step-by-step explanation:

Note there is a common difference d between consecutive terms of the sequence, that is

d = - 7 - (- 9) = - 5 - (- 7) = - 7 + 9 = - 5 + 7 = 2

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 2, thus

$a_{n}$ = - 9 + 2(n - 1) = - 9 + 2n - 2 = 2n - 11

6 0

3 years ago

If a is a positive integer and b is a negative integer, which expression must be positive?

nydimaria [60]

So, let's solve all of them and see:

a - (-b) = a + b ⇒ can be either positive or negative, depending on the numbers

a + (-b) = a - b ⇒ can either be positive or negative, depending on the numbers

a * (-b) = a * (-b) ⇒ negative answer no matter what

a / (-b) = a / (-b) ⇒ negative answer no matter what

So the answer is:

<em>"None of the above"</em>.

Hope it helped,

BioTeacher101

(If you have any questions, feel free to ask them in the comments)

4 0

3 years ago

Read 2 more answers

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago

Find the missing dimension. Use the scale factor 1: 15. Door Model Height 10 in Actual

anygoal [31]

Answer:

The answer is "150 unit"

Step-by-step explanation:

scale factor = 1:15

height = 10

dimension =?

let dimension = x

$\Rightarrow \frac{10}{x} = \frac{1}{15} \\\\\Rightarrow 150 = x\\\\\Rightarrow x= 150 \ units$

5 0

3 years ago