Find the value of x in the triangle shown below.

Answer: x= 437.3 ft.

Step-by-step explanation:

Let the angle side at 29 be n

so

n+29 = 90

so, n = 61

now

sin 61= p/h

sin 61 = x/500

so, x = sin 61*500

so, x = 437.3

Answer:

We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.

We find the difference between these two:

(16/24) - (3/24) = (16-3)/24 = 13/24

So we get 13/24 more of the bag of candy than our friend did.

Answer:

1/6

Step-by-step explanation:

you’re being asked the difference between the amounts of your candy and your friend’s candy.

So you must subtract 1/3 from 1/2.

=> 1/2 - 1/3

=> 3*1 - 2*1/3*2. ( You criss-cross and you multiply the denominators)

=>. 3 - 2 /6

=> 1/6

So you got 1/6 more candies in your bag than your friend.

Answer:

(0, -2)

(-3, 1)

(3, -4)

Step-by-step explanation:

The constraints given as;

x + y ≥ -2

3x - y ≤ 2

x - y ≥ -4

Since we want to find vertices of the feasible region, we will ignore the less than or greater than sign and use the equal to sign to some simultaneously.

Let's add first and third constraint together to get;

2x = -6

x = -6/2

x = - 3

Put - 3 for x in equation 1 to get;

-3 + y = -2

y = 3 - 2

y = 1

Thus, vertex here is; (-3, 1)

Lets add first and third equations to get;

4x + 0 = 0

Thus, x = 0

Putting this for x in eq 1;

0 + y = -2

y = -2

vertex here is; (0, -2)

Lets subtract eq 3 from eq 2 to get;

2x = 6

x = 6/2

x = 3

Put 3 for x in eq 3;

x - y = -4

vertex here is; (3, -4)

Answer:

Step-by-step explanation:

Given,

[tex] {25a}^{2} - {9b}^{2} [/tex]

[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]

Since,

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Then,

= (5a + 3b)(5a - 3b) (Ans)

Answer:

74

Step-by-step explanation:

16 more than 15 equals 31

13 more than 15 = 28

15 + 31  + 28 = 74

Answer:

Common Ratio = 2.5

Step-by-step explanation:

Given

Points: (1, 1), (2, 2.5), (3, 6.25)

Required

Determine the common ratio

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function and in this case,  they are not needed;

To calculate common ration, Lena should use data in function f(x) column

Common ratio is calculated by dividing a term by the previous term;

Hence;

Common Ratio = 2.5/1 or 6.25/2.5

Common Ratio = 2.5 or 2.5

Notice that, the results are the same;

Hence, the usable common ratio is 2.5

Answer: 2.5 or "C"

Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D

Answer:

24

Step-by-step explanation:

2*1+1+2*2+1+2*3+1+2*4+1=24

Answer:

It is the last option.

Jordan needs 1 1/2 cups of diced chicken for 3 salads.

To make this easy for you.

1. start on the x axis which is number of salads.

2. Go to the number 3 (of the x axis which is the number of salads)

3. Find your way up to the point marked.

4. see what is your number in the y-axis (in this case it is 1 1/2.

Step-by-step explanation:

I hope it helps!

Answer:

9 grams of paint

Step-by-step explanation:

6×8=48

48÷4= 12

48-12=36

36÷4=9

first multiply 6 by 8 because a cube has six faces and you cut that cube eight times

second after you cut that you will have 48 faces and for every six faces there are 4 grams of paint so you divide 48 by 4 and you get 12 this means that 12 of the faces are painted

next you subtract 12 from 48 and you get 36 this means that 36 faces are not painted

lastly you divide 36 by 4 and you will get 9 grams of paint

Answer:

Step-by-step explanation:

The first box is 'not closed'

Second is ' an element'

Third = 'closed' and last is 'an element'.

[tex]\huge\underline\pink{✏ANSWER}[/tex]

Sorry for answering a nonsense

#BrainliestBunch

Answer:

The minimum value of f(x) is -21 and it occurs at x = 1

Step-by-step explanation:

f(x) =3x^2-6x-18

Factor out the greatest common factor out of the first two terms

f(x) =3(x^2-2x)-18

Complete the square

-2x/2 =-1  (-1)^2 = 1

Add 1  (But remember the 3 out front so we are really adding 3  so we need to subtract 3 to remain balanced)

f(x) = 3(x^2 -2x+1) -3 -18

f(x) = 3(x-1)^2 -21

This is vertex form

f(x) = a(x-h)^2 +k  where (h,k) is the vertex and a is a constant

The vertex is (1,-21)  

Since a > 0 this opens upward and the vertex is a minimum

The minimum value of f(x) is -21 and it occurs at x = 1

Answer:

d. -4x² + 8x - 6

Step-by-step explanation:

(3x² + 2x - 4) + (-7x² + 6x - 2)

3x² + 2x - 4 - 7x² + 6x - 2

3x² - 7x² + 2x + 6x - 4 - 2

-4x² + 8x - 6

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

use Pisagor teorem

Step-by-step explanation:

The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)

use other triangle to find hipotenus 48²+36²=x² .... x= 60

Answer:

21b

Step-by-step explanation:

Answer:

43

78

56

Step-by-step explanation:

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].

Answer:

7

Step-by-step explanation:

10 minus 3 will give you the number

Answer:

7

Step-by-step explanation:

let the number added to 3 be 'x'

we know;

X+3=10

X=10-3

X=7

Answer:

the answer is a

Step-by-step explanation:

sory lawl

i mean e

answer e!

good luck w summer geometoery

Answer:

the second one (the one on the bottom)

Step-by-step explanation:

An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.

Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]

                      [tex]=\frac{62}{360}*2*3.14*12[/tex]

                      = 12.98 cm

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) [tex]2x-11=x+7[/tex]

2) [tex]x-11=7[/tex]

3)[tex]x=18[/tex]

Answer:

[tex]344 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: the \: square \\ = 40cm \times 40cm \\ = 1600 {cm}^{3} \\ [/tex]

[tex]area \: of \: the \: circle \\ = \pi {r}^{2} \\ = 3.14 \times {(20)}^{2} \\ = 3.14 \times 400 \\ = 1256 {cm}^{2} \\ [/tex]

[tex]area \: of \: shaded \: region \\ = 1600 {cm}^{2} - 1256 {cm}^{2} \\ = 344 {cm}^{2} \\ [/tex]