Identify which of the labeled angles in the figure is an obtuse angle. answers: A) 2 B) 3 C) 1 D) 4

Answer:

The width is x+4

Step-by-step explanation:

A = l*w

x^2+11x+28  = (x+7) *w

Factor the left side

(x+7)(x+4) =  (x+7) *w

Divide each side by (x+7)

x+4 = w

The width is x+4

Answer:

x+4

Step-by-step explanation:

x^2+11x+28

x²+7x+4x+28

x(x+7)+4(x+7)

(x+7) (x+4)

area =l * w

l=(x+7)

hence, (x+4) is de width

Answer:

Step-by-step explanation:

Find  the maximum value of

C = 3x -2y  Objective function

subject to the following constraints.

Constraints

x ≥ 0

y ≥ 0                

2x + y ≤ 10  vertex 1 : when x=0 then y=10  (0,10)

3x + 2y ≤ 18 vertex 2 : y=0, then x=6          ( 6,0)

two equations together to determine vertex 3 :

3x+2y = 18

2x+y = 10

x=2, y= 6

The feasible region determined by the constraints is

shown. The three vertices are (0, 10),  and (6, 0), (0,9)

and (2,6)

First evaluate C = 3x -2 y at each of the vertices.

At (0, 10): C = 3(0) - 2(10) = -17

At (6, 0): C = 3(6) - 2(0) = 18

At ( 2,6) : C = 3(2) -2(6) = -6

At (0,9) : C = 3(0)-2(9)= -18

the maximum value occur on 18 when x=9 and y=0

Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:

[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]

       Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].

        [tex]2(0)+y=10\\ y=10[/tex]

      So, the intersecting point is [tex](0,10)[/tex].

       Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].

        [tex]2x+0=10\\ 2x=10\\ x=5[/tex]

      So, the intersecting point is [tex](5,0)[/tex].

       Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].

        [tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]

      So, the intersecting point is [tex](0,9)[/tex].

       Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].

        [tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]

      So, the intersecting point is [tex](6,0)[/tex].

        Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].

        [tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]

       Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:

        [tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]

      So, the intersecting point is [tex](2,6)[/tex].

Corner points:

          The corner points are the boundary points of the bounded region of   the given constraints.

The bounded region of the given constraints is shown below.

Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:

At [tex](0,0)[/tex]:

[tex]C=3(0)-2(0)\\C=0[/tex]

At [tex](5,0)[/tex]:

[tex]C=3(5)-2(0)\\C=15[/tex]

At[tex](0,9)[/tex]:

[tex]C=3(0)-2(9)\\C=-18[/tex]

At[tex](2,6)[/tex]:

[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]

From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].

Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].

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Answer:

length x width x 6 = 90

area of shaded face = 15

The area of the shaded region is 15 square cm.

The space occupied by a flat shape or the surface of an object is called area.

[tex]Area = lb[/tex]

Where,

l is the length of the rectangle.

b is the breadth of the rectangle.

A volume is simply defined as the amount of space occupied by any three-dimensional solid.

volume = length × breadth × height

According to the given question.

We have,

Height of the cuboid  = 6cm

Volume of the cuboid = 90 cubic cm.

⇒ length × breadth × height = 90

⇒ length × breadth × 6 = 90

⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]

⇒ length × breadth = 15 square cm....(i)

Since, the area of shaded region = length × breadth

From (i)

Length × breadth = 15 square cm .

Hence, the area of the shaded region is 15 square cm.

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Answer:

A

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A

Answer:

126

Step-by-step explanation:

squaring both sides

([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]

⇒2x+4=256

2x=252

x=252/2=126

Answer:

C

Step-by-step explanation:

Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.

Answer:

800

Step-by-step explanation:

900-100= 800

Therefore, the difference is 800. I hope this helps, have a great day!!!

Answer:

800

Explanation:

When solving this problem we need to remember that it is asking us to find how much money she gained throughout the day, NOT the total amount she had at the end of the day. To find how much money she gained, simply subtract one hundred by nine hundred.

900 - 100

800

Therefore, $800 was the change in how much money she had.

Answer: 150 minutes

Step-by-step explanation:

1.5 pounds in 45 min

5 pounds in X times

Using proportionality:

[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]

Answer:

x = 0

Step-by-step explanation:

5x=29x

Subtract 5x from each side

5x-5x=29x-5x

0 = 24x

Divide each side by 24

0/24 =24x/24

0 = x

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

Answer: Plan A

Step-by-step explanation:

7 + (2.50x5) = ?

7 + 12.50 = 19.50 therefore plan A = $19.50

Plan B = 5x4 = 20 therefore plan B = $20.00

Answer:

D. Make a list

Step-by-step explanation:

Answer:

D. Make a list

Step-by-step explanation:

You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.

Answer:

The answer is option (B).

Answer:

11

Step-by-step explanation:

First, set up an equation. Since all the blue marbles+red marbles+green marbles= total number of marbles, we have: x+4x+x-5=91.

x+4x+x-5=91

6x-5=91

6x=96

x=16

Since there are x-5 green marbles, we get the number of green marbles=16-5=11.

Answer:

1/6

Step-by-step explanation:

Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)

Answer:   5/6

The complement of an event is basically the complete opposite.

If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.

The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get

1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6

Answer:

B

Step-by-step explanation:

The farmer plants 195 rows of beets and has 25 beet plants left over

Answer:

The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.

Step-by-step explanation:

Answer:

The equation for this function in point slope form: y = -3x+47

Step-by-step explanation:

We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.

Slope is the rate of change per unit represented by m

So, m = -3

General equation : y = mx+c ----1

y represents the depth of water

t represents the time

The depth of the water after 5 hours is 32 inches.

So, y =32 and x =5

Substitute the values in the equation

So,32=-3(5)+c

32=-15+c

32+15=c

47=c

Substitute the value of c and m in 1

So, The equation for this function in point slope form: y = -3x+47

Answer:

n=10

Step-by-step explanation:

22+18=40 40/4=10

Given

4n - 18 = 22

Add 18 to both sides:

(4n - 18) + 18 = 22 +18

4n = 40

Divide 4n to both sides

[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]

n=10

Now if you have to you can substitute n into the original equation and see if they are equal to one another.

4n - 18 = 22

4(10) - 18 = 22

40 - 18 = 22

22 = 22

With this being done n = 10

Answer:

Option D: 5.98x Coconuts

Answers  The answer A

Step-by-step explanation:

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

Answer:

x = - 5

Step-by-step explanation:

The line with equation x = - 2 is a vertical line parallel to the y- axis.

A parallel line will also have the equation

x = c

where c is the value opf the x- coordinates the line passes through.

The line passes through (- 5, 4) with x- coordinate - 5, thus

x = - 5 ← equation of parallel line

Answer:

1/6

Step-by-step explanation:

P(3) = number of three's  / total number of outcomes

      = 1/6

Answer:

5^15

Step-by-step explanation:

When the bases are the same, we add the exponents when multiplying

5^10 * 5^5

5^(10+5)

5^15

Answer:

5 to the power of 15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because first it is 11, 12, after it is 13, and 14

: for 22, 23 and after 24

Answer:

B

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

V=4/3pi(r^3)

V=4/3pi(9^3)

V=3,054 inches^3

Hope this helps!!!!!!!!!

Step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Step-by-step explanation: