Identify the domain of the function shown in the graph.
10-
8
8
4
2
-8-8-4
-2
-2-
2
4
8
8
10 12
4
-B
-8
-10

Answer:

X = 10.7

Step-by-step explanation:

25^2 - 16^2 = 369 which squared is approximately 19.2. We need X which is the smaller side so we minus 22^2 from 19.2^2 which is 115.36 which is squared to 10.7

Answer:

Step-by-step explanation:

2 surfaces that are 5x7

2 surfaces that are 4x7

and the top and bottom that are 4x5

2*5*7 = 70

2*4*7 = 56

2*4*5 = 40

total surface is 166 [tex]cm^{2}[/tex]

Answer:

166 square centimeters

Step-by-step explanation:

Surface area of a rectangular prism can be found by finding the area of each of the six surfaces of the prism. Remember that opposite sides on a rectangular prism are equal to each other, as they have the same side lengths. Because of this, the equation for surface area can be described as: 2lw + 2lh + 2wh. In this case, the length l is represented by 5cm, the width w is 4cm, and the height h is 7 cm. Now you can solve for the surface area:

SA = 2lw + 2lh + 2wh

SA = 2(5 x 4) + 2(5 x 7) + 2(4 x 7)

SA = 2(20) + 2(35) + 2(28)

SA = 40 + 70 + 56

SA = 166

Recall that units of area are given as square units, and the measure of this rectangular prism is given in centimeters. The answer is then given in square centimeters.

SA = 166 square centimeters

Answer:

( + 2 ) ( + 4 )

Step-by-step explanation:

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)

To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3

To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)

To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).

Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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

[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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

[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

Answer:

42.85 units

Step-by-step explanation:

Since the circle is linked to the equilateral triangle, then the diameter of the circle is 12. Therefore r = 6.Then, the perimeter of the resulting figure is:P = 6 * pi + 12 +12 = 42.85 Units.

Answer:

in the first traingle

sinC = 36/39 = 12/13

CosC= 15/39 = 5/13

TanA= 15/36=5/12

this is the values i didnt understand the question so i just find the values

in the second Triangle

SinA=2√5/5

CosA=√5/5

TanB= √5/2√5=1/2

cos 30 = √3/2

sin45=√2/2

tan60= √3

hopefully its helpful iam sorry i didnt understand what they mean in the question my engilish is bad

Sin of c. Sin'-1(36/39)=90

Cos of c cos'-1(15/39)=67.38

Tan of a tan'-1(15/36)=22.62

Sin of a sin'-1(2squarroot5/5)=63.43

Cos od a cos'-1(squareroot5/5)=63.43

Tan of b tan'-1(2squareroot5/squareroot5)=63.43

Cos30 is pie/6 or squareroot of 3 /2

Sin of 45 is pie/4 or squareroot2/2

Tan60 is pie/3 or squareroot3

Answer:

simple interest

Step-by-step explanation:

An additional amount of money added to borrowed money only on the principal could be simple interest.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.

we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.

Learn more about simple interest here:

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Answer:

160100

Step-by-step explanation:

162,000-1900=160100

Answer: not a solution

Step-by-step explanation:

plug it into the inequality

8 < 13 - 5

8 < 8

it is not true because 8 is not less than 8

therefore it is not a solution

Answer:

The final answer is 1/18

Step-by-step explanation:

1/3 x 1/2 x 1/3 = 1/18

Answer:

The numerator factors to

[tex](x + 2)(x - 1)[/tex]

The denomenator factors to

[tex](x + 4)(x - 1)[/tex]

Answer:

46.4

Step-by-step explanation:

58x0.20 = 11.6

58-11.6= 46.4

hope this helps

Answer:

Q 1)

a) No of sheep = 480

b) 8 : 11

c) 11 : 3

Q 2)

Each person will receive: $360,000, $270,000 and $180,000

Step-by-step explanation:

Ratio of sheep to cattle = 8 : 3

Let the number of sheep be 8x

And number of cattle be 3x

a)

No of cattle = 180 (Given)

Therefore,

3x = 180

x = 180/3

x = 60

Therefore, 8x = 8*60 = 480

No of sheep = 480

b)

Total animals = 180 + 480 = 660

Ratio of sheep to the total number of animals

= 480 : 660

= 8 : 11

c)

Ratio of total animals to the number of cattle

= 660 : 180

= 11 : 3

Q 2) Let each person will receive 4x, 3x and 2x dollars.

Therefore,

4x + 3x + 2x = 810,000

9x = 810000

x = 810000/9

x = 90,000

Therefore,

4x = 4*90,000 = $360,000

3x = 3*90,000 = $270,000

2x = 2*90,000 = $180,000

So, each person will receive $360,000, $270,000 and $180,000.

Answer:

124

Step-by-step explanation:

a straight line is 180 degree so add both angles

w+8+48=180

w=124

Answer:

B, C

Step-by-step explanation:

Answer:

It is:

B.Divide the area of the triangle by the base and multiply the result by 2.

Answer:

Traveling 300 feet below sea level = -300

Getting paid 100 dollars = +100

[tex] |301| = 301[/tex]

[tex] | - 4| = 4[/tex]

Answer:

Options-2

Option-4

Step-by-step explanation:

two options have Volume greater than 100 units³

remember the formula of Volume of rectangular prism

given that,

thus substitute:

simplify multiplication:

since 144>100 it's one of our answer

remember the formula of triangular prism

given:

Thus substitute:

simplify multiplication:

since 144>100 it's our answer

the other options don't satisfy the condition

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The two figures that will have a volume greater than 100 cubic units are:

A rectangular prism with dimensions of 2 by 12 by 6

Volume = length x width x height

= 2 x 12 x 6

= 144 cubic units

A cube with a side length 4

Volume = side x side x side

= 4 x 4 x 4

= 64 cubic units

Therefore,

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

Learn more about Prism here:

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Answer:

Around 9 percent interest

Step-by-step explanation:

Took me a while but its exactly 9.0111 with a little extra decimal numbers too. Big moneys

Answer:

can you post a pic pls

Step-by-step explanation:

=============================================================

Explanation:

You subtract the arc measures, and then divide the result in half.

The order of subtraction is larger arc minus smaller arc.

Angle ABC = ( (arc AC) - (arc DE) )/2

Angle ABC = (90 - 40)/2

Angle ABC = 50/2

Angle ABC = 25 degrees

Side note: segments AB and BC are considered secant segments.

The next section will go into a more in-depth look. The next section is optional.

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

Alternative Method:

Refer to the diagram below. I've added points D and E to the diagram.

Based on those points, let

Note how inscribed angle CAB subtends the arc CED. The measure of arc CED is 40+x. Half this is (40+x)/2, which is the measure of inscribed angle CAB. Through similar logic, inscribed angle ACB is (40+y)/2.

Also, note how the four arc pieces of the full circle are: AC = 90, EC = x, DE = 40, and AD = y.

The four arc pieces must add to 360 as they form a full circle

AC+EC+DE+AD = 360

90+x+40+y = 360

x+y+130 = 360

x+y = 360-130

x+y = 230

y = 230-x

From this, we can rewrite the expression for inscribed angle ACB

angle ACB = (40+y)/2

angle ACB = (40+230-x)/2

angle ACB = (270-x)/2

Now because the interior angles of a triangle must add to 180, we can then use this fact to find angle ABC

(angle ABC) + (angle CAB) + (angle ACB) = 180

angle ABC = 180 - (angle CAB) - (angle ACB)

angle ABC = 180 - (40+x)/2 - (270-x)/2

angle ABC = 180 - 40/2 - x/2 - 270/2 + x/2

angle ABC = 180 - 20 - x/2 - 135 + x/2

angle ABC = 25 degrees

Ultimately the x terms cancel out when we combine the -x/2 and +x/2 together.

Answer:

4.5

Step-by-step explanation:

13.5 - 9 = 4.5

18 - 13.5 = 4.5

22.5 - 18 = 4.5

Answer:

The width of the new phone will be of 4.37 inches.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In this question:

Length was of 2.2 inches, after the modification is of 2.09 inches.

Width was of 4.6 inches, after the modification is x. So

2.2 - 2.09

4.6 - x

Applying cross multiplication:

[tex]2.2x = 2.09*4.6[/tex]

[tex]x = \frac{2.09*4.6}{2.2}[/tex]

[tex]x = 4.37[/tex]

The width of the new phone will be of 4.37 inches.

Answer:

48 km.

Step-by-step explanation:

Multiply 6 and 8, you get 48.