Finding Surface Area

Find the total surface area of the prism. Round to the nearest tenth.

Answer:

[tex]2(3x+5)+5(2x+2)[/tex]

[tex]6x+10+5\left(2x+2\right)[/tex]

[tex]6x+10+10x+10[/tex]

[tex]16x+20[/tex]

[tex]8(3x+2)+7(x+3)[/tex]

[tex]24x+16+7x+21[/tex]

[tex]31x+37[/tex]

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

Now we are given that ΔXYZ ≅ΔFED

So, the corresponding sides are equal and the corresponding angles are equal.

So, ∠Z= ∠D

So, 100=2y+10

100-10=2y

90=2y

45=y

Now XY = EF

So, 9 = 3x-12

21=3x

7=x

Hence The value of x is 7 and value of y is 45

Answer:

c 364

Step-by-step explanation:

this is the correct answer because the rest are lower answers

Answer:

the answer is 7% of 5,200.

Step-by-step explanation:

35% of 1000 is 350

10% of 375 is 37.5

07% of 5,200 is 364

and 50% of 640 (320) plus 25% of 160 (40) is 360

hope this helps!

Answer:

Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.

Step-by-step explanation:

1.  the vertex of the function:

f(x)= (x + 4)(x - 6) = x^2 - 2x - 24

x₀= 2/2= 1     y₀= 1^2 - 2*1 - 24= -25

(1; -25)

2.  the Graph is negative on the entire interval -4 < x < 6

Answer:

The vertex of the function is at (1,–25).

The graph is increasing only on the interval −4< x < 6.

Step-by-step explanation:

A and C on edg

Answer:

522

Step-by-step explanation:

For an n-sided polygon, with apothem a, and side s, the area is

A = ans/2

A = (12)(5)(17.4)/2

A = 522

Answer:600

Step-by-step explanation:

it’s the highest point

Answer:

B

Step-by-step explanation:

25x² - 144 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

25x² - 144

= (5x)² - 12²

= (5x + 12)(5x - 12) → B

Answer:

B) ( 5x + 12 ) ( 5x - 12 )

Step-by-step explanation:

Since we have options we could try expanding all of them out.

A) ( 12 + 5x ) ( 12 - 5x )

144 - 60x + 60x - 25x² = 144 - 25x²

That's not the answer we are looking for so we cross out "a" as an option

B) ( 5x + 12 ) ( 5x - 12 )

25x² - 60x + 60x - 144 = 25x² - 144

This is the answer which we are looking for so B is the answer

Answer:A. will be your answer

Step-by-step explanation:

By using the order of operations to find the value of the expression 2 + 3 × 16 − 2 × 21 − 3, we get; A. 5

The order is called BODMAS which stands for Bracket, Of, Division, Multiplication, Addition, Subtraction.

We need to use order of operations to solve the problem;

2 + 3 × 16 − 2 × 21 − 3

we will first carry out multiplication to get;

= 2 + 48 - 42 - 3

Next in addition to getting;

= 50 - 42 - 3

= 5

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Answer:

200 liters.

Step-by-step explanation:

To solve this, let's first set C in our equation to .7, since that is the concentration we are aiming for.

.7= [tex]\frac{(x+0.1(100))}{x+100}[/tex]

Next, we can simply this equation further:

.7= [tex]\frac{(x+10)}{x+100}[/tex]

We can multiply both sides by the denominator, resulting in:

.7x+70= x+10

Finally, continue simplifying to solve for x:

60= .3x

x= 200 liters.

The measurements of the angles ∠ABD and ∠ACD will be 34° and 34°. Then the correct option is C.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Then the arc AD is double of angle ∠ABD.

∠ABD = arc AD / 2

∠ABD = 68° / 2

∠ABD = 34°

Similarly, the arc AD is double of angle ∠ACD.

∠ACD = arc AD / 2

∠ACD = 68° / 2

∠ACD = 34°

Thus, the measurements of the angles ∠ABD and ∠ACD will be 34° and 34°.

Then the correct option is C.

More about the circle link is given below.

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Answer:

16

(0,17)

(0,8)

Step-by-step explanation:

i got it right

The length of the transverse axis is the distance between the vertices of the hyperbola. A focus of the hyperbola is a fixed point from which distances to any point on the hyperbola have a constant difference. A vertex of the hyperbola is where it intersects its transverse axis.

When analyzing graphs, it is crucial to understand the properties of the figures involved. In this case, we are discussing a hyperbola, which is a set of all points where the difference in the distances from two fixed points, called foci, is constant.

The length of the transverse axis of a hyperbola is the distance between its vertices. For an ellipse as shown in Figure 3.4 (b), the distance between the two vertices on the major axis is 2a, where a is the length of the semimajor axis. However, in the case of a hyperbola, the transverse axis would correspond to the axis that goes through the two vertices of the hyperbola.

A focus of the hyperbola is one of the two fixed points from which the difference in distances to any point on the hyperbola is constant. It is typically denoted as (h ± c, k) in the Cartesian coordinate system, where (h, k) is the center of the hyperbola and c is the distance from the center to each focus.

A vertex of the hyperbola is located at the point on the graph where the hyperbola intersects its transverse axis. This can be expressed as (h ± a, k) for a horizontal hyperbola or (h, k ± a) for a vertical hyperbola, where (h, k) is the center of the hyperbola and a is the length of the semimajor axis.

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Answer:

Step-by-step explanation:

Given

Length of the minute hand = 14 inches

Time = 1 hour

Required

Length of the path traced in 1 hour

For, the minute hand to have completer an hour, this means it completes a cycle;

1 cycle is equivalent to 1 complete rotation;

So, basically the question implies that; the circumference of the complete rotation be solved for;

To solve for this; we make use of the circumference formula;

[tex]C = 2\pi r[/tex]

Where

C represents the circumference

r represents the radius or the length of the minute hand

[tex]\pi = \frac{22}{7}[/tex] --- This is given from the question;

By substitution, we have

[tex]C = 2 * \frac{22}{7} * 14[/tex]

[tex]C = \frac{2 * 22 * 14}{7}[/tex]

[tex]C = \frac{616}{7}[/tex]

[tex]C = 88 inches[/tex]

Hence, the length of the path traced is 88 inches

Answer:

(-3, -4)

Step-by-step explanation:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

Although on observation, the minimum point of y occurs at (-3, -4), we can also confirm through the function.

The x-intercept of the parabola are -5 and -1.

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

[tex]x^2+5x+x+5=0\\x^2+6x+5=0[/tex]

The Vertex of the equation occurs at the axis of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

In [tex]f(x)=x^2+6x+5, a=1, b=6[/tex]

Axis of Symmetry, [tex]x=-\dfrac{6}{2}=-3[/tex]

[tex]f(-3)=(-3)^2+6(-3)+5=9-18+5=-4[/tex]

Therefore, we can confirm that the vertex is (-3,-4) as stated earlier.

Answer:

2 (c)

Step-by-step explanation:

The rate of change between 3 and 6 is 2 option (C) 2 is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A graph of a parabola is shown in the table:

The rate of change between 3 and 6:

= (4 - (-2))/(6-3)

= (4 + 2)/(3)

= 6/3

= 2

Thus, the rate of change between 3 and 6 is 2 option (C) 2 is correct.

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Answer:

160ft

Step-by-step explanation:

Answer:

  [-1, 1]

Step-by-step explanation:

Comparing each table value to the one before, we find the function to be increasing on the interval [-1, 1].

__

The graph in the second attachment shows that integer interval to be the only one where the function is increasing.

Answer:

-1,1

Step-by-step explanation:

time for learning

Answer:

The Answer is B

Step-by-step explanation:

Answer:

Both

Step-by-step explanation:

Answer:

$56.7

Step-by-step explanation:

For this, you need to find out the tip and the tax.

45 x .06 = 2.7

45 x .2 = 9

After you find out that, add them together and that will be the total cost.

45 + 2.7 + 9 = 56.7

Feel free to let me know if you need more help. :)

Answer:

Step-by-step explanation:

i don't know but i'll help u a little put the dots together for the first one then do it for the rest sorry if i didn't help u

Answer: Option B.

Step-by-step explanation:

We want to find the value of i^51

We know that

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

and it repeats with a period of 4, so i^5 = i^(1 + 4) = i^1= i, and so on.

so we can write it as:

x + n*4 = 51

where n is an integer number, and x is a number between 1 and 4.

clearly  n must be an odd number, so we can try:

if x = 1.

1 + n*4 = 51

n*4 = 50

n = 50/4 = 12.5

This is not the solution for x, because n must be an integer number.

Now suppose x = 3.

3 + 4*n = 51

4*n = 48

n = 48/4 = 12

Then x is equal to 3, this means that:

i^51 = i^3*i^4*12 = i^3 = -i

The correct option is B

Answer:

16  sq. units

Step-by-step explanation:

The formula for the area of a triangle:

If base and height are known as:

Then the area is:

Answer:

Your Y-Intercept should be -2

Step-by-step explanation:

You always need to look at where the line starts according to the coordinate when X = 0, or when the dot is in the very middle line.

Therefore, we can see that it starts at "down two", also known as "-2"

Answer:

it is 2

Step-by-step explanation:

to find the Y-intercept of a line, first u should find the slope intercept form

slope intercept form : y=mx+b

m=slope

b= y-intercept

first u should find the slope, so pick two points from the line and write them in a form of y2-y1/x2-x1

point 1: (1,0)

point 2: (2,2)

0-2/2-1=-2/1

m=-2

now pick one of the two points and replace it in the equation with the slope

0=-2(1)+b

solve for b

0=-2+b

add 2 on both sides

b=2

Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95

Answer:

Pool B has the greater circumference.

Step-by-step explanation:

Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.

We want to see which pool has a greater circumference.

The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:

[tex]C = 2\pi r[/tex]

where r = radius of the circle

So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.

The radius of pool A is 16 feet.

1 foot = 0.305 metres

16 feet = 4.88 metres

The radius of pool A in metres is 4.88 metres

CIRCUMFERENCE OF POOL A

[tex]C = 2 * \pi * 4.88 = 30.66 m[/tex]

CIRCUMFERENCE OF POOL B

[tex]C = 2 * \pi * 9.94 = 62.45 m[/tex]

As we can see, pool B has the greater circumference.

Answer:

Answer is on the picture below

Step-by-step explanation: the one that only says pool is pool B

Thank you! :)

Answer:

If circumference = 25, then 90 degrees (one quarter of a circle) = 25 / 4 = 6.25 meters.

Step-by-step explanation:

Answer:

20 ft

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal.

let h be the height of the tree, then

[tex]\frac{h}{5}[/tex] = [tex]\frac{32}{8}[/tex] = 4 ( multiply both sides by 5 )

h = 20

The height of the tree is 20 ft

The height of the tree that both triangles are similar to is 20 feet.

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

As per the given two triangles,

Let's say the height of the tree is h.

By similar triangle property

h/32 = 5/8

h = (5/8)32

h = 5 x 4 = 20 feet

Hence "The height of the tree that both triangles are similar to is 20 feet".

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Answer:

The area of the grass that died is 2,289.06 cm²

Step-by-step explanation:

In order to calculate the area of the grass that died, we need to calculate the area of the bottom of the trash can. Since it's a circular shape it's area is given by:

area = pi*r²

Where r = d/2, therefore:

r = 54/2 = 27 cm

Applying this data to the formula, we have:

area = pi*(27)² = 2,289.06 cm²

The area of the grass that died is 2,289.06 cm²