why is it important to break down the radical into its prime factor?

Answer:

angle CBD=125

Step-by-step explanation:

(8x-41)+(9x+17)=180

17x -24 = 180

17x=204

x=12

9(12)+17=125

Answer:

125

Step-by-step explanation:

The two angles from a straight line so they add to 180

ABC + CBD = 180

8x -41+ 9x+17 = 180

Combine like terms

17x -24 = 180

Add 24 to each side

17x -24+24 = 180 +24

17x = 204

Divide by 17

17x/17 = 204/17

x =12

We want angle CBD

CBD = 9x+17

        = 9*12+17

       =108+17

        = 125

Answer:

- 7x

Step-by-step explanation:

Given

(x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) - 4(x - 3) ← distribute both parenthesis

= x² - 3x - 4x +  12 ← collect like terms

= x² - 7x + 12

with middle term = - 7x

Answer:

Step-by-step explanation:

= x(x-3) - 4(x-3)

= x²-3x - 4x + 12

= x² -7x +12

So -7x is the middle term

Answer:

asDawas

Step-by-step explanation:

sadasda

Answer: -28, -17, 22.4, 27

hope this helps

Answer:

y= x^2 + 6

Step-by-step explanation:

y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2.  For y= x^2 +  6, h = 0 and k  = 6.  Thus the vertex is (0, 6)

Answer:

x=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

6.5      (6.5+6.5)

------ = -----------------------

5              x

6.5      (13)

------ = -----------------------

5              x

Using cross products

6.5x = 65

Divide by 6.5

6.5x/6.5 = 65/6.5

x = 10

Answer:

The answer is C:2 and 23

Step-by-step explanation:

Answer:

U have told the answer in the ques. then why r u asking question.

U know the answer already...

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

After adding all the sides' together, you get 6,000 square mm.

Answer:

8110

Step-by-step explanation:

80+80+50+50=260

3.14(50)²=7810

7810+260=8110

Step-by-step explanation:

1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]

2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].

Answer:

8, 11, 19, 1, 6, 18, 3

Step-by-step explanation:

8+11+19+1+6+18+3=66

You posted a lot of questions. I'll do the first four problems to get you started.

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

Problem 1

This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14

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

Problem 2

This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.

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

Problem 3

Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82

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

Problem 4

Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27

Answer:

24 kg

Step-by-step explanation:

40/5 = 8 and 3x8 = 24

Answer:

24 kg

Step-by-step explanation:

[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]

See the attached picture:

Answer:

I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.

Step-by-step explanation:

If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)

Hope this helps!!

Answer:

The Sun heats the surface

Warm air rises into the upper atmosphere

Water Vapors condenses to the surface

Water droplets freeze

Ice and water droplets fall.

Step-by-step explanation:

Clouds are formed when invisible water vapors condenses into air and droplets or ice crystals are formed. Water enters into the air through evaporation process. The are few necessary steps for storm formation. The sun heats the surface of the earth and warm air rises into the upper most atmosphere where temperature is lowered. Water vapors condenses from the surface and rises to the upper atmosphere water droplets freeze in upper atmosphere because of reduce temperature and then ice or water droplets fall.

Answer:

The Sun heats the surface

Warm air rises into the upper atmosphere

Water Vapors condenses to the surface

Water droplets freeze

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Answer:

[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]

Step-by-step explanation:

According to the trigonometric ratios in aright triangle :

[tex]\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}[/tex]

Given:  ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T                            ...(i)    [Middle letter]

In triangle STR

[tex]\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63[/tex]  ...(ii)

From (i) and (ii), we have

[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

Answer:

3.04 is the correct answer =)

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

we have two point ( 0,0) and ( 3,1)

   = ( 1-0)/( 3-0)

   = 1/3

Answer:

2 Candy bars

6 Mints

7 Gum

Step-by-step explanation:

Candy bars=x

mints=3x

gum=3x+1

10(x)+3(3x)+6(3x+1)=80

10x+9x+18x+6=80

37x=80-6

37x=74

x=2

SO:

cand bars = x = 2

mints = 3x = 6

gum = 3x+1 = 7

Answer:

2 candy bars, 6 mints, and 7 packages of gumm

Step-by-step explanation:

Answer:

A. (-2,-4)

Step-by-step explanation:

If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)

You can stop here because only A has the x value as -2.

If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.

Answer: 12

Step-by-step explanation:

Order requirement:

Size ; flavor and topping

Available variety:

Size = 2

Flavor = 1

Toppings = 6

Number of different ice-cream desserts which can be ordered :

Since one of each of size, topping and flavor must be selected :

(Number of available flavors * number of Toppings available * number of sizes available)

1 * 6 different Toppings = 6 varieties

6 varieties * 2 different sizes = 12 varieties

Therefore, there are 12 different variety of ice-cream dessert she can order.

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and [tex]acr(GI)=128^{\circ}[/tex]. So,

[tex]\angle GOI=128^{\circ}[/tex]

[tex]\angle GOI+\angle GOH=180^{\circ}[/tex]          (linear pair)

[tex]128^{\circ}+\angle GOH=180^{\circ}[/tex]

[tex]\angle GOH=180^{\circ}-128^{\circ}[/tex]

[tex]\angle GOH=52^{\circ}[/tex]

Using central angle theorem of a circle, we get

[tex]\angle HIG=\dfrac{\angle GOH}{2}[/tex]

[tex]\angle HIG=\dfrac{52^{\circ}}{2}[/tex]

[tex]\angle HIG=26^{\circ}[/tex]

Therefore, the measure of angle HIG is 26 degrees.

Answer:

Mean

Step-by-step explanation:

The numbers have a very large range. So you should use the mean(or average) to get more accurate data.

Answer:

1. 5²

2. 6p⁵

3. y⁶

4. 1/5w²

5. n⁶/9p⁷

7. 12²

8. 2/5

Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer:

[tex]\boxed{Shortest\ Leg = 5}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg

=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg  (Tan 60 = √3)

=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]

=> Shortest Leg = 5

Answer:

point D

Step-by-step explanation:

moving 270 degrees clockwise from point R would result in the point being in quadrant I

point D is the only point in quadrant I

Answer:

15 pupcakes

Step-by-step explanation:

Purple is 1 out of 4 sections

1/4  times the number of total pupcakes

1/4 * 60

15

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

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]

As you can see, we get the same result and note how 1320/6 is also present as well.

The greatest number of different 3-person teams that can be chosen is 220.

We can use combinations for this case,

The Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Consider the set {A,B,C}.

3*2*1 = 6 ways to arrange this set of letters.

When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.

We can use the combination formula with n = 12 and r = 3.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]

1320/6 = 220

Thus, the greatest number of different 3-person teams that can be chosen is 220.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Answer:

X<=5 and you would graph it with a closed dot on five and an arrow going left of it.

Step-by-step explanation:

Answer:

[tex]a<5\\\\a\in R[/tex]

Step-by-step explanation:

In several ways, for example, let:

[tex]a[/tex], an arbitrary constant, where:

[tex]a\in R[/tex]

Besides:

[tex]a< 5[/tex]

Because the number can be greater than five.

Therefore, the graph, would be all number over the interval:

[tex](-\infty, 5)[/tex]

As you can see, all numbers bellow the line [tex]y=5[/tex].