The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club sticker is ____ square inches.

Answer:A triangle ABC with positive integer side lengths has perimeter 35, centroid G, and incenter I. If ∠GIC=90∘, what is the length of AB¯¯¯¯¯¯¯¯?

We use barycentric coordinates with reference triangle △ABC. Letting k=a+b+c, we have the displacement vectors GI→=(13−ak,13−bk,13−ck) and IC→=(ak,bk,ck−1). EFFT gives us

a2(4b+c3k−13−2bck2)+b2(4a+c3k−13−2ack2)+c2(a+b3k−2abk2)=0

. Multiplying by 3k2, writing k=a+b+c, and expanding out, the equation turns into

a2((a+b+c)(3b−a)−6bc)+b2((a+b+c)(3a−b)−6ac)+c2((a+b)(a+b+c)−6ab)=0.

Expanding further and factoring an a+b+c out, we have

(a+b+c)((a+b)(4ab−a2−b2+c2)−6abc)=0.

Notice that when c=a+b the term (a+b)(4ab−a2−b2+c2)−6abc) vanishes, so we factor further to obtain

(a+b+c)(c−a−b)(a2+b2+c(a+b)−4ab)=0⟹a2+b2+c(a+b)−4ab=0⟹(a+b)2+c(a+b)=6ab⟹35(35−c)=6ab.

From the triangle inequality, we have c≤17 and we also know 6|35−c; it's now easy to find a triple (a,b,c)=(10,14,11) satisfying the equation above, and the answer is 11.

Hope this helps......

Answer: option 4) 15°, 30°, 135°

Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always

Answer:

4) 15°,30°,135°

Step-by-step explanation:

The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.

Answer #4 is correct because 15 + 30 + 135 = 180.

Answer:

Explained below.

Step-by-step explanation:

A standard abacus is a traditional method used to perform basic mathematical calculations, such as addition, subtraction, multiplication and division.

There are 5 rods on a standard abacus.

The shape of the abacus has a series of vertical rods on which a number of beads are placed.

Each bead on a particular rod is considered as 1 unit, i.e. if there are three beads on a rod, the value of that rod is 3.

The last rod on an abacus is for the unit's place, the second last rod is for the ten's place, the third last rod is for the hundredth's place, the fourth last rod is for the thousandth's place and the fifth rod is for the ten thousandth's place.

Answer:

its 60198.6

Step-by-step explanation:

use the formula present price=orginal price(1-rate/100)^years

Answer:

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

[tex] \frac{x}{5} [/tex]

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

[tex] \frac{x}{5} = x - 400[/tex]

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

Answer:

20

Step-by-step explanation:

they are asking you what divided by 100 is 5 and the answer is 20.

Answer:

34, 35, 36

Step-by-step explanation:

1st number = x

2nd number = x+1

3rd number = x+2

So the equation would be:

x+2(x+1)+(x+2)-7=133

x+2x+2+x+2-7=133

4x-3=133

4x=136

x=34

      Three consecutive numbers justifying the condition given in the statement will be 34, 35, 36.

Let three consecutive number are,

n, (n + 1), (n + 2)

First statement given,

" The sum of first number, twice the second number"

Expression for the statement → [n + 2(n + 1)]

Second statement → " 7 less than the third number"

Expression for the statement → (n + 2) - 7

Combine the expressions,

"The sum of first number, twice the second number and 7 less than the third number is 133"

Form the equation and simplify,

n + 2(n + 1) + (n + 2) - 7 = 133

n + 2n + 2 + n + 2 - 7 = 133

(n + 2n + n) + (2 + 2 - 7) = 133

4n - 3 = 144

4n = 136

n = 34

         Therefore, the numbers are,

                            1st number → n = 34

                            2nd number → (n + 1) = 35

                            3rd number → (n + 2) = 36

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Answer:

  H.  $12.50

Step-by-step explanation:

Misha wants 1 1/4 yards for each of two straps, for a total of 2 1/2 yards. The ribbon costs $5 per yard, so the total cost for the two straps is ...

  (2 1/2 yards)($5 /yard) = $12.50

Answer:

Hello!

______________________

Your answer would be (B)

Step-by-step explanation: Because it is all negative when you divide by the positive number.

Hope this helped.

The sign of the quotient of positive and negative decimals correct is (B)

We have determined which rule about the sign of the quotient of positive and negative decimals is correct.

A positive question is one that can be falsifiable, or put more simply, has a yes/no answer. Think of a positive question as a how is the world question.

The sign of the quotient of positive and negative decimals is correct Because it is all negative when you divide by the positive number.

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None of the ratios is valid implies no angle lies in quadrant 4.

Angles lie in quadrant 4. Without using a calculator, it is to determine which ratio is valid from the following 1) sin =0.789, 2) tan =0.573, 3) sin =-1.083 and 4) tan = 0.841.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in 4th quadrat only values of cos are positive other else operators tend to give negative value so,
1 ) sin = 0.789, here ratio is positive so it does not lies in quadrant 4.
2) tan = 0.573, it is also positive so it does not lies in quadrant 4.
3) sin = -1.083 this ratio is not possible because sin lies between (-1 to +1).
4) tan =0.841, it is also positive so it does not lie in quadrant 4.

Thus, None of the ratios is valid implies no angle lies in quadrant 4.

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Answer:

  x = 20%

Step-by-step explanation:

The area is the product of side lengths. If the original side is "a", then the one increased by 25% is ...

  a + 0.25·a = 1.25a

The one decreased by x is ...

  a -x·a = a(1 -x)

We want the area of the square to be the same as that of the rectangle, so we write an equation that says that, then solve for x.

  square area = rectangle area

  a^2 = (1.25a)(a)(1-x)

  1 = 1.25 -1.25x . . . . divide by a^2, eliminate parentheses

  1.25x = 0.25 . . . . . add 1.25x -1

  x = 0.25/1.25 = 0.20

  x = 20% . . . . . . expressed as a percentage

Answer:

For the first 3 questions, fill out exactly what you see in the picture. So, the first answer is [tex]9\sqrt{2}[/tex], the second one is x, and the third one is y. Now, since we know this is a 45 - 45 - 90 triangle, we can figure out all of the other sides. AB is the same as AC, so your answer for the fourth one question will be [tex]9\sqrt{2}[/tex]. The hypotenuse in a 45 - 45 - 90 triangle is a side times [tex]\sqrt{2}[/tex], so your last answer will be [tex](9\sqrt{2})(\sqrt{2}) = 18[/tex].

Answer:

The arc length is 185.39 meters.

Step-by-step explanation:

The arc length is calculated by the following expression:

[tex]\Delta s = \Delta \theta \cdot r[/tex]

Where:

[tex]r[/tex] - Radius, measured in meters.

[tex]\Delta \theta[/tex] - Central angle, measured in radians.

If [tex]r = 36.9\,m[/tex] and [tex]\Delta \theta =\frac{8}{5}\pi\, rad[/tex], the arc length, measured in meters, is:

[tex]\Delta s = \frac{8}{5}\pi\cdot (36.9\,m)[/tex]

[tex]\Delta s = \frac{8}{5}\cdot (3.14)\cdot (36.9\,m)[/tex]

[tex]\Delta s \approx 185.386\,m[/tex]

[tex]\Delta s \approx 185.39\,m[/tex]

The arc length is 185.39 meters.

Answer:

-x³ - 6x - 2

Step-by-step explanation:

We can either use long division or synthetic division to help us divide this. You could also factor to get your answer.

Answer:

h = 40°

Step-by-step explanation:

These 2 angles are congruent due to the Corresponding Angles Theorem.

Answer:

40°

Step-by-step explanation:

The lines are parallel. We know this because of the 2 arrows that are on the lines, indicating they are parallel.

Therefore, the 2 angles are congruent by the Corresponding Angle Theorem.

So, we can set the 2 angles equal to each other.

40=h

Therefore, angle h is 40 degrees.

To estimate round each number to the closest whole number

7.8 would round to 8

307 would round to 300

8 x 300 = 2400

The answer would be c 2400

Answer:

C.2400

Step-by-step explanation:

~To estimate you would have to first do 7.8 × 307 which equals 2394.6.

~Then you would look at the answer choices and since 2400 is the closest the answer would be C.

Answer:

 I think its D?

         Hope this helped!

Answer:

D is the right ans

Step-by-step explanation:

if i write step by step it will take a long time so quick

Answer:

D.

Step-by-step explanation:

Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have: [tex]x^2-8x-9[/tex]. We can factor this.

[tex]x^2-8x-9=(x-9)(x+1)[/tex]

(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).

Now, let's simplify the denominator. The denominator is:

[tex]5x^2-45x=5x(x-9)[/tex]

Thus, all together we will have:

[tex]\frac{(x-9)(x+1)}{5x(x-9)}[/tex]

We can cancel the (x-9) term. Thus:

[tex]=\frac{x+1}{5x}[/tex]

Answer: 2.6 for the first one

Step-by-step explanation:

First absolute deviation: 1 6 5 8 3 7 1 4 10 9

Solve using the formula and get 2.6

For the second one I do not understand the digits. Therefore I cannot solve it.

I am very sorry, please forgive me

The mean absolute deviation of the data is M = 2.6

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the total number of points be n

Now , the value of n = 10

And , the number of points on each data is given by set A

Now , the value of set A = { 1 , 6 , 5 , 8 , 3 , 7 , 1 , 4 , 10 , 9 }

So , the total sum of data = 1 + 6 + 5 + 8 + 3 + 7 + 1 + 4 + 10 + 9

The total sum of data = 54

Now , the mean number of data points = 54 / 10 = 5.4

And , the mean deviation is M

M = 1/10 | [ ( 1 - 5.4 ) + ( 6 - 5.4 ) + ( 5 - 5.4 ) + ( 8 - 5.4 ) + | ( 3 - 5.4 ) | + ( 7 - 5.4 ) + ( 1 - 5.4 ) + ( 4 - 5.4 ) + ( 10 - 5.4 ) + ( 9 - 5.4 ) |

M = ( 1/10 ) [ 4.4 + 0.6 + 0.4 + 2.6 + 2.4 + 1.6 + 4.4 + 1.4 + 4.6 + 3.6 ]

M = ( 1/10 ) [ 26 ]

M = 2.6

Therefore , the value of M is 2.6

Hence , the mean deviation is 2.6

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Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

hope this helps!

Answer:

x intercept - The plumber drained all the water out after 9 hours.

relative maximum or minimum -The amount of water reached 70 liters before the draining began.

Increasing or decreasing interval - Over the first 5 hours, the leak just got bigger and bigger.

Step-by-step explanation:

Khan  :))))

x intercept is The plumber drained all the water out after 9 hours.

relative maximum or minimum -The amount of water reached 70 liters before the draining began and Increasing or decreasing interval is Over the first 5 hours, the leak just got bigger and bigger

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that Dina discovered a water leak in her basement and called a plumber to fix and drain it

W(t) the amount of water in the basement (in liters) t hours since the leak began

x intercept - The plumber drained all the water out after 9 hours.

relative maximum or minimum -The amount of water reached 70 liters before the draining began.

Increasing or decreasing interval - Over the first 5 hours, the leak just got bigger and bigger.

Hence, x intercept is The plumber drained all the water out after 9 hours.

relative maximum or minimum -The amount of water reached 70 liters before the draining began and Increasing or decreasing interval is Over the first 5 hours, the leak just got bigger and bigger.

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Answer:

dudes buggin its c he got the right answer but he didnt match with the right answer choice

Step-by-step explanation:

fshhhst

Answer:

It is D= 5 hours per day

Step-by-step explanation:

Why I say that is because 15/3 = 5 that is the same as saying 5 x 3 which is 15

so then if you do 15 x 5 you get 75 therefore your answer would be

= 5 hours per day

Answer:

The claim made by Mar's is correct.

Step-by-step explanation:

In this case we need to test whether M&M Mars Co.'s claim about the proportion of different colored M&Ms in a small bag is correct or not.

The hypothesis is:

H₀: The claim made by Mar's is not correct.

Hₐ: The claim made by Mar's is correct.

The proportions claimed are as follows:

Orange: 20%

Green: 16%

Blue: 24%

Other: 40%

A sample of 35 M&M's are selected.

The observed frequencies are:

Observed = {O = 4, G = 8, B = 5 and Ot = 18}

Compute the expected frequencies as follows:

[tex]E(O)=4\times 20\%=0.80\\\\E(G) = 8\times 16\%=1.28\\\\E(B)=5\times 24\%=1.20\\\\E(Ot)=18\times 40\%=7.20[/tex]

Compute the Chi-square statistic as follows:

[tex]\chi^{2}=\sum[\frac{(O-E)^{2})}{E}][/tex]

    [tex]=[\frac{(4-0.80)^{2}}{0.80}]+[\frac{(8-1.28)^{2}}{1.28}]+[\frac{(5-1.20)^{2}}{1.20}]+[\frac{(18-7.20)^{2}}{7.20}]\\\\=12.80+35.28+12.03+16.20\\\\=76.31[/tex]

The Chi-square test statistic value is 76.31.

The degrees of freedom of the test is:

df = n - 1

   = 4 - 1

   = 3

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{0.05,3}<76.31)<0.00001[/tex]

The p-value < 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, concluding that the claim made by Mar's is correct.

Answer:

(B)the amount earned is a function of the number of hours worked.

Step-by-step explanation:

Let the time worked (in hours) worked =t

Let the amount earned =A

From the graph

When t=1, A= $10

When t=2, A= $20

When t=3, A= $30

When t=4, A= $40

When t=5, A= $50

We observe that as t increases, the amount increases.

We can, therefore, conclude that the amount earned is a function of the number of hours worked.

Answer:

See below.

Step-by-step explanation:

13. D

Simply subtract. 85376 - 37793 = 47583.

14. C

[Something] - 32497 = 26348

Add 32497 to both sides:

[Something] - 32497 + 32497 = 26438 + 32497

[Something] = 58845

15. C

Compute each difference:

A: 51455 - 26478 = 24977

B: 49351 - 15274 = 34077

C: 63286 - 37439 = 25847

(D: 46307 - 21550 = 24757)

16. B

Simply subtract:

143864 - 112955 = 30909

17. A

First, find the difference:

85732 - 39864 = 45868

Only 45798 (A) is less than 45868.

(Note that B is equal to, not less than).

18. C

Subtract:

45932 - 29574 = 16358.

19. B

Subtract:

96834 - 31727 = 65107 - 12156 = 52951

20. C

27301 - 12352 - [Something] = 7356

14949 - [Something] = 7356

Add [Something] to each side:

14949 = 7356 + [Something]

Subtract 7356 from each side.

7593 = [Something]

Note: Do you need help with subtraction specifically? These questions can be solved with simply with a calculator, but perhaps that is not the intention here. Anyways, I recommend using Khan Academy to improve your arithmetic skills if necesary.

Answer:

(-2,-3) and (2,-3).

Step-by-step explanation:

It is given that x ∈ {-2, 0, 2} and y ∈ {-3, -1, 0, 3} .

The given equation is

[tex]y=1-x^2[/tex]

At x=-2,

[tex]y=1-(-2)^2=1-4=-3\in y[/tex]

At x=0,

[tex]y=1-(0)^2=1-0=1\notin y[/tex]

At x=2,

[tex]y=1-(2)^2=1-4=-3\in y[/tex]

Therefore, the solution of given equation are (-2,-3) and (2,-3).

Answer:

Yes

Step-by-step explanation:

Estimated difference > Actual difference. Hence, 1000 is the approximate answer. 2. We can estimate the product and quotient of numbers by rounding off the numbers to the greatest place.

Answer:

since 3x^2-7x+4=0 is in the form ax^2+bx+c=0, a=3, b=-7, c=4

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

Answer:

QR = 6.8

XZ = 16.25

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

7.2         QR

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

18           17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2          6.5

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

18           XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

Answer:

(4, -1) is not a solution to the system

Step-by-step explanation:

The first point: (4,-1)  doesn't satisfy the first inequality:

[tex]y>x-5\\(-1) > 4-5\\-1>-1[/tex]

since we get to an absurd, because -1 cannot be strictly smaller than -1!