math geometry (10 points)

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

Answer:

A.

[tex] \sqrt{x } \div 2[/tex]

is the answer

The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].

Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.

The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]

Calculating the expression we get,

[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]

So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].

Hence the correct option is (A).

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Answer:

19/40

Step-by-step explanation:

mark meeeeeee

Answer:

La verdad Nose la respuesta espero que alguien te ayude

Answer:

[tex]x_{M}[/tex] = - 1

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints , that is

[tex]x_{M}[/tex] = [tex]\frac{4-6}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream is needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

lemme know if it helped <3. and lemme me know if it's right :) .!

Answer:

The answer would be A

Step-by-step explanation:

Answer:

he arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence

Step-by-step explanation:

In an arithmetic sequence,

a_1=2a

1

=2

a_i=a_{i-1}-3a

i

=a

i−1

−3

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

a_i=a_{i-1}+da

i

=a

i−1

+d ...(i)

Where, d is the common difference.

We have,

a_i=a_{i-1}-3a

i

=a

i−1

−3 ...(ii)

On comparing (i) and (ii), we get

d=-3d=−3

The sum of first i terms of an arithmetic sequence is:

S_i=\dfrac{i}{2}[2a+(i-1)d]S

i

=

2

i

[2a+(i−1)d]

Putting i=335,a=2,d=-3i=335,a=2,d=−3 , we get

S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)]S

335

=

2

335

[2(2)+(335−1)(−3)]

S_{335}=\dfrac{335}{2}[4+(334)(-3)]S

335

=

2

335

[4+(334)(−3)]

S_{335}=\dfrac{335}{2}[4-1002]S

335

=

2

335

[4−1002]

S_{335}=\dfrac{335}{2}(-998)S

335

=

2

335

(−998)

On further simplification, we get

S_{335}=335\times (-499)S

335

=335×(−499)

S_{335}=-167165S

335

=−167165

Therefore, the sum of the first 335 terms in the given sequence is -167165.

Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

Answer:9/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

k=8÷16=0.5

s=0.5×3=1.5

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

Answer:

Answer is Triangle P'R'Q' is larger, explain how you know is steps

Step-by-step explanation:

So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5

So triangle PRQ is the smaller version of P'R'Q' because

Line PR  = 3.1

Line RQ = 3.9

Line QP = 5

Multiplying these by 1.5 you get

Line P'R' = 4.65

Line R'Q'= 5.85

Line Q'P' = 7.5

Answer:

It equals 2900 decigrams

Step-by-step explanation:

29 dekagrams = 290 grams

290 grams = 2900 decigrams

Therefore, 29 dekagrams = 2900 decigrams

The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.

To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.

Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:

[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]

Cross-multiplying:

[tex]\(29x = 290 \times 1\)[/tex]

Solving for x:

[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]

Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.

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Complete Question:

If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?

Answer:

(c) y = 3x - 16 or y - 2 = 3(x - 6)

Step-by-step explanation:

To be perpendicular, the slope must be the negative inverse of the other line,

so we know the slope must be -(-3/1) = 3

then the general point-slope form is

y = mx + b (m = slope and b = y-intercept) so

y = 3x + b (then use the point given (6,2) to find m)

2 = 3(6) + b

2 = 18 + b

2 - 18 = b

-16 = b

then

y = mx + b

y = 3x - 16

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

Answer:

6.211=( 6.21×100) (1×100) =621100

Hope that helped you

Answer:

70.5°

Step-by-step explanation:

cos x = (20²+18²-22²)/2(20)(18)

= (400+324-484)/720

= 240/720

= 1/3

so, X = arc cos ⅓ = 70.5°

Answer:

If a equals 3 then the answer should be 3b

Step-by-step explanation:

Answer:

a+b=a

or,3+b=3(a=3)

or,b=3-3

or,b=0

b=0 Ans

[tex]\\ \rm\longmapsto x-5=41[/tex]

[tex]\\ \rm\longmapsto x=41+5[/tex]

[tex]\\ \rm\longmapsto x=46[/tex]

Hence

[tex]\\ \rm\longmapsto 45<x<47[/tex]

Answer:

$46,571.67

Step-by-step explanation:

if your description is right and complete, she sold cars on the first 2 days as average for $46975.

and on the third day for $45765

to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).

how do we get the total sales ?

we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950

as the average of these 2 days = (day1 + day2)/2

46975 = (day1 + day2)/2

day1 + day2 = 2×46975 = 93950

it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.

so, we have in total

$93950 on the first 2 days

$45765 in the third day

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

$139715 for all 3 days

the average per day is then

139715 / 3 = $46,571.67

Answer:

3.902.

Step-by-step explanation:

3. 9015:

The 10 thousandth digit is 5 so you round up the 1 to 2.

A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)

-10.40 is a withdrawal

8.50 is a deposit

Answer:

Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.

-10.40

See there is a negative sign. This means it is a withdrawal

8.50

See there is a positive sign. This means it is a deposit

I'm not sure if this is what you meant - 3.12.5.8.6.6, but I'm operating based on that

mean - 6.7

median - 6

mode - 6

range - 9

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

The possible value of the other number will be 7√32. The correct option is D.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

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Answer:

Let speed of slower car be xkm/h

Therefore rate of other car=x+20 km/h

After 4 hrs ,

Distance covered by Car A=4x

Distance covered by Car B=4x+80

4x+4x+80=760km

8x=680

x=45

The rate of the slower car=45km/h