how many toothpicks will be required to make the fith row ?

Answer:

Step-by-step explanation:

2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)

1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4

The answer is going to look a little convoluted but it should be correct.

The answer so far is sqrt(3) /4

sin(60) = sqrt(3)/2    

of the 4, two is needed to get sqrt(3)/2

So far then we have sin(60)/2

If we multiply by 2 as in (sin(60)/2) we get just sin(60)

2* sqrt(3) /4 then  = 2 sin(60)

Answer:

1

Step-by-step explanation:

so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.

hope this helps

Answer:

1

Step-by-step explanation:

(8/8) = 1                                 (4/8) = half                       (0/8) = 0

                                   (5/8) = a bit more than half, so is closer to 1

5/8≈1

Answer:

    9516

      x51

    9516 (first multiply by 9561 by 1)

47580  (second multiply 9561 by 5)

485316 (add two result.)

Step-by-step explanation:

-8x + 44 > 60

-8x > 60 - 44

-8x > 16 / : (-8)

x < -2

-4x + 50 < 58

-4x < 58 - 50

-4x < 8 / : (-4)

x > -2

Answer:

Yes, the set of points is a function.

Step-by-step explanation:

A function only passes through any given y value once. None of the y values (the second number in the form (x, y)) are the same, so the set of points is indeed a function.

Answer:

Step-by-step explanation:

I hope this is helpful.

Answer:

i guess it's and is zero (0

Answer:

a.1.17809725 rad

b.1.57079633 rad

c.3.14159265 rad

d.0.785398163 rad

e.1.83259571 rad

f.100.530965 rad

Answer:

a. 1.17809725 rad

hope its help

#CarryOnLearning

Step-by-step explanation:

Solution:

Here,

C.P.=Rs 500

Profit=Rs 170

Now,

S.P.=C.P.+Profit

=Rs 500+170

=Rs 670

Keep smiling and hope u r satisfied with my answer.Have a great day :)

Answer:

(a) 3,11,19,27,35

(b) 5,9,13,17

Step-by-step explanation:

For (a), the rule is +8 for every term and for (b) the rule is +4 for every term.

Answer:

40

Step-by-step explanation:

it would be first bodmas so

(15) /3 * root 64

5 * root 64

5*8

40

Answer:

The answer is 40

Step-by-step explanation:

(11+4)÷3×√64

= (11+4)÷3×8

= 15÷3×8

= 5×8

= 40

Answer:

Step-by-step explanation:

Có: 7(x+y+z)=5

=>x+y+z = 5/7 (1)

Lại có:

+) y(x+y+z)=9

=>y×5/7=9

y=9: 5/7

y=63/5 (2)

+) x(x+y+z)=-5

=>x×5/7=-5

x=-5:5/7

x=-7 (3)

Từ (1);(2) và (3) => -7+63/5+z =5/7

=>28/5+z=5/7

=>z=-171/35

Vậy ....

Can't see full image

Answer:

28:12

Step-by-step explanation:

When we take 7 and 3 and multiply them both by 4 we get 28 and 12.

hope this helps!

Answer:

Step-by-step explanation:

z = 102 degree (opposite angles of a parallelogram are equal)

z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)

102 + x + 34 = 180

x = 180 - 136

x = 44 degree

y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)

y + 102 + 44 = 180

y = 180 - 146

y = 34 degree

Answer:

x = 44°, y = 34°, z = 102°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent , then

∠ z = 102°

Consecutive angles are supplementary , then

x + 34° + 102° = 180°

x + 136° = 180° ( subtract 136° from both sides )

x = 44°

∠ y = 34° ( alternate angle

[tex](\dfrac{1}{3})^4=\dfrac{1^4}{3^4}=\dfrac{1\cdot1\cdot1\cdot1}{3\cdot3\cdot3\cdot3}=\boxed{\frac{1}{81}}[/tex]

Answer:

∠DBC

Step-by-step explanation:

Since ∠ABD shares the same vertex and side with ∠DBC, then they are adjacent angles.

Answer:

1

Step-by-step explanation:

you should remove 8 out of 10 then 2 will remain

then add negative 5 to both sides then we will left with -3x = -3

divide -3 on both sides we find x = 1

Answer:

x=1

Step-by-step explanation:

-3x + 5= -8 + 10​

Combine like terms

-3x+5 = 2

Subtract 5 from each side

-3x+5-5 = 2-5

-3x = -3

Divide by -3

-3x/-3 = -3/-3

x =1

Answer:

I think it -2 then -7

The answer would be 6.00%

Answer:

C

Step-by-step explanation:

First of all it's not that you aren't very good at math it's just that you don't YET understand the concepts,... Believe me when I say that I've been there!!!

To solve this problem you have to look at it as a solve for the unknown problem,... They say that The FORMULA (important) is the following:

S = Ar

This can be written:

S = A * r

They then say that

S = sales tax,

A = cost of the product

r = local sales-tax rate,...

THEN they start giving you information,... they say the COST of a television (cost of the product) is $400 dollars you can now enter this info in you formula,... A = cost of product,... so switch the letter with the assigned info,...

S = $400 * r

...and the sales tax is $24 dollars,... S stands for sales tax so switch the variable for the dollar amount,...

$24 = $400 * r

Now you just have to solve the equation (figure out $400 * what = $24) and easy way to do this is to simply divide $24 by $400,...

$24/$400=0.06,...

0.06 = 6.0% = 6.00%

Hope I helped, You can learn anything!,... Me out,... Chow,...!

Answer:

-11/20

Step-by-step explanation:

Answer:

d= 4

Step-by-step explanation:

41 = 12d - 7

41 + 7 = 12d

48 = 12d

48 ÷ 12 = 12d ÷ 12

4 = d

Answer:

d = 4

Step-by-step explanation:

hope this helps

It does equal to +3

explanation = -(-3) = -1×(-3) = +3

When you multiply two negative numbers it turns out positive

Answer:

x square + 3 Square

(x + 3)square

X Square + 3 Square + 2x3

Answer:

61/24 is its simplest form! :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We can cross off a because it is impossible to have negative of a material.

Now lets get into the System of equations. First subtract both of them to have one common variable(we will find the second one later)

- P + N = 134

- P + 3.1N = 241.10

2.1N = 107.1

107.1/2.1 = 51

Now we know that n = 51

lets substitute,

P + 51 = 134

P = 83

Lets check

83  + 51 = 134

Great! The asnwer is D

Answer:

D.

. . . . .. . . . . . .. . .. . . . . . . . ..

Answer:

- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x

- $130 can travel 181.32 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.34 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.34 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.34 + $0.50x

Now, to determine how many miles 130$ can travel,

we will put C = $100, and determine x in the above equation

$130 = $39.34 + $0.50x

$130 - $39.34 = $0.50x

$90.66 = $0.50x

x = $90.66/$0.50

x = 181.32

Hence, $130 can travel 181.32 miles

Answer: 7.5 cups of sugar.

Step-by-step explanation:

Add all of the above:

2+1.5+0.5+3+1.5= 8.5 cups of sugar

Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.

Therefore, your answer is 7.5 cups of sugar.