Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?

The cosine of the acute angles are 0.80 and 0.60 respectively

The given parameters are:

[tex]Leg\ 1 = 4x[/tex]

[tex]Leg\ 2 = 3x[/tex]

[tex]Hypotenuse = 5x[/tex]

Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]

The cosine of the acute angles is calculated using:

[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]

[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]

So, the formula becomes

[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]

[tex]\cos(\alpha) = \frac{4}{5}[/tex]

[tex]\cos(\alpha) = 0.80[/tex]

and

[tex]\cos(\beta) = \frac{3x}{5x}[/tex]

[tex]\cos(\beta) = \frac{3}{5}[/tex]

[tex]\cos(\beta) = 0.60[/tex]

Hence, the cosine of the acute angles are 0.80 and 0.60 respectively

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Answer: -3 (option D) is the answer.

(-8)-(-5)= -8+5 = -3

Answer:

70cm

Step-by-step explanation:

33=27/360*2*22/7*r

33*2520/1188=r

83160/1188=r

r=70cm

hope it's right

Answer:

m = 36

Step-by-step explanation:

A^2 + B^2 =  C^2

81 +  144 = 225

square root of 225 =  15

n = 15

m = ?

39 = 39

225  + m ^2 = 1521

m^2 = 1296

m = 36.

CHECK :

225 + 1296 =  1521

CORRECT!

Step-by-step explanation:

The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.

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Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24

Answer:

[tex]3^{\frac{7}{10} }[/tex]

Step-by-step explanation:

[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10

Answer:

Step-by-step explanation:

Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]

[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]

Answer:

Step-by-step explanation:

I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7

-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D

-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution

--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution

Answer:

1 4/5

Step-by-step explanation:

2x+7>-3x-2

2x+3x>-2-7

5x/5>-9/5

=1 4/5

Thanks Hope It Help

Answer:

4 TOPPING WITH 5 CENTS LEFT

Step-by-step explanation:

A AND B ARE CORRECT ok so $6.50 to spend take out $3 for the cost of a plain hamburger which would leave you with $3.50 to spend on toppings alone so

3.5-0.75=2.75 (1 topping

2.75-0.75=2 (2 topping

2-0.75=1.25 (3 topping

1.25-0.75=0.5 (4 topping

there for you can get 4 toppings with 5 cents left over

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

The correct option is (A) and (B)

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)^×

y = 500(1+2.5/100^)×

y = 500(1+0.025)^×

y = 500(1.025)^×

again,

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)^×

y = 400(1+0.02)^×

y = 400(1.02)^×

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Answer:

c

Step-by-step explanation:

-7.5 is less than 6.5

Answer:

Y = 27

Step-by-step explanation:

To find the the value of y when x = 4 simply substitute the given value of x

into the equation and solve for y

Equation given: y - 3x = 15

x = 4 * substitute 4 for x in given equation *

y - 3(4) = 15

Now solve for y

simplify multiplication

y - 12 = 15

Add 12 to both sides

y - 12 + 12 = 15 + 12

y = 27

So we can conclude that when x = 4 y = 27

Answer:

y = 27

Step-by-step explanation:

y - 3x = 15

Let x = 4

y - 3(4) = 15

y - 12 = 15

Add 12 to each side

y -12 +12 =15+12

y = 27

Answer:

C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Step-by-step explanation:

A = B+ C then

C = A - B

C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )

   = [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]

   = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Answer/Step-by-step explanation:

✔️Volume of right cylinder = πr²h

Where,

π = 3.14

radius (r) = 4 cm

height (h) = 3 cm

Plug in the values into the formula

Volume of cylinder = 3.14*4²*3

= 150.72 cu cm

✔️Volume of cone = ⅓πr²h

Where,

π = 3.14

radius (r) = 5 cm

height (h) = 12 cm

Plug in the values into the formula

Volume of cylinder = ⅓*3.14*5²*12

= 314 cu cm

✔️Volume of pyramid = ⅓*Bh

Where,

Base area (B) = 16 cm²

height (h) = 30 cm

Substitute

Volume of pyramid = ⅓*16*30

= 160 cu cm

✔️Volume of square pyramid = ⅓*s²*h

Where,

Length of square base (s) = 3 cm

Height (h) = 16 cm

Substitute

Volume of square pyramid = ⅓*3²*16

= 48 cu cm

Answer:

a=15

Step-by-step explanation:

3a+b = 54

Let b=9

3a+9 = 54

Subtract 9 from each side

3a+9-9= 54-9

3a = 45

Divide each side by 3

3a/3 = 45/3

a = 15

Answer:

[tex]3a+b=54[/tex]

[tex]3a+9=54\:[b=9][/tex]

[tex]3a=54-9[/tex]

Subtract 9 from both sides

[tex]3a=45[/tex]

Divide both sides by 3

[tex]\frac{3a}{3}=\frac{45}{3}[/tex]

[tex]a=15[/tex]

OAmalOHopeO

The sides of the image and pre-image are congruent

Each point has moved the same number of units

Answer:

x^4+x^2+5

Step-by-step explanation:

f(x) = x^2 -3x+7

g(x) = x^2+2

f(g(x) =  Place g(x) in for x in the function f(x)

       = (x^2+2)^2 -3(x^2+2) +7

FOIL and Distribute

       = x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7

Combine like terms

    = x^4+x^2+5

Answer:

110

Step-by-step explanation:

2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110

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Hi there!

[tex]\large\boxed{log_b3b = 1.8397}[/tex]

Keep in mind the following log property:

logₓab = logₓa + logₓb

Thus:

[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]

We know the value of log_b3, and a log with the same values for the base equals 1. Thus:

[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]

2)10,290

105

98

10290

(3y-2z) (3y+2z)

3y(3y+2z)-2z(3y+2z)

9y2+6yz-2z(3y+2z)

9y2+6yz-6yz-4z2

9y2-4z2

Answer:

Step-by-step explanation:

The zeros are located at x = 1 and x = 9. If x = 1 is a solution, then the factor is (x - 1); if x = 9 is a solution, then the factor is (x - 9). Choice A is the one you want. FOIL these out and you will get the equation for the quadratic.

Answer:

{1, 0, 16}

Step-by-step explanation:

given..

j(x) = x^2-2x+1

put all given values of domain (1,0 and 5 ) in the equation..

the values you get are range of the function

Answer: 1

Step-by-step explanation

0(2)-2(0)+1=0+0+1= 1

1(1)-(2)(1)+1=1-2+1= 1

(5)(2)-(2)(5)+1=10-10+1= 1

Answer:

x^3 + y^3 + z^3

Step-by-step explanation:

x^3+(y+z)^3

Remove brackets

x^3 + y^3 + z^3

Answer:

D

Step-by-step explanation:

từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau

Answer:

good evening good evening good evening good evening

Step-by-step explanation:

w

Answer:

∠b = 54°

they add up to 180

7x + 14 + 5x - 26 = 180

12x = 192

x=16

thus ∠b = 54°

Step-by-step explanation:

Answer:

I believe it's D

Step-by-step explanation:

You plug in 0 and you get 5 as your Y value

The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The graph is first shifted to the right by 4 units and another one to the left by 1/2.

So, we have:

y = (5 + 3x)/(1 + x)

Hence, the function of the graph is y = (5 + 3x)/(1 + x)

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Answer:

a)

Step-by-step explanation:

The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.

a.) tina can type at least 60 words per minute

At least 60 means greater than or equal to 60.

This is the answer.

b.)tina can type at most 60 words per minute

This is less than or equal to 60.

c.)tina can type no more than 60 words per minute

This means less than or equal to 60.

d.) tina can type more than 60 words per minute

This means greater than 60.

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

Answer:

50.24

Step-by-step explanation:

A = Area

Radius = 4 (The radius is half of the diameter

Diameter = 8

Pie = 3.14

A = (pie)r^2

A = (3.14)4^2

A = (3.14)16

A = 50.24