If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b

Let Length of each Plan A workout be [tex] a[/tex]

and Length of each Plan B workout be $b$

on Wednesday,

$5a+3b=7$

$2a+12b=19$

multiply equation one by $4$ and subtract equation two from it

to get,

$18a=9$ or $a=\frac12$

substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}[/tex]

Answer:

4.22675 quarts

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Answer: c

Step-by-step explanation:

c is the same and it is the correct answer

Answer:

6 grams

Step-by-step explanation:

(3/2)*4 = 12/2 = 6

Answer:

[tex]\boxed{\sf 6 \ grams \ of \ food}[/tex]

Step-by-step explanation:

1 week = [tex]\frac{3}{2} g\ of \ the \ food[/tex]

Multiplying both sides by 4

4 weeks = [tex]\frac{3}{2} * 4[/tex]

4 weeks = 3 * 2 g of the food

4 weeks = 6 g of food

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ [tex]r^{6}[/tex] = 256 → (1)

a₁ [tex]r^{9}[/tex] = 2048 → (2)

Divide (2) by (1)

[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]

r³ = 8 ( take the cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2

Substitute r = 2 into (1)

a₁ × [tex]2^{6}[/tex] = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

Answer:

v . w= -13

Step-by-step explanation:

Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Solution

Given the vectors:

r = <8, 1, -6>

v = <6, 7, -3>

w = <-7, 5, 2>

If you're asking about the dot product.

The dot product is a scalar. It is the sum of the product of the corresponding components.

v.w = (6*-7) + (7*5) + (-3*2)

= -42+35-6

= -13.

Answer:

Step-by-step explanation:

8: 8, 16, 24, 32, 40, 48, 56

x^5y^3z^2

14: 14, 28, 42, 56

x^3y^2z

the LCM is 56x^5y^3z^2

Answer:

The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet

Step-by-step explanation:

The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet

The height of the hoop = 10 feet

The height from which the ball was thrown = 6 feet

The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop

∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet

The coordinates of points on the path of the ball are;

(0, 6), (7, 10), (x, 14)

The projectile in vertex form is y = a·(x - h)² + k

Where;

(h, k) = The x, and y-coordinate of the maximum height

The y-coordinate of the maximum height reached = k = 14 feet

The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height

At y = 6, x = 0, therefore, we get;

6 = a·(0 - h)² + 14 = a·h² + 14

6 = a·h² + 14

a = -8/h²

At y = 10, x = 7, we get;

10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14

10·h² = -8·(7 - h)² + 14·h²

-4·h² =  -8·(7 - h)²

4·h² - 8·(7 - h)² = 0

-4·h² + 112·h - 392 = 0

h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)

h ≈ 4.1, or h ≈ 23.9

We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet

Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet

Answer:

-1

Step-by-step explanation:

-2+(-1)÷3

-2-1÷3

-3÷3

-1

Answer:

-2+(-1)

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

3

-2-1

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

3

-3

= --------

3

= -1

Step-by-step explanation:

substitute the letters with the given numbers

By reading the graph, we can say that the solution is nonviable because A. the percent filled cannot be negative B. the time cannot be negative.

Reading a graph means interpreting what information is being conveyed by the graph and getting meaningful insights from it.

Learn more about reading the graph here

https://brainly.com/question/24934767

#SPJ2

Answer: 3.50 Per hour

Step-by-step explanation:

Divide 84 by 24

Answer:

Answer choices A, B and C identifies the relevant information in the problem

Step-by-step explanation:

Sarah left the house at 12:15 pm

She spent $42.20 on two books for her children

She spent $5.67 on a toy for her dog

Sarah arrived home at 1:00 pm

How much did Sarah spent on each book?

If she spent $42.20 on two books for her children,

Then, it means she has two children and the book cost $21.10 each

Answer choices A, B and C identifies the relevant information in the problem

Answer:

its A all the other one dont make sence sorry if im wrong but i got it right on my test

Step-by-step explanation:

Answer:

v = 63

Step-by-step explanation:

v = 1/2(7)(6)(3)

v = 63

$8000+5.75% =$84600

Answer:

-15

Step-by-step explanation:

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

12

Step-by-step explanation:

9+3 =12

pls make me brainiest

Step-by-step explanation:

1 opción:

Del primer 9:

retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:

5 + 3 = 8

2 opción:

en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:

6 + 3 = 9

Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:

3 + 6 = 9

Answer:

for the first one find a common dinominator which is 6 because you multiplied 2 times 3 which is 6 you have to do the same for the top so 3 multiplyed by 3 is 9 than the same for the other side than for x

Step-by-step explanation:

Answer:

11(2c+3d)

Step-by-step explanation:

22c + 33d

Rewriting

2*11*c + 3*11*d

Factor out 11

11(2c+3d)

Answer:

200 ft^2

Step-by-step explanation:

The surface area of the pyramid is the sum of the area of the base and the areas of the 4 congruent triangular sides.

SA = LW + 4 * bh/2

SA = 10 ft * 10 ft + 4 * (10 ft)(5 ft)/2

SA = 100 ft^2 + 2(50 ft^2)

SA = 200 ft^2

(P.S. It's impossible to make a pyramid with these dimensions.)

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

Answer:

140°

Step-by-step explanation:

total angle of a hexagon is 720. We know already 510°. That leaves 210°. The ratio between the two angles is 2:1, therefore angle CDE is 140° and angle DEF is 70 °

Answer:

140°

Step-by-step explanation:

We know that all of these angles here are part of a hexagon, meaning that their angle measures will all add up to 720°.

We can use what we already know and find what CDE and DEF will add up to.

[tex]145+90+160+115=510\\720-510=210[/tex]

Now, assuming x is the measure of DEF, we can create an equation for this.

[tex]x + 2x = 210\\3x = 210\\x = 70[/tex]

This is the measure of DEF, but it asks for CDE, which is twice the size of DEF. So

[tex]70\cdot2=140[/tex]

We can double check this is right by adding up all the measures.

[tex]145+90+160+115+140+70=720[/tex]

Hope this helped!

Answer:

$11.76

Step-by-step explanation:

Given:

Baggage having its weight greater than 40 pounds is charged at rate of 1% of the one-way fare .

Here, as per statement  One way fare of a trip = $98  

Weight of bag on that trip = 52 pounds

To find:

Charge for bag for this trip = ?

Solution:

Weight greater than that of 40 pounds = Given total Weight of baggage - 40 pounds

As per the given statement:

Weight greater than that of 40 pounds = 52 - 40 pounds = 12 pounds

Charges on extra baggage =  weight in pounds more than 40 multiplied by  1% of one-way fare.

Given that this trip has one way fare = $98.

The charge for a bag weighing 52 pounds = 1% of 98 \times 12

[tex]\Rightarrow \dfrac{1}{100}\times 98 \times 12\\\Rightarrow 98 \times 0.12\\\Rightarrow \bold{\$11.76}[/tex]

So, the answer is $11.76.

Answer:

54

Step-by-step explanation:

i put in the calculator 50+36×54= and got this 1,994

Hello!

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given:

3x - 4y = 65 where y = 4;

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Hope this helped you! :)

Answer:

x=27

Step-by-step explanation:

3x-4y=65

Let y=4

3x - 4(4) = 54

3x -16 = 65

Add 16 to each side

3x -16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 =81/3

x =27

Answer:

1001.66 in²

Step-by-step explanation:

radius=r=diameter/2

r=22/2=11

l is the slant =18

surface area of a cone= area of circle + area of the curved part of cone

SA=πr²+πrl

SA=3.14(11)²+3.14(11)(18)=1001.66 in²

Answer:

first term: degree=4, coefficient= -2

second term: degree=3, coefficient=1

third term: degree=1, coefficient= -8

fourth term: degree= 1, no coefficient

fifth term: degree=2, coefficient=5

Step-by-step explanation:

Answer:

Hey there!

First term, degree 4, coefficient -2.

Second term, degree 3, coefficient 1

Third term, degree 1, coefficient -8

Fourth term, degree 1, coefficient none

Fifth term, degree 2, coefficient 5

Hope this helps :)

Answer:

The Answer would be 166

Step-by-step explanation:

From 115 to 132 is + 17

From 132 to 149 is + 17

So 149 + 17 = 166

Therefor your answer is 166

Answer:

126

Step-by-step explanation:

Let x be the missing length

The triangles are similar:

● UE/140 = 45/x

From the graph we deduce that:

● UE = 140 - 90 = 50

Replace UE by its value

● 50/ 140 = 45/x

Switch x and 50

● x / 140 = 45/50

45/50 is 9/10 wich is 0.9

● x/140 = 0.9

Multiply 0.9 by 140

● x = 140 × 0.9

● x = 126

Answer:

I think its c 126

Step-by-step explanation:

Answer:

x² = 900

Step-by-step explanation:

ΔABC is an equilateral triangle because its sides are equal lengths

this means their angles are also equal.

180 / 3 = 60

∠BCA and ∠DCA are supplementary angles - add up to 180º

if ∠BCA = 60º, then ∠DCA = 120º

ΔACD is an isosceles triangle because two sides are equal lengths. this means their angles are equal.

∠CAD ≅ ∠CDA

180 - ∠DCA = 2(∠CAD)

180 - 120 = 60

60 / 2 = 30º

x = 30º

x² = 900