Can more than one triangle be drawn if you are given the specifications of two side lengths and one angle? yes or no

Let's use the distributive property to simplify this problem.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 2 by each of the terms inside the parentheses.

So we get 2(3y) + 2(-4) and this simplifies to 6y + -8

Note that if you wrote your answer as 6y - 8, it means the same thing.

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

The total distance around the track is 332.2 meters

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

[tex]C = 2\pi r[/tex]

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

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Answer:

hahahhahah yes hahahhaa

Step-by-step explanation:

nope

Answer:

114 is an improper fraction as numerator 11 is greater than 4, the denominator. Step 2: We divide 11 by 4, and get 2 as a quotient and 3 as a remainder which is written as proper fraction 34.

Answer:

81/7

Step-by-step explanation:

multiply the denominator by the whole number

7*11=77

then add the numerator to the answer

77+4= 81

put the new number over the denominator.

81/7

Answer:

.70833

Step-by-step explanation:

Divide 8.5 by 12 since there are 12 inches in 1 foot

Answer:

.71 feet

Step-by-step explanation:

If you need an explanation then let me know in comments

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

Answer:

hey here is ur answer

the perimeter of a square = 4* side

4*s=14

S = 14/4

s= 7/2 or 3.5

area = side * side

area = (7/2) sq

area = 12.25sq m

Step-by-step explanation:

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.

Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Answer:

a = 4, b = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{8-3\sqrt{2} }{2}[/tex] = a + b[tex]\sqrt{2}[/tex] ( multiply both sides by 2 to clear the fraction )

8 - 3[tex]\sqrt{2}[/tex] = 2a + 2b[tex]\sqrt{2}[/tex]

For the 2 sides to be equal , then

2a = 8 ( divide both sides by 2 )

a = 4

and

2b = - 3 ( divide both sides by - 2 )

b = - [tex]\frac{3}{2}[/tex]

Answer:

Implicit Form: 4x + y - 52 = 0

Step-by-step explanation:

8x + 2y = 104 => Move constant to the left and change the sign

8x + 2y - 104 = 0 => Divide both sides of the equation by 2

4x + y - 52 = 0

Hope this helps!

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

Answer:

1587.6 m²

Step-by-step explanation:

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

[tex]A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6[/tex]

I hope this helps!

Answer:

0 h= 0 mi

1 h = 60 mi

2 h = 120 mi

3 h = 180 mi

Answer:

(12,-8)

Step-by-step explanation:

scale factor is 4

(x,y)=(4x,4y)

(3,-2)=(12,-8)

Answer:

C. 12

Explanation:

Sana makatulong :,-)

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]

[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]

Therefore, (1/7)³ = 1/343, implying that the answer is option (D).

Hope it helps. :)

Answer:

D, 1/343

Step-by-step explanation:

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6

Answer:

Part A

The required wood for the ladder is 98 feet

Part B

The cost of the wood is 49,000

Step-by-step explanation:

Part A

The dimensions of the ladder to be made with wood are;

The distance between each step of ladder = 1 foot

The length of the ladder = 25 feet

The width of the ladder = 2 feet

The required wood = 2 × 25 feet/rail + 2 feet/steps × 24 steps = 98 feet

The required wood for the ladder = 98 feet

Part B

The cost of the wood = 500/foot × 98 feet = 49,000

The cost of the wood = 49,000

Answer: 28,665 currency units

Step-by-step explanation:

Find the value of the car after 4 years using the Future value formula:

= Amount * ( 1 + rate) ^ no. of years

= 33,750 * ( 1 + (-4%))⁴

= 33,750 * 0.84934656‬

= 28,665.45

= 28,665 currency units

Step-by-step explanations

(3x - 6) ÷( x - 2) = (3x - 6)

( x - 2)

= 3( x - 2)

1( x - 2)

=. 3

Answer:

Step-by-step explanation:

This rational expression is:

3x - 7

---------

 x - 2

There's one excluded value, which is 2.  If x = 2 the expression is undefined.

Answer:6

Step-by-step explanation: