Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate the missing attributes of the triangle.

Answer:

[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Step-by-step explanation:

b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]

Area of one triangle

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]

There are 4 colored triangles so total area of the triangles is

[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]

The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Answer:

Babysitting= 13.3 hours

Icecream shop= 6.6 hours

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for icecream shop be y

we are told that Leah would like to earn $120 monthly

She babysits for $5 per hour and

works at an ice cream shop for $8 per hour

5x+8y=120---------------1

Leah cannot work more than a total of 20 hours per month

x+y≤20-------------2

The system of equation for the situation is

5x+8y=120

x+y≤20

x=20-y

put x=20-y in eqn 1

5(20-y)+8y=120

100-5y+8y=120

3y=120-100

3y=20

y=20/3

y=6.6 hours

put y=6.6 in eqn 2

x+6.6≤20

x≤20-6.6

x=13.3hours

Answer:

Laura will pay an interest of  $75,600.

Step-by-step explanation:

Our formula: A = P(1 + rt)

Principal = $105,000

Rate = 6%

Time = 12 years

A (amount)= 105,000(1 + (0.06 × 12)) = 180,600

$180,600 - $105,000 = $75,600.

Answer:

x = 1/2

y = 4

Step-by-step explanation:

4x - y = -2     --------------------(I)

2x + 3y = 13 --------------------(II)

Multiply equation (I) by 3 and then add

(I)*3         12x - 3y = -6

(II)             2x  + 3y = 13           {Now add and so y will be eliminated}

               14x         = 7

                          x = 7/14

x = 1/2

Plugin x = 1/2  in equation (I)

[tex]4*\frac{1}{2}-y = -2[/tex]

  2 - y = -2

     -y  = -2 - 2

     -y = -4      

   y = 4

Answer:

x=1/2

y=4

Step-by-step explanation:

4x-y=-2

-y=-4x-2

y=4x+2

2x+3y=13

2x+3(4x+2)=13

2x+12x+6=13

14x=7

x=1/2

y=4x+2

y=4(1/2)+2

y=2+2

Y=4

Answer: 3/4 ounces of sugar for one cup.

Step-by-step explanation: Since we know that we have 1/3 cup, we can simply times the 1/4 by 3. If it helps, just imagine pouring 1/4 ounce of sugar three times.

Hope this helps :)

Answer:

(2,2)

Step-by-step explanation:

Lets check:

(2,2)

2(2)-2=2 Correct !

2=-2+4 correct !

Hope this helps plz hit the crown :D

Answer:

i believe the answers (2,2)

Step-by-step explanation:

if you add it in for y and x  you will see it right

Answer:

10 months

Step-by-step explanation:

If we divide 18 and 6, you would get 3. This means that Carrie reads 3 books per month and we can divide 30 and 3 to figure out how many months that she read which is 10.

Answer:

Im pretty sure its D

Step-by-step explanation:

2/5 of the class is male

40% of the class is male

3/5 of the class is female

60% of the class is female

Not sure if this is right, but this is what I got.

Answer:

3/2

Step-by-step explanation:

do rise over run

rise is 3

run is 2

3/2

hope this helps <3

Answer:

slope is 1.5

Step-by-step explanation:

slope=rise over run

3/2=1.5

look at point

(1,-3) then go up 3 and right 2

lands in point

(3,0)

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Answer:

-13

Step-by-step explanation:

Answer:

t = -13

Step-by-step explanation:

2.6 = -0.2t         Equation

2.6 / -0.2 . = -0.2t/-0.2          Divide -0.2 on both sides

t = - 13       Simplify

Answer:

$12,750

Step-by-step explanation: when you do the math you get it your welcome my G

Step-by-step explanation:

GCF of 2 prime numbers is always 1, because prime number only have two factors, themselves and 1.

LCM of 2 prime numbers will be simply multiplying them together.

Sasha can do that by; finding the HCM of two factors.

Razi will tell Jake to find the LCM you have to find the least common factor of the numbers,and then that's your answer.

Hope this helps:)!

Answer:

There's no options

Step-by-step explanation:

Answer:

Options please

Step-by-step explanation:

Answer:

There's the graph

But the answer is x<9

X is all values below 9.

Answer:

OD. x/y

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

It's C or the one u just clicked on

Step-by-step explanation:

Answer:

-5,962 m

Step-by-step explanation:

Since the point is below sea level, it will be a negative number as an integer.

it is 5,962 m below sea level, so as an integer, it will be -5,962 m.

So, the elevation as an integer is -5,962 m

Answer:

C.) y = 5/4 x

Step-by-step explanation:

5/4 multiplied by 0.4 is 0.5

Answer:

$545.00

Step-by-step explanation:

250.7 / 23 = 10.9

$10.9 is the cost of every lb of onions.

Then we multiply 10.9 by 50 because there are 50 lbs. like this

10.9 * 50 = 545

So $545.00 is our answer.

Answer:

x=10

Step-by-step explanation:

5x+17 = 67

The angles are vertical angles which means they are equal.  This means the arc lengths are equal

5x+17-17 = 67-17

5x = 50

5x/5 = 50/5

x =10

Answer:

I'm pretty sure it is (2,0)