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yarga [219]
3 years ago
5

I need to find x. It wants me to find the indicated angle measure.

Mathematics
2 answers:
romanna [79]3 years ago
6 0

Answer:

x=33

Step-by-step explanation:

2x-18+4x=180

6x-18=180 combine like terms

   +18   +18 add on both sides

6x= 198  divide

x= 33

Nataliya [291]3 years ago
5 0

Answer:

x=27

Step-by-step explanation:

(2x-18)+(4x)=180 bc its a straight line

simplify

6x-18=180

-18       -18

6x=162

divide

x=27

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8. In an examination 40% of the students failed. The number of students that passed was 180. How many students failed?
EastWind [94]

Answer:

Neither. 72 students failed.

Step-by-step explanation:

40% of 180 is 72

8 0
3 years ago
Read 2 more answers
if you have 18 1/4 pounds of crabs and you need to serve 30 people at a dinner. How much crab will each person receive?
Georgia [21]
18 1/4 divided by 30 equals 0.608333333

Each person would receive 0.6 pounds of crab.
8 0
3 years ago
Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
A rock is launched from a cannon. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Us
max2010maxim [7]

Answer:

Step-by-step explanation: This is the quadratic function:

h(x)=ax²+bx+c

We have two points:

(1,58)

(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0

Therefore:

a(0)²+b(0)+c=0

c=0

(1,58)

a(1)²+b(1)=58

a+b=58  (1)

(2,112)

a(2)²+b(2)=112

4a+2b=112

2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:

a+b=58

2a+b=56

we can solve this system of equations by reduction method.

-(a+b=58)

2a+b=56

---------------------

a=-2

-2(a+b=58)

2a+b=56

-------------------

      -b=-60  ⇒  b=60

The function is:

h(x)=ax²+bx+c

h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)

h(10)=-200+600=400

Answer: 400 ft.

8 0
3 years ago
Diana is painting statues.She has 7/8 of a gallon remaining.Each statue requires 1/16 of a gallon of paint. How many statues can
Irina-Kira [14]
The answer for the problem is 7/2
3 0
3 years ago
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