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AysviL [449]
2 years ago
10

Find the reflex angle 150 degrees ?​

Mathematics
1 answer:
34kurt2 years ago
6 0

A reflex angle is equal to the sum of 180 degreesand any of the primaryangles (acute, right andobtuse angles). Therefore, Reflex angle = 180° + Acute angle.

First, make sure that it is the reflex angle you’re being asked to measure! Lots of children mistakenly, but very carefully measure the wrong angle. Usually, the angle you’re being asked to measure will have a little circle drawn around the point to show you which side needs measuring

2. Make a small mark on your paper to show where 180° is. If you want to, you could even draw a faint line to show the 180° line.

3.You now need to measure the remainder. Using the outside scale on your protractor, measure the angle from the 180° line you have drawn to the second line you have been given (in this case y to x).

4. Add together 180° to the second measurement and this will be your reflex angle.

5. If you want to check your answer, measure the inside angle and check that the two measurements added together equal 360°.

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13....................
Mashcka [7]

13.

(a)

y=-5x^2+21x-3

for x = 2:

y=-5(2)^2+21(2)-3=-20+42-3=19

for x = 5

y=-5(5)^2+21(5)-3=-125+105-3=-23

(b)

The graph is:

(c)

Using the graph:

\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}

Using the quadratic formula:

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}

6 0
1 year ago
A triangle has an area of 36 square centimeters and a base of 6 centimeters. Find the height. a. 6 cm c. 18 cm b. 12 cm d. 10 cm
melamori03 [73]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at
Mamont248 [21]
Since the first train has been travelling for 3 hours, we have the following equations:
d=50t+3*50=50t+150
d=60t

We want to know when they will be equal, so set these equal to eachother:
60t=50t+150
10t=150
t=15

So 15 hours after the second train leaves, they will be at the same distance. This is at 8AM since the second train leaves at 5PM. 
5 0
3 years ago
Read 2 more answers
Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounde
valentina_108 [34]

Answer:

each payment = $214.20

Step-by-step explanation:

For ordinary annuity,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

Here, FVOA = $50,000

year, n = 14

Since the interest will be paid monthly, m = 12

interest rate, r = 4.5% = 0.045

PMT = ?

Putting all the values into the ordinary annuity formula,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

$50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x 233.4399

or, PMT = $50,000/233.4399

PMT = $214.19

or, monthly payment will be $214.20 (Nearest cent)

7 0
3 years ago
X-9>6 how do I find the answer
Anvisha [2.4K]
If you would like to solve the inequation X - 9 > 6, you can calculate this using the following steps:

X - 9 > 6      /+9
X - 9 + 9 > 6 + 9
X + 0 > 15
X > 15

The correct result would be X > 15.
5 0
3 years ago
Read 2 more answers
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