All categories

2 years ago

Find a positive angle less than one rotation that is coterminal with 750 degrees

1 answer:

5 0

To solve this problem, all you have to do is to subtract 360 degrees (equivalent to 1 rotation) from the given angle until the answer is less than 360 degrees.

1st subtraction: 750 – 360 = 390 degrees

2nd subtraction: 390 – 360 = 30 degrees

Therefore the positive angle less than one rotation that is coterminal with 750 degrees is 30 degrees.

You might be interested in

If ΔMNO ≅ ΔXYZ, then what corresponding parts are congruent?

8090 [49]

Answer:

∠N and ∠Y

Step-by-step explanation:

When two triangles are congruent then there corresponding parts ( angle or sides ) are also congruent or equal, ( CPCTC )

In triangles MNO and XYZ,

Side MN, NO and OM are corresponding to XY, YZ and ZX respectively,

And, angles M, N and O are corresponding to angles X, Y and Z respectively,

Thus, if ΔMNO ≅ ΔXYZ

By CPCTC,

MN ≅ XY

NO ≅ YZ

OM ≅ ZX

Also, ∠M ≅ ∠X, ∠N ≅ ∠Y and ∠O ≅ ∠Z

Hence, THIRD OPTION is correct.

4 0

2 years ago

Read 2 more answers

Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −

IRINA_888 [86]

For this case we have the following equation:
$7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6
$
Step 1 of the solution is to make the distributive property.
We have then:
$7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6
$
Step 1 is correct.
The step is to combine similar terms. Caleb wrote: $7.4x + 8.2x - 16.4 = -2.3x + 35.4
$
He wrongly combined the similar terms on the right side of the equation.
The correct solution is: $7.4x + 8.2x - 16.4 = -2.3x -7.8
$
Answer:
In step 2, the like terms were not combined on the right side of the equation.

6 0

2 years ago

Read 2 more answers

A population of endangered birds decreases by 3% each year.

Lana71 [14]

Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)

A. N = 30,000 $(1-0.03)^{2}$

B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000.

8 0

2 years ago

Read 2 more answers

World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha

dezoksy [38]

Answer:

A) $P(t)=77.2\cdot e^{0.016t}$

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form $y=a\cdot e^{kx}$ , where,

a = Initial value,

k = Growth rate in decimal form.

$1.6\%=\frac{1.6}{100}=0.016$

Upon substituting our given values, we will get:

$P(t)=77.2\cdot e^{0.016t}$

Therefore, our required function would be $P(t)=77.2\cdot e^{0.016t}$ , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute $t=2013-2004=9$ in above formula as:

$P(9)=77.2\cdot e^{0.016(9)}$

$P(9)=77.2\cdot e^{0.144}$

$P(9)=77.2\cdot 1.1548841085249135$

$P(9)=89.1570531781\approx 89.157$

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

$95=77.2\cdot e^{0.016t}$

Divide both sides by 77.2:

$1.2305699481865285=e^{0.016t}$

Take natural log of both sides:

$\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})$

$\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)$

$0.20747743456981035=0.016t*1$

Divide both sides by 0.016:

$t=12.9673396606$

$t\approx 13$

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0

2 years ago

A composition of transformations ΔKLM maps ΔK"L"M" to . Triangle K L M is rotated 270 degrees about point P to form Triangle K p

telo118 [61]

Answer:

a 270° rotation about point P

Step-by-step explanation:

Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.

Therefore the transformation composition that maps $\triangle KLM$ to $\triangle$ K"L"M",

So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.

While the transformation of the second would be down translation that goes to the right.

hence, the last option is correct

6 0

2 years ago

Read 2 more answers