Which expression can be used to simplify this expression? -2 divided by 1 and 3/4

Answer:

[tex]K \approx 51.2^\circ[/tex]

[tex]K \approx 128.8^\circ[/tex]

Step-by-step explanation:

Given

[tex]k = 480[/tex]

[tex]j = 420[/tex]

[tex]\angle J = 43^\circ[/tex]

Required

Find the measure of K

The value of K ranges from: [tex]0^\circ \le K \le 180^\circ[/tex]

To do this, we apply sine rule;

[tex]\frac{j}{\sin J} = \frac{k}{\sin K}[/tex]

So, we have:

[tex]\frac{420}{\sin 43} = \frac{480}{\sin K}[/tex]

Cross multiply

[tex]\sin K * 420 = \sin 43 * 480[/tex]

Make sin K the subject

[tex]\sin K= \frac{\sin 43 * 480}{420}[/tex]

[tex]\sin K= \frac{0.6820 * 480}{420}[/tex]

[tex]\sin K= 0.7794[/tex]

Take arc sin of both sides

[tex]K = sin^{-1}(0.7794)[/tex]

[tex]K \approx 51.2^\circ[/tex]

Recall that: [tex]0^\circ \le K \le 180^\circ[/tex]

The other possible value of K is:

[tex]K \approx 180 - 51.2[/tex]

[tex]K \approx 128.8^\circ[/tex]

Answer:

Angle #1: 115°

Angle #2: 64°

Angle #3: 90°

Angle #4: 106°

Angle #5: 165°

Step-by-step explanation:

you subtract the ones that give you the exterior angle by 180 because it is a supplementary angle. that means that both angles add up to 180. the little square next to angle three means its a right angle. this means it is exactly 90°. the last angle is a little tricky. you need to add up all the angles you have and then you if you get 540 then your answer is correct because all interior angles of a pentagon must add up to 540.

Hope you have a great day and I hope this helped you out!

<3 :- )

Answer:

Step-by-step explanation:

The answer is D, the function approaches 1 as x approaches +- infinity. We can divide each term by x^2. We will get the following:

[tex]\frac{1-4/x^2}{1-9/x^2}[/tex]

as x goes to infinity, the -4/x^2 and -9/x^2 go to 0. To the equation just becomes 1/1. So the answer is 1.

Answer:

22.5°

Step-by-step explanation:

We know that the measure of straight line is 180° . Therefore the sum of all angles will be 180° .

⇒ 90° + x + 3x = 180°

⇒ 90° + 4x = 180°

⇒ 4x = 90°

⇒ x = 90°/4

⇒ x = 22.5°

Answer:

18.457

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Coterminal angles are angles that have a common terminal side.

So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.

We have a 645° angle.

Therefore, all values of the equation:

[tex]645\pm 360n[/tex]

Where n is an integer is coterminal with our original angle.

Letting n = 1 and using the negative case, we acquire:

[tex]\Rightarrow 645-360=285[/tex]

Therefore, an angle measuring 285° is coterminal with a 645° angle.

None of the other options can be reached by adding/subtracting 360.

Therefore, our answer is C.

Answer:

4.8

Step-by-step explanation:

Since the scale is 2 feet and the real is 70 to find the cale factor you do 70/2. Since the answer to that is 35 the scale factor is 35. SO to find tha drawing scale factor in feet you do 168/35 to get 4.8,

Answer:

a) 341

b) 7243

c) 11018

d) 33000

Answer:

Step-by-step explanation:

For the lateral area we have to find the perimeter:

p = 2 x 8 x π

p = 16 π

now we can find it

LA = p x height

LA = 16 π x 3 = 48 π

for find the the surface area we have to find the base area

Base area = radius^2 π

base area = 8^2 π = 64 π

now can we find it

SA = 2 x base area + LA

SA =  2 x 64π + 48π = 128π + 48π = 176π

V = base area x height

V = 64π x 3 = 192 π

Hello!

This is a question relating trigonometric ratios and a missing angle.

Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.

I'll be using the sine ratio for this problem.

The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.

Meaning the following equation could be set up.

[tex]sin(\theta)=\frac{45}{75}[/tex]

Now, we can just solve for theta.

[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]

Make sure you're in degrees when you're solving this problem.

[tex]\theta=36.870[/tex]

Hope this helps!

Answer:

Y = - x + 4

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Answer:

(x−2)^2+(y+1)^2=26

Step-by-step explanation:

https://socratic.org/answers/456712

Answer:

5

Step-by-step explanation:

your answer is 5 hope it help

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

You would use pemdas to solve this so since there is no parentheses, exponents, or multiplication you would do the division first and then the subtractions then addition because the subtraction comes first in this equation. 6 divided by 3 is 2 then 8 - 2 = 6 and then 6 + 11 = 17

Answer:

No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

10^2 + 26 ^ 2 = 776

28^2 = 778.

since 776 is less than 778, it is an acute triangle, not right.

Answer:

264

Step-by-step explanation:

(251 + 277) / 2 = 264

Answer: 11,921,360

Step-by-step explanation:

Answer:

Gay?

Step-by-step explanation:

Answer:

137/1000

Step-by-step explanation:

Because we have 3 numbers after 0....

hope it helps

Answer:

You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance. ( D )

Step-by-step explanation:

let : P = 0.6

x = 135 , n = 200

p = 135 / 200 = 0.675

H0 : P = 0.6

Ha : P ≠ 0.6

performing the test statistic = ( 0.675 - 0.6 ) / [tex]\sqrt{\frac{0.60(1-0.60)}{200} }[/tex]

= 0.075 / 0.0346 ≈ 2.17

p-value = 2 * P ( Z > - 2.17 )  ( using excel function ; NORMSDIST )

            = 2 * 0.015  = 0.03  

Answer:

4) 24

Step-by-step explanation:

OA = OB = 7 ( radius )

OP = OB + BP

= 7 + 18

OP = 25

In triangle OPB,

By Pythagoras theorem,

( OP )² = ( OA )² + ( AP )²

( AP )² = ( OP )² - ( OA )²

= 25² - 7²

= 625 - 49

( AP )² = 576

AP = 24

Answer:

your answer will be 24

Step-by-step explanation:

∠OAP=90°

OA=OB=7

[tex]OA^{2} +Ap^{2} =OP^{2} \\\\7^{2} +Ap^{2} =(7+18)^{2} \\\\Ap^{2} =25^{2} -7^{2} =576\\\\AP=\sqrt{576} =24\\\\Ap=24[/tex]

hope it helps

have a great day!!

Answer:

Prism A:

[tex]Area = 288cm^2[/tex]

Prism B:

[tex]Area =250cm^2[/tex]

Step-by-step explanation:

Given

See attachment for prisms

[tex]Height(h) = 10cm[/tex]

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

[tex]Area = 2 * A_b + (a + b + c) * h[/tex]

Where

[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]

and

[tex]s = \frac{a + b + c}{2}[/tex]

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

[tex]a = 8; b =6; c =10[/tex]

So, we have:

[tex]s = \frac{a + b + c}{2}[/tex]

[tex]s = \frac{8 + 6 + 10}{2}[/tex]

[tex]s = \frac{24}{2}[/tex]

[tex]s = 12[/tex]

Also:

[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]

[tex]A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}[/tex]

[tex]A_b = \sqrt{576}[/tex]

[tex]A_b = 24[/tex]

So:

[tex]Area = 2 * A_b + (a + b + c) * h[/tex]

[tex]Area = 2 * 24 + (8 + 6 + 10) * 10[/tex]

[tex]Area = 288cm^2[/tex]

Prism B is a rectangular prism. So, the area is calculated as:

[tex]Area = 2 * (ab + bh + ah)[/tex]

From the attachment

[tex]a = b = 5[/tex]

[tex]h =10[/tex]

So:

[tex]Area =2 * (5 * 5 + 5 * 10 + 5 * 10)[/tex]

[tex]Area =250cm^2[/tex]

Answer: H

Step-by-step explanation: H. Its H

Answer:

120km

Step-by-step explanation:

1hr 12 min is double 36 minutes

so just double 60

Answer:

6x

Step-by-step explanation:

there's no specific method just follow times table

Answer:

-1.52

-0.990 radians

No

2.15 radians

Step-by-step explanation:

The slope is equal to the y-coordinate/x-coordinate = -32/21 = -1.52

Then, tan^-1(m)=tan^-1(-32/21)=-0.990 radians

This does not give the correct value of theta, however.

The correct value of theta is tan^-1(-32/21)+pi=2.15 radians

Answer:

12p=48

Step-by-step explanation:

Answer:

x = 30 degrees

Step-by-step explanation:

a triangle's angles should all add up together to 180 degrees. Since a right angle is 90 degrees then you have your 60 degree angle that only leaves 30 degrees left.

Answer: A and C

Step-by-step explanation:

A is right because it’s right triangle since it has a right angle. C is also right, x=30 because we have 60 degrees and 90 degrees. 60 plus 90 is 150 and a triangle is equal to 180 degrees 180-150 is 30