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3 years ago

Help me pleaseeeeeeeee

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

Answer:

C is because it doesn't have any repeating x-values or y-values

Step-by-step explanation:

solniwko [45]3 years ago

4 0

C. None of the x-values repeat.

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If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.

user100 [1]

Answer:

∠ GDH = 67.5°

Step-by-step explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ GDH = $\frac{1}{2}$ (GH + EF) = $\frac{1}{2}$ (90 + 45)° = 0.5 × 135° = 67.5°

6 0

3 years ago

Please help! Select all that apply. Write the letter of your answer. V = Iwh

Delicious77 [7]

Answer:

Step-by-step explanation:

Formula for volume of a cuboid $= lwh$ . where l is the length, w is the width and h is the height.

Using this equation we can answer the question by using the values given.

$V = (2y+4)(2y-4)(3y) = (4y^2-16)(3y) = 12y^3-48y$

From the list of answers, we can compare each one to the answer we got and see if they match up.

The answers that match up are:

C. $12y^3-48y$ - it is exactly like the answer we got.

D. $3y(4y^2-16) = 12y^3-48y$ - if we simplify the brackets, it is exactly like the answer we got.

E. $(2y+4)(6y^2-12y)=12y^3-24y^2+24y^2-48y=12y^3-48y$ - once again, if we simplify the brackets it is like the answer we got.

None of the other answers are correct as they do not match up with the answer we got.

8 0

3 years ago

How do find the general solution of sin7A=sinA+sin3A

const2013 [10]

Step-by-step answer:

Solve

sin(7a) = sin(3a) + sin(a) ..................(1)

Let

F(a)=sin(7a)-sin(3a)-sin(a)..................(2)

the equivalent problem to (1) is

F(a)=0 ......................................(3)

F(a)

=sin(7a)-sin(3a)-sin(a)....apply trig sum identities

=sin(6a+a) - sin(3a) - sin(a)

=sin(6a)cos(a)+cos(6a)sin(a) -sin(3a) - sin(a)

apply double angle formulas

=(2sin(3a)cos(3a))cos(a) +

(cos^2(3a)-sin^2(3a))sin(a) -sin(3a) - sin(a)

simplify using sin^2(p)+cos^2(p) = 1

= (2sin(3a)cos(3a))cos(a) +

(1-2sin^2(3a))sin(a) - sin(3a) - sin(a)

simplify algebraically, note 1*sin(a) cancels sin(a)

= (2sin(3a)cos(3a))cos(a) -2sin^2(3a)sin(a) - sin(3a)

factor out sin(3a)

= sin(3a)(2cos(3a)cos(a)-2sin(3a)sin(a) - 1)

now use trig sum formula to reduce to cos(4a)

= sin(3a)(2cos(4a)-1)

F(a) = 0 if sin(3a) =0 ...................(4)

F(a) = 0 if cos(4a) = 1/2 ................(5)

using the zero product theorem

From (4)

sin(3a) = 0

3a = sin-1(0) = n*pi

a = n*pi/3 ................................(6)

From (5)

cos(4a) = 1/2

4a = cos^-1(1/2) = 2n*pi +/- pi/3

a = (2n+1/3)pi/4 or (2n-1/3)pi/4............(7)

Combine (6) and (7) to give the general solution

a = n*pi/3 or (2n+1/3)pi/4 or (2n-1/3)pi/4 .....(8)

For checking, use your calculator to substitute every solution given in (8) into the function F(a) in equation (1) to confirm that the result is almost equality. The small difference will be due to rounding errors of the calculators. On mine, they work out to be of the order of +/- 10^-15.

6 0

3 years ago

Katie buys 125,000 beads. She uses 108,246 to make bracelets. She goes back to the store and buys 100,000 more beads than she bo

Vinvika [58]

Answer:you multiply

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

An aircraft flew 5 hours with the wind . The return trip took 6 hours against the wind . If the speed of the plane in still air

gayaneshka [121]

Answer:

The speed of the plane in still air is 89.83 mph and the speed of air is 8.17 mph.

Step-by-step explanation:

Let the speed of the plane in still air is u mph and the speed of the wind is v mph.

Now, the aircraft flew 490 miles in 5 hours with the wind.

Hence, $u + v = \frac{490}{5} = 98$ ........ (1)

Now, the aircraft flew 490 miles in 6 hours against the wind.

So, $u - v = \frac{490}{6} = 81.67$ ............ (2)

Now, adding equations (1) and (2) we get,

2u = 179.67

⇒ u = 89.83 mph

Now, from equation (1) we get,

v = 98 - u = 98 - 89.83 = 8.17 mph.

Therefore, the speed of the plane in still air is 89.83 mph and the speed of air is 8.17 mph. (Answer)

6 0

3 years ago