Help please ill give brainliest promise

SHOW YOUR FORMULA AND SOLUTION

spayn [35]

Answer:

2500 kg

Step-by-step explanation:

Given:

• Force produced by the truck = F = 15,000 Newtons Acceleration of the truck = a = 6 m/s²

To find:

Mass of the truck if force is 15000 newtons and acceleration is 6 m/s²

Formula:

Force = Mass Acceleration

Substituting the above values:

15000N Mass×6

Mass = 15,000/6

Mass = 2500 kg

7 0

11 months ago

Identify whether the series is a convergent or divergent geometric series and find the sum, if possible. A) This is a convergent

Darya [45]

A divergent series is a type of series in which the ratio is too large and the summation is held from one to infinity. Hence, the sum could not be found out. A convergent series, on the other hand, has a definite answer because one could be the ratio is small and the lower and upper limits are defined not equal to infinity either positive or negative.

7 0

3 years ago

9.01 prove that the two circles are similar

il63 [147K]

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

so

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

4 0

3 years ago

Solve sin theta + 1 = cos 2 theta on the interval 0 less than or equal to theta <2 pi

hjlf

Answer:

Ф = 0 and Ф = π

Step-by-step explanation:

* Lets explain how to solve the problem

∵ sin Ф + 1 = cos²Ф, where 0 ≤ Ф < 2π

- To solve we must to replace cos²Ф by 1 - sin²Ф

∵ sin²Ф + cos²Ф = 1

- By subtracting sin²Ф from both sides

∴ cos²Ф = 1 - sin²Ф

- Lets replace cos²Ф in the equation above

∴ sin Ф + 1 = 1 - sin²Ф

- Subtract 1 from both sides

∴ sin Ф = - sin²Ф

- Add sin²Ф for both sides

∴ sin²Ф + sin Ф = 0

- Take sin Ф as a common factor from both sides

∴ sin Ф(sin Ф + 1) = 0

- Equate each factor by 0

∵ sin Ф = 0

∴ Ф = 0 OR Ф = 2π

∵ sin Ф + 1 = 0

- Subtract 1 from both sides

∴ sin Ф = -1

∴ Ф = π

∵ 0 ≤ Ф < 2π

∵ Ф < 2π

∴ We will refused the answer Ф = 2π

∴ Ф = 0 and Ф = π

7 0

2 years ago

Anyone please help me with last two I'll vote brainliest!! :))

Alja [10]

Answer:

7. y= x + 12 8. y= -1 + 4x

Step-by-step explanation:

for 7 all you need to do is subtract x from both sides to get y= 12- x, and to make it perpendicular you need to make the current slope it’s exact opposite so in this case that’s just changing the “-” symbol to an “+”.

for 8 you do the same first step you did in 7 and subtract 4x from both sides to get -y= 1 - 4x. Next you divide everything by -1 (because it’s the number in front of the Y) and you get Y= -1 + 4x

7 0

2 years ago