Question 2 : Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of a.

Answer:

(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b.

[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)The average rate of change represent is 16.25 miles per hour.

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)

s1 = d1/t1

15/1.5

s1 = 10 miles per hour

s2 = d2/t2

22.5 miles per hour

Average = 16.25 miles per hour.

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Answer:

Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Step-by-step explanation:

Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:

12 + 7 = 19

44 - 19 = 25

44 + 25 = 69

(12 + 25) + (7 + 25) = 37 + 32 = 69

Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Answer:

375

Step-by-step explanation:

Applying,

Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular  surface

Assuming the triangular base is an equilateral triangle

A = 3A'+2B.................... Equation 1

Where A = Total  surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.

From the question,

IF  A' = 2B,

Given: A = 3000

Substitute these values into equation 1

3000 = 3(2B)+2B

3000 = 6B+2B

3000 = 8B

8B = 3000

B = 3000/8

B = 375

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Base diameter if cylinder = 12 ft

To find :-

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.

Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

Answer:

3000 Meters?

Step-by-step explanation:

I say the question mark because kilo quite literally just means 1000. If she ran 3 of these sets of Kilometers, that would be 3000.

Answer:

3000 meter hope this helps

Answer:

270

Step-by-step explanation:

24 times 30, divided by 2 (360)

then subtract 12 times 15 divided by 2 (90)

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

The radius of the given circle is 5, option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure, y is the radius.

By pythagoras theorem we find the radius

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

AC²+AB²=BC²

y²+12²=(y+8)²

y²+12²=y²+64+16y

144=16y+64

Subtract 64 from both sides

144-64 = 16y

80=16y

Divide both sides by 16

y=5

Hence, the radius of the given circle is 5, option C is correct.

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Answer:

[tex]9+4^2\div 2^3\tems*3[/tex]

[tex]9+2^4\div8*3[/tex]

[tex]9+2*3[/tex]

[tex]9+2*3[/tex]

[tex]9+6[/tex]

[tex]15[/tex]

Answer:

3 + (5 + 7) = (3 + 5) + 7

Associative property

(3){5(7)} = (3){7(5)}

Commutative Property

5 + 0 = 5

Identity Property

Step-by-step explanation:

Answer:

Step-by-step explanation:

126 + 44 = 170 ( total for under 25s)

186 - 56 = 130 (online for 25s - 50s)

154 - 58 = 96 ( in stores for aboves 50s)

314 for ONLINE TOTAL

196 for IN STORES TOTAL

510 for TOTAL TOTAL

A = 170

B = 56

C = 96

D = 96 - 58 = 38

E = 314 - 196 = 118

F = 510

Answer:

...

Step-by-step explanation:

what help do you need ??

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]

Answer:

Step-by-step explanation:

48

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

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Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

12345678901234567890

Answer: D

Step-by-step explanation:

Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

x(x+1)-2(x+1)

(x+1)(x-2)

x=-1 or 2

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since you want to eliminate y, the y value on the bottom equation has the be the opposite of the y value on the top one. So it's 4y on the top one, so the bottom one has to be -4y to eliminate y. The bottom one is -2y, so -2 times 2 =-4, so multiply the bottom one by 2 omg i miss linear combination

Answer:

Step-by-step explanation:

Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.

As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees

Answer:

C) 92, leg

Step-by-step explanation:

a² + 28² = 96²     *the hypotenuse is always the longest side

a² + 784 = 9216

a² = 8432

a = √8432

'a' is approximately 92, and is a leg