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Ratling [72]
3 years ago
11

Which expression is equivalent to (3a)–2?

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

Its (A), 1/9a^2

if you work out all of the other options it does not equal to the expression (3a)^-2

Step-by-step explanation:

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25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp
Elanso [62]

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L,  of the ramp.  If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is \frac{opposite}{adjacent}:

tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\

\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16}  \\\\L=79.815=79.82 in.

8 0
2 years ago
The table shows the relationship between the number of Calories Lucie burns while jumping rope and the number of minutes she jum
iragen [17]

Answer:

The amount of calories Lucie will burn by jumping for 1 minute is 8 calories

Step-by-step explanation:

The given data values are;

Minutes {}                  Calories Burned

40                {}            320

80        {}                    640

120 {}                          960

160 {}                          1280

The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;

40 minutes of jump rope will yield 320 calories burnt

Therefore we have;

1 minute of jump rope will yield 320/40 = 8 calories burnt

The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.

8 0
3 years ago
3x~6y=~3<br> 2x+4y=30<br> Elimination using multiplication
Nat2105 [25]
\left \{ {{3x-6y=-3\ \ |*2} \atop {2x+4y=30\ \ | *(-3)}} \right. \\\\ \left \{ {{6x-12y=-6} \atop {-6x-12y=-90}} \right. \\+----\\elimination\\\\&#10;0 \neq -69\\\\There\ are\ no\ solutions
7 0
3 years ago
Select the correct answer from each drop-down menu.
finlep [7]

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be (x_2,y_2)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be (x,y)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of B=(x_2,y_2)=(10,-4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

4 0
3 years ago
Artem and Anthony are selling brownies at the school bake sale. Anthony sold twice as many brownies as Artem. Together, they sol
Digiron [165]

Answer:

no because 2(4) + 4 = 15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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