What is the surface area of the triangular prism shown
below?
3 cm
5 cm
8 cm
4 cm

Answer:

24

Step-by-step explanation:

let 'x' = number

x/2 - 2 = 10

add 2 to each side to get:

x/2 = 12

cross-multiply to get:

x = 24

Answer:

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Explanation:

x = the number you think of

x/2 = the result after taking half of that number

(x/2) - 2 = subtract 2 from the previous result

(x/2) - 2 = 10 is the equation to solve

Solving said equation gets us...

(x/2) - 2 = 10

x/2 = 10+2 ... adding 2 to both sides

x/2 = 12

x = 12*2 ..... multiplying both sides by 2

x = 24

Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24

-----------------

Let's check that answer:

x = 24

x/2 = 24/2 = 12 ... result after taking half of x

(x/2) - 2 = (12)-2 = 10 ... result after subtracting two

We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.

------------------

Here's another way to check:

(x/2) - 2 = 10

(24/2) - 2 = 10

(12) - 2 = 10

10 = 10

We end up with the same thing on both sides, so x = 24 is confirmed.

Answer:

d. (9,-260°)

Step-by-step explanation:

100° = 100-360 = -260°

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

cos(68°)×24= 8.99 which can be rounded to 9

Answer:

A)-19,15,-9,-1,9

Step-by-step explanation:

that's the answer when I compute it

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

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

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If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05

Answer:

Both are false.

Step-by-step explanation:

Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.

Answer:

Spurious relationship

Step-by-step explanation:

A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables

Answer:

3rd one

Step-by-step explanation:

Area = ( lengths )^2

676 = ( lengths )^2

lengths = √676

lengths = 26 cm

Answer:

Step-by-step explanation:

Given,

Vertex (h, k ) = (1,0)

Now,

We know,

f(x) = a(x-h)²+k

Since, it passess through (2, −17)

Put x = 2 and  y = - 17

or, -17 = a(2 - 1)² + 0

or, -17 = a

Now,

f(x) = a(x - h)² + k

     = -17(x - 1)² + 0

     = -17x² + 34x - 17

Answer:

3    2/21

Step-by-step explanation:

used a calculator

Answer:

Mia has 180 counters

Step-by-step explanation:

if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180

36

Step-by-step explanation:

5x is 15

x is 3

12 times 3 is 36

Answer:

5x + 2 = 17

5x = 17 - 2

5x = 15

x = 3

Therfore, 12x = 12 (3) = 36

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

Answer:

x = 55

y = 70

Step-by-step explanation:

since it's all sides are equal its an equilateral triangle

each angle of an equilateral triangle is 60°

therefore,

y - 10 = 60 => y = 60 + 10

y = 70

x + 5 = 60 => x = 60 - 5

x = 55

Answer:

x+5=y-10

x-y = -15

y-10+X+5+X+5=180

2x+y =180

x-y+2x+y =180-15

3x.=165

x. =55

2x+y =180

y =180-(110)

y =70

Answer:

7a - 42

Step-by-step explanation:

1st step is to distribute.

7(a-6)

multiply 7 to "a" and -6

7a - 42

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

Answer:

11 1/5 minutes

Step-by-step explanation:

All you have to do is add up all the songs together.

3 1/2 = 3 30/60

2 57/60= 2 57/60

4 3/4 = 4 45/60

Add this all up

9 132/60

11 12/60

11 1/5

11 1/5 minutes

If this helps please mark as brainliest

Answer:

[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]

Answer:

Step-by-step explanation:

I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!

The volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,

[tex]V=\frac{4}{3}\pi(10)^3[/tex] so

V = 1333.33π inches cubed

If the diameter is 10 and the radius is 5:

[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is

V = 166.67π inches cubed

Answer:

[tex](g + f)(2) = \sqrt 3 - 3[/tex]

[tex](\frac{f}{g})(-1) = 0[/tex]

[tex](g + f)(-1) = \sqrt{15}[/tex]

[tex](g * f)(2) = -3\sqrt 3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =1 - x^2[/tex]

[tex]g(x) = \sqrt{11 - 4x[/tex]

See attachment

Solving (a): (g + f)(2)

This is calculated as:

[tex](g + f)(2) = g(2) + f(2)[/tex]

Calculate g(2) and f(2)

[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]

[tex]f(2) = 1 - 2^2 = -3[/tex]

So:

[tex](g + f)(2) = g(2) + f(2)[/tex]

[tex](g + f)(2) = \sqrt 3 - 3[/tex]

Solving (b): [tex](\frac{f}{g})(-1)[/tex]

This is calculated as:

[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]

Calculate f(-1) and g(-1)

[tex]f(-1) = 1 - (-1)^2 = 0[/tex]

So:

[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]

[tex](\frac{f}{g})(-1) = \frac{0}{g(-1)}[/tex]

[tex](\frac{f}{g})(-1) = 0[/tex]

Solving (c): (g - f)(-1)

This is calculated as:

[tex](g + f)(-1) = g(-1) - f(-1)[/tex]

Calculate g(-1) and f(-1)

[tex]g(-1) = \sqrt{11 - 4 * -1} = \sqrt{15}[/tex]

[tex]f(-1) = 1 - (-1)^2 = 0[/tex]

So:

[tex](g + f)(-1) = g(-1) - f(-1)[/tex]

[tex](g + f)(-1) = \sqrt{15} - 0[/tex]

[tex](g + f)(-1) = \sqrt{15}[/tex]

Solving (d): (g * f)(2)

This is calculated as:

[tex](g * f)(2) = g(2) * f(2)[/tex]

Calculate g(2) and f(2)

[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]

[tex]f(2) = 1 - 2^2 = -3[/tex]

So:

[tex](g * f)(2) = g(2) * f(2)[/tex]

[tex](g * f)(2) = \sqrt 3 * -3[/tex]

[tex](g * f)(2) = -3\sqrt 3[/tex]