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2 years ago

Make Sense and Persevere The sum of four

1 answer:

8 0

sum of the four consecutive integers is 238; The next step is to represent the four consecutive integers using the variable “ n “. Let n be the first integer. Since the four integers are consecutive, this means that the second integer is the first integer increased by 1 or {n + 1}.

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A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as

Juliette [100K]

Answer:

4 units

Step-by-step explanation:

The volume of a square pyramid is (a²)*h/3

256=a²*12/3

256=a²*4

256/4=a²

64=a²

a=8

Now we know that the square is 8 by 8.

The volume of a square prism is a²h

256=64h

256/64=h

h=4

Also, a square pyramid is 1/3 the volume of a square prism.

12÷3=4

3 0

3 years ago

Suppose the function f(x) = 0.035x represents the number of U.S. dollars equivalent to x Russian rubles, and the function g(x) =

const2013 [10]

Answer:

g(f(x)) = 3.15x

Step-by-step explanation:

To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.

If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,

g(f(x)) = 90 (0.035x)

g(f(x)) = 3.15x

THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.

4 0

2 years ago

Please help asap will give brainliest!!

Anit [1.1K]

Answer:

802

Step-by-step explanation:

802

6 0

3 years ago

4.5(8-x) + 36=102-2.5(3x+24) what’s x?

maxonik [38]

Let's solve your equation step-by-step.4.5(8−x)+36=102−2.5(3x+24)Step 1: Simplify both sides of the equation.4.5(8−x)+36=102−2.5(3x+24)Simplify: (Show steps)−4.5x+72=−7.5x+42Step 2: Add 7.5x to both sides.−4.5x+72+7.5x=−7.5x+42+7.5x3x+72=42Step 3: Subtract 72 from both sides.3x+72−72=42−723x=−30Step 4: Divide both sides by 3.3x3=−303x=−10

3 0

3 years ago

Read 2 more answers

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago