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kirill115 [55]
2 years ago
12

(HELP FAST )What is the solution to this system of equations? *

Mathematics
1 answer:
Phantasy [73]2 years ago
8 0

Answer:

(1,3) should be the answer due to the fact that both lines intersect at that point.

Step-by-step explanation:

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A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid i
Temka [501]

Answer:

9.48

Step-by-step explanation:

Complete question

<em>A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the​ pyramid?</em>

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = <em>h²+</em>8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

<em>Note that the value of the slant height was assumed to solve the problem</em>.

3 0
2 years ago
Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=
RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0
2 years ago
20 POINTS , ALSO GIVING BRAINLIEST , PLEASE HURRY !!
liq [111]

Answer:

.5236

Step-by-step explanation:

Formula for sphere volume:

V = \frac{4}{3} \pi r^{3}

substiture 0.5 for r:

\frac{4}{3} \pi 0.5^{3} = .5236

5 0
3 years ago
A group of friends wants to go to the amusement park. They have $246.75 to spend on parking and admission. Parking is $14, and t
MAXImum [283]

Answer:8 people can goStep-by-step explanation:117.50 minus 5.50 is 112. then divide by 14. 8

8 0
1 year ago
Find the radius of the circle which has the same area
Neko [114]

Answer:

13 cm

Step-by-step explanation:

We can get the answer in the following way:

4 0
3 years ago
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