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stich3 [128]
3 years ago
14

The weight that can be safely supported by a​ 2- by​6-inch support beam varies inversely with its length. A builder finds that a

support beam that is 6 feet long will support 800 pounds. Find the weight that can be safely supported by a beam that is 16 feet long.
Mathematics
1 answer:
maw [93]3 years ago
7 0
800/6=x/16         6x=12800          divide and get 2133   1/3
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The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how m
Tresset [83]

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

6 0
2 years ago
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions
liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0
3 years ago
Quinn had $4.00. He spent 1/2​ of his money on a baseball card, 1/4 of it on a drink, and 1/8 of it on bubble gum. How much mone
Pepsi [2]

Answer:

$0.50

Step-by-step explanation:

He spent 2 on a card 1 on a drink and 1/2 on a piece of gum.

4 - (2+1+1/2) = 1/2

I am not sure it's correct.

4 0
2 years ago
Read 2 more answers
How do you determine the slope interscept equation of two given pointa
DiKsa [7]

Step-by-step explanation:

To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).

After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.

y - y1 = m(x - x1)

After this, you can solve for y and that will be your slope intercept form.

7 0
2 years ago
The question is below answer please
liraira [26]
1. 51
2. 10
3. 14
4. 7
5. 13
6. 6
7. 4
8. 22
9. 29
10. 36
You just have to cross multiply and then divide it by 100
7 0
3 years ago
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