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Studentka2010 [4]
3 years ago
10

What is the width of a rectangle with an area of 5/8 inches squares and a length of 10 inches.

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
So we are given the area, length and need to find the width
to find the width 
width  = area / length
so to plug in what we know
width = 5/8 divided by 10
width = 1/16 

Hope this helps :)
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3. A jewelry store buys small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diag
ElenaW [278]

Answer:

1) The lateral area is LA=95 cm²

2) The surface area is SA=275  cm²

The answer is the option D) 95 cm² ; 275 cm²

Step-by-step explanation:

we know that

The surface area of the box (rectangular prism) is equal to

SA=2B+LA

where

B is the area of the base

LA is the lateral area of the box

<em>Find the lateral area</em>

LA=PH

where

P is the perimeter of the base

H is the height of the box

substitute

LA=2[15+6](2.26)=94.92 cm²

Round to the nearest whole number

LA=95 cm²

<em>Find the area of the base B</em>

B=(15)(6)=90 cm²

Find the surface area of the box

SA=2B+LA

substitute the values

SA=2(90)+95=275  cm²

5 0
3 years ago
Pls send this answer pls pls pls<br> no fake answer pls pls
damaskus [11]

Answer:

6.75×10^5

Step-by-step explanation:

that's the answerrr

4 0
3 years ago
Find the domain of the function f(x)=Log(|x-7|-3) and give the solution in interval notation
Alecsey [184]

Answer:

(-∞, 4) ∪ (10, ∞)

Step-by-step explanation:

A logarithm y = log x can only take x-values greater than 0. It's domain is (0, ∞). If you put log(0) or log of any negative number into a calculator, it'll return an error. So when you have a logarithm like yours, f(x) = log(|x - 7| - 3), you need to make sure you take out any x value that could give you a negative result or 0.

Take the argument of the logarithm, |x - 7| - 3, and pull it aside. You can solve it one of two ways: by looking at it and plugging in values and figuring out which values give you zero or a negative number (trial and error), or by setting it equal to zero and solving for x. I'll show you the second approach:

|x - 7| - 3 = 0 ... get the absolute value bars alone

|x - 7| = 3 ... absolute value means "this distance from 0 on a number line", so what your equation means is |x - 7| is 3 units away from zero. But we don't know if it's three units to the left (negative 3) or three units to the right (positive three). So we set up both.

x - 7 = 3

x - 7 = -3

Solve both equations, and get x = 10 for the top equation, and x = 4 for the bottom equation. This gives you the values you need to use in your interval notation. 4 and 10 both will give you 0 if you plug them into |x - 7| - 3, and 0 is outside of the domain of a logarithm. You can't have negative numbers either, and you'll see that if you try to plug in 5, 6, 7...all the way up to 10, you'll either get a negative result or 0. Basically, anything between 4 and 10, including 4 and 10 won't do it for you. x has to be less than 4 or greater than 10 for your original f(x) function to be defined.

Now that you've identified what ISN'T in your domain, all you have to do is set it up in interval notation. You're clear for everything from negative infinity up to 4, but at exactly 4 (if you set x = 4 and plug it in), your result is undefined. Exactly at 10, it's undefined, but anything greater than 10 works fine. So (-∞, 4) ∪ (10, ∞) is your answer.

8 0
3 years ago
The daily profit, P, of a local bakery can be calculated using the formula P=m-(250+4h) when employees work a total of h hours a
qwelly [4]

Answer:

m=665+4h

Step-by-step explanation:

Profits of the local bakery is given by

P=m-(250+4h)

where

m = Amount of money to be received

P = Profit

h = Number of hours worked

Now P = $415

So,

P+(250+4h)=m\\\Rightarrow m=P+250+4h\\\Rightarrow m=415+250+4h\\\Rightarrow m=665+4h

The equation to calculate the amount of money, m, the bakery should receive if the desired profit is $415 is m=665+4h.

5 0
3 years ago
A glasshouse is in the shape of a square pyramid. Calculate the area of the four triangle faces to be nearest square metre if th
Eduardwww [97]

Answer:

  789 m²

Step-by-step explanation:

Consider the cross section created by a vertical plane through the apex of the pyramid and bisecting opposite sides. The cross section is an isosceles triangle with base 20 m and height 17 m. One side of this triangle is the slant height of the face of the pyramid.

The side of the triangle above can be found using the Pythagorean theorem. A median from the apex of the triangle will divide it into two right triangles, each with a base of 10 m and a height of 17 m. Then the hypotenuse is ...

  s² = (10 m)² +(17 m)² = 389 m²

  s = √389 m ≈ 19.723 m . . . . . slant height of one triangular face

__

The area of one triangular face is ...

  A = (1/2)sb

where s is the slant height above, and b is the 20 m base of the face of the pyramid. There are 4 of these faces, so the total area is ...

  total lateral area = 4A = 4(1/2)sb = 2sb = 2(19.723 m)(20 m)

  total lateral area ≈ 789 m²

7 0
3 years ago
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