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2 years ago

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden.

Mathematics

1 answer:

MakcuM [25]2 years ago

6 0

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

$w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16$

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

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topjm [15]

Answer:6x3+6x8

Step-by-step explanation:

First, you see A is 18 plus 48 you first do 18 sq ft you could multiply 6x3, and 6x3 is one of the options next what x what is 48 that you see of the answers and 6 x 8 is 48 so the answer is the bottom left.

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2 years ago

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at a basketball game the home team scores 60% of the points the home team scores 45 points how many points are scored in all

bekas [8.4K]

Answer:75

Step-by-step explanation:

45÷60%×100%=75 points in total

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3 years ago

A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how m

fomenos

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V = $\pi r^2h$

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V = $\pi * 10^2*20 = 6283.19 ft^3$

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

$\frac{70}{100} * 6283.19 = 4398.23 ft^3$

1 cubic foot ( $ft^3$ ) is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

7 0

2 years ago

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By determining f prime left parenthesis x right parenthesis equals ModifyingBelow lim With h right arrow 0 StartFraction f left

aniked [119]

Answer:

70 is answer

Step-by-step explanation:

Given that a function in x is

$f(x) = 5x^2$

we have to find f'(7)

we know by derivative rule derivative of a function is

$f'(x) = lim_({h-->0}) \frac{f(x+h)-f(x)}{h}$

For finding out at 7 we replace x by 7

$f'(7) = lim_({h-->0}) \frac{f(7+h)-f(7)}{h}$

= $lim\frac{5(7+h)^2-5*7^2}{h} \\= lim \frac{10h*7+h^2}{h} \\= 70+h = 70$

So f'(7) = 70

answer is 70

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3 years ago

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A summer camp cookout is planned for the campers and their families. there is room for 450 people. each adult costs $7, and each

Yuri [45]

Hence, the required inequality is x+y≤4, 7x+4y≤1150

<h2>What is inequality?</h2>

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

<h3>How to solve?</h3>

Let x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

x+y≤4

7x+4y≤1150

to learn more about inequality: brainly.com/question/16562548

#SPJ4

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1 year ago

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden. ​

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden.