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anzhelika [568]
3 years ago
6

The perimeter of a rectangular field is 336 m. If the length of the field is 89 m, what is its width?​

Mathematics
1 answer:
exis [7]3 years ago
7 0
The length of the field will be calculated as:
P=2(L+W)
P=376
W=89
thus substituting the values in the equation we get;
376=2(L+89)
376/2=(L+89)
solving for L;
188=L+89
L=188-89
L=99 yards
therefore the length is 99 yards

Hope it helps!
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A piggy bank contains nickels and dimes. There are 160 total coins valuing $10.50. Think about a system of equations that can be
Elodia [21]
x + y = 160 \\ 0.05x + 0.1y = 10.50
First, Substitute x + y = 160 into equation
x = 160 - y
0.05(160 - y) + 0.1y = 10.50 \\ 8 - 0.05y + 0.1y = 10.50 \\ 0.05y = 2.50 \\ y = 50
Substitute that into
x + 50 = 160 \\ x = 110

The answer is 110.

Hope this helps. - M
6 0
3 years ago
I need help combining like terms 2-x^3-4+3y+y+y+5
OLEGan [10]

Answer:

-x³ + 5y + 3

Step-by-step explanation:

It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.

- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4

One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.

- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.

- x³ + 5y + 5 + 2 - 4

Lastly, combine the constants (5 + 2 - 4):

- x³ + 5y + 3

Please mark my answers as the Brainliest if you find my explanations helpful :)

3 0
3 years ago
an open concrete tank is internally 1m wide, 2m long and 1.5m deep, the concrete being 10cm thick. Calculate the capacity of the
mixer [17]
Capacity of tank in litres:

1x2x1.5=3m^3 or 3000 litres

Volume of concrete:

(0.1*1.5*1*2)+(0.1*1.5*2(0.1*2))*2)+(0.1*1.2*2.2)=0.3+0.66+0.264=1.224 m^3 of concrete

(Thickness x Depth x Width excluding the thickness of the wall x Two sides) + (Thickness x Depth x Length including the thickness of the wall on both sides x Two sides) + (Base slab dimensions)
7 0
3 years ago
Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4x−4y=−4x 4 Select the corre
Amiraneli [1.4K]

System of equations helps us to compare two different situations. The system is  Independent Consistent System.

<h3>What is System of equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given to us

y = 4x - 4

y = -4x + 4

As we have the two equations, substitute the value of y of both the equations,

4x - 4 = -4x + 4

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Since the two equations have a unique solution, therefore, the system is Independent Consistent System.

Learn more about System of equation:

brainly.com/question/12895249

8 0
3 years ago
A NASA test rocket launch is set up so that once the rocket takes off from a landing platform,It will splash down safely in a bo
Aleonysh [2.5K]

Answer:

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Step-by-step explanation:

This is a projectile question.

We use the equation for the range of a projectile since we are given the horizontal distance and angle of projection.

So, R = U²sin2θ/g where R = range, U = initial speed of rocket, θ = projection angle and g = acceleration due to gravity = 9.8 m/s².

Since it is given that the water body is 5 km away, R = 5 km = 5000 m and θ = 30°

So, making U subject of the formula, we have that

U = √(gR/sin2θ)

So, substituting the values of the variables, we have

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U = √[49000 m²/s²/sin60°]

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U = √[56,580.33 m²/s²]

U = 237.87 m/s

So the minimum speed of the rocket necessary to make sure the rocket reaches the water surface is U = 237.87 m/s

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3 years ago
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