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3 years ago

A rectangle has a perimeter 60m and base21 m what is its area

Mathematics

1 answer:

Komok [63]3 years ago

5 0

Since you're given the base for the perimeter of the rectangle, you can solve this question quickly.

First, you multiply 21 by 2, because there are two bases to a rectangle.

You'll get 42, and you will have to do 60-42 to find the perimeter for the remaining two sides.

60-42 will give you 18, so you can divide that by 2 because there are two other sides, giving you 9.

Now you have the side lengths 21 and 9. Area is base*height, so you can multiply 21*9 and get 189.

Therefore, the area of the rectangle is 189 meters

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Initial Knowledge Check

Law Incorporation [45]

Answer:

Step-by-step explanation:

We first need to figure out what the equation is for this set of circumstances before we can answer any questions. We will use the equation

$A(t)=P(1+r)^t$ which is just another form of an exponential equation where

(1 + r) is the growth rate, P is the initial investment, and t is the time in years. We will fill in the values we know first to create the equation:

$A(t)=4000(1+.11)^t$ which simplifies to

$A(t)=4000(1.11)^t$

Now we'll just sub in a 1 for t and solve, then a 2 for t and solve.

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A(t) = 4000(1.11) so

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3 years ago

Four different roads from Town A to Town B, and three different roads run from Town B to Town C. Two roads also run from Town A

Studentka2010 [4]

Answer:

Step-by-step explanation:

The answer is simply 4 x 3 = 12.

8 0

2 years ago

How to do this step by step

Marina CMI [18]

1. 36 = 6·6 and 42 = 6·7 have a common factor of 6.

... x⁴ and x² have a common factor of x²

The GCF is 6x².

The factorization is 36x⁴ -42x² = 6x²(6x² -7)

2. All coefficients are multiples of 4. All variable factors are multiples of x³.

The GCF is 4x³.

The factorization is 4x⁵ -8x⁴ -4x³ = 4x³(x² -2x -1)

3. The GCF of coefficients 6 and 15 is (15 mod 6) = 3, which is also a factor of the other coefficients. The lowest power of m, which is m² is also a factor of the other terms.

The GCF is 3m².

The factorization is 6m⁵ -15m⁴ -21m³ +27m² = 3m²(2m³ -5m² -7m +9)

5 0

2 years ago

Can someone help me find this answer?

Korvikt [17]

Answer:

$m$

Step-by-step explanation:

we know that

In a quadrilateral inscribed in a circle opposite angles are supplementary so

$m$

Step 1

Find the value of x

substitute the values

$x^{2} +3x=180\\ \\ x^{2} +3x-180=0$

using a graphing tool

solve the quadratic equation

see the attached figure

$x=12\°$

step 2

Find the measure of angle D

$m$

substitute

$74\°+m$

$m$

5 0

3 years ago

A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also f

Soloha48 [4]

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min

7 0

2 years ago