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1 year ago

The 3 side lengths of a right-

Mathematics

1 answer:

Gekata [30.6K]1 year ago

3 0

Answer: the area of the triangle = 10.5 cm²

Step-by-step explanation:

Let 3x=a, 4x=b, 5x=c.

Hence,

P=2*(a+b+c)

36=2*(3x+4x+5x)

36=2*12x

36=24x

Divide both parts of the equation by 24:

1.5 cm=x

a=3x

a=3*1.5

a=4.5 cm

b=4x

b=4*1.5

b=6 cm

c=5x

c=5*1.5

c=7.5 cm

$\displaystyle\\S=\frac{a*b}{2} \\\\S=\frac{4.5*6}{2} \\\\S=3.5*3\\\\S=10.5\ cm^2$

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Louren measures the distance around her circular mirror to

Veseljchak [2.6K]

Answer:

53 cm.

Step-by-step explanation:

Circumference = pi times diameter

We are trying to find diameter so rearrange

Circumference/pi = diameter

166.5/pi = 52.998596

Approximately 53 centimeters of lace

3 0

2 years ago

Select the correct answer from the drop-down menu.

Fittoniya [83]

Answer:

control group

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

Identify the zeros of the function f(x) =2x^2 − 2x + 13 using the Quadratic Formula. SHOW YOUR WORK PLEASE!!

Blababa [14]

Answer:

the answer is 13

Step-by-step explanation:

this is the answer I got if its not it then give me some answer choices

5 0

3 years ago

Does the point (-2, 1) satisfy the inequality 6x + y > -11? YES OR NO

natali 33 [55]

No, the given point does not satisfy the inequality

Solution:

Given inequality is 6x + y > -11

We have to find whether the point (-2, 1) satisfies the inequality

When we subsitute the given point into given inequality, values in both sides of inequality must satisfy the condition

Let us substitute the given point (x, y) = (-2, 1) in given inequality

6(-2) + 1 > -11

-12 + 1 > -11

-11 > -11 which is not true, Since -11 is equal to -11

So the given point does not satisfy the inequality

7 0

2 years ago