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3 years ago

Use Order of Operations to simplify the following: (5 + 22) x (35 -27) + 6²

Mathematics

2 answers:

Savatey [412]3 years ago

7 0

252 - don’t forget to use GEMDAS!

Ede4ka [16]3 years ago

7 0

Answer: 216 + 6^2 = 252

Step-by-step explanation:

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One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

Carl earned grades of 62 78 59 and 89 on four math tests what is the mean if his grades

cluponka [151]

Answer:

The answer is 72

Step by step Explanation:

You add 62 + 78 + 59 + 89

And it equals 288

Then divide that answer by 4

And the answer is 72

5 0

3 years ago

Read 2 more answers

The number 6,253 rounded to the nearest hundred is —————

faust18 [17]

Answer:

6300

Step-by-step explanation:

253 is closer to 300 than to 200

6 0

4 years ago

Read 2 more answers

A grocery store chain has been tracking data on the number of shoppers that use coupons. the data shows that 71% of all shoppers

sashaice [31]

The confidence interval comes out to be (0.685,0.735).

Calculating the Confidence Level and Other Terms

The confidence level can be calculated as follows,

z = $\frac{36}{40} * 100%$ %

z = 90 %

The margin error is given as, E= 0.025

The p value in this case is 0.71

Calculating the Confidence Interval

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Confidence interval can be obtained by using the following formula,

(p-E, p+E) = (0.71-0.025, 0.71+0.025).

Therefore, the confidence interval is (0.685, 0.735).

Learn more about confidence interval here:

brainly.com/question/24131141

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3 0

2 years ago

2 2/3 + 2 By The Way, This is Fractions

Vilka [71]

4 2/3. add the twos and keep the 2/3

4 0

3 years ago