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myrzilka [38]
3 years ago
9

What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0

Answer:

0.216

Step-by-step explanation:

8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216

is this the standard form?

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A rectangle has vertices W(2,3), X(2,6), Y(7,6), and Z(7,3).
KiRa [710]

Answer:

Step-by-step explanation:

A rectangle has 4 sides.

2 of them are lengths and 3 of them are widths.

We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.

We can find all the 4 lengths by using Distance Formula from points:

W and X

X and Y

Y and Z

W and Z

Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find

Distance of WX, which would be same as distance of YZ

also

Distance of XY which would be same as distance of WZ

<em><u>Note:</u></em> Distance Formula is  D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}  where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points

4 0
3 years ago
How to i expand this ? x3 (3x - 5)
Nikitich [7]
Use the distributive formula

a(b - c) = ab - ac

x^3(3x - 5) = \boxed{\bf{3x^4 - 5x^3}}
5 0
3 years ago
mike fitness center charges $30 per month for a mrmbership .all day fitness club charges $22 per month plus an $80 initiation fe
Aliun [14]

Step-by-stm represents the number of months

Mike's: 30m

All-Day: 80 + 22m

 

30m = 80 + 22m  and im pretty sure the answer is 102

4 0
3 years ago
Find the missing side.<br> Round to the nearest tenth.<br> For all 4 pics
Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

<u>1st pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) Cos 27 (cos 27 = 0.89) = \frac{x}{20}

(new equation) 0. 89 = \frac{x}{20}

(multiply 20 on both sides) 0.89 x 20 = \frac{x}{20} x 20

(solve) 17.8 = x

<u>2nd pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write equation) tan 40 (tan 40 = 0.84) = \frac{32}{x}

(new equation) 0.84 =  \frac{32}{x}

(multiply 32 on both sides) 0.84 x 20 =  \frac{32}{x} x 20

(solve) 16.8 = x

<u>3rd pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) cos 55 (cos 55 = 0.57) = \frac{16}{x}

(new equation) 0.57 = \frac{16}{x}

(multiply 16 on both sides) 0.57 x 16 = \frac{16}{x} x 16

(solve) 9.1 = x

<u>4th pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write eqaution) tan 42 (tan 42 = 0.90) = \frac{x}{15}

(new equation) 0.90 = \frac{x}{15}

(multiply 15 on both sides) 0.90 x 15 = \frac{x}{15} x 15

(solve) 13.5 = x

4 0
2 years ago
Self-Check<br> Practice Exercise 4
ryzh [129]

Answer:

A= Congruent

B= Supplementary

C= Congruent

D= Congruent

E=Supplementary

Step-by-step explanation:

5 0
3 years ago
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