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mylen [45]
3 years ago
8

I need to simplify this expression : 3.2 + (b + 5.7 )

Mathematics
1 answer:
Leni [432]3 years ago
6 0
The simplified expression is b+8.9
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Simplify each expression using the proper order of operations. please help thank you so much :)
Tasya [4]

Answer:

\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4

12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}

\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12

7^2 - 5* 8+1 = 10

(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18

Step-by-step explanation:

<em>Required: Solve the expressions using proper operation order</em>

To solve this, we'll make use of BODMAS

--------------------------------------------------------------------------------------------------------

\frac{41 - 3^2}{\sqrt{36} * 3 - 26}

Evaluate all squares and square roots

\frac{41 - 3*3}{\sqrt{36} * 3 - 26}

\frac{41 - 3*3}{6 * 3 - 26}

Evaluate the numerator (Start by multiplying 3 * 3)

\frac{41 - 9}{6 * 3 - 26}

Subtract 9 from 41

\frac{32}{6 * 3 - 26}

Evaluate the denominator (Start by multiplying 6 * 3)

\frac{32}{18 - 26}

\frac{32}{-8}

Divide 32 by -8

-4

Hence;

\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4

--------------------------------------------------------------------------------------------------------

12 + 3\sqrt{8} * (9 - 2)

Start by evaluating the bracket

12 + 3\sqrt{8} * 7

Then evaluate the multiplication

12 + 21\sqrt{8}

Simplify the square root

12 + 21\sqrt{4 * 2}

Split the square root

12 + 21\sqrt{4} * \sqrt{2}

Take Square root of 4

12 + 21 * 2} * \sqrt{2}

12 + 42 \sqrt{2}

Hence;

12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}

--------------------------------------------------------------------------------------------------------

\frac{28 - (7^2 + 3)}{-13 + 3 * 5}

Evaluate 7²

\frac{28 - (49 + 3)}{-13 + 3 * 5}

Evaluate all expression in the bracket

\frac{28 - (52)}{-13 + 3 * 5}

\frac{28 - 52}{-13 + 3 * 5}

Evaluate 3 * 5

\frac{28 - 52}{-13 + 1 5}

\frac{-2 4}{2}

-12

Hence;

\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12

--------------------------------------------------------------------------------------------------------

7^2 - 5* 8+1

Evaluate 7²

49 - 5* 8+1

Evaluate 5 * 8

49 - 40 + 1

10

7^2 - 5* 8+1 = 10

--------------------------------------------------------------------------------------------------------

(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1

Evaluate all square root and cube root

(2 * 4) - (3 * 9) + 1

Solve the expressions in bracket

8 - 27 + 1

-18

Hence;

(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18

7 0
2 years ago
Find the surface area of the figure. Round to the nearest tenth if possible.​
Cloud [144]
Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2
6 0
2 years ago
What is the value of x in the figure shown below
lesya [120]

Answer:

x = 30 degrees

Step-by-step explanation:

These triangles are perfectly symetrical. This is shown by the length of sides given in the problem. Since the triangle is symetrical, E is equal to B just as D is equal to C. Since B is 30 degrees, we can tell that E is also 30 degree.

5 0
2 years ago
Please help i will mark brainlist
ziro4ka [17]

Answer:

10×3=30 so the area is 30 square feet

7 0
3 years ago
Read 2 more answers
Find the length of FT¯¯¯¯¯¯¯ A. 77.71 B. 72.47 C. 56.84 D. 49.42
Mkey [24]

Answer:

D, 49.42

Step-by-step explanation:

ΔVFT=180-90-43=47

formula

a/sin A = b/sin B/ = c/sin C

So,

FV/sin90=53/sin47

FV=72.4684

FT=√(72.4684)^2-(53)^2

FT=49.4234

Ans:D

5 0
3 years ago
Read 2 more answers
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