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kvasek [131]
3 years ago
11

(5 2/7 −1 1/2 )∙(1− 14/53 )

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

I'll teach and give you the answer for you problem (5 2/7 −1 1/2 )∙(1− 14/53 )

Convert mixed numbers to improper fractions 5 2/7 = 37/7:

(37/7-1 1/2) * (1- 14/53

Convert mixed numbers to improper fractions 1 1/2 = 3/2:

(37/7-3/2) * (1- 14/53

Join 37/7-3/2 = 53/14

53/14(-14/53+1)

Join 1-14/53 = 39/53

53/14 * 39/53

Cross-Cancel 53:

39/14

Your Answer As A Improper Fraction---> 39/14

Your Answer As A Mixed Number---> 2  11/14

plz mark me as brainliest :)

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In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.
klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

5 0
3 years ago
A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres
Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

<u>Volume of the 1st sphere:</u>

The formula to determine the volume of the sphere is given by

V=\frac{4}{3} \pi r^3

Volume of the 1st sphere is given by

V=\frac{4}{3}(3.14)(11)^3

V=\frac{4}{3}(3.14)(1331)

V=\frac{16717.36}{3}

V=5572.45

The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

V=\frac{4}{3}(3.14)(8)^3

V=\frac{4}{3}(3.14)(512)

V=\frac{6430.72}{3}

V=2143.57

The volume of the 2nd sphere is 2143.57 cubic feet.

<u>Difference between the volume of the two spheres:</u>

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

                  = 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

7 0
3 years ago
Find the 67th term of the following arithmetic sequence.<br> 14, 20, 26, 32, ...
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Answer:

410

Step-by-step explanation:

You can use the equation f(n)= 14+(n-1)6 and you substitute in 67 for n.

7 0
3 years ago
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Julli [10]

Answer:

ok so we need to find the percent so

8.46 divided by 42.3=0.2

she she tipped 20%

Hope This Helps!!!

5 0
2 years ago
Which set of transformations have been performed on triangle ABC to form triangle A′B′C′? (1 point)
Murrr4er [49]

Answer:

The answer is dilation by a scale factor of 2 followed by reflection about the y- axis.

Step-by-step explanation:

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