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3 years ago

Is 5 1/2 yds greater than 192 ins?

Mathematics

1 answer:

iren2701 [21]3 years ago

6 0

Answer:

Step-by-step explanation:

there is 12 inches in a foot

there are 3 feet in a yard

3 x 12 = 36 in in a yard

36 x 5 1/2 is 198

198 is greater than 192

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Asha made this diagram to solve 92÷34

antiseptic1488 [7]

Answer:

Step-by-step explanation:

8 0

2 years ago

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

balu736 [363]

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test * % share of total grade + score of second major test * % share of total grade + Score of the final exam * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7

3 0

3 years ago

Substitution system of equations How do I solve this?

Fantom [35]

Answer:

x=-6

Y=4

Step-by-step explanation:

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3 years ago

If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?

jeyben [28]

Answer:

1. triangle TCA ~ triangle GOD

4. If TC/GD=3/2, then m<T/m<G=3/2.

Step-by-step explanation:

The statements of the question are

1. triangle TCA ~ triangle GOD

2. AT: OG= AC:OD

3. If TC/GD=3/2, then AC/OD=3/2.

4. If TC/GD=3/2, then m<T/m<G=3/2.

5. If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3.

6. If AC is twice as long as AT, then OD is twice as long as OG

Verify each statement

1) triangle TCA ~ triangle GOD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

Reorder

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

triangle TCA ~ triangle GDO

therefore

The statement is not correct

2). AT: OG= AC:OD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

Applying proportion

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$

The statement is true

3). If TC/GD=3/2, then AC/OD=3/2.

we have that

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$ ---> see part 2)

$\frac{TC}{GD}=\frac{AC}{OD}$

therefore

The statement is true

4). If TC/GD=3/2, then m<T/m<G=3/2

Remember that

In two similar triangles, corresponding angles are congruent

$m\angle T=m\angle G$

$m\angle T/m\angle G=1$

therefore

The statement is false

5). If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3

we know that

If the scale factor of triangle CAT to triangle DOG is a/b. then the scale factor of triangle DOG to triangle CAT is b/a

The scale factor will be the reciprocal

therefore

The statement is true

6). If AC is twice as long as AT, then OD is twice as long as OG

we know that

$\frac{AT}{OG}=\frac{AC}{OD}$

Reorder

$\frac{AT}{AC}=\frac{OG}{OD}$

If AC is twice as long as AT ----> AC=2AT

If OD is twice as long as OG ----> OD=2OG

substitute

$\frac{AT}{2AT}=\frac{OG}{2OG}$

simplify

$\frac{1}{2}=\frac{1}{2}$ ----> is true

therefore

The statement is true

5 0

3 years ago

A hemispherical tank is filled with water and has a diameter of 4 feet. If water weighs 62.4 pounds per cubic foot, what is the

yulyashka [42]

The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if water filled with water in the 4 diameter hemispherical tank and weighs 62.4 pounds per cubic foot.

Step-by-step explanation:

The given is,

A hemispherical tank is filled with water and has a diameter of 4 feet.

Water weighs 62.4 pounds per cubic foot

Step:1

Formula to weight of water is,

= Volume of water tank × weight of water per foot......(1)

Step:2

Formula to find volume of the tank is,

$V = \frac{2}{3} \pi r^{3}$ ...................................(2)

From given, r = Radius of Hemisphere

$r = \frac{d}{2}$

$= \frac{4}{2}$

r = 2 foot

From equation (2),

= $\frac{2}{3}$ × $\pi$ × $2^{3}$

= 16.755 cubic foot

Step:3

From equation (1),

= 16.775 × 62.4 (∵ Water weighs 62.4 pounds per cubic foot )

= 1045.52 pounds ( ∵ $foot^{3}$ × $\frac{pounds}{foot^{3}}$ = $pounds$ )

≅ 1046 pounds

Weight of water in tank = 1046 pounds

Result:

The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if a hemispherical tank is filled with water and it has 4 feet diameter and water weighs 62.4 pounds per cubic foot.

7 0

3 years ago