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3 years ago

AN SOMEONE PLEASE HELP ME SOLVE THIS!!

Mathematics

1 answer:

stepan [7]3 years ago

3 0

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

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Find the greatest number that will divide 63, 45 and 69 so as to leave the same remainder.

jeka57 [31]

Answer:

Step-by-step explanation:

Let n be unknown divisor and a be the same remainder, then

$63=q_1\cdot n+a\\ \\45=q_2\cdot n+a\\ \\69=q_3\cdot n+a$

Subtract a from all equalities:

$63-a=q_1\cdot n\\ \\45-a=q_2\cdot n\\ \\69-a=q_3\cdot n$

Subtract them:

$63-45=(q_1-q_2)n\Rightarrow 18=(q_1-q_2)n\\ \\69-63=(q_3-q_1)n\Rightarrow 6=(q_3-q_1)n\\ \\69-45=(q_3-q_2)n\Rightarrow 24=(q_3-q_2)n$

The greatest number is 6. When you divide numbers 63, 45, 69 by 6, you'll get remainders 3, 3, 3, respectively.

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2 years ago

Find the value of f(x), when x=4

OleMash [197]

Answer:

f(4)

Step-by-step explanation:

replace the x in f(x) with 4

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3 years ago

124 7/8 drained in 25 mins how much is drained each min

DIA [1.3K]

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

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2 years ago

Plz plz plz plz plz plz plz help me

Romashka-Z-Leto [24]

Step-by-step explanation:

Each person's donation ratio is:

Donation 1 is 4/15 of 75

Donation 2 is 4/15 of 75

Donation 3 is 7/15 of 75

4/15(75) = 5 * 4 = 20

7/15(75) = 5 * 7 = 35

Each person's donation amount is:

$20

$35

Check out work:

20 + 20 + 35 = 75!

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3 years ago

A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of

liubo4ka [24]

9514 1404 393

Answer:

boat: 72 km/h
current: 16 km/h

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

(448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

(440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

(56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

(88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

4 0

3 years ago