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2 years ago

Vasily states that−6(5g−7h+9−10g)

Mathematics

1 answer:

fredd [130]2 years ago

7 0

Answer:

A. Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.

Step-by-step explanation:

Given the expression;

$-6 (5g - 7h + 9 - 10g)$

Rearranging the above, we have;

$-6 (5g - 10g - 7h + 9)$

Simplifying, we have;

$-6 (-5g - 7h + 9)$

Multiply, to open the bracket;

$30g + 42h - 54$

Therefore, Vasily should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.

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8. The two triangles are congruent as suggested by their appearance. Find the value of all the variables. The

adelina 88 [10]

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

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2 years ago

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Which solid has a greater volume

Triss [41]

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

Step-by-step explanation:

Cylinder:

-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:

$V = \pi r^2 h$

$V = \pi 2^2 6$

-Solve:

$V = \pi 2^2 6$

$V = \pi \times 2^2 \times 6$

$V = \pi \times 4 \times 6$

$V = \pi \times 24$

$V = 24\pi \approx 75.39$

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

Cone:

-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:

$V = \frac{1}{3} \pi r^2h$

$V = \frac{1}{3} \pi 3^28$

-Solve:

$V = \frac{1}{3} \pi 3^28$

$V = \frac{1}{3} \times \pi \times 3^2 \times 8$

$V = \frac{1}{3} \times \pi \times 9 \times 8$

$V = \frac{1}{3} \times \pi \times 72$

$V = \frac{1}{3} \pi \times 72$

$V = 24\pi \approx 75.39$

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: $75.39$ $ft^3$

Cone: $75.39$ $ft^3$

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2 years ago

Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm

Andreyy89

Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

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3 years ago

On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you se

kykrilka [37]

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

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Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent = $\dfrac12(2x+12)$

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

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3 years ago

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Assoli18 [71]

Answer: acute angle, straight line

Step-by-step explanation:

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