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3 years ago

What does x equal? Please help

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

x=-9

Step-by-step explanation:

$9^{2x-3}=27^{2x+4}\\(3^2)^{2x-3}=(3^3)^{2x+4}\\3^{2(2x-3)}=3^{3(2x+4)}\\3^{4x-6}=3^{6x+12}$

As the bases(3) are same,

we can conclude that the powers are equal.

Hence,

$4x-6=6x+12\\-6-12=6x-4x\\-18=2x\\x=-18/2\\x=-9$

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Find the volume of the cylinder. round to the nearest tenth.

vaieri [72.5K]

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

5 0

2 years ago

Read 2 more answers

Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o

nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

$\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353$

So distance AB is 74 metres.

5 0

2 years ago

What is (2m+7)+(4d+6)

SpyIntel [72]

Answer:

4d+2m+13

Step-by-step explanation:

5 0

2 years ago

What two numbers multiply to equal -27 but adds up to equal -6

kkurt [141]

Answer:

-9 and 3

Step-by-step explanation:

as -9×3= -27

and

-9+3= -6

4 0

3 years ago

Please! Need help! Please answer 6 through 10! Brainliest! As a reward!

True [87]

Answer:

6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in

Step-by-step explanation:

6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:

1/2(10)=5

5*12=60 cm

72 is closest to this.

7) Volume is l*w*h, so:

2.5*1.5=3.75

3.75*4=15 cm

8) Again, the height is 5 and the base is 12. 1/2(b)h means:

1/2(12)=6

6*5=30 in

9) All triangles have 180 degrees. So first, add the degrees you know:

33.5+90=123.5

Now, subtract that from 180:

180-123.5=56.5

10) Trapezoids can be found by multiplying the height by the smaller base, so:

6*8=40 in

Hope this helped!

4 0

2 years ago