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son4ous [18]
1 year ago
6

Simplify each of the expression (x-7)(x+3)

Mathematics
1 answer:
emmainna [20.7K]1 year ago
4 0

Answer:

x² - 10x + 21

Step-by-step explanation:

yw

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Find the value of a for which the solution of the inequality is all real numbers
Katen [24]

Answer:

a= \frac{4x+15}{x-3}

Step-by-step explanation:

8 0
3 years ago
Evelyn's made a cake in the shape of a circus tent the cake consisted of a cylinder and a cone .The height of the cone is half t
Lera25 [3.4K]
The volume of the cake is 1470 in³. 
volume of a cylinder = πr² x height
(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height)) 

we know the diameter of the cylinder is 12 in. and the radius is half of the diameter. 
half of 12 is 6, therefore the radius is 6 in. or r = 6 
Assuming pi is 3.14, solve for the height of the cylinder
1470 = (3.14)(6²)(height)
1470 = 3.14 x 36 x height
1470 = 113.04 x height
height ≈ 13 in

Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder. 
half of 13 is 6.5, therefore the height of the cone is 6.5 
the radius of the cone is the same as that of the cylinder, 6 in. 

volume of a cone = πr² × (height ÷ 3)

volume of the cone = (3.14)(6²)(6.5 ÷ 3)
volume of the cone = (3.14)(36)(2.16666)
volume of the cone = 244.92 in³

Now all that's left to find the volume of the whole cake is to add the volume of the cylinder to the volume of the cone. 

1470 + 244.92 = 1714.92 in³



6 0
3 years ago
Find MQ in parallelogram LMNQ .
Liula [17]

Answer:

MQ = 16.4

By the <u>Parallelogram Diagonals Theorem</u> , MP = <u>PQ</u>

So MQ = 2 · <u>MP</u>

<u />

Step-by-step explanation:

<u>Parallelogram Diagonals Theorem</u>

The diagonals of a parallelogram bisect each other, i.e. they divide each other into <em>two equal parts</em>.

P is the point of intersection of the diagonals.

Therefore, MP = PQ and LP = PN

If MP = 8.2, then PQ = 8.2

⇒ MQ = 8.2 + 8.2 = 16.4

8 0
2 years ago
Angle ABC is inscribed in circle O. Points A, B, and C all lie on the circle, and B is the vertex of angle ABC. Angle ABC measur
viktelen [127]

Answer:

94 degrees

Step-by-step explanation:

Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.

The angle of the arc of an inscribed angle is twice the value of the angle creating it.

Because the distance from the opposite side of the circle is twice longer  than coming from the center to create the same arc.

So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.

7 0
2 years ago
5:_= 1:2 <br> 6th grade math please help
Olegator [25]

Answer:

5:10

Step-by-step explanation:

because 5 is half of ten and 1 is half of 2

8 0
2 years ago
Read 2 more answers
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