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tensa zangetsu [6.8K]
2 years ago
15

Is a = 8 a solution to the inequality below? 4 > a -6

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
6 0

Answer:

yes because the equation will equal 2

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What shapes are formed by cross sections parallel to the base of a hexagonal pyramid?
siniylev [52]

The answer is the option B, which is: B. Similar hexagons.

The explanation for this answer is shown below:

By definition, a cross section is the shape that is formed when a plane cuts or makes a slice through a solid.

The hexagonal pyramid has an hexagonal as its base. If you make slices parallel to the base of this pyramid, you will see the shape of this base in different sizes. Therefore the shapes that are formed by cross sections parallel to the base of the hexagonal pyramid are similar hexagons.

7 0
3 years ago
Which lists all the integer solutions of the inequality |x| < 4?
lbvjy [14]
I am almost positive that it is A. Because the lines mean absolute value so that would change the negative numbers to positive. And since there is not a line under the less than sign 4 can not be in the answer.
6 0
3 years ago
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How do you factor 33x^5y^2+21x^3y+9x^3y^3?
scZoUnD [109]

Answer:

3x³y(11x²y+3y²+7)

Step-by-step explanation:

hope that helps

7 0
3 years ago
Jacob is going on a road trip across the country . He covers 10 miles in 15 minutes . He spends 10 minutes buying gas and some s
iren [92.7K]

Answer: 3.33miles

Step-by-step explanation:

given data:

distance covered in first 15 minutes = 10 miles

time spent buying gas and some snacks = 10mins.

= 10/15 * (15 –10 )

= 3.33miles

jacob has traveled 3.3miles between 10 and 15 minutes.

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3 years ago
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A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Ronch [10]
Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
45^{2} = s^{2}+ s^{2}
45^{2} = 2s^{2}
45^{2} = 2s^{2}
1012.5 = s^{2}
s=31.82

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
\frac{31.82}{5x} = \frac{45}{y}
y=7.07x

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}
50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}
0= -21x^{2}-127.28x+1012.5
x=4.55,-10.61

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0
3 years ago
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