What are two decimals whose product is close to 10

Answers

Answer 1

Answer:
There are millions of possible answers.

Here's one: 2.14 and 4.673 .

   2.14 x 4.673 = 10.00022

Another one: 2.55 and 3.922

   2.55 x 3.922 = 10.0011

Just one more: 7.5 and 1.3333

   7.5 x 1.3333 = 9.99975

Answer 2

Answer:

Answer: 0.90 and 0.900

Hope this helped

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What is the length of the base of a right triangle with an area of 15 m² and a height of 3 m?

Answers

Ok since it is a right triangle (1/2)bh = area
(1/2)b3 = 15

b=10m

Answer:

10 :D

Step-by-step explanation:

Multistep Alex needs to varnish the top and the bottom of a dozen rectangular wooden planks. The planks are 8 feet long and 3 feet wide. Each pint of varnish covers about 125 square feet and costs $3.50. a. What is the total area that Alex needs to varnish? b. How much will it cost Alex to varnish all the wooden planks?

Answers

top and bottom
find area of each plank top and m ultiply by 2 then by number of planks
8*3*2*12 (dozen=12)
576

he needs to varnish 576 ft^2
how many 125's are at least 576 (round up since he can't buy fractios of a pint probably)

125x>576
dividee both sides by 125
x>4.608
x=5

5 times 3.5=17.5

a. 576 ft^2
b. $17.5

The coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–2 7
0 6

Line 2
x y
3 0
0 –3

A.

0

B.

exactly 1

C.

exactly 2

D.

infinitely many

Answers

find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line

to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(2,-7)
(0,6)
(x,y)
x1=2
y1=-7
x2=0
y2=6
subsitute
(-7-6)/(2-0)=-13/2
slope=-13/2
subsitute
y=-13/2x+b
subsitute one of the points
(0,6)
x=0
y=6
6=-13/2(0)+b
6=0+b
6=b
y=-13/2+6

now solve for the other equation

(3,0)
(0,-3)
x1=3
y1=0
x2=0
y2=-3
subsitute
(0-(-3))/(3-0)=(0+3)/(3)=3/3=1
y=1x+b
subsitute
(3,0)
x=3
y=0
0=1(3)+b
0=3+b
subtract 3
-3=b
y=x-3

we have the lines
y=-13/2x-6 and
y=x-3
solve for a common solution
y=x-3 and y=-13/2x-6 therefor
x-3=-13/2x-6
add 6 to both sides
x+3=-13/2x
multiply both sides by -2
-2x-6=13x
add 2x to both sides
-6=15x
divide both sides by 15
-2/5=x
subsitute
y=x-3
y=-2/5-3
y=-3 and 2/5 or -17/5
the solution is (-2/5, -17/5)
there is only one solution
the answer is B

Please help me with these two questions sorry the paper got Wet

Answers

8. For this problem, we simply need to take the volume of this cube. As we can remember, the formula for volume is simply length times width times height. In this figure, we have a length of 6, a width of 3, and a height of 4. So all we need to do to find the area is multiply.

6 * 3 = 18

18 * 4 = 72

The volume of our figure is 72 cubic inches.

9. We are trying to find the triangle that fits the description of obtuse and scalene. An obtuse triangle is one which has one angle with a measure of more than 90°. A scalene triangle is one in which no two sides are similar.

Triangle 9a fits this description, so you would mark yes on it.

Triangle 9b does NOT fit the description, since all angles have a measure of less than 90°, so we will mark a no on it.

Triangle 9c also does not fit the description, since it has an angle with a measure of exactly 90° (as indicated by the little square in the corner of the angle), so we will mark no on this one as well.

And there we have it.
Hope that helped! =)

8. 3 x 4 x 6 which equals 72. 72 cubic inches. I'm not good with 9. So sorry!

Can you draw trapezoid three right angles

Answers

its impossible to draw a trapezoid with just three right angles.

a trapezoid has 4 sides, which means all the angles inside the trapezoid must add up to 360 degrees.

if you have just 3 right angles (90x3), you already use up 270 degrees. Leaving you with just 90 degrees left, which is also a right angle. That means, there has to be four, if you have at least 3.

in a cylinder cup, AB=5cm, BC= 12cm. AD is a straw that passes point A and C and CD= 2cm. the length of the straw is:

Answers

Answer:

17.13 cm.

Step-by-step explanation:

In the given scenario, we have a cylinder cup with points A, B, and C, and a straw AD that passes through points A and C. The measurements are as follows:

AB = 5 cm

BC = 12 cm

CD = 2 cm

We can use the Pythagorean theorem to find the length of the straw AD. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, AD is the hypotenuse, and AC and CD are the other two sides. We can write the Pythagorean theorem equation as:

AD^2 = AC^2 + CD^2

Given that AC is the sum of AB and BC:

AC = AB + BC

AC = 5 cm + 12 cm

AC = 17 cm

Now we can substitute the values into the Pythagorean theorem equation:

AD^2 = 17^2 + 2^2

AD^2 = 289 + 4

AD^2 = 293

Taking the square root of both sides to solve for AD:

AD = √293