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telo118 [61]
3 years ago
11

1178 × 125 = show work

Mathematics
2 answers:
zlopas [31]3 years ago
7 0
1178x100=117800

1178x20=23560

1178x5=5890

117800+23560+5890=147250
Nady [450]3 years ago
4 0
1178 x 125 = 147250

Hope this helps!
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If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2
alukav5142 [94]

Answer:

The transformed points of the triangle ABC are A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right), B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right), C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

A' (x,y) = \frac{1}{2}\cdot (1,1)

A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)

B' (x,y) = \frac{1}{2}\cdot (9,1)

B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)

C'(x,y) = \frac{1}{2}\cdot (1,9)

C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

7 0
3 years ago
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


8 0
3 years ago
What is the place value of the 5 in 59.085?
Leokris [45]

Answer:

Tens

Step-by-step explanation:

It's in the tens place because, it's after the decimal point so don't worry about anything after the decimal. So it's just 59. 9 is the first digit making it in the ones place. So that leaves 5.

5 0
2 years ago
Walking lights are placed around the perimeter of rectangular garden 30 feet be 16 feet and are placed 18 inches apart. How many
Masteriza [31]
Well we can find the perimeter by using the formula P=2L + 2W 
P=2(30) + 2(18)      P=60+36     P=96
I believe we can divide the perimeter by 18 to find the total amount of lights needed. 
96÷18=5.333333 
So we know at least 5 lights are needed.
I'm not sure if I'm correct, but I hope this helped anyways :)
3 0
3 years ago
At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top
nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of x-49 meters and the distance from the top of the tree to the end of the shadow is x+1 meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

x^{2}+(x-49)^{2}=(x+1)^{2}

Expanding, we get,

2 x^{2}-98 x+2401=x^{2}+2 x+1

2 x^{2}-98 x+2400=x^{2}+2 x

2 x^{2}-100 x+2400=x^{2}

x^{2}-100 x+2400=0

Solving the equation using the quadratic formula x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, we get,

x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}

Simplifying, we have,

x=\frac{100\pm\sqrt{10000-9600}}{2}

x=\frac{100\pm\sqrt{400}}{2}

x=\frac{100\pm{20}}{2}

Thus,

x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60  and  x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40

where the value x=40 is not possible because substituting the value x=40 in x-49 results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

7 0
3 years ago
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