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liq [111]
3 years ago
8

The sum of the digits of a 5 digit positive integer =2 how many five digits integers exist?

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
Answer- 90000/2=45000

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Oliva ties 2.5 feet of ribbon on to 1 balloon how many yards of ribbon dose olivia need for 18 balloons
Bezzdna [24]

Olivia needs 15 yards of ribbon.

2.5x18=45 feet

divide 45ft by 3 to see how many yards that would be.

45/3=15

Hope that I helped

4 0
3 years ago
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
Build a fence around his rectangular garden. The length is 30 feet. The width is 6 yards. How many feet of fencing is needed
nadya68 [22]
The field that is being fenced in has two 30 foot sides and 2 18 foot sides. The reason they are 18 is because there are 3 feet in a yard. You would then add all 4 sides together, equaling your perimeter.

The final answer is 96 sq feet.
4 0
3 years ago
What is 6 to the fourth power times 6 to the fourth power
wel

Answer:

6^8

Step-by-step explanation:

6^4 * 6^4

We know that a^b * a^c = a^(b+c)

6^4 * 6^4 = 6^(4+4) = 6^8

7 0
3 years ago
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To make a disinfecting solution, Alana mixes 2 cups of bleach with 5 cups of
lubasha [3.4K]

Answer:

Step-by-step explanation:

Ok

7 0
3 years ago
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