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Tems11 [23]
2 years ago
12

Can someone please help me (Math)

Mathematics
1 answer:
Ratling [72]2 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

Since this is a triangle, all interior angles add up to 180 so:

57 + 73 + 3x + 17 = 180

3x + 147 = 180

3x = 180 - 147

3x = 33

x = 11

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The distance from earth to the sun is thought to be 1.496 × 108 kilometers. What is this distance when in standard notation?
just olya [345]

Answer:

I think it is 149,600,000.

Step-by-step explanation:

If the 8 is supposed to be the exponent. Then you move the decimal 8 times to the right.

4 0
3 years ago
the tens digit of a 2 digit number is twice the units digit. The sum of the digits is 12. Find the original number
Nataly [62]
<span>2x + x = 12 
=> x =12/3 =4 
so, original number is 84. </span>
7 0
3 years ago
-2/7 - (-4/3) -1/3 what is the answer
seraphim [82]
You have to first make like terms 

-\frac{2}{7} -(-  \frac{4}{3})-  \frac{1}{3} &#10;
**you want the denominator to be 21 

\frac{-6+28-7}{21} =  \frac{15}{21}= \frac{5}{7}
3 0
3 years ago
How to find two consecutive numbers whose squares differ by 15?
LUCKY_DIMON [66]
Let x is the first no. then the other no. will obviously be (x+1)

according to question,
(x+1)²- x²= 15
x² +2x+1 - x² = 15 ( using (a+b)²= a²+ b² + 2ab )
2x + 1 = 15
2x = 14
x = 7

hence numbers are x = 7 and x +1 = 7+1 = 8
also 8²-7² = 64-49 = 15

hence the numbers are 7 and 8

hope it helped
4 0
2 years ago
The question is below
Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

  1. Solve for the length of the fence (aka height)
  2. Find the area of the lawn (trapezoid)
  3. Find the number of cans needed
  4. Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

\frac{B_1 + B_2}{2}* h

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

  • 8² + fence² = 17²
  • 64 + fence² = 289
  • 225 = fence²
  • fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

  • A = \frac{B_1 + B_2}{2} * h
  • A = \frac{12 + 20}{2} * 15
  • A = \frac{32}{2} * 15
  • A = 16 * 15 = 240

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

  • 240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

  • 3 * 19.75
  • 59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : a^2 + b^2 = c^2

  • a is a leg
  • b is a leg
  • c is the hypotenuse

Images attached for your reference

7 0
1 year ago
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