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777dan777 [17]
3 years ago
7

Solve for x 7|x + 3| + 5 = 40

Mathematics
2 answers:
Sav [38]3 years ago
6 0
7|x+3|+5=40
7|x+3|=40-5
7|x+3|=35
|x+3|=5

x+3=5
x+3=-5

x=2
x=-8
Harman [31]3 years ago
3 0

Answer:

4.6 or 4.57

Step-by-step explanation:

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Estimate the sum of 23 and 71
Natali [406]
Estimation:

23 --> rounded to 20
71 --> rounded to 70
70 + 20 = 90. I rounded both numbers down so the exact sum must be only a little greater than my estimate.
8 0
3 years ago
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Can help me find area and perimeter step by step
Vera_Pavlovna [14]

Answer:

  • area: 16.28 ft²
  • perimeter: 17.05 ft

Step-by-step explanation:

The figure is shown as being composed of a semicircle and a triangle. You know the formula for the area of a circle is ...

  A = πr²

The radius of the semicircle is half its diameter, so is (4 ft)/2 = 2 ft. Then the area of a circle with radius 2 feet is ...

  A = π(2 ft)² = 4π ft²

Our semicircle has half that area, so ...

  area of semicircle = (4π ft²)/2 = 2π ft² ≈ 6.283 ft²

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The area of the triangle is given by the formula ...

  A = (1/2)bh

Here, the base is shown as 4 ft, and the height is shown as 5 ft. Then the triangle area is ...

  triangle area = (1/2)(4 ft)(5 ft) = 10 ft²

So, the total area of the composite figure is ...

  figure area = area of semicircle + triangle area

  = 6.283 ft² + 10 ft² ≈ 16.283 ft² . . . . area of the figure

__

The perimeter of the curved portion of the semicircle is half the circumference of a circle of radius 2 ft. It will be ...

  curved perimeter = (1/2)(2πr) = πr = π(2 ft) = 2π ft ≈ 6.283 ft

The length of each side of the triangle can be found from the Pythagorean theorem. Each side of the triangle is the hypotenuse of a right triangle with legs 2 ft and 5 ft. Then it will be ...

   triangle side length = √(2² +5²) ft = √29 ft ≈ 5.385 ft

The total perimeter is ...

   perimeter = 2 × triangle side length + semicircle length

  = 2×(5.385 ft) + 6.283 ft = 17.054 ft

The perimeter of the figure is about 17.05 feet.

4 0
3 years ago
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
dedylja [7]

The height of the model is 6.1 inches.

If 1 inch represents 50 feet, to find the answer, divide 305/50.

the answer is 6.1 inches.

Hope this helps, and have a fantastic day.

7 0
2 years ago
Can You Help Me With This Please?
bearhunter [10]

Answer:

Step-by-step explanation:

Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!

3 0
2 years ago
Can anyone please help me with this question? : A target consists of two concentric circles. The larger circle has diameter 1m.
11111nata11111 [884]
We know that
if  <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then 
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Let
x----> diameter of the blue circle

area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1

area of the green region=area of the larger circle-area of the blue circle
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equate equation 1 and equation 2
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the diameter of the blue circle is √2/2 m


5 0
3 years ago
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