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faltersainse [42]
3 years ago
8

7th question help please

Mathematics
2 answers:
Andreas93 [3]3 years ago
5 0
Hey there! :)

You have to find the area of all of them and add it together

Formulas:

Area of a triangle ⇒ (b · h) ÷ 2
Area of a square ⇒ l · w

Square -

l = 5
w = 5

5 × 5 = 25

Triangle - 

b = 5
h = 5

(5 × 5) ÷ 2
   
25   ÷   2   = 12.5

There are 4 triangles

12.5 × 4 = 50

50 + 25 = 75

Surface area = 75 in
²

Hope this helps :)
vaieri [72.5K]3 years ago
3 0
Surface area of the pyramid= 4*(area of the triangle) + area of the square

Area of the triangle = (1/2)*base*height=(1/2)*5*5= 25/2 in²
Area of the square = 5*5 =25 in²

Surface area of the pyramid = 4*(25/2) + 25=2*25 + 25=75 in²
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In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Sonbull [250]

Answer:

<I= 15degrees

Step-by-step explanation:

Using the cosine rule formulae;

j² = i²+k²-2i cos <J

j² = 37²+57² - 2(37)(57)cos <141

j² = 1369+ 3249- 4218cos <141

j² = 4618- 4218cos <141

j² = 4618-(-3,278)

j²= 7,896

j = √7,896

j = 88.86inches

Next is to get <I

i² = j²+k²-2jk cos <I

37² = 88.86²+57² - 2(88.86)(57)cos <I

1369 = 7,896.0996+ 3249- 10,130.04cos <I

1369 = 11,145.0996 - 10,130.04cos <I

1369 - 11,145.0996 = - 10,130.04cos <I

-9,776.0996=- 10,130.04cos <I

cos <I =9,776.0996 /10,130.04

cos<I = 0.96506

<I = 15.19

<I= 15degrees

8 0
2 years ago
Which polynomial could have the following graph?
zubka84 [21]
Hi,
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Find the value of each variable so that the quadrilateral is a parallelogram.
Dmitry [639]

Answer:

<em>x = -2</em>

<em>y = -5</em>

Step-by-step explanation:

<u>Properties of a Parallelogram</u>

  • Two pairs of opposite sides are parallel.
  • Two pairs of opposite sides are equal in length.
  • Two pairs of opposite angles are equal in measure
  • The diagonals bisect each other.
  • Adjacent angles are supplementary.
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Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:

y + 23 = -4y - 2.  And

-2x + 6 = x + 12

Solve the first equation. Adding 4y:

5y + 23 = - 2

Subtracting 23:

5y = -25

Dividing by 5:

y = -5

Solve the second equation. Subtracting x and 6:

-3x = 6

Dividing by -3:

x = -2

Solution:

x = -2

y = -5

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Answer:

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Step-by-step explanation:

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