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lozanna [386]
3 years ago
5

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

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Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =
dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27­°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

8 0
3 years ago
Please explain how to do this im confused
Anit [1.1K]

Answer:

70° , 70°

Step-by-step explanation:

The 2 angles are corresponding and are congruent, then

23x + 1 = 4 + 22x ( subtract 22x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Then the angles are

23x + 1 = 23(3) + 1 = 69 + 1 = 70°

4 + 22x = 4 + 22(3) = 4 + 66 = 70°

8 0
2 years ago
Read 2 more answers
What is the factored form of the polynomial?
Ilya [14]
(x-9)(x-3), because -9 and -3 make a sum of -12 and a product of +27
4 0
2 years ago
Read 2 more answers
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut
Kryger [21]

Answer:

$16.10

Step-by-step explanation

14.00x .15=2.10

14.00+2.10=16.10

7 0
3 years ago
Please help me with geometry! &lt;3<br> In rhombus ABCD, m&lt;=53*, What is M (*=degrees)
julia-pushkina [17]
In a rhombus opposite angles are equal and all 4 add up to 360
assuming one angle is 53, the opposite angle will also be 53 and then adjacent angles will be (360 - (53 x 2))/2 = 254/2 = 127*(deg)
I think the answer you're looking for is 127
3 0
2 years ago
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