A net has a square at the center and 4 triangles on the sides. The square has side lengths of 2 yards. The triangles have a base of 2 yards and a height of 3 yards. What is the surface area of the square pyramid?

123°

Finding the Missing Angle Within the Triangle

We know that all triangles sum to 180 degrees. So, to find the missing angle within the missing angle, we can create an equation. For the purposes of this equation, I will use y as the missing angle within the triangle.

Then, solve for y by subtracting 55 and 68 from both sides.

Finding X

The missing angle within the triangle is supplementary to the x angle. Supplementary angles are angles that sum to 180. So, to find x we can create a new equation.

Next, solve the formula by subtracting 57 from both sides.

Shortcut

In cases like this, there is a shortcut that can be used. This shortcut can be used when you are trying to find a supplementary angle outside of a triangle, and you are given the other 2 angles of triangle. The x value will always be equal to the sum of the 2 angles that are not adjacent to the missing, outside angle.

So, in this case, [tex]x=68+55[/tex] because 68 and 55 are not adjacent to the outside angle, x.

[tex]\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}[/tex]

Answer

10

Step-by-step explanation:

Answer:

Day 44

Step-by-step explanation:

Given function:

[tex]f(t)=500t^2[/tex]

where:

To find the day on which the number of daily hits reaches 1,000,000, set the function to 1,000,000 and solve for t:

[tex]\begin{aligned}f(t) & =1000000\\ \implies 500t^2 & = 1000000\\ t^2&=\dfrac{1000000}{500}\\ t^2 & = 2000\\ t & = \pm \sqrt{2000}\\ t & = \pm 44.72135955...\end{aligned}[/tex]

As time in positive, t = 44.72135955 only.

This tells us that the number of daily hits reaches 1,000,000 during the 44th day.  

Answer:

The answer is 2^4=16

Step-by-step explanation:

Answer: Total spent $35,20

Step-by-step explanation: if shrimps is 4$/kg, then 5kg Will be $20

If scallops is $4/kg then 3.8kg Will be 4 × 3.8 = 15.2

Check the prices you stated in your question

Answer:

136

Step-by-step explanation:

Area of trapezoid:

a+b/2 * h

so,

(12/2 + 22/2) × 8

12 + 22 = 34

34/2 = 17

17 × 8 = 136

Given points: (3,2) and (-1,-4)

[tex]\boxed{ \sf slope : \frac{y_2 - y_1}{x_2 - x_1} }[/tex]    where (x1, x2), (y1, y2)

Here slope:

[tex]\hookrightarrow \sf \dfrac{-4-2}{-1-3}[/tex]

[tex]\hookrightarrow \sf \dfrac{-6}{-4}[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{2}[/tex]

Thus slope: 3/2     [in simplest fraction]

Slope:-

Answer:240

Step-by-step explanation: ×/6 =40

Multiply both sides by 6

× is 240

Answer:

A. 3,703 inches squared

Step-by-step explanation:

I took the test and got it right. #platofam

Answer:

-2.6

Step-by-step explanation:

Given: 5(y+2)= -3

Do the parentheses (Multiply 5 by Y and 2): 5y+10=-3

Simplify (subtract 10 from both sides): 5y=-13

Simplify again (divide both sides by 5): y=-2.6

Double-Check:

Given (replace -2.6 for Y): 5(-2.6+2)=-3

Do the parentheses (Add-2.6 and 2): 5(-0.6)=-3

Simplify (Multiply 5 by -0.6): -3=-3 ✔️

The answer checks out.

Answer:

-20.5⁰F

Step-by-step explanation:

i dont know how to explain thoughh

Answer:

a

Step-by-step explanation: got it right on edge

The measure of the angle BAC is 72degrees

We have given that the

angle B=108 degrees and angle C=60 degrees.

We have to determine angle A

In parallelogram

The sum of the two angles is 180 degrees.

Therefore we get,

angle A+ angle B=180 degrees

angle B=108 degrees

angle A +108=180

angleA=180-108

angleA=72 degrees.

Therefore the measure of the angle A is 72degrees

To learn more about the angle visit:

https://brainly.com/question/25770607

#SPJ1

Answer:

ANSWER: A) 15/40 and 28/40

Step-by-step explanation: Ive done this before lol

Answer: 58.2765 feet

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You are always able to do better, and Fiona needs to reflect

Answer: x>=200

Step-by-step explanation:

Answer:

pi or 3.14

Step-by-step explanation:

this shape is a quarter of a circle.

so, we can just find the area of the whole circle and then divide the answer by 4.

to find the area of this shape we use the formula:

pi × r^2 × 1/4

so the answer is: pi since r^2 and 1/4 cancel each other out.

Answer:

x*5.5 + y* 7.25 = 45.5

x + y = 7

Step-by-step explanation:

every Espresso cost 5.5 => x*5.5

And the total cost is 45.5 so the sum should be 45.5

there are 7 coffees. means that the number of Espresso and latte is 7

Answer:

Rational number

Step-by-step explanation:

√16 is Rational number simply because its value is 4, which can be expressed as a Ratio of Two Numbers

Answer:

125 ways

Step-by-step explanation:

5 x 25 = 125

Hope this helps!

Answer:

Greatest diameter of hemisphere = 14 cm

Surface area of solid = 1330 cm²

Step-by-step explanation:

Side of the cube (a) = 14 cm

If a cube is surmounted (placed right over its top) by a hemisphere, then that means that the greatest diameter of the hemisphere will be equal to the measure of the edge of the cube (a cube has equal sides). Hence,  the greatest diameter of the hemisphere is 14 cm & the radius (r) will be 14/2  = 7 cm (radius = ½ diameter)

Now, we need to find the surface area of the solid.

Here, the solid comprises of a cube & a hemisphere sharing a same circular base area. Hence,

Surface area of the solid

= Surface area of cube + Curved surface of hemisphere - Circular base area

= 6a² + 2πr² - πr²

= 6a² + πr²

= 6(14)² + 22/7×(7)²        [π = 22/7]

= 1176 + 154

= 1330 cm²

[tex]\rule{150pt}{2pt}[/tex]

NOTE:

Refer to the attached picture to see how a hemisphere is surmounted on top of a cube.

[tex]\rule{150pt}{2pt}[/tex]

Please find attached herewith the solution of your question.

If you have any doubt, feel free to ask.

Step-by-step explanation:

normal 100 part sale 15 part saple price 85 part

85/100 = 272000/normal price

normal price = 272000 × 100/85

= 320000

Answer:

312800

Step-by-step explanation:

You could do 272000 times 15% then add the discount price

which is 272000 + 40800 = 312800

Answer: $15.49.

Step-by-step explanation: So far, her pizza already costs $13.99 because she chose large.  However, she also ordered two toppings for $0.75 each, which is $1.50.  We need to add $13.99 and $1.50 to find out the total cost of her custom pizza.

$13.99 + $1.50 = $15.49.

Therefore, the total cost of her pizza is $15.49.

Have a great day! :)

Answer:

1. 360 km

2. 2 seconds

Step-by-step explanation:

Formula

distance = speed × time

Given:

⇒ distance = 120 × 3 = 360 km

----------------------------------------------------------------------------------

Given:

To find time (t), use the SUVAT equation:  v = u + at

⇒ 20 = 0 + 10t

⇒ 20 = 10t

⇒ t = 20/10

⇒ t = 2 s