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Assoli18 [71]
3 years ago
13

I don’t understand if anyone can explain?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

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Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding i
Dimas [21]

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

5 0
3 years ago
una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la
seropon [69]

Answer:

The formula for calculating the width of the window is

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

P=2(l+w)

we have

P=6\ m

so

6=2(l+w)

simplify

3=(l+w)

isolate the variable l

l=3-w ----> equation A

The area of the window is equal to

A=lw

we have

A=2\ m^2

so

2=lw ----> equation B

substitute equation A in equation B

2=(3-w)w

solve for w

2=3w-w^2

w^2-3w+2=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

w^2-3w+2=0

so

a=1\\b=-3\\c=2

substitute in the formula

w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}  --->  formula for calculating the width of the window

w=\frac{3(+/-)\sqrt{1}} {2}

w=\frac{3(+/-)1} {2}

w=\frac{3(+)1} {2}=2\ m

w=\frac{3(-)1} {2}=1\ m

7 0
4 years ago
PLEASE HELP <br> 3/4% of 120 equals
sammy [17]

Answer:

90

Step-by-step explanation:

so first do 120 divided by 4 is 30. Then multiply it by 3 to get 90.

7 0
2 years ago
Read 2 more answers
The face of a clock has a circumference of 63 in. What is the area of the face of the clock?
ryzh [129]

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

So the area of the face of the clock =315.41\ in^{2}

6 0
3 years ago
The ratio of girls to boys in a class is 5 to 4 if there are 20 boys then how many total students are in class
LuckyWell [14K]

answer:

36

explanation to answer:

6 0
3 years ago
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