All categories

2 years ago

1. Find the surface area of the square pyramid shown below?

Mathematics

2 answers:

Igoryamba2 years ago

8 0

Answer:

1. 40.00 sq units

2. 37.5 sq units

Step-by-step explanation:

1. Given slant height as 3 and the square base side as 4,

-The surface area of a right squared pyramid is calculated by summing the areas of the 4 triangles and the square base:

$Area=Area \ Triangles+Base \ Area\\\\=4(\frac{1}{2}bh)+s^2\\\\=4(0.5\times 4\times 3)+4^2\\\\=24+16\\\\=40$

Hence, the area of the square pyramid is 40.00 sq units

2. The surface area of a cube is equivalent to 6 times the side of one face.

-Given the dimension of the sides as 2.5, surface area is obtained as:

$A=6s^2\\\\=6(2.5\times2.5)\\\\=37.5$

Hence, the surface area of the cube is 37.5 sq units

Ira Lisetskai [31]2 years ago

4 0

Answer:

Step-by-step explanation:

I got it correct on KHAN

You might be interested in

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0

3 years ago

I GIVE BRAINLILEST //////////////////////////////////////

elena-s [515]

Answer:

answer is c makes sense because you just add 1.25 x 20

3 0

2 years ago

Find perimeter in cm of the diagram

boyakko [2]

3 sides of square is 3*12=36 cm

perimeter for the full circle is 2 * pi * radius

which is =2 * 22/7 * 12 =75.43 cm

so 360° =75.43 cm

for 150° = 75.43/360 *150 =31.43

all together =36 +31.43 =67.43 cm

8 0

3 years ago

Help please asap i will give brainlist

7nadin3 [17]

28°

a triangle = 180°
180°-140°= 40°
180°-68°= 112°
180°-112°-40°= 28°

3 0

3 years ago

Water freezes when the temperature is 0 Celsius at what Fahrenheit temperature does water freeze?

WINSTONCH [101]

Answer:

32 degrees fahrenheit

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers