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3 years ago

What’s the Answer?? Please!!

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Finding the slope using two points:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

(1, 9) and (-3, 16)

$y_{2} =16\\y_{1} =9\\x_{2} =-3\\x_{1} =1$

^^^Plug these numbers into the formula for slope...

$\frac{16-9}{-3 -1}$

$\frac{7}{-4}$

C. $\frac{-7}{4}$

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

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Find the area of the composite figure

nordsb [41]

Answer:

162 in

Step-by-step explanation:

Split this shape into two rectangles:

The big rectangle has a base of 16 and a height of 7 (subtract 12-5=7 for height) Multiply base*height to get area of big rectangle:

16*7 = 112 in

The small rectangle has a base of 10 and a height of 5. Mulitply base*height to get area of small rectangle:

10*5 = 50 in

Add both areas together:

112+50= 162 inches

5 0

2 years ago

Last week, Evelyn ran 44 laps at the community center. Peter ran 75% of the number of laps that Evelyn ran. How many laps did Pe

emmainna [20.7K]

Answer:

Peter ran 33 laps.

Step-by-step explanation:

Multiply Evelyn's 44 laps by 75% or 0.75 to get your answer.

44(0.75)=33

3 0

3 years ago

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

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Answer:

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3 years ago

An object is moving at the constant rate of 32 feet per second. How many yards will it travel in one minute? 10.7 yards per minu

In-s [12.5K]

1 yard = 3 feet

1 minute = 60 seconds

Multiply 32 feet per second by 60 to find feet per minute:

32 x 60 = 1920 feet per minute.

Divide total feet per minute by 3 feet to find yards per minute:

1920 / 3 =640 yards per minute.

6 0

3 years ago