What is the volume of a rectangular prism with a height of 1.5 feet and a base area of 4.5 square feet use the formula V=Bh

Answer:

The volume of the prism is 60 m³.

Step-by-step explanation:

Given that,

The length of the prism is 4 m

The width of the prism is 5 m

The height of the prism is 3 m

The volume of prism is given by the formula as follows :

V = lbh

Put all the values,

V = 4 m × 3 m × 5 m

= 60 m³

Hence, the volume of the prism is 60 m³.

Answer:

1.4

2.5

3.3

4.60

5.60

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Interesting question.

The given angle is 1/2 the central angle. The central angle is equal to the minor arcEG.

So the central angle = 46 *2

The central angle = 92

ArcEG = 92

H can be anywhere on the major arc EG and the answer would be the same.

Answer:

[tex] {8}^{3n} = {8}^{6} \\ 3n = 6 \\ n = 2[/tex]

Answer:

[tex]n = 2[/tex]

Step-by-step explanation:

[tex]( {8}^{n} )^{3} = {8}^{6} [/tex]

[tex] {8}^{n \times 3} = {8}^{6} [/tex]

[tex]n \times 3 = 6[/tex]

[tex]n = \frac{6}{3} [/tex]

[tex]n = 2[/tex]

Answer:

y=7/3x²-13/3x+2

Step-by-step explanation:

Determine the value of c:

y=ax²+bx+c

2=a(0)²+b(0)+c

2=c

Substitute (1,0) into the quadratic and create an equation with a and b:

y=ax²+bx+2

0=a(1)²+b(1)+2

0=a+b+2

-2=a+b

Do the same with (3,10) to get a second equation:

y=ax²+bx+2

10=a(3)²+b(3)+2

10=9a+3b+2

8=9a+3b

Set the two equations equal to each other and solve for a and b:

-2=a+b

8=9a+3b

Multiply first equation by 3 and eliminate b to find a:

 -6=3a+3b

- (8=9a+3b)

_______

-14=-6a

14/6=a

7/3=a

Substitute 7/3=a into the first equation:

-2=7/3+b

-2-(7/3)=b

-13/3=b

Final equation:

y=7/3x²-13/3x+2

See the graph for a visual representation

Answer:

since speed is miles per hour it would be s=1/1/2 so it would be 2mph

Answer:

x = - 4

Step-by-step explanation:

x = 19 is a vertical line parallel to the y- axis

A line parallel to it has the equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 4, 7 ) with x- coordinate - 4 , then

x = - 4 ← equation of parallel line

Answer:

156km

Step-by-step explanation:

Given data

The red Maserati traveled at a speed of 120km/h for 5 hours one day.

Distance = speed*time

Distance= 120*5

Distance= 600km

The green Ford Pickup traveled at a speed of 74km/h for 6 hours

Distance = speed*time

Distance= 74*6

Distance= 444km

Hence the difference is

=600-444

=156km

Answer:

A

Step-by-step explanation:

2x + 10 = 105

2x = 95

x = 47.5

I showed the solution and the answer on a piece of paper in the photo

Answer:

[tex] - 0.25881904[/tex]

Step-by-step explanation:

Use the identity

[tex] \sin( - x) = - \sin(x) [/tex]

so

[tex] \sin( - \frac{\pi}{12} ) = - \sin( \frac{\pi}{12} ) [/tex]

Use angle subtraction trig formula

[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]

In order to get pi/12, we can subtract

pi/4 and pi/6.

[tex] \sin( \frac{\pi}{4} - \frac{\pi}{6} ) = \sin( \frac{\pi}{4} ) \cos( \frac{\pi}{6} ) - \cos( \frac{\pi}{4} ) \sin( \frac{\pi}{6} ) [/tex]

Simplify.

[tex] (\frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2}) - ( \frac{ \sqrt{2} }{2} \times \frac{1}{2} )[/tex]

[tex] \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4} [/tex]

[tex] \frac{ \sqrt{6} - \sqrt{2} }{4} [/tex]

which is about

[tex]0.25881904[/tex]

Remeber our sin is negative so our answer is

[tex] - 0.25881904[/tex]

Answer:

29-2 =27 divided by 3

m=9

Answer:

One option is:

m=3

Step-by-step explanation:

3x3=9

9+2=11

11<29

Answer:

1

Step-by-step explanation:

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

1357.17 cubic feet

Step-by-step explanation:

The volume of a cylinder is

[tex]\pi {r}^{2} h[/tex]

We know the height is 12, and the radius is simply half our diameter, which in this case is

[tex] \frac{12}{2} = 6[/tex]

plug these two numbers into our formula and we have found our volume.

Answer:

what is the question?????

Answer: The answer is 25               then if it asks for the equation it is A=1/2bh

Step-by-step explanation:

The b or base is 10

The height or h is 5

A=1/2bh

A=1/2(10)(5)

A=1/2(50)

A=25

I hope this helps :)

Answer:

25m^2

Step-by-step explanation:

the formula for finding the area of a triangle is b*h/2. So 10 times 5 equals 50. When you divide 50 by 2 you get 25. 25m^2 Is the answer.

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

Given:

The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].

To find:

The H.C.F. of the given expressions.

Solution:

The two expressions are:

[tex]2x^2(x+2)(x-2)[/tex]

[tex]4x(x+2)(x-4)[/tex]

It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.

[tex]H.C.F.=2x(x+2)[/tex]

Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].

Answer: x= 6 y= -3

Step-by-step explanation:

Answer:

x=-96/15

y=-3

Step-by-step explanation:

this is the correct answer for sure

Answer:

200.96cm^2

Step-by-step explanation:

the circle's diameter is 16cm --> the radius is 8cm

the area of the circle is 8^2 x 3.14 = 200.96 cm^2

Range is f(x) < -2

* The < should have a line under it*

**Sorry i couldn't find the domain**

Answer:

20 i think i forgot but, hopefully u get it right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

70.5 times 3.14 is equal to 221.37 so Ferris Wheel was incorrect

Answer:

5 + 2q = 15

Step-by-step explanation:

The perimeter is 4 + 2 + q + (q - 1) = 15.

Add 4 + 2 then subtract the sum from both sides.

q + (q - 1) = 9

This can be simplified further by adding the "q" variables together.

2q - 1 = 9

Add 1 to both sides.

2q = 10

Divide both sides by 2 to isolate q.

q = 5

Answer:

[tex]\implies x = 1 \quad or -6 \\\\\implies f(x) = -3x^2-15x + 18 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the zeroes of the quadratic function and we need to express it in Standard form. T

Function :-

[tex]\implies f(x)= -3(x-1)(x+6) [/tex]

[tex]\implies f(x)=0 \\\\\implies -3(x-1)(x+6)=0 \\\\\implies (x - 1 )(x+6) = 0 \\\\\implies x = 1 \quad or \quad -6 [/tex]

Therefore the zeroes are 1 and -6 .

Expressing in Standard form :-

The standard form of a quadratic equation is ,

[tex]\implies ax^2+bx + c = 0 [/tex]

And that of a quadratic function is ,

[tex]\implies f(x) = ax^2+bx + c [/tex]

Simplifying the equation :-

[tex]\implies f(x)= -3(x-1)(x+6)\\\\\implies f(x) = (-3x +3)(x+6) \\\\\implies f(x) = -3x(x+6)+3(x+6)\\\\\implies f(x) = -3x^2 -18x +3x + 18\\\\\implies f(x) = -3x^2-15x + 18 [/tex]

Hence the Standard form of the equation is -3x² - 15x + 18 .

Answer:

i have that too bro but i need help with it

Step-by-step explanation:

Answer:

The pair of shoes cost $33.50

Step-by-step explanation:

let the cost of dresses be d and the cost of shoes be s

2 dresses and 1 shoe pair cost $70.5

2d + s = 70.5 •••••(i)

Shows cost $15 more than one dress

s = d + 15

d = s-15 ••••(ii)

Substitute ii into i

2(s-15) + s = 70.5

2s -30 + s = 70.5

3s = 70.5 + 30

3s = 100.5

s = 100.5/3

s = $33.50

Answer:

1.13 ft

Step-by-step explanation:

use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.