WHAT COULD BE THE AREA OF THE BASE OF THE TRIANGULAR PRISM?
Length 5ft
Other height5ft
Length 4ft
Height 3ft

Answer:

x = 18

Step-by-step explanation:

3x + 20 = 5x - 16

Subtract 20 from both sides

3x + 20 - 20 = 5x - 16 -20

3x = 5x -36   {Now subtract 5x from both sides}

3x - 5x = 5x - 36 +5x

-2x = -36    {Divide both sides by (-2)}

-2x/-2 = -36/-2

x = 18

Step-by-step explanation:

(3x+20)=(5x-16)

combination of like terms

3x-5x= -16-20

-2x= -36

x= -36/-2

x=18

Answer:

A

Step-by-step explanation:

5 divided by 4 is 1.2

Answer:

37.5%

Step-by-step explanation:

Red is 3/8 so you convert that into a percentage.

Answer:

(-1, 2) is the point of intersection!

Step-by-step explanation:

Checked on a calulator

Answer:

(-1, 2) is the answer to this question

Step-by-step explanation:

Hope this helps!

Have a great day! :)

Answer:

its c

Step-by-step explanation:

Answer:

The temperature at night changed by 13°

Step-by-step explanation:

Answer: (71,19)

Step-by-step explanation:

x + y =90

x=14 + 3y    or -1x +3y=-14

solve by elimination.  1x + 1y= 90

                                    -1 +3y = -14   y=19

1x + 1(19)=90  

x=71

Answer:

x + y = 90

x = 14 + 3y

The numbers are 71 and 19.

Step-by-step explanation:

Let the larger number be x.

Let the smaller number be y.

The sum of the numbers is 90.

x + y = 90

The larger number, x, is 14 more than 3 times the smaller number, y.

x = 14 + 3y

We have a system of two equations in two unknowns.

x + y = 90

x = 14 + 3y

Since the second equation is already solved for x, we will use the substitution method to solve the system of equations.

Substitute x in the first equation with 14 + 3y.

x + y = 90; x = 14 + 3y

14 + 3y + y = 90

Combine like terms on the left side.

4y + 14 = 90

Subtract 14 from both sides.

4y = 76

Divide both sides by 4.

y = 19

The smaller number is 19.

Now we substitute 19 for y in the first equation and solve for x.

x + y = 90; y = 19

x + 19 = 90

Subtract 19 from both sides.

x = 71

The larger number is 71.

Answer: The numbers are 71 and 19.

Answer:

So the plane drobe 1800 miles in 6 hours.

to find the time to plane was traveling per hour, we divide 1800 by 6 geting us with 300. THe plane traveled 300 miles per hour

Step-by-step explanation:

Answer:

300 mph

Step-by-step explanation:

[tex]Speed \: of \: plane \\ = \frac{distance}{time} \\ = \frac{1800}{6} \\ = 300 \: mph[/tex]

Thus plane was travelling at 300 miles per hour speed.

Answer:

C. x = 5, y = -2

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

Answer:

2x + y = -5 (which is Answer 1).

Step-by-step explanation:

The possible answer choices are all versions of the standard equation of a straight line:   Ax + By + C = 0.  If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B.  Only the first answer choice passes here:  with +2x and +1y, the slope is -2.  This automatically eliminates the other possibilities.

Looking at the first answer choice, we see that A must be 2 and B must be 1

so that the slope is m = -2.    Writing out this equation:  Ax + By + C = 0.

Replace A with 2 and B with 1:  2x + y + C = 0.

Finally, replace x with -1 and y with -3:  2(-1) + (-3) + C = 0.

Solving this for C, we get   -2 - 3 + C = 0, or -5 + C = 0, or C = 5.

We end up with 2x + y = -5 (which is Answer 1).

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

Answer:

Step-by-step explanation:

A new TV sells for $200. Every year, the TV loses 10% of the initial value.

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

AB

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14 units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

Answer:

A = 348

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is:

A = 2(wl + hl + hw)

Plug in the numbers accordingly:

A = 2(6 · 9 + 8 · 9 + 8 · 6)

A = 2(54 + 72 + 48)

A = 2(174)

A = 348

Answer:

I think its 2

Step-by-step explanation:

I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2

Answer:

The correct options are;

1) Sandy is correct

2) The figure was divided into two rectangular prisms that are calculated separately

Step-by-step explanation:

Here we have to divide the figure into two rectangular prisms so as not to calculate for a dimension twice

Therefore, the figure can be split into a horizontal prism at the top with dimensions and volume = 10 × 4 × 3 and the vertical prism below will now have a dimension and hence, volume of 4 × 4 × 3

Therefore the volume of the figure is the sum of the volumes of the two prisms found as follows;

Volume of the figure =  10 × 4 × 3 + 4 × 4 × 3  = 168

We can try the othe way to confirm as follows

Volume of the prism below = 4 × 3 × 8 = 96

Volume of the horizontal prism above is now = 4 × 3 × 6 = 72

Volumre of the figure = 96 + 72 = 168

Therefore, since the volume = (10 × 4 × 3) + (4 × 4 × 3), Sandy is correct

Because the figure was divided into two rectangular prisms that are calculated separately.

Answer:

1(sandy is correct)

2(do not overlap

Step-by-step explanation:

Answer:

560 is the area

Step-by-step explanation:

20x10 = 200 + the 30x12 = 560 comment if you need further explanation

Answer:

A) -3/2 and 7

Step-by-step explanation:

this equation factors to (2x+3)(x-7)

the goal is to solve for 0

if 2x+3=0 then x=-3/2

if x-7=0 then x=7

Answer:∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When  we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N  ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .In  Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

brain list this answer thankyou:)

Answer:

x =83

Step-by-step explanation:

supplementary angles add to 180 degrees

x+y = 180

We know y is 97

x+97= 180

Subtract 97 from each side

x+97-97= 180-97

x =83

Answer:

It is 83

Step-by-step explanation:

Supplementary is 180 degrees

180-97=83

Answer:

B C E

Step-by-step explanation:

Look at the attachment

Answer:

In 2008 the US population was 4.55% of the world population.

Step-by-step explanation:

In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:

6.7*10^9 -> 100%

305*10^6 -> x%

6.7*10^9 / 305*10 ^6 = 100 / x

6.7*10^3 / 305 = 100 / x

(6.7*10^3)*x = 305*100

x = 30500 / (6.7*10^3)

x = 4,55 %

In 2008 the US population was 4.55% of the world population.

Answer: 6.76 109

Step-by-step explanation:

Answer:

It would be the first one in the picture

Step-by-step explanation:you would divide 96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16. plz give brainly

Answer:

Volume of a sphere = 17.164 m³ (Approx)

Step-by-step explanation:

Given:

Diameter of a sphere = 3.2 m

Radius of a sphere = Diameter / 2 = 3.2 / 2 = 1.6 m

Find:

Volume of a sphere = ?

Computation:

[tex]Volume\ of\ a\ sphere =\frac{4}{3}\pi \times r^3 \\\\Volume\ of\ a\ sphere =\frac{4}{3}\times \frac{22}{7} \times (1.6)^3 \\\\Volume\ of\ a\ sphere =\frac{4}{3}\times \frac{22}{7} \times 4.096\\\\Volume\ of\ a\ sphere =17.164[/tex]

Volume of a sphere = 17.164 m³ (Approx)

Answer:

17.2

Step-by-step explanation:

Answer:

#8 : x=15−y

#9: [tex]\frac{c}{b} -\frac{ax}{b}[/tex]

#10: y=2A−x

#7: T=[tex]\frac{P}{IR}[/tex]

Step-by-step explanation:

Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Answer:

x=5 x=8 x=10

explanation:

anything greater than 5 would make the inequality true because 5×2=10

Answer:

t = 2 1/6

1/5 t + 2/5 = 5/6

Step-by-step explanation:

1/5 (t + 2) = 5/6

Multiply each side by 5

t+2 = 5*5/6

t+2 = 25/6

Subtract 2 from each side

t+2 -2 = 25/6 -12/6  ( using the same denominator)

t = 13/6 = 2 1/6

We can also distribute

1/5 t + 2/5 = 5/6

Subtract 2/5 from each side

1/5t = 5/6 -2/5

Get a common denominator

1/5t =25/30 - 12/30

1/5t = 13/30

Multiply each side by 5

t = 13/30 *5

t = 13/6

ANSWER : t = 2 1/6

1/5 t + 2/5 = 5/6

Step-by-step explanation:

1/5 (t + 2) = 5/6

Multiply each side by 5

t+2 = 5*5/6

t+2 = 25/6

Subtract 2 from each side

t+2 -2 = 25/6 -12/6

t = 13/6 = 2 1/6

We can distribute

1/5 t + 2/5 = 5/6

Subtract 2/5 from each side

1/5t = 5/6 -2/5

Get common denominator

1/5t =25/30 - 12/30

1/5t = 13/30

Multiply each side by 5

t = 13/30 *5

t = 13/6

Answer:

To use proportions to solve ratio word problems, we need to follow these steps:

Identify the known ratio and the unknown ratio.

Set up the proportion.

Cross-multiply and solve.

Check the answer by plugging the result into the unknown ratio.

Step-by-step explanation: