The design is rotated about the line x=1 to produce the shape of the urn. Finish the potter's design by drawing a picture

goldenfox [79]

Try breaking these into sections.

Twice: 2 times

The sum of: add

A number: choose a variable, like x

---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"

-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"

Is: equals

-------"Twice the sum of a number and four is" becomes "2(x+4)="

23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"

three times the number: 3 times x

---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"

-------So the final phrase: 2(x+4)=3x-23"

6 0

2 years ago

FInd the surface area of the triangular prism

Marta_Voda [28]

Answer:

273.7

Step-by-step explanation:

first fine the sides that isn't the base.

triangle area formula: (b*h)/2

(14*9)/2 = 63

since there are 3 sides you multiply this by three.

63*3=189

then find the base.

same formula since its a triangle.

(12.1*14)/2 = 84.7

now add them both up:

84.7+189 = 273.7

hope this helps!

3 0

3 years ago

Read 2 more answers

Exit Ticket: At noon, a tank has a water depth of 9 in. After 3 hours, the depth was 8 inches. At 6pm, the depth was 7 inches. W

OLEGan [10]

Answer:

Step-by-step explanation:

The straight line equation is:

y = m*x + b Where m is the slope of the line and b the intercept with y-axis, in our case y is the depth of the tank and x (time in lapsus of 3 hours).

The slope m = ( y₂ - y₁ ) / (x₂ - x₁)

We have point A ( 3 , 8 ) and point B ( 6 , 7 )

m = ( 6 - 3 ) / (7 - 8 ) m = -3

We see that each 3 hours time-depth decreases 1 in.

Then to find the depth at the beginning of x-axis

At noon 12 tank was 9 inches, three hours before at 9 in the morning the depth was 10 inches and:

9 in the morning 10

6 in the morning 11

3 in the midnight 12

12 in the night 13

Then 13 is the intercept with y-axis

then the equation is:

h = - 3*x + 13

Note x is time in lapsus of 3 hours

4 0

2 years ago

Tomas and Tasha were hiking at a speed of 3.5 mph. On their way back, they were tired and their speed was 2 mph. How long was th

Anna35 [415]

To get the length of the route use the expression for speed,

Distance = Speed × Time

Length of the route is 7 miles.

It's given in the question,

Speed of Tomas and Tasha initially = 3.5 mph

Therefore, distance travelled by both with the speed of 2 mph one way will be,

Distance = 3.5t [Here, t = time ]

Speed of both while coming back = 2 mph

And the time taken = t + (1 hour 30 minutes)

= (t + 1.5) hours

Therefore, distance travelled while coming back = Speed × Time

= 2(t + 1.5)

Since, length of the route is same both ways,

3.5t = 2(t + 1.5)

3.5t = 2t + 3

3.5t - 2t = 3

1.5t = 3

t = 2 hours

Now substitute the value of t in the expression to get the distance of the route,

Distance = 3.5t

= 3.5 × 2

= 7 miles

Therefore, route was 7 miles long.

Learn more,

brainly.com/question/1955818

7 0

2 years ago

Read 2 more answers

A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining at least one head on the tosses?

Anton [14]

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

5 0

2 years ago