Triangular prism surface area

Answer:

80 percent

Step-by-step explanation:

Because there are green tiles so the possibility is 80 percent

Answer:

72 miles

Step-by-step explanation:

60% times 45 = 27

27 + 45 = 72

Answer is 72 miles

Answer:

Ema's Family would drive 72 miles

Step-by-step explanation:

Hope this helps :)

And I hope this is correct

Answer:

14

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer

Answer:

The shortest length of the triangle is: 14

Hence, option B is correct.

Step-by-step explanation:

Given the triangle with the lengths

Given that the perimeter of triangle = P = 57

We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.

so

[tex]P = (x+15)+(4x-7)+(2x)[/tex]

substitute P = 57

[tex]57 = (x+15)+(4x-7)+(2x)[/tex]

switch sides

[tex]\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57[/tex]

[tex]x+15+4x-7+2x=57[/tex]

Group like terms

[tex]x+4x+2x+15-7=57[/tex]

Add similar elements

[tex]7x+15-7=57[/tex]

[tex]7x=49[/tex]

divide both sides by 7

[tex]\frac{7x}{7}=\frac{49}{7}[/tex]

simplify

[tex]x=7[/tex]

Now, measuring the lengths by substituting x = 7

Therefore, the shortest length of the triangle is: 14

Hence, option B is correct.

Answer:

Solution will be 1/15625

Step-by-step explanation:

Substitute the value of first term for ar^(4-1) for the third term with 1/25 on RHS, make r the subject (which is the common ratio)

you'll get r as 1/5

Now for the eighth term, replace the "4" in the formula with "8" and a with "5" and observe the magic.

Answer:

number 1

Step-by-step explanation:

===================================================

Work Shown:

Subtract the values to get 2.1-1.5 = 0.6

Brianna is off by 0.6 liters

Divide that error by the true value 1.5 to get 0.6/1.5 = 0.40

Then move the decimal point 2 spots to the right to arrive at 40%

Therefore, the percent error is 40%

------------------

The formula you can apply is:

[tex]P = \frac{|G-T|}{T}*100\%[/tex]

where

P = percent error

G = guess value (in this case it is 2.1)

T = true value (which is 1.5 in this case)

If we were to apply the formula, then we get:

[tex]P = \frac{|G-T|}{T}*100\%\\\\P = \frac{|2.1-1.5|}{1.5}*100\%\\\\P = \frac{|0.6|}{1.5}*100\%\\\\P = \frac{0.6}{1.5}*100\%\\\\P = 0.40*100\%\\\\P = 40\%\\\\[/tex]

Answer:

Dana has 20 French fries.

They can purchase 5 bottles.

Step-by-step explanation:

1.

Let x rep. the amount of French fries Johnathan has.

Let 2x rep. the amount of French fries Abdullah has.

Let 10x rep. the amount of french fries Dana has.

If :

x+2x+10x=26

13x=26

x=2

So Johnny boy has 2 french fries which means Dana has 10 times as much as that.

10(x)=10(2)

10x=20

Therefore Dana has 20 French fries.

2.

Well

5.12+2.77+4=$11.89

11.89/1.99= APPROX. 5.9

Note you can't buy a fraction of a bottle. We gotta round down for this question cause you can't just give less amount of cash to get an extra bottle even if it's very close. Unless your teacher said to round something.

Therefore they can only purchase 5 bottles.

Answer:

730% 23% and 40%

Step-by-step explanation:

.......

Answer:

He rode 20 miles in 2 hours

Answer:

Step-by-step explanation:

This is about converting polar coordinate to rectangular

Relationship between coordinates is:

then

We have θ = 5π/6, finding the value of tan:

Substitute tan with its value:

Correct option is D

Answer:

I did option d !!

Step-by-step explanation:

9514 1404 393

Answer:

  5x -3y = -21

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients, but a constant suitable for the given point.

  5x -3y = constant

  5(-6) -3(-3) = constant = -30 +9 = -21

The equation of the line is ...

  5x -3y = -21

Answer:

Yes, there is enough information to prove that the triangles are congruent.

ASA POSTULATE

Step-by-step explanation:

[tex] In\:\triangle PQR \: and \triangle TSR\\[/tex]

[tex] \angle PQR \cong \angle TSR...(given) \\[/tex]

[tex] QR\cong SR..... (given) \\[/tex]

[tex] \angle PRQ \cong\angle TRS\\(Vertical \: \angle s) \\[/tex]

[tex] \therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate) [/tex]

Answer:

Step-by-step explanation:

Given

We have two angles and included side congruence which is ASA

Answer:

graph attached

Step-by-step explanation:

27x - 15y = 1350

15y = 27x -1350

y = 27/15 x - 1350/15

y = 9/5 x - 90

y = mx + b     y intercept (b) = -90

y=0  x = 90 * 5/9 = 50   x intercept

Step-by-step explanation:

Given function

Easy way to find x- and y-intercepts and graph the line:

x-intercept found when y = 0

y-intercept found when x = 0

So the points are:

Plot these two points on a coordinate plane and connect with a line

Answer:

Step-by-step explanation:

Discount amount:

Sale price:

Answer:

9.60

Step-by-step explanation:

i did the quiz

Answer:

The three points that lie on a line y = -2/5x with a slope -2/5 will be:

Please check the attached graph also.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given

slope = m = -2/5

We suppose the line passes through the origin.

so b = 0

substituting m = -2/5 and b = 0 in the slope-intercept form

[tex]y = mx+b[/tex]

y = -2/5x + 0

y = -2/5x

Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:

y = -2/5x

As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.

Putting x = 0 in the equation y = -2/5x

y = -2/5 × (0)

y = 0

Thus, (0, 0) is the point which also passes through the line

Putting x = 5 in the equation y = -2/5x

y = -2/5 × 5

y = -2

Thus, (5, -2) is the point which also passes through the line

Now, putting x = 10 in the equation y = -2/5x

y = -2/5 × 10

y = -4

Thus, (10, -4) is the point which also passes through the line.

Thus, the three points that lie on a line y = -2/5x with a slope -2/5 will be:

Please check the attached graph also.

Answer:

NO.

Step-by-step explanation:

An irrational number cannot be written as a fraction.

Answer:

36.04

The amount of the tip is approximately $

$7.00

O $7.20

0 $7.25

$7.50

Step-by-step explanation:

Step-by-step explanation:

x° + (x - 34)° = 180°. (C-angles)

Thereforr 2x - 34 = 180 and x = 107.

x° = 107°.

(x - 34)° = 73°.

Answer:

Step-by-step explanation:

The distance required is the length of the tunnel added to the length of the train

Time is:

Answer:

1/3 would be the chances you'd pick purple, because there's only 1 in 3 that's purple out of all 3 marbles.

With green it would be 2/3 because there's twice the number of green marbles than purple.

If there's 1 of purple and 1 of green, the probability would then be 1/2 of picking either colour.

Answer:

math is a difficult subject

Answer:

7  1/2 feet

Step-by-step explanation:

This is equivalent to approximately 12.917 feet.

===================================================

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

--------------------------

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

Answer:

slope = 4

Step-by-step explanation:

y2-y1/x2-x1 = slope

-4 - 4 / 3 - 5 = slope

-8/-2 = slope

8/2 = slope

4/1 = slope

4 = slope

Answer:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

Required

Simplify

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

To solve this, we apply the following law of indices:

[tex]\frac{m^x}{m^y} = m^{x-y}[/tex]

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex] becomes

[tex]\frac{12}{3}a^{3-2}b^{6-4}c^{5-5}[/tex]

[tex]\frac{12}{3}a^{1}b^{2}c^{0}[/tex]

[tex]c^0 = 1[/tex]; So, we have

[tex]\frac{12}{3}a^{1}b^{2}*1[/tex]

Finally,

[tex]4ab^{2}[/tex]

Hence:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Answer:

6 ; 9 ; 11 ; 12.5; 14

B.) 3.5

Step-by-step explanation:

Given the data:

6 9 9 10 11 11 12 13 14

a.) The low = 6 (lowest value in the dataset)

b.) Q1 = Lower quartile

Q1 = 1/4(n + 1)th term

n = sample size = 9

Q1 = 1/4(9 + 1) ; 1/4(10) = 2.5th term

Q1 = (2nd + 3rd term) / 2 = (9 + 9) / 2 = 9

Median Q2:

Q2 = 1/2(9 + 1) ; 1/2(10) = 5th term = 11

Upper Quartile Q3:

Q3 = 3/4(9 + 1) ; 3/4(10) = 7.5th term

Q3 = (7th + 8th term) / 2 = (12 + 13) / 2 = 12.5

Interquartile range (Q3 - Q1)

(12.5 - 9) = 3.5

The high = 14 (highest value in the dataset)

Answer:

[tex]3x - 15 = 150 \\ 3x = 165 \\ x = 55[/tex]

Answer:

True

Step-by-step explanation: Trust me