the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.

Answers

Answer 1

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.


Related Questions

the picture has the question

Answers

The Last One
CD has a diameter of F

What is the area of the figure? I give brainliest! :)

Answers

Answer: I think it is 142

Step-by-step explanation:

91 + 51 = 142

what is the 3rd quartile ?

Answers

Answer:

The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

Step-by-step explanation:

you roll a number cube numbered from 1 to 6. What id the probability that the number is a 3

Answers

Answer:

1 / 6

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 }

n ( S ) = 6

Let A be the event of getting the number " 3 ".

A = { 3 }

n ( A ) = 1

P ( A ) = n ( A ) / n ( S )

P ( A ) = 1 / 6

Therefore,

the probability that the number 3 is 1 / 6.

9)
The delivery van uses 33 litres of diesel to travel 264 miles.
How far would the van travel using 40 litres of diesel?​

Answers

Answer:

find how much the truck travels in,a litre

Help thank you so much

Answers

Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☺️☺️

Help Broo i'm lost il give brainiest

Answers

Answer: here is your answer

Step-by-step explanation:

A= 16

B= -8

C= 6

D= -16

E= -4

if a sphere has radius of 13 centimeters what is the volume

Answers

The answer is 8788pi/3 Hope this helps! Mark brainly please!

Peterson Packaging Inc. does not currently pay dividends. The company will start with a ​$0.70 dividend at the end of year three and grow it by 10​% for each of the next six years. After six years of​ growth, it will fix its dividend at ​$1.36 forever. If you want a 15​% return on this​ stock, what should you pay today given this future dividend​ stream?

Answers

$1.40 because I think so

If your weekly salary is $1780 and taxes takes out $440, then what percent do you pay in taxes?
Round your answer to 1 decimal place.

Answers

Answer:

24.7

Step-by-step explanation:

If your weekly salary is $1780 and taxes takes out $440, then 24.7% you pay in taxes.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the weekly salary is One thousand seven hundred and eighty $1780.

Taxes takes out is four hundred and forty $440.

We need to find the percent of tax we have paid.

This can be found by as below.

1780x=440

Divide both sides by 1780

x=440/1780

x=0.247

Now multiply with 100 as it is a hundredth part

0.247×100=24.7%

Hence, 24.7% is the percentage of tax we have paid.

To learn more on Percentage click:

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2. 48 degrees 17 x
(solve for x. round to the nearest tenth)

Answers

Answer:

67

Step-by-step explanation:

you divide the 48/17 yo get 67

Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3

Answers

Step-by-step explanation:

[tex] - 12u + 13 = 8w - 3 \\ - 12u + 13 + 3 = 8w \\ - 12u + 16 = 8w \\ w = \frac{ - 12u + 16}{8} \\ w = \frac{ - 3}{2} u + 2[/tex]

I hope that is useful for you :)

Sean arrives at quater to 7 dinner starts at 6:30 is sean early or late for dinner

Answers

Answer:

Sean is late for dinner.

Step-by-step explanation:

A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.

If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.

What is time estimation?

When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.

If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.

In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.

To know more about time estimation follow

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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

║( - 5, 3 )║ = √34

I WILL GIVE BRAINIEST IF ANSWERED WITH EXPLANATION PLEASE HELP
Find the area of each figure. Round your answer to 2 decimal places is required.

Answers

69.82 i think

Step-by-step explanation:

First the area of a rectangle is bh, so 5 times 12 is 60. Then you have a semicircle which is half a circle, so it would be pi(radius)squared divided by 2. The diameter is 5 because it's five on the other side and rectangles have opposite sides congruent. Radius is 2.5 after dividing diameter by 2. 2.5 pi r squared is like 19.634 blah blah blah. Divide that by two and add 60 to get 69.82.

Can you please help me do a and b I will reward brainliest

Answers

Answer:

a) 640.32 cm^3

b) 98.4 cm^3

Step-by-step explanation:Part a)Cylinder volume:

(3.14) × 2^2 × 12 = 150.72 cm^3

Triangular prism:

We need to find the height of the base so we use the Pythagorean theorem.

5^2 + x^2 = 14.1^2

25 + x^2 = 198.81

x^2 = 173.81

x = 13.184

After finding height, we can use the equation for a normal triangular prism:

[tex]\frac{1}{2}[/tex] × Base × Height × Length

[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3

Total Volume: 791.04 - 150.72 = 640.32 cm^3

Part b)Small Sphere Volume:

[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3

Half Sphere Volume :

0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3

Cone Height:

5^2 = 3^2 + h^2

25 = 9 + h^2

16 = h^2

h = 4

Cone Volume:

(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3

Total Volume = 98.4 after rounding

Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?

Answers

Answer:

it might be x=63.27

Step-by-step explanation:

Find the measure of the missing angles.
b
100°
0

Answers

Step-by-step explanation:

Angle b + 100 = 180 (angles on the same straight line)

[tex]b + 100 = 180 \\ b = 180 - 100 \\ = 80[/tex]

Angle c = Angle b (Vertically opposite angles)

= 80 deg

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

697.5 ft squared

Step-by-step explanation:

Divide into top two squares and rectangle on bottom so...

(10×7.5)+(8×7.5)×(12.5×45)=area

75+60+562.5=697.5 ft squared

697.5! Should be correct the one above me explains perfectly!❤️

A local car dealership currently has 36 used GM, Food, and Toyota vehicles on the lot that are cars or turcks. Inventory shows the following: 26 vehicles are cars, 10 are trucks, 11 vehicles are GM's, 15 vehicles are Fords. Three vehicles are Toyota trucks and 14 vehicles are Ford cars. What is the probability that a randomly selected vehicle is either a Ford or a car

Answers

Answer:

P (F or C)  = 27/36= 0.75

Step-by-step explanation:

There are 36 vehicles in all.

There are total 26 cars.

There are total Ford vehicles which are 15 in number out of which 14 are cars. The results can be summarized as follows.

                           Cars                   Trucks            Total Vehicles

Ford                           14                           1                      15

Toyota                      7                              3                     10

Gm                            5                              6                     11                    

Total                        26                            10                     36      

As the events are composite

The probability of randomly selecting vehicle is either a Ford or a car is given by  P (F or C) = P(F) + P(c)- P(FC)

where P(F) is the probability of the Ford car and P (C) is the probability of the car.

P(F)= 15/ 36

P(C)= 26/36

P(FC)= 14/36

This is the additive rule applied for composite events.

P (F or C) = P(F) + P(c)- P(FC)

             = 15/36 + 26/36- 14/36

                = 27/36=0.75

Help 15 pts good luck

Answers

I’m not sure sorry....

the equation is (9+6)+4=(5+ blank)+4​

Answers

10 is your answer!! hope this helps

Answer:

10

Step-by-step explanation:

(9 + 6) + 4 = (5 + x) + 4

15 + 4 = 5 + x + 4

19 = x + 9

19 - 9 = x

10 = x

write - 5R - 5U in polar form​

Answers

Answer:

(r,0)

Step-by-step explanation:

5r - 5u = 5(r - u)

Polar time coordinate = 0

So (r, 0)

When a baby Giraffe was born it weight 150 Pounds over the next 5 years it gained Equal amounts of weight each year. The Giraffe now weight 675 pounds. How much was the weight gain per year?

Answers

Answer:

135 per year because 675 ➗ 5 = 135

Find the mean for the following group of data item 1, 7, 5, 4, 9, 6, 7, 4

Answers

Mean=(1+7+5+4+9+6+7+4)/ 8=43/8=5.375

Answer:

5.375

Step-by-step explanation:

Look at the pattern below. Which fraction would complete the pattern?
1/4, 2/8, ___, 4/12.
answer
A. 3/12
B. 3/14
C. 3/9
D. 3/15​

Answers

The answer is: A. 3/12

Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST

Answers

Answer:

1.) M=9,-9  2.) x=10,-10  3.) n=3,-3  4.) x=2,-2

Step-by-step explanation:

calculate the area of a triangle

Answers

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

what is the range (math)?​

Answers

Answer:

9-0=9

Step-by-step explanation:

highest- lowest=range

Answer:

Definition: About Transcript. The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

How to find: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

hope this helps!

help pls ! need it asap

Answers

Answer:

m∠X = 110°

m∠V = 60°

Step-by-step explanation:

1.) Angle Y and W are equal from the markers, which means the angles are equal

35*2 = 70

180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)

2.) This is another isosceles (equal angle and sides)

Some times all sides aren't equal on isosceles but you can see these are

180/3 = 60°

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