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vlabodo [156]
2 years ago
12

a flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 meters. One of the shorter sid

es is 7 meters longer than the other. Determine the length of the shortest side
Mathematics
2 answers:
netineya [11]2 years ago
7 0
The answer is 10.4 Hope this helps
Advocard [28]2 years ago
5 0

Answer:

13 meters

Step-by-step explanation:

a right angled triangle has 2  sides that are the same .

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Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
LekaFEV [45]

Answer:

The volume of the cylinder is 150.72 cm³ ⇒ last answer

The volume of the cone is 314 cm³ ⇒ 1st answer

The volume of the pyramid is 160 cm³ ⇒ 2nd answer

The volume of the pyramid is 48 cm³ ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the volumes of some shapes

- The volume of the cylinder of radius r and height h is:

 V = π r² h

- The volume of the cone of radius r and height h is:

 V = 1/3 π r² h

- The volume of the pyramid is:

 V = 1/3 × its base area × its height

* Lets solve the problem

# A cylinder with radius 4 cm and height 3 cm

∵ V = π r² h

∵ π = 3.14

∵ r = 4 cm , h = 3 cm

∴ v = 3.14 (4)² (3) = 150.72 cm³

* The volume of the cylinder is 150.72 cm³

# A cone with radius 5 cm and height 12 cm

∵ V = 1/3 π r² h

∵ π = 3.14

∵ r = 5 cm , h = 12 cm

∴ V = 1/3 (3.14) (5)² (12) = 314 cm³

* The volume of the cone is 314 cm³

# A pyramid with base area 16 cm² and height 30 cm

∵  V = 1/3 × its base area × its height

∵ The area of the base is 16 cm²

∵ The height = 30 cm

∴ V = 1/3 (16) (30) = 160 cm³

* The volume of the pyramid is 160 cm³

# A pyramid with square base of length 3 cm and height 16 cm

∵  V = 1/3 × its base area × its height

∵ The area of the square = s²

∵ The area of the base = 3² = 9 cm²

∵ The height = 16 cm

∴ V = 1/3 (9) (16) = 48 cm³

* The volume of the pyramid is 48 cm³

3 0
2 years ago
Read 2 more answers
Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio
maria [59]

Answer:

Number of essay questions are 9.

Step-by-step explanation:

Let the number of multiple choice questions = x and the number of essay questions = y.

As, the total number of question are 26. We get, x+y=26

Also, the multiple choice and the essay questions worth 3 and 8 points each.

Since, the total number of points of the test are 123.

So, we have, 3x+8y=123

So, the system of equations is,

x+y=26       ...........................(1)

3x+8y=123  ............................(2)

Multiply (1) by 3 and subtracting by (2), we get,

5y = 45 i.e. y = 9

So, x+y=26 implies x = 26 - y i.e. x = 26 - 9 i.e x = 17

Thus, the number of multiple choice questions and essay questions are 17 and 9 respectively.

5 0
2 years ago
A 10K run is 10 kilometers long. If 1 meter = 1.094 yards, use dimensional analysis to find the length of the race in miles. (Hi
laila [671]
10936.1 yards = 10 kilometers                                                                              1 kilometer = 1093.1 yards                  



7 0
2 years ago
Read 2 more answers
If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.
Reil [10]

Answer:

Option D is correct.

Step-by-step explanation

Principal =  $9250

rate of interest = 7%  or 0.07

time = 5 years or 260 weeks

      [ Since there are 52 weeks in a year . for 5 years it will be 5x52=260 weeks]

Applying the formula  

Amount after t years =       P(1+\frac{r}{n} )^{nt}

                                         where P = principal

                                                     r = rate % in decimals

                                                    n= number of times in a year

                                                     t = times ( in years)

                          plugging the values  in the formula

              Amount =  9250(1+\frac{0.07}{52} )^{(52X(5)}

                             =  9250(1+0.001346 )^{(260)}

                              = 9250(1.001346 )^{(260)}

                               = 9250(1.418733588)

                                =$13123.29

5 0
2 years ago
What is 4x-4y/2=x+2 in slope intercept form?
Alla [95]

Answer:

The equation would be y = 3/2x - 1

Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

-4y/2=-3x+2 ----> Multiply both sides by 2

-4y = -6x + 4 -----> Divide by -4

y = 3/2x - 1

3 0
2 years ago
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