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GarryVolchara [31]
3 years ago
15

Help me pleaseee......

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

x = 6, side lengths = 36 and 18 ft

Step-by-step explanation:

If you use the Pythagorean theorem which is a squared + b squared = c squared, you get 40 squared + 6x squared + 3x squared. If you plug in 5 you get 5 × 6 = 30, and 3 × 5 = 18. So with 18 and 30, you squared them so you get 324 and 1296. Add them together and you get 1620, which is the nearest to 1600, which is 40 squared.

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Consider the following frequency distribution.
Zarrin [17]

Answer:

Class interval                            10-19 20-29 30-39 40-49 50-59

cumulative frequency               10      24       41        48       50

cumulative relative frequency 0.2   0.48     0.82    0.96      1

Step-by-step explanation:

1.

We are given the frequency of each class interval and we have to find the respective cumulative frequency and cumulative relative frequency.

Cumulative frequency

10

10+14=24

14+17=41

41+7=48

48+2=50

sum of frequencies is 50 so the relative frequency is f/50.

Relative frequency

10/50=0.2

14/50=0.28

17/50=0.34

7/50=0.14

2/50=0.04

Cumulative relative frequency

0.2

0.2+0.28=0.48

0.48+0.34=0.82

0.82+0.14=0.96

0.96+0.04=1

The cumulative relative frequency is calculated using relative frequency.

Relative frequency is calculated by dividing the respective frequency to the sum of frequency.

The cumulative frequency is calculated by adding the frequency of respective class to the sum of frequencies of previous classes.

The cumulative relative frequency is calculated by adding the relative frequency of respective class to the sum of relative frequencies of previous classes.

4 0
3 years ago
URGENT AND SIMPLE question pls:))) You dont have to do all of it, if you could just give me the equation for this problem, that
Mashcka [7]

If Ann can build the model in 3 hours, then in 1 hour she gets 1/3 of it done. Likewise, if Sam can build the model in 6 hours, then in 1 hour he gets 1/6 of it done. We are looking to find how long it takes when they combine their efforts, so we will add the two together and set it equal to 1/x, x being the number of hours it takes for both of them to get the whole job done. The equation then looks like this: \frac{1}{3}+\frac{1}{6}=\frac{1}{x}. You will have to find the common denominator to add those fractions, and once you do, cross multiply to solve for x.

5 0
3 years ago
what is the volume measured in cubic centimeters, of the box below? do not include units in your answer
Karo-lina-s [1.5K]

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

7 0
3 years ago
Read 2 more answers
Volume of prisms just 3 problems
Vladimir79 [104]

Answer:

2.  18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4.  We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0
3 years ago
Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, h
Bess [88]

Answer:

It will take 22.5 weeks for her to save up to buy the dress.

Step-by-step explanation:

1/3 of $6.00 is 2.

(6 ÷ 3 = 2)

So she's saving $2 each week.

Now we need to divide $45 by $2 to get the number of weeks.

45 ÷ 2 = 22.5

8 0
2 years ago
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