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Juli2301 [7.4K]
3 years ago
9

What are the factors of 5?

Mathematics
2 answers:
sineoko [7]3 years ago
6 0
There are no factors, 5 is a prime
Shtirlitz [24]3 years ago
6 0
The answer is 1 and 5 because it is only multiplied by 1 and itself
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Step-by-step explanation:

circumference: 14π

area: 49π

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The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?
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Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

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Which of the following describes a situation in which the total distance a soccer player travels is 0 meter from his starting po
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Larry is 10 years old and his sister is 7 years old. In how many years time will there total age be 25 years?
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In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.
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1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of th
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Step-by-step explanation:  As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.

See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.

Now, in ΔADB, we have

AD^2=AB^2-BD^2

AD^2=AB^2-(1/2AB^2)^2

AD=√3/4AB^2

we can find the height of any one of the roof's triangular bases.

2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a

2. if a=25 ft, then the height is  √3/2a=√3/2*25=1.732/2*25=21.7(ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l

the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2  

so the total area of the roof is  

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.

So the total area found previously will be decreased by al

5. so the area now is √3/2a^2 + 2al  

6. now a=25 and l=2a=50

Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866

=3041.3 (ft squared)

6 0
2 years ago
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