Answer:
36
Step-by-step explanation:
90÷5=18
18×2=36
We multiply two because the ration for adults is 2
Answer:
35
Step-by-step explanation:
We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.
Apparently, the dad's age is 5·7 = 35.
___
The GCF is 5; the LCM is 70 = 5×14.
_____
Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...
(2 [5) 7]
where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.
Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.
Answer:
Andres has 12 stars.
Step-by-step explanation:
- 3 stars - 1 goal
- -3/4 stars - Missed goal
- Scored 5
- Missed 4
3 * 5 = 15
He has 15 stars but then misses 4 goals.
3/4 * 4 = 3
He loses 3 stars becuase he missed 4 goals.
15 - 3 = 12
He ends with 12 stars.
Options A,B and D. The correction about the area of the triangle are
- The apothem can be found using the Pythagorean theorem.
- The apothem can be found using the tangent ratio.
- The length of the apothem is approximately 2.5 cm.
<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>
Firstly this is an equilateral triangle
3 of the sides have the length of 8.7cm
b = half of 8.7
= 4.35cm
To get A we have
a² + b² = c²
a² + 4.35² = 5²
When we solve this out we would have
a² = 25 - 18.9225
a ≈ 2.5 cm.
Hence we have proved that the first option is correct.
<u>For B,</u>
In an equilateral triangles, each of the angles = 60 degrees
60/2 = 30 is the angle that is made from the base
<h3>using tangent ratios </h3>
a / 4.35 = tan 30
then a = 4.35 tan 30
This would also give us an approximate of 2.5
For D
The calculations we have done based on the statements in A and B shows that D is correct as 2.5.
Read more on triangles here:
brainly.com/question/18404158
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