Answer:
D)
Step-by-step explanation:
A)
B)
C)
D)
Answer:
x = 72
Step-by-step explanation:
These angles are complementary so they add up to 90:
x + 18 = 90
x = 90 - 18
x = 72
Answer: 1, 2, 5, and 10
Step-by-step explanation: To find the factors of 10, begin by dividing 10 by 1 which gives us 10. This tells us that 1 and 10 are factors of 10. Next, divide 10 by 2 which gives us 5. This tells us that 2 and 5 are also factors of 10. Next, divide 10 by 3. Notice that 10 doesn't divide evenly by 3 so 3 is not a factor of 10. Next, divide 10 by 4. Since 10 doesn't divide evenly by 4, then 4 is not a factor of 10. Next, divide 10 by 5 which gives us 2. This tells us that 5 and 2 are factors of 10 but notice that we already know that 5 and 2 are factors of 10. This means that 5 and 2 are repeat factors.
There is no need to repeat factors that we already know. In fact, as we are writing the factors of a number, it's important to understand that once we hit repeat factors, all other factors that we try will also repeat.
So here, dividing by anything greater than 5 will give us factors that we already know so we can stop here.
This means that the factors of 10 are 1, 2, 5, and 10.
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
Answer:
The largest number is 13
Step-by-step explanation:
Here, we want to find the largest number which divides 60 and 75 to leave remainders 8 and 10 respectively
What this means is that we are looking for numbers such that when we divide 60 by it, we get remainder 8 and when we divide 75 by it, we get remainder 10
For 60;
The number is 13 for 60
This is because, since we are looking at leaving remainder 8, that means the actual figure we are looking at is 60-8 = 52
13 is actually the biggest factor of 52 in this case
For 75;
we are looking at remainder 10; take this away from 75, that will be 75-10 = 65
Also the factor here is 13 because 13 * 5 = 65 and we are 10 units away from 75