Answer:
the side lengths are both 7
Step-by-step explanation:
Because the angles are both 45 degrees, the triangle is isosceles: the side lengths are equal. The hypotenuse of a model 45-45-90 triangle is √2 when the sides are 1 each:
√2 1
------ = -------
7√2 x
1 1
This can be reduced to ----- = -----
7 x
which makes it obvious that the side lengths are both 7.
Answer:
Step-by-step explanation:
It is hard to answer this but just draw the triangle ABC, and put in the side lengths, and angles.
Answer:
- 7
- see below
- 5
- the rule is not one-to-one
Step-by-step explanation:
Applying the squaring rule to each of the elements of the domain, we get ...
__
1. There are 7 different numbers in the Domain list.
2. See above
3. There are 5 different numbers in the Range list.
4. The rule "square me" is not "one-to-one" Two different values in the domain can result in the same value in the range. -3 and 3 both result in 9. -1/2 and 0.5 both result in 1/4.
Answer:
- Q3. 12 units
- Q4. 6.33 units
- Q5. 66.19°
Step-by-step explanation:
Q3
DE and DF are legs and EF is hypotenuse
- DE = √EF² - DF²
- DE = √13² - 5² = √169 - 25 = √ 144 = 12
- DE = 12 units
Q4
PR is opposite side of angle Q and RQ is adjacent side
- tan 54 = PR/RQ
- tan 54 = PR / 4.6
- PR = 4.6tan 54
- PR = 6.33 units
Q5
As previous question, using tan as BC is opposite and AC is adjacent leg of angle A
- tan A = 6.8/3
- tan A = 2.266
- A = arctan (2.266)
- A = 66.19°
Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
