sin H = Opposite / Hypotenuse
sin H = 5/13
sin H = 0.384615
<H = 22.6198
<H = 23 (nearest degree)
Answer is first one.
23
<u>Part 1</u>
Using the distance formula,

So, the measure of the longest side is 6 units.
<u>Part 2</u>
Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).
We already know that 
Using the distance formula,

So, ABD is a scalene triangle.
<u>Part 3</u>
From part 2, we know that the length of side AD is 5 units.
Answer:∠M in the pre-image corresponds to ∠B in the image.
Step-by-step explanation:
When we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N ,O .
Clearly , vertex C corresponds to vertex N ( presents in the middle )
Also, point B is at the right from point C .In Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.
It means ∠M in the pre-image corresponds to ∠B in the image.
brain list this answer thankyou:)
Answer:
Speed = 100/Time
Step-by-step explanation:
(a). Speed is a function of time : As seen from equation (1) Speed of the students varies according to the value of time. So, This a true statement.
(b). Time is a function of distance : Distance is not varying in the equation (1), it is fixed to be 100. So, time is not a function of distance because here the distance is made constant. So, This is false statement.
(c). Speed is a function of number of students racing : Speed is not depending on the number of students racing so sped is independent of the number of the students racing. Therefore, Speed is not a function of number of students racing. This is False statement.
(d). Time is a function of speed : As seen from equation (1) Time of the students varies according to the value of their speed. So, This a true statement.
Hence, the true statements are (a) and (d)
Answer:
6 liters
Step-by-step explanation:
Given:
Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio.
If Renata pours 18 liters of fresh kale juice, how many liters of clam juice should she add to maintain this ratio?
Solution:
Ratio to be maintain by using kale juice and clam juice = 3 : 1 ( given)
Renata pours fresh kale juice = 18 liters
We have to calculate quantity of clam juice should be added to maintain this ratio:-
Let quantity of clam juice should be added = 
<u>Ratio to be maintain : : quantity of kale juice : quantity of clam juice</u>

By cross multiplication:

By dividing both sides by 3

Thus, 6 liters of clam juice should she add.