1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zavuch27 [327]
3 years ago
14

What is the value of y? Enter your answer, as an exact value, in the box.

Mathematics
2 answers:
zysi [14]3 years ago
4 0

Answer:

y = 3.46

Step-by-step explanation:

In the picture attached there are two triangles smaller and the bigger one.

Both the triangles are right angle triangles.

In both the triangles there is a common side which is hypotenuse of the smaller triangle and the same is base for larger one.

Now from smaller triangle

sin45=\frac{\sqrt{2}}{H}

\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{h}

We cross multiply on both sides

h = 2

Now in the bigger triangle

tan60 = \frac{y}{2}

\sqrt{3}=\frac{y}{2}

y = (√3)(2) = 2√3 = 3.46

Answer is y = 3.46

Amanda [17]3 years ago
3 0
So for the 40-40-90 degree triangle, whenever the two legs are x values, then the hypotenuse is x value times the square root of 2.

--> a changed into a√2
√2 changed in √2 * √2
= 2

So the hypotenuse of the 40-40-90 degree triangle is 2.

Now for the 30-60-90 degree triangle, the smallest leg with the value of x is then changed to the value of x√3 if finding the longer leg.

-> a is changed to a√3
2 is changed into 2√3


So, y is 2√3 or approximately 3.46 units.
You might be interested in
1. How many groups of days are in 1 week?
wolverine [178]

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

3 0
2 years ago
243.875 rounded to the nearest tenth hundreth ten and hundred
REY [17]
243.875 rounded to the nearest tenth is...... 243.9 :)
243.875 rounded to the nearest hundredth is ...... 243.88 :)
243.875 rounded to the nearest ten is ...... 240 :)
243.875 rounded to the nearest hundred is ......200 :)

thank you for the question and hopefully this helped you :)
7 0
3 years ago
Simon used 3 pears and 9 apples to make a fruit salad.
Art [367]

Answer:

1:3 for simplified

3:9 for unsimplified

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which ordered pair is a solution to the system?
babymother [125]

all you have to do is see whether both variables of each point meet both contraints:

for a) 1<3 and 2>1 is true so a is a solution to the system

5 0
3 years ago
. Evaluate tan(α + β) = sin(????+????) / cos(????+????) to show tan(???? + ????) = tan(????)+tan(????????) / 1−tan(????) tan(???
grandymaker [24]

Answer with Step-by-step explanation:

We are given that

tan(\alpha+\beta)

\frac{sin(\alpha+\beta}{cos(\alpha+\beta)}

By using formulatan x=\frac{sin x}{cos x}

\frac{sin\alpha cos\beta+sin\beta cos\alpha}{cos\alpha cos\beta-sin\alpha sin\beta}

By using property:sin(x+y)=sin x cosy+cos x sin y

cos(x+y)=cos x cosy-sin x siny

Divide numerator and denominator by cos\alpha cos\beta

Then, we get

\frac{\frac{sin\alpha}{cos\alpha}+\frac{sin\beta}{cos\beta}}{1-\frac{sin\alpha sin\beta}{cos\alpha cos\beta}}

tan(\alpha+\beta)=\frac{tan\alpha+tan\beta}{1-tan\alpha tan\beta}

Hence, proved

Substitute \alpha=\beta

Then we get

tan 2\alpha=\frac{tan\alpha+tan\alpha}{1-tan^2\alpha}

tan(2\alpha)=\frac{2tan\alpha}{1-tan^2\alpha}

Hence, proved.

3 0
3 years ago
Other questions:
  • If 4 is added to both numerator and denominator of 5/8, by how much is the fraction changed?
    9·1 answer
  • During the summer, Bethany mows lawns and Grant is a waiter at a coffee
    6·1 answer
  • I have 5 digits my nine is worth 9 x 10000 my two it's worth 2001 of my sevens is worth 70 the other is worth 10 times as much m
    12·1 answer
  • Convert 5.00 inches to centimeters
    12·1 answer
  • Help I'm Timed!! PLZ!!!!!!!!<br> the question is in the pic!
    5·1 answer
  • I need help with this problem :)
    9·1 answer
  • Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. Explain your reason
    11·1 answer
  • If the length of the hypotenuse is 10 m and its base leg is 6 m, what is the length of
    12·2 answers
  • Help someone I’ll give brainlist
    6·2 answers
  • Im not sure how to do this or what function to use SIN, COS, or TAN but if you could walk me through it that would be so so so a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!