Unit 8: right triangles and trigonometry
Homework 2: special right triangles
HELP PLEASE!!
Answers
Answer:
x=50
y=25
Step-by-step explanation:
So for this triangle we can use trig. To find side x (the hypotenuse) we can do sin60 degrees. *remember SOHCAHTOA, so sin is opposite over hypotenuse.
sin60degrees=(25 * sqrt of 3)/x
multiply each side by x to get xsin60degrees=25*sqrt of 3. Then divide both sides by sin60degrees. Plug that in a calculator and you should get 50.
For side y, well you can use the characteristics of 30-60-90 triangles and by doing this we know that the short leg of this type of triangle is HALF of the hypotenuse and half of 50 is 25. If you didn't know this you could still use the cos of 60 degrees and get 25 as well.
Related Questions
what is the distance between (0, -2) and (9, 10) ? please show your work so i can understand thank you
Answers
Given:
The two points are (0, -2) and (9, 10).
To find:
The distance between the given points.
Solution:
Distance between the two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the above distance formula, the distance between given points is
[tex]d=\sqrt{(9-0)^2+(10-(-2))^2}[/tex]
[tex]d=\sqrt{(9)^2+(10+2)^2}[/tex]
[tex]d=\sqrt{81+(12)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{81+144}[/tex]
[tex]d=\sqrt{225}[/tex]
[tex]d=15[/tex]
Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.
Write the equation of the line in slope-intercept form that passes through the following points:
(-5, 6) and (-2, 1)
a) Slope:
b) Y-Intercept:
c) Equation in Slope Intercept Form:
Answers
Answer:
the slope is -1 2/3
The y-intercept is -1.4
The equation in y = mx + b form is
y = –5/3x - 2 1/3
Step-by-step explanation:
Give an
example using exponent rules that simplifies to 1
Answers
write an equation in point-slope form of the line that passes through the point (-3,6) and has a slope of 5
Answers
Answer:
y=5x + 21
Step-by-step explanation:
y=5x×b
6= -15+b
b=21
what is the missing value in the equivalent ratio 18:27= 16:__
answer choices:
a:24
b:25
c:26
Answers
Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)
Answers
9514 1404 393
Answer:
(x+ (-4), y+ (-4))
Step-by-step explanation:
After point D is reflected across the y-axis, its coordinates are ...
D(-1, 2) ⇒ D'(1, 2)
This is the point that gets translated to F(-3, -2). The translation is ...
F -D' = (-3, -2) -(1, 2) = (-3-1, -2-2) = (-4, -4)
Then the translation rule is ...
(x, y) ⇒ (x+(-4), y+(-4))
What radius help me ! Help !
Answers
Then dived by 3.14
You just need to reverse the equation
Answer is 11
The radius is 11
Hope this helps!
find the value of x
7x+2=16
Answers
i hate that this has to be 20 things long
PLEASE ANSWER THIS ASAP!!!!
Answers
Answer:
300
Step-by-step explanation:
→ First substitute the biggest number into it
45% of 300 =
→ Do 45 × 300
13500
→ Divide answer by 100
135
→ Therefore 45% of 300 = 135
A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.
Answers
Answer:
14 m
Step-by-step explanation:
Speed = 28 mph
Time = 30 minutes = 30/60 = 1/2 hour
Distance = speed * time
= 28 * [tex]\frac{1}{2}[/tex]
= 14 m
Answer:
14 miles
Step-by-step explanation:
please help ..............
Answers
Answer:
3/1
Step-by-step explanation:
Line is passing through the points (0, 0) and (1, 3)
Slope of the line
[tex] = \frac{3 - 0}{1 - 0} \\ \\ = \frac{3}{1}[/tex]
The perimeter of a square is 66.8 cm. What is the side length of the square?
A) What is the equation that models this situation?
B) Use the equation to find the side length of the square.
Answers
Answer:
b
Step-by-step explanation:
What is 26 - 16? Can anyone tell me?
Answers
Answer:
10
Step-by-step explanation:
Answer:
26 - 16=10 is your answer
a model plane has a scale of 1 in: 2 ft. if the real plane is 12 ft tall then how tall is the model plane.
Answers
Answer:
6ft tall
Step-by-step explanation:
Given we know that the scale is 1 in 2ft.
Using this information we know we could divide 12/2=6. We also know that we could multiply 2×6=12. Therefore, we know that the model plane is 6ft tall.
I hope this helps!
PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
tickets and the total was $525. On day two, they sold 45 child tickets and 65 adult tickets and the total
was $460. What was the cost of the adult tickets?
Answers
Answer:
Y = 6
Step-by-step explanation:
On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?
Day 1: 3x + 7y = 72
Day 2: 7x + 16y = 152
This becomes a system of equations.
3x+8y=72
3x+8y+−8y=72+−8y (Add -8y to both sides)
3x=−8y+72
3x/3 = −(8y+72)/3
X = (-8/3) y + 24
Substitute (-8/3) y + 24 for x in7x+16y=152:
7(-8/3 y + 24) + 16y = 152
-8/3 y + 168 = 152 (Simplify both sides of the equation)
-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)
-8/3 y = -16
(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)
y = 6
Ian bought a can of soup to give to his friend.(Ian is cheap) Now he wants to wrap the entire soup can. If the can has a circular base with a diameter of 4 inches and a height of 6 inches, how much wrapping paper will Ian need?
Answers
Answer:10inches
Step-by-step explanation:
A preschool has a student to teacher ratio of 5:2 The total number of students and teachers was 56 last year and is 70 this year How many students and teachers were there for each of the two years
Answers
Answer:
Step-by-step explanation:
Student : teacher = 5 : 2
Number of students = 5x
Number of teachers = 2x
Last year:
Last year Total = 56
5x+ 2x = 56
7x = 56
x = 56/7
x = 8
Number of students = 5*8 = 40
Number of teachers = 2*8 = 16
This year:Total = 70
5x + 2x = 70
7x = 70
x = 70/7
x = 10
Number of students = 5*10 = 50
Number of teachers = 2*10 = 20
An amusement park charges an admission fee of 50 dollars per person. The cost, (in dollars), of admission for a group of 5 people is given by the following.
Answers
Answer:
250 I think
Step-by-step explanation:
Try 250
SORRY If I am wrong
-x + 6y = -8
x-6y=8
Answers
Answer:
inifinitely many solutions
Step-by-step explanation:
2. Which expression is equivalent to 11-4x118?
A.
121-32
B.
11-32
C.
114
D.
1214
Answers
helllpppp me i will make you the brillientist
Answers
Angle D and Angle F are supplementary. The measure of Angle D is (3x + 5), and the measure of angle F is (2x). What is the measure of Angle D? (It’s not asking for x)
Answers
Step-by-step explanation:
Two angles are called suplementary when their measures add to 180 degrees.
D+F= 180
3x+5+2x= 180
5x+5=180
5x= 175
x= 35°
angle D = 3x+5= 3(35)+5= 110°
Keylina used 8 cups of chocolate chips to make 4 batches of muffins. Which of the following rates represent the cups of chocolate chips per batch of muffins?
Answers
2 cup per batch.
8 ÷ 4 = 2
At East Coast Dogs, 9 of the last 18 customers wanted mustard on their hot dogs. Considering this data, how many of the next 8 customers would you expect to want mustard?
Answers
Answer:
9
Step-by-step explanation:
because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer
Answer:
57
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(mustard)
=
mustard
total
=
mustard
mustard+other
=
30
30+10
=
30
40
=
3
4
The experimental probability is
3
4
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
3
4
=
n
76
3
4
(476)
=
n
76
(476) Multiply both sides by (476)
376
= 4n Simplify
228
= 4n Simplify
57
= n Divide both sides by 4
You would expect 57 of the next 76 customers to want mustard.
What does to solve the equation x - 2 = 9 (hint: you would need to subtract 2) form both sides of the equation am I correct?
Answers
Answer:
I think the answer to X = 11.
Step-by-step explanation:
X - 2 = 9, correct?
11 - 2 = 9.
I hope this can help! Please correct me
if i got it wrong. :D
1. Which expression is equivalent to c+C -0.44?
A. 1.44c
B.1.56c
C c-0.44
D.2c -0.44
Please help RN please
Answers
Answer:
I think B but Im not 100% sure
Mhanifa please help! This is due in 1 hour! I will mark brainliest! Random answers will be reported
Answers
Answer:
m∠M = 33°Step-by-step explanation:
Given
ΔXYZ ≅ ΔMNLCorresponding angles are congruent:
∠X≅∠Mm∠X = m∠Mm∠X = 33° ⇒ m∠M = 33°Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the past year, Yolanda watched 64 movies that she thought were very good. She watched 80 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
81%
Step-by-step explanation:
SHOPPING Ramos went to a pizza shop and spent half of
his money on lunch. If Ramos had $4.50 left after lunch,
how much money did he have originally?
EE
THE
HELSE
TELEP
Help i need it quick
Answers
which statement correctly describes the rage of change between hours studied and corresponding test scores of the two students?
A. Jake’s test scores increased by 1 point more than Howie’s test scores for each hour studied.
B. Jake’s test scores increased by 3 points more than Howie’s test scores for each hour studied.
C. Howie’s test scores increased by 1 point more than Jake’s test scores for each hour studied.
D. Howie’s test scores increased by 3 points more than Jake’s test scores for each hour studied.
Answers
Answer:
A. is ur answer
Step-by-step explanation:
the rate of change for Jack is 7 points increased for each additional hour studied and the rate of change for Howie is 6 points increased per hour so 7-6 is equal to 1.
hope this helps <3