Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?
draw a diagram.
the two are similar bc of AAsimilarity
so 8.8 is to 4 as 22 is to x
basically the answer is 10 ft tall
С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С
Answer:
B=34.2
C=105.8
c=12.0
Step-by-step explanation:
find B using the sine rule
(sin40÷8)=(sinB÷7)
rearrange
sin B= (sin40x7)÷8
sin B=0.562
make sure to use your calculator
then press shift sin to find B
B= 34.2°
to the nearest tenth means to 1 decimal place
sum of angles in a triangle is 180
so 180-(40+34.2)=105.8°=C
use sine rule again to find c
(sin105.8÷c)=(sin40÷8)
rearrange
c= (sin 105.8x8)÷sin40
c=12.0
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1a. What does the variable "x" represent?
1b. What equation represents this word problem?
1c. What is the solution to the word problem?
(Please help me with this quiz)
Step-by-step explanation:
We are solving for the number of students in each bus, so let x represent the number of students in each bus.
We have 4 + 9x = 472.
=> 9x = 468, x = 52.
Hence there are 52 students on each bus.
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
Solve the inequality 37v < -18
Answer:
I'm not sure
Step-by-step explanation:
sorry need point
plz help due in 10 min
Answer:
the answer is A <_______________^______________
A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
(p - 4)(4p - 2)
Anybody know this
The student population of a school consists of 300 girls and 500 boys
Answer:
In all you have 800 students.
The ratio of girls to boys is 300:500
500 x 300 = 150000
Step-by-step explanation:
Hope this helps?
And this one please
If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.
Answer:
20ft
Step-by-step explanation:
20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft
Hope this helped :)
at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies
Step-by-step explanation:
Given that the ratio of zebras are 5 and giraffes are 2
We add them giving is 7
So: giraffe=2/7 × 21 = 6
Zebra 5/7 × 21 = 15
Zeke had 9 dvds. His mother bought d more DVD. Write an expression that shows how many dvds zeke has now
Answer: 9+d=x or x=9+d
d-the new dvds
x-the unknown total
9-the dvds Zeke owned before
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation:
I need help with math pls
The answer is 6
Explanation:
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
anyone can u please help me? lol
Answer:
-1/30
Step-by-step explanation:
just subtract then divide.
(this is simplest form)
nvm
my bad, i forgot some steps you can delete this answer if wanted.
There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?
Answer: 60$
Step-by-step explanation:
because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60
Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups
At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?
0.75 pizza
Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.
Answer:
0.666667
Step-by-step explanation:
8 pizzas ÷ 12 people = 0.66667 pizzas for each.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
12- (-5) + (-4 ) calculate
Round 992 to the nearest ten
Answer:
990
Step-by-step explanation:
990
2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0
I need help with this shi
Will mark brainliest!! Please do the two in green using cos!!
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]Number 2:
[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]please help asap!!!!
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
I will give brainiest to whoever answers correctly !!
34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16
Answer:
0.333333 or 1/3
Step-by-step explanation:
I hope it is 1 to 6.
2 or 3 is the 2 numbers representing success
P(2 or 3) = 2/6 = 1/3
I don't understand the choices. Can you upload a picture of the question?