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
Annette [7]
3 years ago
6

Cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees

Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Step-by-step explanation:

\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180

But we know that

\cos 90 = \cos 270 = \sin 180 = 0

and

\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}

so this leaves us with just

\sec^2 45 \sin 30 = (\sqrt{2})^2  \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}

You might be interested in
There are 40 students in a class.
Anvisha [2.4K]

Step-by-step explanation:

Total no. of students = 40

Total no. of girls = 22

Total no. of boys = 40 - 22 = 18

No. of girls walking to school = 9

No. of girls who cycle to school = 22 - 9

No. of boys who cycle to school = 7

No. of students who take the bus = 10

(6 boys and 4 girls)

No. of boys who walk to school = 18 - (7 + 6) = 5

Total no. of students who walk to school = 9 + 5 = 14

5 0
3 years ago
What is the value of x in the equation 1/3x-2/3=-18?
MA_775_DIABLO [31]
\frac{1}{3}  x- \frac{2}{3} = -18

x-2=-54

x=-54+2

x=-52
6 0
3 years ago
Read 2 more answers
Find an equation of the line described below. Write the equation is slope-intercept from ( solved for y), when possible. Through
Sladkaya [172]

Answer:

The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

Step-by-step explanation:

Given that the line passes through the point (5,4).

As the line is parallel to the x-axis, the slope of the line would be zero.

And we have point (5,4) from which the line is passing.

So, x_1=5\  ,\ y_1=4\ and\ m=0

The equation of the line passing through point (x_1,y_1) is

y-y_1=m(x-x_1)\\y-4=0(x-5)\\y-4=0\\y=4

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

4 0
3 years ago
Please help with the attached photo.
mina [271]

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

In polar form:

r = √(x² + y²) and cosФ = x / √(x² + y²)

Hence:

r(1 - 2cosФ) = 1

√(x² + y²) [1 - 2(x / √(x² + y²))] = 1

√(x² + y²) - 2x = 1

Take square of both sides:

x² + y² - 4x√(x² + y²)  + 4x² = 1

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Find the surface area of a sphere with a volume of 36π in3.
swat32
First use known volume to solve for radius:
V=\frac{4}{3}\pi r^{3}
r=\sqrt[3]{\frac{3V}{4\pi}}
r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}
r=\sqrt[3]{27}
r=3

Then use the radius to get the surface area:
A_{surf}=4 \pi r^{2}
A_{surf}=4 \pi 3^{2}
A_{surf}=4 \pi 9
A_{surf}=36\pi\approx113.09
6 0
3 years ago
Other questions:
  • A rectangular section of a wall in a library is 90 in. long and 72 in. wide. A librarian is hanging photos on this section of th
    5·2 answers
  • jenna eats dinner at a restaurant. her bill is 14.50. jenna pays her bill and leaves a tip. write an inequality to represent the
    5·1 answer
  • Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the le
    6·2 answers
  • 0.3,3,30,300 what r the next three numbers? How much are they going up in each time
    13·1 answer
  • Which sum or difference identity could be used to prove that sin(π + q) = -sin q
    15·2 answers
  • Which statement is true?<br><br> pls help me ! * ill give you BRAINLIST , have to get it right * !
    5·1 answer
  • Use mental math to simplify.<br> (4.55 + 27) + 5.45
    5·2 answers
  • Solve by substitution. Show each step of your work.
    7·2 answers
  • After a person's dog repeatedly keeps his neighbors up barking, they are able to come to an agreement that if he is unable to qu
    10·1 answer
  • 1. Which of the following statements is NOT a property of parallelograms?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!