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
sesenic [268]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

\sin \: 45 \degree =  \frac{BC}{6 \sqrt{2} }  \\  \\  \frac{1}{ \sqrt{2} } =  \frac{BC}{6 \sqrt{2} }  \\  \\ BC = 6 \\  \\  \cos \: 60 \degree =  \frac{x}{BC }  \\  \\   \frac{1}{2}  =  \frac{x}{6 }   \\  \\ x =  \frac{6}{2}  \\  \\ x = 3

You might be interested in
1. A company was studying the demographics of their customers. As part of the study, they collected the following variables: mar
ratelena [41]

Answer:

matched

Step-by-step explanation:

Variable                              scale of measurement

-Gender                                      nominal scales

-Martial status                             nominal scales

-credit rating                                ordinal scales

( low, medium, high)

-Annual income                            Quantitative

-Age                                               ratio scale

8 0
3 years ago
The density of an object can be found using the formula below, where d is the density, m is the mass, and V is the volume.
Verizon [17]

Answer:

it is A. 2.5 g/cm3

Step-by-step explanation:

d=m/v

d=32.25/12.9

d=2.5g/cm3

5 0
3 years ago
Write an expression to find the difference in the maximum area and minimum area of a nys high school soccer field. Then evaluate
givi [52]
The maximum area of the school soccer field is given by the maximum length times the maximum width.

Thus maximum area = 120 x 80 = 9,600 square yards.

The minimum area of the school soccer field is given by the minimum length times the minimum width.

Thus maximum area = 100 x 55 = 5,500 square yards.

Therefore, the difference between the maximum area and the minimum area is 9,600 - 5,500 = 4,100 square yards.
5 0
3 years ago
61 × 5 in distributive property ​
Doss [256]

Answer:

305

Step-by-step explanation:

61 x 5 = 305

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%28%7B%20%7Bx%7D%5E%7B2%7D%20%20-%204%7D%29%5E%7B5%7D%20%28%20%7B4x%20-%205%7D%29%5E%7B4%7D
Makovka662 [10]

Let u=x^2-4 and v=4x-5. By the product rule,

\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}

By the power rule, we have (u^5)'=5u^4 and (v^4)'=4v^3, but u,v are functions of x, so we also need to apply the chain rule:

\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}

\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}

and we have

\dfrac{\mathrm du}{\mathrm dx}=2x

\dfrac{\mathrm dv}{\mathrm dx}=4

So we end up with

\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3

Replace u,v to get everything in terms of x:

\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3

We can simplify this by factoring:

10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)

=2(x^2-4)^4(4x-5)^3(28x^2-57)

7 0
3 years ago
Other questions:
  • Which equation is an identity?
    14·2 answers
  • What is the equation of the circle with center (5, -4) and radius 4?
    8·1 answer
  • Jolie has just purchased a new purse in the shape of a rectangular prism to match her favorite shoes. The purse has a length of
    12·1 answer
  • A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
    8·1 answer
  • Find the slope of the line passing through the points (-6, 1) and (-7, 8).
    13·2 answers
  • PLEASE HELP ME IM GIVING 45 POINTS AND BRAINLEST!!!!! HELP NOW
    12·1 answer
  • Guys I need help!!!<br><br> Is (1, 4) a solution to the equation y = 8x − 4?
    9·2 answers
  • Part A: Explain how you will solve this pair of equations using substitution. Show all the steps and write the solution. (5 poin
    9·1 answer
  • Help me please I'm not sure if im right​
    12·1 answer
  • Which is a perfect square?<br> O 5<br> 0001<br> O<br> 36<br> 44
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!