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
Marianna [84]
3 years ago
10

For the right triangle shown, which expression represents the length of CA?

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Step-by-step explanation:

The attached figure shows a right angled triangle right angle at C. It is required to find the length of CA.

Here, CA = x = perpendicular

BC = base

AB = hypotenuse =7

Angle B is 40 degrees

We know that the ratio of perpendicular to the hypotenuse is equal to sine of angle.

\sin\theta=\dfrac{P}{H}\\\\\sin(40)=\dfrac{x}{7}

x is length of CA

x=7\sin(40)

So, the correct option is (A).

You might be interested in
A local restaurant charges $12 for a ham dinner and $15 for a turkey dinner. If they earned $1, 017 for their thanksgiving dinne
Darya [45]

Answer:

Step-by-step explanation:

66

5 0
3 years ago
Solve 2x2 + 20x = −38. (1 point)
RoseWind [281]

Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}


in this problem we have


x^{2} +10x+19=0

so


a=1\\b=10\\c=19


substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


x=\frac{-10(+/-)\sqrt{24}}{2}


x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


8 0
3 years ago
Read 2 more answers
The net of a square pyramid is shown
Wewaii [24]

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

                            = 8²

                            = 64 cm²

Area of one lateral triangle = \frac{1}{2}(\text{Base})(\text{Height})

                                             = \frac{1}{2}(8)(8)

                                             = 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

                                                                              = 64 + 128

                                                                              = 192 cm²

Therefore, Option (D) will be the correct option.

3 0
3 years ago
What is the range for this data set?<br> 22, 7, 14, 13, 38, 12, 19, <br> 17, 49, 13, 9, 18, 36​
Degger [83]

Answer:

from 7 to 49 or (7, 49)

Step-by-step explanation:

Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.

5 0
2 years ago
Factor completely 2x3 + 8x2 + 3x + 12.
goblinko [34]

Answer:

(2x^2+3)(x+4).

Step-by-step explanation:

2x^3+8x^2+3x+12

We need to find the factors of given equation;

Solution:

On Solving the above equation we get;

Now First we will take common factor from first 2 terms which is 2x^2 we get;

2x^2(x+4) + 3x+12

Now we will take the common factor from the last 2 terms which is 3 we get;

2x^2(x+4) + 3(x+4)

Here we get 2 terms in which (x+4) is common factor.

(x+4)(2x^2+3)

Hence After factorizing the given equation we get (2x^2+3)(x+4).

8 0
3 years ago
Other questions:
  • Sonia is creating a visual diagram to show the relationship between rational numbers and integers. She draws it to show that som
    8·1 answer
  • A number decreased by negative 7 is the same thing as 48! what is the answer?
    15·1 answer
  • PLEASE HELP!!!! What is 999 x 999?
    12·2 answers
  • 56 is 140% of what number
    12·2 answers
  • Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?
    11·2 answers
  • 3x-71=2x-50<br>I need the answer​
    14·2 answers
  • Can someone please help me on questions 11 and 12!!
    13·1 answer
  • Which of the following is a radical equation
    13·1 answer
  • Thirty people are members of a book club. Six of them are women. What percentage of the book club are men?
    5·1 answer
  • 14. 0.64,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!