MATHEMATICS COLLEGE

Find the value of x and the value of y.A x= 2√3, 7 = 43
B. x= 3, y = 6/3
C. x= 6/3, y = 12
D. x=21/3, y = 6

Answers

Answer 1

Answer:

Answer:

x = 6/√3 , y = 12/√3

Step-by-step explanation:

sin 60° = opposite /hypothenus

√3/2 = 6/y

cross multiply

√3y=6 x 2 = 12

y = 12/√3

Tan 60° = opposite/adjacent

tan 60° = √3

√3 = 6/x

√3x= 6

x = 6/√3

Related Questions

Law School According to the Law School Admission Council, in the fall of 2007, 66% of law school applicants wereaccepted to some law schooL4 The training program LSATisfaction claims that 163 of the 240 students trained in 2006were admitted to law school. You can safely consider these trainees to be representative of the population of law schoolapplicants. Has LSAﬁsfaction demonstrated a real improvement over the national average?a) What are the hypotheses?b) Check the conditions and ﬁnd the P-value.c) Would you recommend this program based on what you see here? Explain.
Which expression is equivalent to 4^ 5x4^ -7÷4 ^-2?4^ -44^ 04^ 5÷4^9(4^5)(4^-2)/4^-7
Simplify (x + 4)(x2 − 6x + 3). x3 − 14x2 + 3x + 12 x3 − 6x2 − 17x + 12 x3 − 10x2 − 27x + 12 x3 − 2x2 − 21x + 12
Find the volume of the cone below.
Answer that please! Thanks

Carmen has 1.50$ in a coffee can She is going to place a quarter in the can every day for x days. If she does not remove any of the money, which expression below represents the total amount of money, indollars, that she will have in the can after x days?

Answers

The correct representation for the total amount of money in dollars will be;

⇒ $1.50 + $0.35x

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:

Carmen has 1.50$ in a coffee can.

She is going to place a quarter in the can every day for x days.

Now,

Carmen has 1.50$ in a coffee can.

And, She is going to place a quarter in the can every day.

That mean;

Cost = $1.50 / 4 = $0.35

And, For x days, the cost = $0.35x

Hence, Total amount = $1.50 + $0.35x

Thus, The correct representation for the total amount of money in dollars will be;

⇒ $1.50 + $0.35x

Learn more about the expression visit:

brainly.com/question/24734894

#SPJ6

A box is in the shape of a triangular prism. . The base of the triangular face of the box is 11 centimeters (cm). The height of the triangular face of the box is 7.5 cm. The length of the box is 15 cm. V =1/2hxbxl What is the volume of the box? A 277.5 cm B 577.5 cm C 618.75 cm D1237.5 cm

Answers

Answer:

$618.75 cm^(3)$

Step-by-step explanation:

$((11 cm)(7.5 cm)(15 cm))/(2) =618.75 cm^(3)$

Write and solve an equation to find the value of x and the missing angle measures.

Answers

7x + 18 = 8x + 7 bcuz they are alternate exterior angles
18-7 = 8x - 7x
11 = x

So the angle measures are
95 and 95

Answer:

x = 11 --> angles = 95 degrees

Step-by-step explanation:

They are equal to each other so

7x + 18 = 8x + 7

Put the like terms together

18 - 7 = 8x - 7x

11 = x

so when we substitute this value of x into the equations, we get that both angles are 95 degrees.

Hope this helps!

Test the following numbers for divisibility by 3, 5, 6 and 11. (Do not divide or factorise.) a) 68 979

Answers

Final answer:

The number 68,979 is divisible by 3 but not by 5, 6, or 11.

Explanation:

To test a number for divisibility by 3, we sum up its individual digits. If the sum is divisible by 3, then the number itself is divisible by 3. For the number 68,979, the sum of its digits is 6 + 8 + 9 + 7 + 9 = 39. Since 39 is divisible by 3, 68,979 is also divisible by 3.

To test a number for divisibility by 5, we simply check if the last digit is either 0 or 5. In the number 68,979, the last digit is 9, which is neither 0 nor 5. Therefore, 68,979 is not divisible by 5.

To test a number for divisibility by 6, we need to check if it is divisible by both 2 and 3. From the previous tests, we already know that 68,979 is divisible by 3, so we now need to check if it is divisible by 2. Since the last digit is 9, which is an odd number, 68,979 is not divisible by 2, and therefore not divisible by 6.

To test a number for divisibility by 11, we take the alternating sum of its digits. In this case, we have 6 - 8 + 9 - 7 + 9 = 9. Since 9 is not divisible by 11, 68,979 is not divisible by 11.

Learn more about divisibility here:

brainly.com/question/34253396

What is the result of adding these two equations?\begin{aligned} -5x-9y &= 3 \\\\ 5x-9y &= -2 \end{aligned}
−5x−9y
5x−9y

=3
=−2

Answers

Answer:

-18y=1

Step-by-step explanation:

Did it on Khan Academy

Required information NOTE: This is a multi-part . Once an answer is submitted, you will be unable to return to this part A club has 28 members. How many ways are there to choose four members of the club to serve on an executive committee? Numeric Response nces