consider the right triangle shown. what are the values of sin x and cos x?
A. sin x = 5/13, cos x = 12/13
B. sin x= 12/13, cos x= 5/13
C. sin x= 13/5, cos x= 13/12
D. sin x = 13/12, cos x= 13/5​

Answer:

2762 in²

Step-by-step explanation:

The total surface area of a figure is the sum of the areas of its faces.

Area of rectangle= length ×breadth

Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.

Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.

Surface area of the figure

= 2(7)(19) +2(48)(7) +2(48)(19)

= 266 +672 +1824

= 2762 in²

An equation is formed of two equal expressions. The solution of the equation is 4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be written as,

[tex]\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4[/tex]

Thus, the solution of the equation is 4.

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Answer:

c

Step-by-step explanation:

Answer:

56.25π cm^2

Step-by-step explanation:

circumference = 15π

diameter*π = circumference

diameter = 15π/π

radius*2 = diameter

radius*2 = 15

radius = 7.5

area = π*radius^2

area = π*7.5^2

area = 56.25π

Answer:

A = 56.25π cm²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

to find r use the circumference formula

C = 2πr

given C = 15π , then

2πr = 15π ( divide both sides by 2π )

r = 7.5 cm

then

A = π × 7.5² = 56.25π cm²

Answer:

c

Step-by-step explanation:

Answer:

The length is 4.8 mm

Step-by-step explanation:

The area of a rectangle is calculated by multiplying the length times the width. So:

46.56 = l * w

46.56 = l * 9.7

To find the length, we must get "l" alone. To do this, we must divide both sides by 9.7.

46.56/9.7 = 4.8

4.8 = l

The length is 4.8

A function assigns values. The inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.

A function assigns the value of each element of one set to the other specific element of another set.

The domain of a function is a set of values for which the equation is satisfied. Since the function has under root values, the value which is under the root should be non-negative so that it does not give a complex number,  therefore,

The inequality [tex]\sqrt{\dfrac12x^2-10}\geq 0[/tex]satisfied to find the domain of the function f(x).

Also, we can write that 0.5x²-10≥0 for the value to be positive.

Hence, the inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.

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Answer:

[tex]113\° = \angle A[/tex]

Step-by-step explanation:

Given:

If ∠A is equivalent to ∠B, then...

[tex]\implies 7x - 20 = 6x - 1[/tex]

Add 1 both sides:

[tex]\implies 7x - 20 + 1= 6x - 1 + 1[/tex]

Simplify both sides:

[tex]\implies 7x - 19= 6x[/tex]

Subtract 7x both sides:

[tex]\implies 7x- 7x - 19= 6x - 7x[/tex]

Simplify both sides:

[tex]\implies -19= -x[/tex]

Divide both sides by -1:

[tex]\implies \dfrac{-19}{-1} = \dfrac{-x}{-1}[/tex]

Simplify both sides:

[tex]\implies 19= x[/tex]

Substitute the value of x into "7x - 20" to determine ∠A:

[tex]\implies 7x - 20 = \angle A[/tex]

[tex]\implies 7(19) - 20 = \angle A[/tex]

Simplify the expression:

[tex]\implies 133 - 20 = \angle A[/tex]

[tex]\implies 113\° = \angle A[/tex]

Answer:

∠ A = 133

Step-by-step explanation:

Putting both angels together

Since,

m ∠ A = (7x-20)

m ∠ B = (6x-1)

Thus,

(7x-20) = (6x-1)

Solving for x:

7x  - 20 = 6x -1

  +20           +20

-------------------------

7x =  6x + 19

-6x    -6x  

-----------------------

1x = 19  

x = 19

7(19) -20 =  113

6(19) - 1 = 113  

Hence measure of m ∠ A = 113

~lenvy~

Answer:

Possible dimensions are 10, 4, and 216.

Step-by-step explanation:

All we have to do is find three numbers, that when multiplied, equal 8,640.

I found the numbers 10, 4, and 216.

Answer:

A: y= -1x+1

B: y= 1/3x-3

Step-by-step explanation:

slope intercept form

y=mx+b

Answer:

Colonel Mustard would need to use 2 cubes of wax

pls give brainlyist

Step-by-step explanation:

first solve for area of cone

V = 1/3(BH)

1/3(18.84955592 * 11)

69.11503837cm^3

then solve for the cubes

B*H*W

4*4*4

64cm^3

divide the cone volume by the cubes volume and round up to the largest  hole number

1.07992247

round up

2

Answer:

1.36

Step-by-step explanation:

Answer:

1.7 hours

Step-by-step explanation:

IXL is pain.

Answer:i dont know sorry but i think its c

Step-by-step explanation:

Binomials are polynomials with two terms.The product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The product of the binomial can be done as,

[tex](4a-1) \times (2b+3)\\\\= (4a \times 2b)+(4a \times 3)+(-1 \times 2b)+(-1\times 3) \\\\= 8ab+12a-2b-3[/tex]

Thus, the product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.

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Answer:

Answer is D

Step-by-step explanation:

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

Answer:

total surface area 84.72 m2

lateral surface area 68.44 m2

top surface area 8.14 m2

bottom surface area  8.14 m2

m2= squared btw

Answer:

Step-by-step explanation:

  4s2 + 19s + 7  

 ————————

 (s + 1)2 • (s + 3)

Answer:

5/7 cannot be simplified any further

Step-by-step explanation:

Answer:

$25 >= 14.99+2.75x

Step-by-step explanation:

Answer:

Find by using 1st derivative test (tests slope) or 2nd derivative test (test concavity). Maximum is 18.75.

Step-by-step explanation:

The maximum of the equation is found when the slope is 0; therefore, take the derivative of the equation, find the critical point and find whether the function is increasing or decreasing around the critical point. To do this use test values within the interval of (-∞, 4.5) and (4.5, ∞). You then find that (-∞, 4.5) is increasing meaning there is a maximum. Plug in 4.5 into f(x) to find the y value.

Second method is using the 2nd derivative test. Find the second derivative and use the same method of testing intervals but instead plugging in test values to the 2nd derivative. You then find that f''(x) is < 0 meaning the function is concave down, thus having a maximum. Plug in 4.5 to find the y value.

The monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.

loan amount P = $3000

Rate of interest = 7.5% per annum

So, monthly rate of interest r= 7.5/12 %

Tenure n = 36 months

The formula to calculate monthly payments is given

[tex]EMI=\frac{Pr}{1-(r+1)^{-n} }[/tex]...........(1)

Where P =loan amount

r = monthly rate of interest

n=tenure

So by substituting the given values in (1) the monthly payment = $93.32

Hence, the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.

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Answer:

$20.00

Step-by-step explanation:

t represents the total amount

0.25t = 5.00

Can you solve for t and answer?

Or logically

Peter's $5.00 is 1/4 (25%) of the total.

Therefore 4/4 is $20.00

Answer:

$40.00

Step-by-step explanation:

Peter's $12.00 is 30% of the total money all the brothers had.

$12.00 divided by 30% (.30) = $40.00

To double check, multiply $40.00 total money X Peter's share of 30%

$40.00 X 30% (.3) = $12,00

Answer:

112

Step-by-step explanation:

1:8

14:x

8x14=112

X=112

Answer:

112 m

Step-by-step explanation:

1 cm : 8 m

14 cm : ?

= 14 x 8

= 112 m

Answer:

x = 23

Step-by-step explanation:

2x -3 + 47 = 90

2x = 46

x = 23

An equation is formed when two equal expressions. The equation has only one solution which is equal to 16.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution to the equation can be done in the following manner,

[tex]\dfrac{3}{2g+8} = \dfrac{g+2}{g^2-16}\\\\3(g^2-16)= (g+2)(2g+8)\\\\3g^2 - 48 = 2g^2+8g+4g+16\\\\3g^2-48=2g^2+12g+16\\\\3g^2-2g^2-12g-48-16=0\\\\g^2-12g-64=0\\\\g^2-16g+4g-64=0\\\\g(g-16) + 4 (g-16)=0\\\\(g-16)(g+4)=0[/tex]

Thus, we will get the value of g as -4 and 16. But if we substitute the value of g as -4, the equation will have 0 as the denominator on both sides.

Hence, the equation has only one solution which is equal to 16.

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Answer:

D

Step-by-step explanation:

D

Answer:

D.  310.86 L

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\pi r^2h[/tex]

where:

Given:

[tex]\implies \sf \textsf{Volume of the tank}=(3.14)(0.3)^2(1.1)=0.31086\:m^3[/tex]

[tex]\sf 1\:liter = 1000\:cm^3[/tex]

To convert cubic cm to cubic meters, divide by 1,000,000:

[tex]\implies \sf 1\:liter =\dfrac{1000}{1,000,000} = 0.001\:m^3[/tex]

[tex]\implies \sf \textsf{Volume of the tank}=\dfrac{0.31086}{0.001}=310.86\:L[/tex]

Answer:

9)  A.  ∠1 and ∠3

10)  B.  Angle 2

11)  B.  110°

12)  B.  70°

Step-by-step explanation:

Vertical angles:  a pair of opposite angles formed by two lines intersecting.  Vertical angles are congruent.

The vertical angles in the given diagram are ∠1 and ∠3  AND  ∠2 and ∠4

These pairs of angles are equal, so: ∠1 =∠3  AND ∠2 =∠4

Therefore:

If ∠1 = 110°  then  ∠3 = 110°

If ∠2 = 70°  then  ∠4 = 70°