In triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find tan A if c = 17 and a = 8

22.8 gms

Step-by-step explanation:

Step 1:

Given,

Mass of the element = 590 gms

Percentage decay per minute = 19.5%

Step 2 :

Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805

Hence the fraction of element remaining after 15 minutes  = [tex]0.805^{15}[/tex] = 0.03863

So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram

mass of the element remaining after 15 minutes = 22.8 gms

Answer:

22.8

Step-by-step explanation:

answered on delta math and got it correct

The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.

To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.

First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.

Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.

Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.

Therefore, the circle's center is at (3, -3), and its radius is 10.

Answer:

The lender reduces the amount of principal that the borrower owes, with no expectation of repayment. Debt Forgiveness is analogous to a principal reduction. This is a more effective way to reduce payments than either lowering the interest rate on the mortgage, or extending the terms.

Answer:

they avoid foreclosure cost

Step-by-step explanation:

took the bullet

Answer:

3 / 2 dozen

Step-by-step explanation:

5 + 1/4   -    3 + 3/4

21/4    -    15/4

6 / 4

3 / 2

f(x) =2x+5

=2*3+5

=6+5

=11

=b

Answer:

b) 11

Step-by-step explanation:

step 1: f(3)=2(3)+5

substitute (plug in) the value of x which in here is 3

step 2: 2(3)=6 +5= 11

follow order of operations

P - parenthesis

E- exponent

MD- multiply and divide from left to right

AS- add and subtract from left to right

Answer:

Theta=38° to the nearest degree

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:4/3

Step-by-step explanation:

Answer: The area of the shaded region is 150.72 km^2

Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as

Circumference = 2 x Pi x radius

With the values available, we now have

25.12 = 2 x 3.14 x radius

25.12 = 6.28 x radius

Divide both sides of the equation by 6.28

radius = 4

Having calculated the radius of the inner circle, the area now becomes;

Area = Pi x radius^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 km^2

The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.

Next we calculate the area of the outer circle which is

Area = Pi x radius^2

Area = 3.14 x 8^2

Area = 3.14 x 64

Area = 200.96 km^2

Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is

Area of shaded region = 200.96 - 50.24

= 150.72 km^2

Answer:

vertex is 4

Step-by-step explanation:

y = (x-4)^2 + 7

(x-4) (x-4)

x * x = x^2

x * -4 = -4x

-4 * x = -4x

-4 * -4 =16

x^2 - 8x + 16

y = x^2 -8x + 16 + 7

y =  x^2 -8x + 23

       a     b     c

formula to find vertex: -b / 2a

= -b / 2a

= - (-8) / 2 (1)

= 8 / 2

= 4

vertex = 4

(what i did was work out the exponent outsite the parentesis then i got the equation i wanted, and from that equation i used the formula to find the vertex and i just plugged the numbers of the equation into the formula and work it out)

Answer:

(4,7)

Step-by-step explanation:

The equation for a parabola can be written as

y = a(x-h)^2 +k  where (h,k) is the vertex

given f(x) = (x-4)^2+7

The vertex is (4,7)

Answer:

Negative 4 n + 8 + 9 n minus 2 and 5 n + 6

Step-by-step explanation:

3v + 5 - (9v + 2)

3v + 5 - 9v -2 = -6v + 3

-6v + 6

(NO)

-6n + 3 - (2n + 2)

-6n + 3 - 2n - 4 = -8n - 1

-8n + 6

(NO)

-4n + 8 + 9n - 2 = 5n + 6

5n + 6

(YES)

Answer:

The answer is c

Answer:

D

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

-10 divided by -5 is 2.  The two negatives cancel each other out.

Answer:

two is the correct answer

Step-by-step explanation:

Answer:

12 = y

Step-by-step explanation:

To make figuring this equation out easier, you will want to make all the fractions have the same denominator but stay equivalent to their original state. By this I mean, to get 6/8 to have the same denominator as y/16 but still be equivalent o 6/8, you will have to multiply it 2. That leaves you with 12/16 = y/16. Now that the equation has been modified, we can now solve it. You want to get the variable, y, isolated on one side of the equation. To do this, you want to multiply both sides of the equation by 16 since both sides of the equation are being divided by 16. This equation will look like this: 12/16 = y/16  -->  12 = y

I hope this helps

Answer:

2 1/3 or 7/3

Step-by-step explanation:

I would simplify it to 14/3 and 7/3 then subtract which you get 7/3 then simplify it to the original state which is 2 1/3. Hope this helps :)

The yard, whose symbol is yd, is standardized as 0.9144 meters since 1959.  The unit system that use it is both the imperial and the US units. On the other hand, the foot, whose symbol is ft, is standardized as 0.3048 meter. It is also used by the imperial and US units. The relationship between these two units is:

[tex]1yd=3ft \\ \\ 1ft=1/3yd[/tex]

Answer:

Percentages can be reversed. For example:

600% of 5 is 30. Therefore $30 would be 5% of $600.

Step-by-step explanation:

The answer you are looking for is $30.

To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.

I hope this helps!

Answer:

x = 0.85

2 (1.25) + 3x = 5.05

Step-by-step explanation:

2 (1.25) + 3x = 5.05

2.5 + 3x = 5.05

3x = 2.55

Answer:

-3, -2 1/2, -2 2/5, -2 3/10, -2

Step-by-step explanation:

Answer: from least to greatest =

-2 ; -2 3/10; -2 2/5; - 2 1/2, -3

Step-by-step explanation:

Step 1: Convert fraction to decimal

Step 2: arrange in the order

Step 3: be mindful of the sign (-)

Answer:

A turkey sandwich would cost $6.50 and the salads would be $5.50

Step-by-step explanation:

The cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25.

The cost will be calculated as,

4t + 2s = 25

s = t - 1

Substitute the value of s in the first equation,

4t + 2s = 25

4t + 2(t - 1)= 25

4t + 2t - 2 = 25

6t - 2 = 25

t = $4.5

The cost of salad will be,

S = t - 1

S = 4.5 - 1

S = $3.5

Therefore, the cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.

To know more about an expression follow

https://brainly.com/question/23732086

#SPJ2

Answer:

B) 6 tan(35°)

Step-by-step explanation:

from the right angle tan° = opposite / adjacent

therefore tan (35°) = (x) / 6

by multiplying 6 to both sides

tan (35°)  * 6 = (x) / 6 * 6

therefore (x) = 6 tan (35°)

Answer:

B

Step-by-step explanation:

I did it on usatestprep

Final answer:

To find the limits for the middle 58% of charitable contributions in Pennsylvania, calculate the Z-scores and use them to determine the lower and upper limits.

Explanation:

Given data: Average charitable contribution = $792, Standard deviation = $108

Find middle 58% limits:

Answer:

-4 and +6

Step-by-step explanation:

The signs of 4 and 6 that will get you to a 2 are

[tex] - 4[/tex]

and

[tex] + 6[/tex]

Putting the two together gives

[tex] - 4 + 6 = 6 - 4 = 2[/tex]

This means that, starting from -4 on the number line , move 6 units to the right.

This will land you on 2

Answer:

ion know

Step-by-step explanation:

you figure it out

Answer:

56

Step-by-step explanation:

6 X 8 = 48

7 X 8 = 56

Answer:

56/48

Step-by-step explanation:

you multiply both sides by 8.

Answer:

Sheng

Step-by-step explanation:

Answer: Sheng

Step-by-step explanation:

First, you list the fraction of each of them. I then used the butterfly method to figure out whose fraction was smaller

Answer:

The value of x is 14

The length of each diagonal is 24 units

Step-by-step explanation:

Let us revise the properties of the rectangle

In rectangle TUVW

∵ TV and UW are its diagonals

∴ TV = UW

∵ TV = 2x - 4

∵ UW = x + 10

- Equate them to find x

∴ 2x - 4 = x + 10

- Subtract x from both sides

∴ x - 4 = 10

- Add 4 to both sides

∴ x = 14

The value of x is 14

Substitute the value of x in the expression of TV OR UW to find the length of each diagonal

∵ TV = 2(14) - 4

∴ TV = 28 - 4

∴ TV = 24 units

The length of each diagonal is 24 units

Final answer:

To solve for x, we equate the lengths of TV and UW, since they are opposite sides of a rectangle. Solving the equation yields x = 14. We then find the lengths of TV and UW (both 24 units), and use the Pythagorean theorem to calculate the length of the diagonal, which is approximately 33.94 units.

Explanation:

We are given that TUVW is a rectangle with sides TV and UW. We are also given that the lengths of these sides can be expressed as TV = 2x - 4 and UW = x + 10. Since TUVW is a rectangle, opposite sides are equal in length, so TV equals UW.

Setting the expressions for TV and UW equal to each other gives us:

Solving for x:

Now we can find the lengths of TV and UW:

Therefore, each diagonal of the rectangle is of the same length because diagonals of a rectangle are congruent. We can use the Pythagorean theorem to find the length of the diagonal:

Let d be the length of the diagonal:

The length of each diagonal of the rectangle is approximately 33.94 units.

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

first put them on a common denominator of 20

1/5=4/20

3/4=15/20

then do 15 divided by 4

15/4= 3.75 or 3 3/4

Answer:

The mom is 5 feet 3 inches

Step-by-step explanation:

Step 1:  Make an equation

m = 1 3/4 * 3

Step 2:  Solve

m = (4/4+3/4) * 3

m = 7/4 * 3

m = 21/4

m = 5.25

m = 5 feet 3 inches

Answer:  The mom is 5 feet 3 inches

Answer:

5 and 1/4

Step-by-step explanation:

3 times 1.75 = 5.25

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).

The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.