Given that a= 6 cm and b = 5 cm, work out the area of the triangle.

Answer:

B

Step-by-step explanation:

[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]

[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]

[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]

Answer:

True

Step-by-step explanation:

In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree

Answer:

Step-by-step explanation:

the answer isis truetrue

Answer:x.

Step-by-step explanation:

Answer:

A. 65

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is always 180 degrees. This means that j+k+l = 180. j is equal to l, so I can rewrite this as k+2j = 180. k is 50, so 50+2j is 180, and 2j is 130. This means that j is 65.

Answer:

A. 65°

Step-by-step explanation:

We are given that <J ≅ <L  

We know that all angles in a triangle = 180°

K + J + L = 180

50 + 2J = 180

2J = 130

<J = 65°

I hope this helps!

The amount of oxygen in the flask through the intake tube illustrates proportions

The flask 99.35% will contain of oxygen after 5L have passed through the intake tube

To do this, we make use of the following representations

So. we have the following derivative

dP = dV - P * dV

Divide through by dV

dP/dV  = 1 - P

Next, we set up the integral

[tex]\int\limits^x_{0.040} \frac {1}{1 - P}dP= \int\limits^5_0 {dV}[/tex]

Integrate both sides

[tex]-\ln(|P - 1|)|\limits^x_{0.04} = 5[/tex]

Expand

-ln(|x - 1|) + ln(|0.04 - 1|) = 5

Evaluate the difference

-ln(|x - 1|) + ln(|-0.96|) = 5

Express as a fraction

ln(0.96/|x - 1|) = 5

Express both sides as exponents with a base of 2

e^ln(0.96/|x - 1|) = e^5

Solve for x

x = 1 - 0.96/e^5

Evaluate the difference

x = 0.9935

Express as percentage

x = 99.35%

Hence, the flask 99.35% will contain of oxygen after 5L have passed through the intake tube

Read more about proportions at:

https://brainly.com/question/1781657

Answer:

1/16

Step-by-step explanation:

Place x=0 and you can see [tex]\frac{0}{0}[/tex] indefinitness. So you can apply the l'hosptial rule. Its basic you should

[tex]\lim_{x \to \ 0} \frac{g(x)}{f(x)} = \\[/tex]  [tex]lim_{x \to \ 0} \frac{g'(x)}{f'(x)}[/tex] so apply the derivative

[tex]\frac{\frac{1}{x-4} +\frac{1}{\sqrt[4]{(1-x})^3 } }{2x}[/tex] and replace the x=0 and you'll see same answer [tex]\frac{0}{0}[/tex] re-apply the l'hospital rule and answer

[tex]\frac{\frac{-1}{(x-4)^2} + \frac{3}{16\sqrt[4]{(1-x)^7} } }{2}[/tex] and replace the 0 you can see the answer [tex]\frac{1}{16}[/tex]

Answer:

x ≤ 45

Step-by-step explanation:

x + 35 ≤ 80

  - 35    -35

x ≤ 45

I hope this helps!

Hello!

Let's solve this inequality.

x+35≤80

Subtract 35 from both sides:

x≤80-35

x≤45

It means "less than or equal to"

So all numbers less than or equal to will make this inequality true.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

-7a+11

Step-by-step explanation:

[tex]❖\qquad\qquad\huge\underline{{\sf Answer}} \qquad \normalsize❖[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \cos(x) \times \tan(x) \times \csc(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cancel{ \cos(x) }\times \dfrac{ \cancel{ \sin(x)} }{ \cancel{ \cos(x) }} \times \dfrac{1}{ \cancel{\sin(x)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:1[/tex]

The equivalent value is 1

Answer:

2.4 kg

Step-by-step explanation:

1.5 divided by 5 is 0.3 and 0.3 multiplied by 8 is 2.4

Answer:

32x^7y^15

Step-by-step explanation:

x^2(2xy^3)^5

can be simplified by adding up the x and y values.

Answer:

152 hundred

Step-by-step explanation:

164 hundred - 12 hundred = 152 hundred

Please rate!

Answer:

1.52

Hope this helps :)

Step-by-step explanation:

step one:

put them as decimals which would be 1.64 and 0.12

step two:

subtract which would be 1.64 - 0.12

step three:

solve your answer would be 1.52 or 152 hundredths

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

Explanation:

The distributive property tells you that multiplication distributes over addition. In equation form, it looks like ...

  a(b +c) = ab +ac

__

The parentheses are a grouping symbol. In the above equation, they indicate that the sum (b+c) is to be treated as a group. When it is multiplied by 'a', everything in the group is multiplied by 'a'.

In the real world, there are many ways things are grouped. Baseball cards are packaged together with bubble gum; Cracker Jacks® are packaged together with a prize; left gloves are packaged together with right gloves; a bicycle is a package that has a frame, 2 wheels, a seat, handlebars. If you purchase a number of any of these packages, each of the items in the package is part of your purchase that number of times.

For example, 3 bicycles will have 3 frames, 3×2 = 6 wheels, 3 seats, 3 sets of handlebars. In algebraic form, this might look like ...

  3(f +2w + s + h) = 3f +6w +3s +3h

__

Using the distributive property to eliminate parentheses is like regrouping the contents of the packages so like items are grouped together. In our above example, the 3 frames were grouped together when we considered that part of the group of 3 bicycles. The multiplier multiplies every member of the group.

__

The reverse of the distributive property tells us we can regroup items into sets. It tells us we can take 3 frames, 6 wheels, 3 seats, and 3 handlebars and group them together in a way that makes 3 bicycles, each having a frame, 2 wheels, a seat, and handlebars.

  3f +6w +3s +3h = 3(f +2w + s + h)

Often, we're asked to choose the multiplier to be the greatest common factor (GCF) of the numbers of things in the group. That makes each group as small as possible. The multiplier only needs to be a common factor, not necessarily the greatest common factor.

The cost to buy the flooring for Raul's bedroom is $364.65.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Actual length of the bedroom = 4 x 3.25 = 13 feet

Actual length of the bedroom = 4 x 2.75 = 11 feet

Area = 143 square feet

Cost = 143 x 2.55 = $364.65

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:n^4/3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

21=7+6+neither-5

7+6=13-5=8

21-8=13

Step-by-step explanation:

the area of a rectangle is

length × width

that is in our case

(x + 3) × 4.5 = 4.5x + 4.5 × 3 = 4.5x + 13.5

remember, when multiplying 2 expressions, you multiply every term of one expression by every term of the other expression and then you add all these individual results up by considering the signs, of course.

Jose's rectangle must have equal and parallel opposite sides

The coordinates of the other points could be C(7,5) and D(7,1)

The coordinates are given as;

A = (2,5).

B = (2,1).

To form a rectangle, each of the remaining points must have the same y-coordinates as points A and B.

So, we have:

C = (x,5)

D = (x,1)

Also, the remaining points must have the same x-coordinates.

i.e.

Cx = Dx

From the list of options, we have:

C(7,5) and D(7,1)

Hence, the coordinates of the other points could be C(7,5) and D(7,1)

Read more about rectangles at:

https://brainly.com/question/12500692

Answer:

Angles A and W.

Explanation:

Cosine = Adjacent side/Hypotenuse

Answer:

8

----

125

Step-by-step explanation:

(2/5)³

2      2     2          8

--- x --- x ---  =  ---------

5      5     5         125

I hope this helps!

B for question 12

B for question 13

Step-by-step explanation:

U = Union

n= intercestion

B'= not b

A"= not a

so AnB'

should be B

if 2.50 = 1

2.50x8=

20

1×8 =

8

should be $8

Answer:

XZ is longer than XY

Step-by-step explanation:

First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.

(1, -1) and (-5, -5)

-5- -1 = -4

-5-1 = -6

-4^2+-6^2 = c^2

16+36 = c^2

52 = c^2

7.21110255 = c

So, the length of XZ is 7.21110255 units long

(1, -1) and (8, -2)

8-1 = 7

-2--1 = -1

7^2+-1^2 = c^2

49+1 = c^2

50 = c^2

7.07106781 = c

So, the length of XY is 7.07106781 units long.

XZ is longer than XY

Answer:

134

Step-by-step explanation:

Gabriel has 56 cards and divides them evenly among 8 friends, which means each person has 56/8= 7 cards.

So Marcus has 127 + 7 = 134 cards

Answer:

' =9 93/107 days

Step-by-step explanation:

1/11+1/24

one day =35/264

35/264 -1/32

=107/ 1056- fraction of rem in a day

1 day= 107/1056

x = 1

=107/1056x=1

x=1÷107/1056

1056÷107

=9 93/107 days

Answer:

d = 3

Step-by-step explanation:

According the figure:

Answer Check Below:

⇒ 10 + 3 = 13

⇒ 13 + 3 = 16

⇒ 16 + 3 = 19

Answer:

$3

Step-by-step explanation:

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

[tex]\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}[/tex]

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

[tex]\displaystyle A = Pe^{rt}[/tex]

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

[tex]\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}[/tex]

In conclusion, about $3692.47 should be deposited.