An item is regularly priced at $21. Felipe bought it at a discount of 65% off the regular price. ​

Given:

In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].

To find:

The measure of angle C.

Solution:

Law of Cosines:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]

Substituting the given values, we get

[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]

[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]

[tex]\cos C=\dfrac{0}{2184}[/tex]

[tex]\cos C=0[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}(0)[/tex]

[tex]C=90^\circ[/tex]

Therefore, the measure of angle C is 90 degrees.

Answer:

eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

boy

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Answer:

3x - y = 1

Step-by-step explanation:

The first two options in the question parallel the equation making it no solution and the last option is intersecting the equation which is making it only one solutionn

Therefore our answer is 3x - y = 1

Answer:

T = 55 + 6w and $103

Step-by-step explanation:

We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value

T = 55 + 6w

Solving for T when w = 8 weeks

T = 55 + 6(8)

T= 55 + 48

T = $103

IT IS A DIRECT VARIATION...BECAUSE WHEN X COMPONENT IS INCREASED THEN Y COMPONENT ATE ALSO INCREASING.....

Answer:

I think its B.

Step-by-step explanation:

sorry if i am wrong.

Answer:

[tex]x=opposite\: side\: of \:22[/tex]

[tex]16=hypotenese[/tex]

[tex]sin22=opp/hyp[/tex]

[tex]sin22=\frac{x}{16}[/tex]

[tex]\Longrightarrow x=16\times sin22[/tex]

[tex]x=5.99[/tex]

[tex]x=6.0[/tex]

[tex]OAmalOHopeO[/tex]

Area = [tex] {(9.4)}^{2} [/tex]

[tex] = 88.36 \: {cm}^{2} [/tex]

Therefore, area of square is 88.36 cm².

Answer:

aw no me la seee lo.sientooo no puedooo

Answer:

75°

Step-by-step explanation:

First, we need to know that the interior angle sum of a triangle is always 180°.

Now, to find the missing angle aside from x, we need to complete the sum 180-155=25, seeing 155° lies on a straight line. Remembering the interior angle sum of a triangle is always 180°, it is thus clear that 25+80+x=180. If we complete this equation, x=75.

Hope this helps!

Answer:

Step-by-step explanation:

7

Answer:

56

Expanded=2x2x2x7

Exponential=2^3x7

64

Expanded=2x2x2x2x2x2

Exponential=2^6

Answer:

32

Step-by-step explanation:

Green : black

3             4

We have 24 green

3+8=24

so  multiply each side by 8

Green : black

3*8         4*8

24            32

There are 32 black grapes

Answer:

32

Step-by-step explanation:

By Question :-

Let :-

Therefore,

Answer:

D. <6

E. <4

Step-by-step explanation:

both are exterior angles

∠4 and ∠6 are exterior angles.

Options D and E are the correct answers.

Exterior angles are angles formed by a straight line and a line segment outside of that straight line.

More specifically, an exterior angle is formed when two non-collinear rays originate from a point on one side of a straight line and intersect with the other side of the line.

We have,

From the figure,

∠4 and ∠6 are exterior angles.

∠5 and ∠3 are interior angles.

And,

∠6 is the sum of ∠3 and ∠1.

Thus,

∠4 and ∠6 are exterior angles.

Learn more about exterior angles here:

https://brainly.com/question/28835566

#SPJ7

Answer:

Step-by-step explanation:

The formula of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2.

First off, for the radius to be 8, r^2 must be 64 so only a and c are plausible. Now, the coordinates for the centre is at (h, k). So the first one is the answer.

Answer:

ramp is safe

Step-by-step explanation:

We need to find the slope of the ramp

y/x

20/210

.095238092

This is less than .1 so the ramp is safe

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{x = -4}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x= plus or minus 1 plus imaginary root times square root of 5.

Step-by-step explanation:

[tex] {x}^{2} - 2x + 6 = 0[/tex]

Complete the Square.

[tex] {x}^{2} - 2x = - 6[/tex]

[tex] {x}^{2} - 2x + 1 = - 5[/tex]

[tex](x - 1) {}^{2} = - 5[/tex]

[tex]x = + - 1 + i \sqrt{5} [/tex]

Answer:

100000 times lesser

Step-by-step explanation:

The value of the digit 3 in 45.2638 is 0.003 and the value of the 3 in 356.987 is 300. 300/0.003 = 100000

Answer:

the 3rd won for sure

Step-by-step explanation:

hope I helped

Answer:

C

Step-by-step explanation:

The coordinates are all in (x, y) form.

X is how left or right

y is how tall.

If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.

I hope this helps!

Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+   999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

Answer:

hope it helps plz mark me brainlliest..!!

Step-by-step explanation:

Perimeter of rectangle =2× (Length+breadth)----(1)

Given that ,

Breadth of rectangle = 4 cm.

Perimeter  of rectangle =24 cm.

Let length of rectangle = y cm.

putting the values of perimeter and Breadth in (1)

24=×(y+4)

⇒24=2y+8

⇒2y=24−8

⇒2y=16

⇒y=16/2

⇒y=8.

Therefore, the length of side rectangle is 8 cm.

Hope this helps you out and plz mark me as brain list

Answer:

Step-by-step explanation:

Hello!

L*l

breadth of the rectangle is 4cm,

2 breadth = 4*2 => 8 cm

24-8 = 16

L= 16/2 = 8

area:8*4 => 32 cm²

Answer:

D) [tex]-\sqrt[3]{x-1}[/tex]

Step-by-step explanation:

-the function is the cube root

-the cube root of zero is zero

- the graph is at 0 when x = 1, thus "x-1" must be part of answer

- the cube root of -8 is -2, at -8 the graph is +2. so the function is negated

[tex]-\sqrt[3]{x-1}[/tex]

Answer: [tex]3 hr and 27 min[/tex]

Step-by-step explanation:

Given

Frank practiced piano for [tex]2\frac{1}{3}\ \text{hours}[/tex] yesterday and [tex]1\frac{1}{8}\ \text{hours}[/tex]

In total frank practiced

[tex]\Rightarrow 2\dfrac{1}{3}+1\dfrac{1}{8}\\\\\Rightarrow \dfrac{7}{3}+\dfrac{9}{8}\\\\\Rightarrow \dfrac{7\times 8}{3\times 8}+\dfrac{9\times 3}{8\times 3}\\\\\Rightarrow \dfrac{56+27}{24}=\dfrac{83}{24}\ \text{hours}\\\Rightarrow \dfrac{83}{24}\ \text{hours}\ or\ 3\ \text{hours and 27 min 30s}[/tex]

Answer:

(36,25)

Step-by-step explanation:

We want to find where the two lines intersect

We know the x value is about 1/2 way between 30 and 40 and the y value is close to 25

The closest value is (36,25)

Step-by-step explanation:      I GOT YOU

The point at which the prices are the same would be at (36, 25)

I know this to be true because that's when the lines touch each other (intersect) on the graph. After 36 minutes go by the cost is 25 dollars for both lines. Also the sides have names, cost on the left, and time on the bottom. And the lines stand for the store prices over time. In summary, just look at the number on the side and bottom and see where the lines intersect.

Answer:

(A)

x= 5y-3

(x+3)/5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i took the test lol

Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

Answer:

B only

Step-by-step explanation:

well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0

and to figure "a " we can consider the following equation:

[tex] \displaystyle x - a = 0[/tex]

substitute the given value of a:

[tex] \displaystyle x - 2= 0[/tex]

therefore,

[tex] \displaystyle x = 2[/tex]

plugin the value of x to the function A(x):

[tex] \displaystyle A(2) = {2}^{3} + {2}^{2} + 4[/tex]

simplify which yields:

[tex] \displaystyle A(2) = 16[/tex]

since A(2)≠0 x-2 is not a factor of A(x)

similarly substitute the value of x to the function B(x) which yields:

[tex] \displaystyle B(2) = {2}^{3} - {2}^{} - 6[/tex]

simplify:

[tex] \displaystyle B(2) =0[/tex]

so, B(2)=0 Hence x-2 is a factor of x³-x-6

substitute the value of x to the function C(x)

[tex] \displaystyle C(2) = {2}^{4} + 3.{2}^{} - 10[/tex]

simplify:

[tex] \displaystyle C(2) =12[/tex]

as C(2)≠0 x-2 is not a factor of C(x)

likewise plugin the value of x to the function D(x):

[tex] \displaystyle D(2) = {2}^{4} - 2.{2}^{3} - 2[/tex]

simplify and that yields:

[tex] \displaystyle D(2) = - 2[/tex]

therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

The factor

we have find the value of x .

Now,

we have to select all the polynomial which has x-2 As a factor.

According to the question,

[tex]A(x)=x^3+x^2+4\\\\A(2)=(2)^3+(2)^2+4\\\\=8+4+4\\\\16≠0[/tex]

[tex]B(x)=x^3-x-6\\\\=B(2)=(2)^2-2-6\\\\0=0[/tex]

[tex]C(x)=x^4+3x-10\\\\=C(2)=(2)^4+3(2)-10\\\\=16+6-10\\\\12≠0[/tex]

[tex]D(x)=x^4-2x^3-2\\\\D(2)=(2)^4-2(2)^3-2\\\\=16-16-2\\\\-2≠0[/tex]

The option B is correct.