In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?

In Right Triangle ABC, A Is A Right Angle And SinC=15/17. What Is The Ratio Cos C?

Answers

Answer 1

Answer:

8/17

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17


Related Questions

Given: Lines y and z are parallel, and ABC forms a triangle.
Prove: m25 + m_2 + m26 = 180°
M

Answers

Answer: Brainliess plsssssss

The answer in this question is Alternate interior angles are congruent.

Step-by-step explanation:

Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.

Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D

Answers

Answer:

Option C is the correct answer

[tex] {x}^{2} + 2x - 4[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]

Answer:

Step-by-step explanation:

Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

the smallest r is the 4r and the biggest r is the r^2

VERTEX (-2,-64)

Step-by-step explanation:

Answer:

smaller r = -10

larger r = 6

The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Step-by-step explanation:

We have the function [tex]f(r)=r^2+4x-60[/tex]

In order to factor this quadratic equation, we need to look for two numbers that will

Add together to get 4

Multiply together to get -60

Lets look for the numbers that multiply to give us -60.

-1 and 60

1 and -60

2 and -30

-2 and 30

3 and -20

-3 and 20

4 and -15

-4 and 15

5 and -12

-5 and 12

6 and -10

-6 and 10

Now, we just need to determine which of these numbers will add together to get us 4.

Those two numbers would be -6 and 10.

This means that our factored form of this equation will be

[tex]f(r)=(r-6)(r+10)[/tex]

From this, we can find our roots, which are the solutions to the equation when it is equal to 0.

[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]

These are our r values.

The vertex of a parabola will always be directly between the two roots.

The number that is between -10 and 6 is [tex]r=-2[/tex]

To find the y-value of the coordinate pair, we just need to plug -2 into our function.

[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]

This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Krishne wants to measure the mass and volume of a key. Which tools should she use?

Answers

Answer:

a balance and a beaker of water

hope it helps mark as brainliest

Answer:

water and beaker, and other science tools

Step-by-step explanation:


Which graph represents the function f(x) = 1/x+3
-2

Answers

Answer:

Step-by-step explanation:

To eliminate ambiguity please use parentheses when typing a function like this one.  I'm going to assume that you meant

f(x) = 1 / (x + 3)     -      2

Start with the graph of y = 1/x.  Its vertical asymptote is the line x = 0.  The graph never touches the x-axis.  

Translating the entire graph 3 units to the left will give you the function

h(x) = 1 / (x + 3).

Translating the above graph 2 units down will give you the desired function g(x) = 1 / (x + 3) - 2.

Answer:

Graph B on Edge2022.

Have a great day.

Which expression is equivalent to 100 n^2 -1?

a) (10n)^2 -(1)^2

b) (10n^2)^2 -(1)^2

c) (50n)^2 -(1)^2

d) (50n^2)^2 -(1)^2

Answers

Answer:

a

Step-by-step explanation:

100n^2 = (10n^2)

-1 = -(1^2)

Answer:

So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.

Answer : A

Which of the following represents a function?

Answers

Answer: C, a set of coords is only a function if it passes the vertical line test

Step-by-step explanation:

This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test

B easily fails the test just by visually looking at it. It fails the line test

C has different x values so this looks promising. It passes the line test

D has the number 5 correlating with multiple y values. It fails the line test

Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)

Answers

Answer:

B

Step-by-step explanation:

A function cannot have more than one point on the same x coordinate. So, B is the only option that works.

Please answer this correctly

Answers

Answer:

4 days

Step-by-step explanation:

there are 8 pints in a gallon

Answer:

4 days.

please see the attached picture for full solution solution.

hope it helps

good luck on your assignment

0.3y-0.3=0.4-0.4y
A=7
B=-1
C=-7
D=1

Answers

Answer: The answer is D: 1 (Vote me brainliest)

Answer:

y=1

Step-by-step explanation:

0.3y-0.3=0.4-0.4y

+0.4y

0.7y-0.3=0.4

               +0.3

0.7y=0.7

        -----

        0.7

y=1

Subtract 4x4 + 2x2 +5 from the sum of 2x4 – 4x² – 3 and 3x4 – 3x2 +9.

Answers

Answer:

10

Step-by-step explanation:

which expression is equivalent to y^4 -100?

Answers

Answer:

Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).

Answer:

(y² + 10)(y² - 10)

Step-by-step explanation:

y^2=y^4

Which equation represents the graphed function? A)-3x+2=y B)-2/3x+2=y C)3/2x-3=y D) 2x-3=y

Answers

Answer:

C) 3/2x-3=y

Step-by-step explanation:

-3 because that is the Y-intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.

The equation of given graph is y = [tex]\frac{-3}{2} x - 3[/tex]

Concept:The general equation of straight line is y = m x + x, where
m = slope of line and c =  y intercept

How to solve the given question?Here, the slope of line , [tex]m = \frac{-3 - 0}{2-0} = \frac{-3}{2}[/tex]Y intercept, c = -3∴ the equation of the graphed line, y = [tex]\frac{-3}{2} x - 3[/tex]

Learn more about line here:

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2y + 4(y + 1) = blank y + blank

Answers

[tex]2y + 4(y + 1)[/tex]

Expand the brackets.

[tex]2y + 4y + 4[/tex]

Add the like terms.

[tex]6y + 4[/tex]

6y+4

Answer:

  6   y +    4  

Step-by-step explanation:

=> 2y+4(y+1)

=> 2y+4y+4

=> 6y+4

Use the quadratic formula to find the solution to the quadratic equation below pt2

Answers

Answer:

x=3/2

Step-by-step explanation:

There is only one solution.

Answer: x=3/2

Step-by-step explanation:

help me agian (**) plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

130%

Step-by-step explanation:

1.3=

130/100=

130%

Hope this helps!

Answer:

130%

Step-by-step explanation:

To express a decimal as a percent, you need to multiply it by 100.

1.3×100=

130

1.3 as a percent is 130%

what is x2 + y2 + 4x - 14y + 37 = in standard form

Answers

Steps:

Since there are no like terms. We have to convert the number that is  x2 + y2 + 4x - 14y + 37  into standard form. The correct answer will be NaN X 10°

So that is in a standard form.

Answer: NaN X 10

Please mark brainliest

Hope this helps.

Factor the expression below x^2+12+36 A) (x-6)(x-6) B) (x+6)(x+6) C) (x-9)(x-4) D) (x+9)(x+4)

Answers

Answer:

Answer B

Step-by-step explanation:

when you simplify it u get x^2+12+36

Evaluate the expression for
m = -3.

-4 |5+m |

Answers

Answer: the correct answer is -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

What is the first step in evaluating an expression?

The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.

What is an example of evaluating expressions?

A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Learn more about Evaluate the expression here:  https://brainly.com/question/4541471

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Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that university. Alexandra's SAT score was 40 points above the average score. Austin's SAT score was 330 points below the average score. Which expression represents the difference in their scores?

Answers

Answer:

x= (y+40)-(y-330)

Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

Please help me with my question!!

Answers

Y= 450 only becuase if not it will work

Answer:

Step-by-step explanation:

y = 10x + 50

x ---> no of weeks

y - intercept = 50

Find the missing exponet

Answers

The answer to this question is 48828125 I think. It should be right

Help me plsssss. Exterior angles definitions

Answers

Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?

Answers

Answer: The correct answer for this question is $6.55

Step-by-step explanation:

Hope this helps

Answer:

28.75

Step-by-step explanation:

A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll

Answers

Answer:

1/6

Step-by-step explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

              =2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

                          =3/6 =1/2

P( outcome, 1or 2, odd)  = P( outcome) *P(1 or 2) *P( odd number)

                                       = 1* 1/3 * 1/2

                                       = 1/6

123
12
a
d
3
and which term are like terms?

Answers

Answer:

3ad3 will be the answer

Step-by-step explanation:

Answer:

3ad3

Step-by-step explanation:

Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base .

Answers

Answer:

Given: An Isosceles Triangle ABC with a vertex at B.

Midpoint M of the base AC.

To Prove: BM is perpendicular to AC.  

Proof:

Let the coordinates of the points of the isosceles triangle be given as:

A =  (-k, 0)

Vertex, B =  (0,a)  

C = (k, 0)

Midpoint, M = (0,0)

Slope of the base segment, AC:

[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]

Slope of the base segment,  AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]

Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.

[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]

[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex]  = Undefined

Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.

Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.

This concludes the proof.

Reflect triangle A in the line y=x
please can you just state all the coordinates to make up the triangle

Answers

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

can anybody help me on this please I will be giving 15 points..

Answers

Answer:

BC=[tex]\sqrt{95}[/tex]

Angle A (or BAC)=54.31466...

Angle C (or ACB)=35.68533...

Step-by-step explanation:

[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]

[tex]BC=\sqrt{12^2-7^2}[/tex]

[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]

[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]

[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]

Using the pythagorean theorem

[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]

[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]

[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]

!!Will mark Brainliest!! The points in the table lie on a line. What is the slope of the line?

Answers

Answer:

-7/6

Step-by-step explanation:

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