A right triangle has side lengths 9, 40, and 41 as shown below.
B
40
Use these lengths to find cosB, tanB, and sin B.
9

Answers

Answer 1

Answer:

cos B = 9/41

tan B = 40/9

sin B = 40/41

Step-by-step explanation:

There is no picture, so I am making a few assumptions.

I am assuming that angle C is the right angle and is opposite 41.

I am also assuming that angle B is formed by the sides that measure 9 and 41. The hypotenuse is 41.

For angle B, the adjacent leg is 9, and the opposite leg is 40.

cos B = adj/hyp = 9/41

tan B = opp/adj = 40/9

sin B = opp/hyp = 40/41

Answer 2
COS B= 9/41
tan B= 40/9
sin B= 40/41

Related Questions

PLEASE HELP ME WITH THIS!!!!

Answers

Answer:

Triangles A and B

Step-by-step explanation:

Similar triangles have congruent corresponding angles. Triangles a and b both have angle measures of 90°, 23° and 67°. Triangle C has different angle measures therefore it cannot be similar to either triangle A and B.

Similar triangles also have similar side length ratios via corrsesponding sides. This is true for triangles A and B eg. have corresponding side length ratios of 24/12 , 26/13 and 10/5 which all equal 2

So we can conclude triangles A and B are similar

please. im begging can you help me on this ?

Answers

Answer:

I think its B (x-5=13)

Step-by-step explanation:

if its x-5=13

Pedro bought 13 and 5

so 13+5 = 18 (x)

so rearrange the equation to be x-5=13

so imagine x=18 and it would work:

18-5=13

Answer: B. x - 5 = 13

Step-by-step explanation:

     Since Pedro bought the picture frames for his mother, we will see what she does with them. 5 go to her sister and 13 are kept for herself. Let x be the number of picture frames Pedro buys.

        5 + 13 = x

      This is not one of the answer choice, but x - 5 = 13 is. If we subtract 5 from both sides of the equation we created above, this proves to be our answer.

         B. x - 5 = 13

Can some one help me with this ASAP

Answers

4x - 2y = 12

x + 2y = 8

(to cancel 2y, solve by adding)

4x - 2y = 12

+

x + 2y = 8

4x + x = 5x

-2y + 2y = 0

12 + 8 = 20

5x = 20

÷5

x = 4

Substitute x=4 to one of the equation:

x + 2y = 8

4 + 2y =8

-4

2y. = 4

÷2

y. = 2

Check:

4 + (2x2) does give you 8

Hope this helps!

5 - x divided by 3/4 x = 1/3

Answers

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

What is the measure of angle x?

Answers

Answer:

The answer is 47°

Step-by-step explanation:

Total angles in a triangle is 180°

so 31+x+102 = 180

x= 180-133

x=47°

Suppose you want to accumulate $120,000 for your retirement in 30 years.
Consider these two plans:

Plan A: make a single deposit into an account with an annual compounding and an APR of 5%.
Plan B: Make a single deposit into an account with continuous compounding and an APR of 4.8% 

1.) how much do you need to deposit in each amount in order to reach the goal?
2.) calculate the current APR the compounding period, and the claimed APY for your personal savings account. (Or pick a rate from a nearby bank)
3.) calculate the APY on your account (or someone u know)
4.) Does your calculation agree with the APY claimed by the bank?

Answers

The amount that would be needed to be deposited in order to reach the goal is:

Plan A: $27,765.29.Plan B: $28,431.33

Calculations and Parameters:

Since Plan A compounds annually at an apr of 5%.

and plan B compounds continuously at an apr of 4.8%

PART A

Using the formula for annual compounding

[tex]f = p * (1+r)^n[/tex]

Where

f is the future value which is equal to 120,000p is the present value.r is the interest rate per time period.n is the number of time periods.

Because the compounding is done annually, then the APR/100= 0.05

Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.

Putting the values together:

120,000 = p * (1.05)^30.

divide both sides of this formula [tex](1.05)^3^0[/tex] to get:

[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.

PART B

To solve for the PART B answer

the formula for continuous compounding is:

[tex]f = p * e^(r*n)[/tex]

Where

r is the interest rate per time period which is in years.n is the number of time periods which is in years.

The formula becomes:

[tex]120,000 = p * e^(.048 * 30).[/tex]

divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:

[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.

#SPJ1

Read more about compound interest here:

https://brainly.com/question/24274034

2. Choose the graph that shows the solution of the inequality on the number line
c<-1
|||||||||
-6 -4 -2 0 2
|||||||→
-6
-4 -2 0 2
|||→
-6 -4 -2 0 2
++
6
-4 -20

Answers

Answer:

Number line 3 also known as [C]

Step-by-step explanation:

Given that:

c ≤ -1

Knowing that:

≤  = Less than or equal to

Now substitute into the equation:

C less than or equal to -1

Thus, it going left on a number line.

The only number line with left is [A] and [C]

Since ≤  = Less than or equal to -1

then, it including -1

also known as a closed circle means the number is included and an open circle means it is not.

Hence, it closed circle.

Thus, the answer is [C]

Kavinsky

(23/7+61/3)_34/3
what the answer​

Answers

23/7+61/3 is done first due to PEMDAS
so the lcm of 7 and 3 is 21
So 23*3 + 61*7 divide the whole by 21 which is 7*3
The answer will come out to 496/21
Then outside the bracket the whole is times 34/3
So 34/3*496/21=
16864/64
We can’t simplify it more so that’s the answer

Got stuck, need help for solving the measure of arc LP.

Answers

Answer:

-3 degrees

Step-by-step explanation:

13x + 78= 39 degree

-78 -78

(divide both sides by 13)

Determine the unknown side of the similar
triangle.
3 in
4 in
Q
12 in

Answers

Answer:

Q=9

Step-by-step explanation:

if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch

(its a lot of words but i wanted to make sure you understand)

-10x19=2x2 please do explanation

Answers

Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

find the simple interest due on a 270-day loan of $20,000 at an interest rate of 8.875%

Answers

Answer:

first you need to take way 20,000-88.75 =19,911.25 now you need to multiple 19,911.25×270=3,982345.go and see for your self

If a bank offers to double your money in 8 years, what is the effective rate of interest? ​

Answers

Answer:

I think I would be 16 cause if 8 double it is 16

HELE ME PLEASE!

Find the exact volume of the cylinder.
A)
4577 cm3
B)
90 cm3
C)
2257 cm3
D)
9001 cm3

Answers

Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

find the volume of number ten pls i know the answer is 449.57 the figure is to the left

Answers

Answer:

see below  ( I do not think 449.57 m^2 is correct for surface area)

    Surface area = 374.65 m^2     Volume = 448.83 = ~~ 449 m^3  

Step-by-step explanation:

Find the SURFACE AREA    (NOT the volume)

Height of cone =  sqrt ( 13^2 - 4.5^2) = 12.1963 m

  surface area equation for cone = pi * r  * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area =  4 pi r^2   =  254.5 m^2

   HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65  m^2

For VOLUME:    cone   1/3 pi r^2 h = 257.979 m^3

                         HEMIsphere = 1/2  4/3 pi r^3  = 190.851 m^3

                Total VOLUME is then 448.83 m^3

i need a an A pls help

Answers

Answer:

it B

Step-by-step explanation:

B stands for ben

like talking ben?

Answer:

c. 7x-2=19

Step-by-step explanation:

1. add 2 to both sides 7x-2(+2)=19+2

2. divide by 7 on both sides7x/7=21/7

3. x=3

Matt bought 6 pie molds at a cost of $1.22 per mold. He also bought 6 pre-
made crusts at a cost of $0.97 per crust. How much did Matt spend on pie
molds?

Answers

Answer:

$13.14

Step-by-step explanation:

The answer is going to be 13.14 because you have to multiply six molds to the cost of molds and then multiply six crusts to the cost of crust, and then add the two totals together

6] divide -7 by -4/5
whats the answer

Answers

given:

[tex] - 7 \div \frac{ - 4}{5} [/tex]

solution:

[tex] \frac{ - 7}{1} \div \frac{ - 4}{5} [/tex]

[tex] =8.75[/tex]

( just keep the first fraction as it is, change the divide sign to a multiply and flip the second fraction upside down. )

Answer:

35/4 or 8 3/4.

Step-by-step explanation:

-7 / -4/5

Invert the second fraction and multiply:

= -7 * -5/4

=  35/4

= 8 3/4.

How do my child do this

Answers

It wouldn’t change because you would order them all out and one way you get in between 6 and 8 which would give you 7 and if you add 7 that is in the middle by itself

Marina bought a bag of 10 chocolate cookies, 35 vanilla cookies, and 30 peanut butter cookies.

If she selects a cookie from the bag without looking, what is the probability she selects a peanut butter cookie?

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

1) Add all the values.

= 10 + 35 + 30

= 75

2) 75 will be the denominator and the one required will be the numerator.

Since there are 30 peanut butter cookies, the probability is [tex]\frac{30}{75}[/tex].
3) Simplify the fraction if necessary.

Divide both sides by 15.

= [tex]\frac{2}{5}[/tex]

What is the value of the discriminant for the equation 0=2x^2+x-3?

Discriminant = b^2-4ac

A.-25

B.-23

C.25

D.26

Answers

Answer: 25

Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).

                                       D = b² - 4ac

                                   D = 1² - (4)(2)(-3) = 25

Thus, the discriminant of the equation of 25.

Find the equation of the parabola with a focus F (0, 3) and a directrix of y = -5.

Answers

Answer:

y=116⋅x2−1

Step-by-step explanation:

The results of a poll show that between 74% and 82% of consumers prefer Chip A to Chip B. What is the point estimate for the percent of consumers that prefer Chip A to Chip B?

74%

78%

82%

8%

Answers

Answer:

78%

Step-by-step explanation:

First of all, the point estimate is a value located in between the upper confidence limit and the lower confidence limit, it identifies a point in some parameter space.

This question provides us with an interval estimate which is a range of values used to estimate a population parameter.

Interval Estimate = 74% to 82%

74% = Lower confidence limit

82% = Upper confidence limit

Point estimate = middle value

= [tex]\frac{74+82}{2}=\frac{156}{2}[/tex]

= 78%

From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

4.
Which statement best describes the figure shown below?

A The ray appears to be perpendicular to 2 line segments that appear to be
parallel
B The ray appears to be parallel to 2 line segments that appear to be
perpendicular.
C The line segment appears to be perpendicular to 2 lines that appear to be
parallel
D The line segment appears to be parallel to 2 lines that appear to be
perpendicular.

Answers

999999999999999999999999

How to figure out how to do this problem

Answers

The circumference should be 37.68 because area= pi *r^2. So if area=pi*36, then the radius must be 6 which makes the diameter 12 and circumference=pi*diameter and 3.14*12= 37.68. So circumference of the circle is 37.68!

Find the circumference of a circle with diameter,
d
= 11.8cm.
Give your answer rounded to 3 SF.

Answers

Answer:6.8

Step-by-step explanation:

i dont know how to explain.

Find the area of the perimeter and the area of the following figure.

Answers

Area = (11x2)+(5x9) =67
Perimeter = (2+11+7+5+9+16)=50
perimeter = 50cm
area= 67cm squared

PLEASE HELP!! I DON'T UNDERSTAND IT

Answers

Well from the looks i don’t know what X is in this situation, but you should have the sam degrees for both answers. So what ever X is add it to that 30 and the other angle sound be the same degrees as that angle.

Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. ​

Answers

Answer:

The slope of the line would be -3/2.

Step-by-step explanation:

Let's get this equation into the proper slope form:

2x - 3y - 5 = 0

2x - 3y + 3y - 5 = 0 + 3y

2x - 5 = 3y

(1/3)(2x - 5) = 3y * 1/3

2/3x - 5/3 = y

Since the slope is 2/3, we need to find the negative reciprocal of that number, which is -3/2.

Given ↓The equation of the line 2x - 3y -5 = 0

To find ↓The slope of the line perpendicular to this line

Calculations ↓

First of all, we need to add 5 on both sides :

2x-3y=5

Now, subtract 2x on both sides ↓

-3y=5-2x

Or

-3y=-2x+5

Now we need to divide by -3 on both sides to get y all by itself ↓

y=-2/-3+5/-3

[tex]\boxed{\\\begin{minipage}{2cm}y=$\displaystyle\frac{2}{3} x-\frac{5}{3}$ \\ \end{minipage}}[/tex]

Now determining the slope is facile.

If lines are perpendicular to each other, they

Intersect at a 90º angleHave slopes that are opposite reciprocals

In order to find the opposite reciprocal of a fraction, we need to switch the numerator & the denominator places and then change the fraction's sign as follows ↓

(slope = 2/3)

Switch the numerator and denominator places ↓

3/2

Change the fraction's sign ↓

-3/2

Therefore the slope's -3/2

hope helpful ~

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