the legs of a right triangle measure 5 inches and 7 inches if the theta is the the angle between the 5 inch leg and hypotenuse, cos
theta

Answers

Answer 1

9514 1404 393

Answer:

  cos(θ) = (5√74)/74

Step-by-step explanation:

The length of the hypotenuse is given by the Pythagorean theorem:

  h = √(5² +7²) = √74

The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:

  cos(θ) = 5/√74 = (5√74)/74


Related Questions

10,295 - 3,429 = N
N = ?

Answers

Answer:

The Answer is 6,866

Can anyone help me please thank you if you do

Answers

Hai!

Your answer should be A.

So so sorry if I am Wrong.

Have a good day! :3

A school district currently has 12,000 students. Based on declining enrollment figures, the number of students in the school district is expected to decline by 5% each year. Which of the following functions represents the number of students, S, in the school district after n years?

Answers

Answer:

S(n) = 12,000(–0.05)n

Step-by-step explanation:

The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]

Original population , P  =  12000

Rate of decline, r = 5%

r  =  5/100

r  = 0.05

The number of years = n

The population of students after n years will be given by the formula:

[tex]S =P(1-r)^n[/tex]

Substitute r = 0.05 and P = 12000 into the formula above

[tex]S=12000(1-0.05)^n\\\\S=12000(0.95)^n[/tex]

The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]

Learn more here: https://brainly.com/question/21572834

What is the value of the expression below?

1 3/4 divided by 1/2 minus (1 1/2)^3

Answers

Answer:

1/8

Step-by-step explanation:

Simplify the following:

(1 + 3/4)/(1/2) - (1/2 + 1)^3

Hint: | Write (1 + 3/4)/(1/2) as a single fraction.

Multiply the numerator of (1 + 3/4)/(1/2) by the reciprocal of the denominator. (1 + 3/4)/(1/2) = ((1 + 3/4)×2)/1:

(3/4 + 1) 2 - (1/2 + 1)^3

Hint: | Put the fractions in 1 + 1/2 over a common denominator.

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(1 + 3/4) 2 - (2/2 + 1/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

2/2 + 1/2 = (2 + 1)/2:

(1 + 3/4) 2 - ((2 + 1)/2)^3

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

(1 + 3/4) 2 - (3/2)^3

Hint: | Put the fractions in 1 + 3/4 over a common denominator.

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

4/4 + 3/4 2 - (3/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

4/4 + 3/4 = (4 + 3)/4:

(4 + 3)/4×2 - (3/2)^3

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

7/4×2 - (3/2)^3

Hint: | Express 7/4×2 as a single fraction.

7/4×2 = (7×2)/4:

(7×2)/4 - (3/2)^3

Hint: | In (7×2)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

7/2 - (3/2)^3

Hint: | Simplify (3/2)^3 using the rule (p/q)^n = p^n/q^n.

(3/2)^3 = 3^3/2^3:

7/2 - 3^3/2^3

Hint: | In order to evaluate 3^3 express 3^3 as 3×3^2.

3^3 = 3×3^2:

7/2 - (3×3^2)/2^3

Hint: | In order to evaluate 2^3 express 2^3 as 2×2^2.

2^3 = 2×2^2:

7/2 - (3×3^2)/(2×2^2)

Hint: | Evaluate 2^2.

2^2 = 4:

7/2 - (3×3^2)/(2×4)

Hint: | Evaluate 3^2.

3^2 = 9:

7/2 - (3×9)/(2×4)

Hint: | Multiply 2 and 4 together.

2×4 = 8:

7/2 - (3×9)/8

Hint: | Multiply 3 and 9 together.

3×9 = 27:

7/2 - 27/8

Hint: | Put the fractions in 7/2 - 27/8 over a common denominator.

Put 7/2 - 27/8 over the common denominator 8. 7/2 - 27/8 = (4×7)/8 - 27/8:

(4×7)/8 - 27/8

Hint: | Multiply 4 and 7 together.

4×7 = 28:

28/8 - 27/8

Hint: | Subtract the fractions over a common denominator to a single fraction.

28/8 - 27/8 = (28 - 27)/8:

(28 - 27)/8

Hint: | Subtract 27 from 28.

| 2 | 8

- | 2 | 7

| 0 | 1:

Answer: 1/8

Slope is -2 and (1,4) is on the line, what is the equation in point slope form?

Answers

Answer: y-4=-2(x-1)

Step-by-step explanation: So just use the point slope equation of  y-y^1=m(x-x^1)

what is 5020 divide 110

Answers

Answer:

45.6363636 or 45.6

Step-by-step explanation:

Answer:

answer:it is 45.636

The wrestling team wants to sell pies for a fundraiser. The cafeteria helped out by donating 2 pies. Each pie will be cut into 4 pieces. If the team wants to sell at least 32 pieces, how many pies must the wrestling team bake?

Answers

Answer:

The answer would be 8

Step-by-step explanation:

4x8=32

4 is the pieces of each pie

8 is how many pies

32 is how many pieces they need

help asap due in 5 min.​

Answers

Answer:

3

Step-by-step explanation:

just trust me hehehehhehehehhe

4T = 25 what does T equal
?????????

Answers

Answer:

6.25

Step-by-step explanation:

25=4t

divide 4 on both sides,

6.25=x

Write the equation of the line passing through the points (-3,7) and (-6,9)
in slope-intercept form. *
Your answer

Answers

Answer:

y = -2/3x + 5

find the 75th term of the following arithmetic sequence 3, 7,11,15,...

Answers

Answer:

19

Step-by-step explanation:

10 + 20 = 2(5 + __)

a
11
b
30
c
10
d
7

Answers

Answer:

C=10. They did distributive property. Hope this helped!

Step-by-step explanation:

Hope this helped you out a bit

Philip needs a board 28 inches long to complete a scout project how long is this in feet and inches

Answers

Answer:

2 ft 4 inches

Step-by-step explanation:

12 inches = 1 ft

28/12=2.4

In the expression -5g12 which part is the base?

Answers

-5 is the base of -5g in this expression

h+8g
g=5 and h=4
I am not very quick at these and I need an answer ASAP
please!!

Answers

Answer:

44

Step-by-step explanation:

4+8(5)

Multiply 8 by 5

4+40=44

Add 4 to the product (40) to get the final answer of 44

Remember PEMDAS

HELP!!
Question 4 (1 point)
How likely is it for the spinner to land on a 3?

Impossible
Unlikely
Likely
Certain

Answers

Answer:

likely

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2/3 + 4/5 × 1/2 alguien me puede ayudar porfavor? ._.​

Answers

Answer:

16/15 or 1 1/15

Step-by-step explanation:

convert the fraction 4/11 to a decimal using long division​

Answers

Answer:

Step-by-step explanation:

Answer:

0.36

Step-by-step explanation:

I used the long division method.

Hope this helps:)

A study has shown that the daily amount of milk produced by a dairy cow is
normally distributed, with a mean of 6.2 gallons and a standard deviation of
0.7 gallons. On a given day, 95% of the cows will produce an amount of milk
within which of the following ranges?
A. 5.5 gallons to 6.9 gallons
B. 4.8 gallons to 7.6 gallons
O
C. 4.1 gallons to 8.3 gallons
O D. 3.4 gallons to 9.0 gallons
SUBMIT

Answers

The range of milk production that 95% of the cows will fall within is option B: 4.8 gallons to 7.6 gallons.

To find the range of daily milk production that 95% of the cows will fall within, we can use the empirical rule, which states that for a normal distribution:

About 68% of the observations fall within one standard deviation of the mean.

About 95% of the observations fall within two standard deviations of the mean.

About 99.7% of the observations fall within three standard deviations of the mean.

Since we are looking for the range of milk production that 95% of the cows will fall within, we need to find the range that is within two standard deviations of the mean. That range is:

Mean ± 2SD

= 6.2 ± 20.7

= 6.2 ± 1.4

= [4.8, 7.6]

To learn more about the standard deviation;

brainly.com/question/23907081

#SPJ7

Which of the following functions represents an arithmetic sequence?

1. f(n)=3n^2−4
2.f(n)=3n−4
3.f(n)=3^n−4
4.f(n)=3^n−4^n

Answers

Answer:

Option (2)

Step-by-step explanation:

Explicit formula of an arithmetic sequence is always in the linear form.

A(n) = a + (n - 1)d

Here A(n) = nth term of the sequence

a = first term

n = number of term

d = common difference

Formula doesn't have the terms with the exponent.

Therefore, from the given options, expression that represents an arithmetic sequence will be,

f(n) = 3n - 4

Option (2) will be the correct option.

Find the circumference of each circle. Round to the nearest tenth 4.5

Answers

Where’s the circle ?

The sail of a boat is in the shape of a right triangle, as shown below:

The sail of a boat is a right triangle with an acute angle equal to 40 degrees and the side adjacent to the 40 degrees angle is

Which expression shows the height, in meters, of the sail? (6 points)

Select one:
a. 2 divided by sec 40 degrees
b. 2 cosec 40°
c. 2 sin 40°
d. 2 divided by cot 40 degrees

Answers

Answer:

D

Step-by-step explanation:

Answer: 2 divided by cot 40 degrees

Step-by-step explanation: ima nerd

Find the x- and y-intercepts for the following equation:
y=-3x + 27

Answers

y- intercept: 27
x-intercept: 9

Answer:

x=9

Step-by-step explanation:

to find ×=-intercept/zero substitute y=0 0=-3x+27

move the variable to find the left hand side and change its sign 3x=27

divide both sides of the equation by 3x=9

One rabbit eats 8 carrots every day.

How many carrots does a rabbit eat in 7 days?

Answers

Answer:

56 carrots

Step-by-step explanation:

Because 7 x 8 is 56

I need the equation ​

Answers

Answer:

Are you talking about the corrida nates

Step-by-step explanation:

Jacob has $50,000 in a savings account. The interest rate is 6% per year and is not
compounded. To the nearest cent, how much interest will he earn in 1 year?

Answers

He will earn $3000 in interest in one year. This is because when you find 6 percent of 50000 it is 3000.

y + 5/2 x = 2 as slope intercept form graph show all work

Answers

Answer:Graph y=5-2x. y=5−2x y = 5 - 2 x. Reorder 5 5 and −2x - 2 x . y=−2x+5 y = - 2 x + 5.

I WILL GIVE YOU BRAINLY PLSS


Worth 19 points

Answers

Answer:

Okie since i "answered" you can give him brainly

Step-by-step explanation:

solve for x joe thank you Joe Joe mama​

Answers

The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

Supplementary Angles ⇒ Supplementary Angles are two angles that are formed on a straight line causing them to add up to 180 degrees. Therefore, an expression can be made where the two angles add up to 180 and it can be solved for the unknown.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

[tex]Angle_1 + Angle_2 = 180[/tex][tex](2x) + (4x - 6) = 180[/tex]

Combine like terms

[tex]2x + 4x - 6 = 180[/tex][tex](2x + 4x) - 6 = 180[/tex][tex](6x) - 6 = 180[/tex]

Add 6 to both sides

[tex](6x) - 6 + 6 = 180 + 6[/tex][tex](6x) = 180 + 6[/tex][tex]6x = 186[/tex]

Divide both sides by 6

[tex]\frac{6x}{6} = \frac{186}{6}[/tex][tex]x = \frac{186}{6}[/tex][tex]x = 31[/tex]

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

[tex]\huge\text{Hey there!}[/tex]


[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Please help! help help

Answers

the answer to your question is 54
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