Mathematics College

Need help asap trigonometric ratios

Answers

Answer 1

Answer:

Step-by-step explanation:

cotangent = cos / sin

= 4/3

using pythagorean theorem 4^2 + 3^3 = h^2 <===== h = 5

then cos = 4/5 sin = 3/5

then, since csc = 1/sin = 5/3

Related Questions

Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

On a graph, the graph increases, remains constant, and then decreases.

Is the number of gallons of water in the bathtub a function of time?
Yes because each t value is paired with exactly one number of gallons.
Yes because the number of gallons is bounded between y = 0 and y = 36.
No because each number of gallons is paired with more than one t value.
No because from t = 5 to t = 20 the number of gallons of water is constant.

Answers

Answer:

A, Yes because each t value is paired with exactly one number of gallons.

Step-by-step explanation:

Simply perform the vertical line test. On a graph, draw a vertical line, and if the line crosses the graph exactly once, it is a function. See the diagram below. Hope it helps, have a fantastic day.

Answer:

Step-by-step explanation:

because i am built diffrent thats why

a. find the surface area of the rectangular prism

b. find the volume.

a. find the volume of the prism

b. find the surface area of the prism.

Answers

A=24 because 4x6=24 and 24 the fromula is A=bh there trying to trick u with the other number

Answer:

For rectangulasr prism

a. [tex]72cm^3[/tex]

b. [tex]108cm^{3}[/tex]

Step-by-step explanation:

For rectangulasr prism

a. Equation: Volume = length x width x height

length: 6cm

width: 4cm

height: 3cm

Volume = 6cm x 4cm x 3cm

Volume = 24cm x 3cm

b. Equation: A = 2[(width x length) + (height x length) + (heigth x width)]

A = 2[(4cm x 6cm) + (3cm x 6cm) + (3cm x 4cm)]

A = 2[(24cm) + (18cm) + (12cm)]

A = 2[(24cm) + (30cm)]

A = 2[(54cm)]

ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!

This is 8th grade
algebra btw

Answers

Answer:

V = 2143.57

Step-by-step explanation:

To find the volume of a sphere you need to use this formula:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]

r = radius

Solve:

You need the radius from the diameter. Divide 16/2 which is

[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]

V = 2143.57

I believe it will be 2143.57

Please help me slove this i really need the answer

Answers

Answer: 786 m^2

Step-by-Step Explanation:

Length (l) = 10 m
Width (w) = 7 m
Height (h) = 19 m

Surface Area = 2(lw + lh + wh)

Therefore,
=> 2(lw + lh + wh)
= 2(10 * 7 + 10 * 19 + 7 * 19)
= 2(70 + 190 + 133)
= 2(393)
= 2 * 393
=> 786

Surface Area = 786 m^2

simplify the expression
5(m+1) -1 =

Answers

We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1

5m + 4

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

3.) A small city currently has a population of 130,250 people. The population is growing at a
rate of 0.2% each year. Approximately how many more people will live in the city three years from
now?

Answers

Answer:

131,033.

Step-by-step explanation:

The growth factor is 1 + 0.2 %

= 1 + 0.002 = 1.002.

So in 3 years population

= 130,250(1.002)^3

= 131,033

find the length of a diagonal of a square whose side is 2 cm

Answers

Answer:

2√2 cm

Step-by-step explanation:

Formula to be understood :

Diagonal of a square = Side length√2

Deriving the formula :

Apply Pythagorean Theorem by taking the side lengths as altitudes and the diagonal as a hypotenuseside length² + side length² = hypotenuse²2(side length)² = hypotenuse²hypotenuse = side length√2

Solving for the length of the diagonal :

diagonal = 2√2 cm

Side=a=2cm

Length of diagonal

side√2a√22√2cm

This rectangular prism has a length of 14 inches, a height of 8 inches, and a width of 3 inches. What is the volume

Answers

given:

height= 8 in

length= 14 in

width= 3 in

to find:

the volume of the given rectangular prism.

solution:

[tex]v = whl[/tex]

[tex]v = 8 \times 14 \times 3[/tex]

[tex]v = 336 \: {in}^{3} [/tex]

hence, the volume of the given rectangular prism is 336 cubic inches.

answer= option D

Given:l= 14 inchb= 3 inchh= 8 inchNote that:l: length b: breadth h: height To find:The volume of the given rectangular prism/cuboid.Solution:A rectangular prism is a 3D shape with 2 congruent and parallel rectangular bases which is also known as a cuboid.

[tex]\large\boxed{Formula: V= lbh}[/tex]

All the values are given so we'll simply have to solve.

Let's solve!

Substitute the values according to the formula.

We'll have to multiply the length, breadth and the height.

[tex]V= 14 \times 3 \times 8[/tex]

[tex]\large\boxed{V= 336 \: {in}^{3}}[/tex]

We get a whole number to the final answer so we won't have to round off.

Therefore, the volume of the given rectangular prism is 336 cubic inches.

Correct option: Option D

You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $858. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $867. How much money did you invest in each fund?

Answers

The amount that was invested in the first fund is $8300.

The amount that was invested in the second fund is 3700.

What are the linear equations that represent the question?

0.09a + 0.03b = $858 equation 1

0.1a + 0.01b = $867 equation 2

Where:

a = amount invested in the first fund b = amount invested in the second fund How much was invested in the second fund?

Multiply equation 2 by 0.9:

0.09a + 0.009b = 780.30 equation 3

Subtract equation 1 from equation 3

0.021b = 77.70

Divide both sides by 0.021

b = $3700

How much was invested in the first fund?

Substitute for b in equation 1: 0.09a + 0.03(3700) = $858

0.09a + 111 = 858

a = (858 - 111) / 0.09

a = $8300

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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Can someone please help me.

Answers

Answer:

The answer can be seen in the image attached to this message (containing the full steps).

short: 27cm

long: 36cm

hypotenuse: 45cm

Step-by-step explanation:

The image attached to this message contains explained steps.

The temperature outside changed from 82°F to 46°F over a period of six days. If the temperature changed by the same amount
each day, what was the daily temperature change?
A. 36°F
B. -6°F
C. 6°F
D. -36°F

Answers

to find the daily change, let’s first find the total change
46 – 82 = -36 °F

we have 6 days, so divide
-36 / 6 = -36 °F per day

Answer:

B. -6

Step-by-step explanation:

You know immediately that it will be negative, because the temp is going down.

To find the exact answer, start by finding the difference between the two temps

82-46 = 36

since its a six day period, divide 36 by 6

36/6 = 6

so, the answer is -6

You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.

H
o
:
μ
=
63.5

H
a
:
μ
<
63.5

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
62
with mean
M
=
56.3
and a standard deviation of
S
D
=
13.2
.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answers

Using the t-distribution, it is found that the desired measures are given as follows:

The test statistic is t = -4.29.The p-value is of 0.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 63.5, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternative hypotheses, it is tested if the mean is less than 63.5, that is:

[tex]H_1: \mu < 63.5[/tex]

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 56.3, \mu = 63.5, s = 13.2, n = 62[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{56.3 - 63.5}{\frac{13.2}{\sqrt{62}}}[/tex]

t = -4.29.

What is the p-value?

We have a left-tailed test, as we are testing if the mean is less than a value, with 62 - 1 = 61 df and t = -4.29. Hence, using a t-distribution calculator, the p-value is of 0.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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Help find the probability

Answers

Answer:

18. 0.25

19. 0.33

Step-by-step explanation:

Problem 18

Number of oranges = 2Number of fruits = 2 + 6 = 8P (orange) = 2/8 = 1/4P (orange) = 0.25

Problem 19

Number of 1 or 6 faces = 2Total faces = 6P (1 or 6) = 2/6 = 1/3P (1 or 6) = 0.33 (2 DP)

Please help me with this problem

Answers

Answer:

1516

Step-by-step explanation:

hope can help you

2000x 2%=40

9000x 5%= 450

(30000-9000-2000) x 5.4% = 1026

total tas 40+450+1026=

three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?

Answers

Answer:

Let x be the total fund

[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]

3x/5 + 2/3(2x/5) + 8 = x

3x/5 + 4x/15 + 8 = x

9x/15 + 4x/15 + 120/15 = 15x/15

9x+4x+120=15x

-2x= -120

x=60£

ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!

Answers

Answer:

v=2143.57

Step-by-step explanation:

4/3 x 3.14 x 8³

3.14 x 512 x 4/3

3.14 x 512=1607.68

1607.68 x 4/3=2143.57333333

round to nearest hundreth

v=2143.57

Answer:

V ≈ 2143.57= 2144

Step-by-step explanation:

[tex]v=\frac{4}{3} *3.14*8^3[/tex]

=2143.57333333

you dont need to round, so!

=2144 (if you want)

sorry for the confusion

help please I'm confused

Answers

Answer:

Milena level tro bau bola ehh

Answer:

1.3 < x < 6.7

Step-by-step explanation:

The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.

Minimum value : Taking 4.0 to be the 3rd side.

2.7 + x > 4.0x > 1.3

Maximum value : Taking x to be the 3rd side

2.7 + 4.0 > xx < 6.7

Range

1.3 < x < 6.7

Please help me do this mathematics question experts

Answers

[tex]\textbf{(i)}\\\\~~~~~~~y= e^{3x} \sin 2x\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx} \left( e^{3x} \sin 2x \right)\\\\\\~~~~~~~~~~~~=e^{3x} \dfrac{d}{dx} \sin 2x + \sin 2x \dfrac{d}{dx} e^{3x}\\\\\\~~~~~~~~~~~~=2e^{3x} \cos 2x + 3e^{3x}\sin 2x \\\\\\[/tex]

[tex]\textbf{(ii)}\\\\~~~~~~~~y = \dfrac{e^{3x}}{\cos 2x}\\\\\\\implies \dfrac{dy}{dx} = \dfrac d{dx} \left(\dfrac{e^{3x}}{\cos 2x} \right)\\\\\\~~~~~~~~~~~=\dfrac{\cos 2x \dfrac{d}{dx}\left(e^{3x} \right) -e^{3x} \dfrac{d}{dx}( \cos 2x) }{\cos^2 (2x)}\\\\\\~~~~~~~~~~~=\dfrac{3e^{3x} \cos 2x+2e^{3x}\sin2x }{\cos^2(2x)}\\\\\\~~~~~~~~~~~=\dfrac{3e^{3x} \cos 2x}{ \cos^2(2x)} + \dfrac{2e^{3x} \sin 2x}{\cos^2(2x)}\\\\\\~~~~~~~~~~~=3e^{3x}\sec (2x) + 2e^{3x}\sec (2x) \tan (2x)[/tex]

[tex]\textbf{(iii)}\\\\~~~~~~~~~y=( 3x+2)^3\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx}(3x+2)^3\\\\\\~~~~~~~~~~~=3(3x+2)^2 \dfrac{d}{dx} (3x+2)\\\\\\~~~~~~~~~~~=3(3x+2)^2 \cdot 3\\\\\\~~~~~~~~~~~=9(3x+2)^2[/tex]

[tex]\textbf{(iv)}\\\\~~~~~~~~~x^2 +y^2 = 5xy\\\\\\\implies \dfrac{d}{dx}(x^2 +y^2) = 5\dfrac{d}{dx} (xy)\\\\\\\implies 2x + 2y \dfrac{dy}{dx} = 5\left(x \dfrac{dy}{dx} +y\right)\\ \\\\\implies 2x +2y \dfrac{dy}{dx} = 5x \dfrac{dy}{dx} +5y\\\\\\\implies 2y \dfrac{dy}{dx} - 5x \dfrac{dy}{dx} = 5y-2x\\\\\\\implies (2y-5x) \dfrac{dy}{dx} = 5y-2x\\\\\\\implies \dfrac{dy}{dx} = \dfrac{5y-2x}{2y-5x}[/tex]

QUICKKK!! PLEASE
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000.
(a) Explain what this probability means.
(b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain.
(c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood o
this number occurring on the next drawing? Explain

Answers

A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.

What is probability?

The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.

The meaning of the saying that the probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.

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rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]