50 points! please help!.​

50 Points! Please Help!.

Answers

Answer 1

Answer:

Solution given:

Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]

[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]

equating corresponding value

opposite=-24

hypoyenuse=25

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

25²=(-24)²+x²

625=576+x²

x²=625-576

x=49

x=[tex]\sqrt{49}=7[/tex]

In IV quadrant

Cos angle is positive

Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]

Cos[tex]\theta_{1}=\frac{7}{25}[/tex]
Answer 2

Answer:

cos theta = 7/25

Step-by-step explanation:

sin theta = opp / hyp

We can find the adj side by using the pythagorean theorem

adj ^2 + opp ^2 = hyp^2

adj^2 + (-24)^2 = 25^2

adj^2 +576 = 625

adj^2 =625 -576

adj^2 = 49

Taking the square root of each side

adj = 7

Since we are in the 4th quadrant, adj is positive

cos theta = adj / hyp

cos theta = 7/25

50 Points! Please Help!.

Related Questions

The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?

Answers

Answer:

y = 4x -2

Step-by-step explanation:

y = 4x + b

6 = 4(2) + b

6 = 8 + b

-2 = b


The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?

Answers

Answer:

Step-by-step explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64           {Add like terms}

2 * 8x = 64                                

  16x = 64        {Divide both sides by 16}

      x = 64/16

      x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units

Answer:

Step-by-step explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or,    64=2(3x +5x)

or,     64=2(8x)

or,     64=16x

or,      x=4

therefore length=3x

                      3*4=12

                 width=5x

                     5*4=20

Find the value of x for the right triangle.

Answers

Answer:

x = 3

Step-by-step explanation:

take 60 degree as reference angle and using cos rule

cos 60 = adjacent/hypotenuse

1/2 = x/6

do cross multiplication

2*x = 6*1

x = 6/2

x = 3

A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice

Answers

Answer:

80/243

or

.329218107

Step-by-step explanation:

This is a binomial distribtuion

THe probability of red= 1/3

the probability of not red= 2/3

Probability of getting exactly 2 reds in 5 spins

[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]

or

80/243

HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW

Answers

Answer:

your correct

Step-by-step explanation:

Answer:

I think the one you have answered is correct.

The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure

Answers

Answer:

Tue area of the new figure is 28ft

Step-by-step explanation:

Each side 20/4=5

The length 5+2=7

The width 5-1=4

The area 7x4=28

At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?

Answers

Answer:

$5200

Step-by-step explanation:

Given :

Amount invested, Principal, P = $5000

Interest rate, r = 4% = 4/100 = 0.04

Amount in account at the end of the year, A

period, t = 1 year

Using the relation :

A = P(1 + rt)

A = $5000(1 + 0.04*1)

A = $5000(1 + 0.04)

A = $5000 * 1.04

Amount in account at year end = $5200

Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7

Answers

Answer:

B

Step-by-step explanation:

f(x) = x²+49 , rewrite the equation

x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides

x² = -7², square root both sides

√x² =√-7², consider √-1 =i

x= ±7i

the roots are -7i and 7i

Answer:

B

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

x² + 49 = 0 ( subtract 49 from both sides )

x² = - 49 ( take the square root of both sides )

x = ± [tex]\sqrt{-49}[/tex] = ± 7i

Solutions are x = - 7i, x = 7i

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Answers

Answer:

85

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

For which interval is the average rate of change of f(x) negative?

Answers

Option C. It’s where it’s decreasing over the entire interval.

i need help
measure of each labeled angle

Answers

Answer:

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

Step-by-step explanation:

A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,

[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]

Substitute the given values ,

[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]

Simplify the RHS by adding the variables ,

[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]

Add 20° to both sides ,

[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]

Add the numbers in RHS ,

[tex]\sf\longrightarrow 5x = 200^o [/tex]

Divide both sides by 5 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]

Therefore ,

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

Which choice is equivalent to the quotient below square root 32/ square root 8

Answers

Answer:

there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]

The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

What is the square root of any number?

The square root of any number is equal to a number, which when squared gives the original number.

What is an equivalent expression?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

According to the given question.

We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]

Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by

[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]

⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]

Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

Learn more about equivalent fraction here:

https://brainly.com/question/17912

#SPJ2

Find the surface area and volume for each of the following:

Answers

9.5cm
9.5cm is the answer

Answer:

mark brainlist..............

Solve system by elimination -9x - y =-19
5x + y = 15

Answers

Answer:

(1, 10 )

Step-by-step explanation:

Given the 2 equations

- 9x - y = - 19 → (1)

5x + y = 15 → (2)

Adding the 2 equations term by term will eliminate the y- term

- 4x + 0 = - 4

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + y = 15

5 + y = 15 ( subtract 5 from both sides )

y = 10

solution is (1, 10 )

Ricardo llega cada mañana a su trbajo con 5 minutos de retraso. Cúanto dinero le descuentan al cabo de 30 dIas si por cada hora tiene una multa de s/2,80

Answers

Respuesta:

7

Explicación paso a paso:

Dado :

Último minuto por día = 5 minutos

Número de retrasos = 3 días

Número total de minutos tarde = (30 * 5) = 150 minutos

Cargo por multa por pago tardío por hora = 2,80

Total de horas tardías = 150 minutos / 60 = 2,5 horas

Cargo total por multa por mora = 2.80 * 2.5

Cargo total por multa por mora = 7

Please help me!! I don’t underatsnd

Answers

Answer:

23°

Step-by-step explanation:

13x + 154 = 180

13x = 26

x =2

~~~~~~~~~~~~

6(2) + 11

12+11 =23

Answer: 23 degrees
QPS being a “straight angle” means its 180 degrees so: add the two equations and set it equal to 180: 13x+154=180 and x=2
Plug x into the equation 6x+11 which equals
23 degrees

3 to the power 10=
Pls answer fast

Answers

The answer is 59049.

Kuaaahahahahahahahah!

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and
determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3

Answers

Answer:

Table (C)

Step-by-step explanation:

Given equation of the parabola is,

f(x) = 9x² + 5x + 3

By comparing this equation with,

f(x) = ax² + bx + c

a = 9, b = 5 and c = 3

Since, leading coefficient (a) of the function is positive,

Parabola will open upwards.

For y-intercept,

Substitute x = 0 in the equation,

f(0) = 9(0)² + 5(0) + 3

f(0) = 3

Therefore, y-intercept is (0, 3).

Table (C) is the answer.

(x-1)(x-2)(x-3)(x-4)(x-5)=0

Answers

Answer:

x=1, x=2, x=3, x=4, x=5

Step-by-step explanation:

set each expression in the parenthesis equal to 0 to solve for the roots

3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.

Answers

Answer:

74 mph

Step-by-step explanation:

The driver started driving at s mph.

After 3 hours, the speed became s + 10 mph.

The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.

speed = distance/time

distance = speed * time

distance = (distance driven at speed s) + (distance driven at speed s + 10)

894 = s * 3 + (s + 10) * 8

3s + 8s + 80 = 894

11s + 80 = 894

11s = 814

s = 74

Answer: 74 mph

Does anyone know the answer to this math question?

Answers

Answer:

sorry i don,t know but i am finding

if i get then i hep you

Step-by-step explanation:

thanks and have nice day

Can someone help me with this math homework please!

Answers

Answer:

Last answer.

Step-by-step explanation:

What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.

Find the volume. Leave answer in exact form (in terms of π) ​

Answers

Answer:

704π

Step-by-step explanation:

V = π×r²×h

= π×8²×11

= 704π yd³

Can someone help me with this task please? !!

Answers

Answer:

69

Step-by-step explanation:

Answer:

1: (B)

2: (C)

3: (D)

4: (D)

5: (A)

Step-by-step explanation:

Question 1:

Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.

Question 2:

The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.

Question 3:

From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.

Question 4:

It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.

Question 5:

The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.

Hope this helps (●'◡'●)

Classify the following triangle. Check all that apply.

Answers

D & E

See the photo for further reference on triangle classification.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"

Answers

Answer:

Read below.

Step-by-step explanation:

The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.

A proportion is setting two ratios equal.

If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.

For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.

By the order of the letters in ABC and XYZ, you can conclude that

side AB corresponds to side XY

side AC corresponds to side XZ

side BC corresponds to side YZ

Since the lengths of corresponding sides are in the same ratio, so you can further conclude that

the length of AB is to the length of XY as

the length of AC is to the length of XZ as

the length of BC is to the length of YZ

Mathematically, you can write the previous three lines as the proportion

AB/XY = AC/XZ = BC/YZ

if x = 2 is a solution to the system shown below, then what must be value of b?

y = 7x + 4
y = 3x + b

——————————————-

(1) 5

(2) -4

(3) -17

(4) 12

thank you in advance for anyone that helps answer this :))

Answers

12 so we would multiply 2 by whatever is next to X. So 14+4=18 and 6+b=18 so we just subtract 18-6 and we get 12 :)

Answer:

(4). 12

Step-by-step explanation:

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5

Answers

Answer:

c

Step-by-step explanation:

it just is

Amanda has six more than four times the number of crayons that Clyde has. (write the equation)​

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

Clyde has x crayons.

Amanda has y crayons.

The equation:

y = 4x + 6

SOMEONE PLEASE HELP ME!

Answers

FH = HG =GF
—— —— ——
IK JK IJ

8 =HG =3.2
—. —— ——
32 JK IJ

or, 2 3.2
—— = ——
8 IJ

or,2IJ=3.2*8

or,IJ=25.6
———-
2
.•.IJ=12.8
Hope this might help you
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