Which ratios are equal to cos(B)? Choose the TWO ratios that apply.

Which Ratios Are Equal To Cos(B)? Choose The TWO Ratios That Apply.

Answers

Answer 1

Answer:2 and 5

Step-by-step explanation:

Answer 2

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

What are similar triangles?

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

What is cosine angle?

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/25882965

#SPJ2


Related Questions

please help me solve this problem one problem for 15 points

Answers

i didn't get it what is the question

Find the volume of this square
based pyramid.

Answers

Answer:

60

Step-by-step explanation:

I hope this is correct, if it is wrong please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

please answer this !!!
5x + 100​

Answers

x = 16°

Step-by-step explanation:

The sum of angles in a straight line = 180°

Therefore

5x + 100° = 180°

5x = 180° - 100°

5x = 80°

x = 80/5

x = 16°

X would equal sixteen.

Need help with this question

Answers

Answer:

C

Step-by-step explanation:

In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4

Using sohcahtoa, we can establish that

sin(∠C) = opposite/hypotenuse = 14.4/17.5, and

arcsin(14.4/17.5) = ∠C = 55°

Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°

what is the current world record for solving a rubiks cube 3x3

Answers

I’m pretty sure it was like 6 seconds

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale.

Answers

Answer:

Lateral Surface Area = 472 m²

Total Surface Area = 486m²

Step-by-step explanation:

The above prism is a Triangular prism

a) Lateral Surface Area = Perimeter of the Base × H

H = 29m

Perimeter of the Base = (7m + 7.28m + 2m)

= 16.28m

Lateral Surface Area = 16.28m × 29m

= 472.12 m²

Approximately to the nearest whole number = 472 m²

b) Total Surface Area

Triangular prism =

2 Triangles and 3 Rectangles

1st Triangle = 1/2 × base × Height

= 1/2 × 2m × 7m

= 7m²

2nd Triangle = 1/2 × base × height

= 1/2 × 2m × 7m

= 7m²

1st Rectangle = Length × Width

= 29m × 2m = 58m²

2nd Rectangle =

Length × Width

= 29m × 7.28m = 211.12m²

Length × Width

= 29m × 7m = 203m²

Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²

= 486.12m²

Approximately to the nearest whole number = 486 m²

Option A is the correct option

if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32​

Answers

Answer:

SR = 28

Step-by-step explanation:

Recall: The corresponding side lengths of any two similar polygons are proportional.

Since the two polygons given are similar, it implies that:

SR/DC = PQ/AB

SR = ?

DC = 20

PQ = 21

AB = 15

Plug in the values

SR/20 = 21/15

Solve for SR. Cross multiply

SR*15 = 21*20

SR*15 = 420

Divide both sides by 15

SR = 420/15

SR = 28

64, –48, 36, –27, ...


Which formula can be used to describe the sequence?


f(x + 1) = Three-fourthsf(x)

f(x + 1) = Negative three-fourthsf(x)

f(x) = Three-fourthsf(x + 1)

f(x) = Negative three-fourthsf(x + 1)

Answers

Answer:

f(x + 1) = -(3/4)*f(x)

(second option)

Step-by-step explanation:

Here we have the sequence:

64, -48, 36, -27, ...

First, we can notice two things:

Each term has a different sign than the previous term, so the relation is something like:

f(x + 1) = -k*f(x)

Now to find the value of k, we can just replace some of the values (for example, the first and the second one)

-48 = -k*64

48/64 = k

3/4 = k

Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:

36 = -k*(-48)

36 = k*48

36/48 = k

3/4 = k

We got the same value, so we can conclude that k = (3/4)

Then the relation that describes this sequence is:

f(x + 1) = -(3/4)*f(x)

Answer:

a

Step-by-step explanation:

if 1/3 of a number is added to 1/5 of the same number.the result is 8. find the number. I am​

Answers

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

How much carpet would be needed to cover the area in the figure?

Answers

Answer:

28 square yards

Step-by-step explanation:

28 square feet to cover the interior of the house

Question 13 (1 point)
Hans is jumping on a trampoline. His distance from the ground, in metres, in terms of time, is modelled by the
equation () - 1.5 sm(360s)" + 2. What does the 2 in this equation represent?
Solve

Answers

AaaaaaaaaaaaaaaaaaaaaaaaaaAAAAAAAAAAAAAAAAAAA

((HELP ME PLEASEEEE))

For #2-7, decide if the triangles in each pair are similar. If they are similar, state how you know they are similar and then complete the similarity statement. If they are not similar, explain why.

Answers

Answer:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal

3. ΔCBA ~ ΔHGF

4. ΔVUT ~ ΔVML

5. ΔTUV ~ ΔJKL

6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal

Step-by-step explanation:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;

36/43, 16/39, and 16/40

We have;

[tex]\dfrac{36}{43} \neq\dfrac{16}{39}[/tex]

∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal

3. The interior angles of ΔCBA are;

∠A = 33°, ∠B = 88°, and ∠C = 59°

The interior angles of ΔHFG are;

∠H = 33°, ∠F = 59°, and ∠G = 88°

∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate

4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given

The measure of angle ∠MVL = ∠TVU by reflexive property

Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate

5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL

Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate

6. In triangles ΔSTU and ΔSCB, we have;

The ∠TSU = ∠TSU by reflexive property

However, ∠SUT ≠ ∠SNC ≠ ∠STU

Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle

[tex]\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}[/tex]

From which we get;

[tex]\dfrac{SB}{SU} \neq \dfrac{CS}{TS}[/tex]

∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;

[tex]\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}[/tex]

KM = KC + CM = 25 + 107 = 132

[tex]\dfrac{KC}{KM} = \dfrac{25}{132}[/tex]

Therefore;

[tex]\dfrac{KB}{KL} \neq \dfrac{KC}{KM}[/tex]

The ratio of the sides of triangles, ΔKLM and ΔKBC are;

Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal

Can someone please solve this?

Answers

The answer is in the attachment :)

What is the factored form of 8x2 + 12x?

4(4x2 + 8x)
4x(2x + 3)
8x(x + 4)
8x(x2 + 4)

Answers

4x(2x + 3) .......

hope it helps

Answer: b= 4x( 2x + 3)

Step-by-step explanation:

8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.

= 4x( 2x + 3)

i really need help through this weekend question!

Answers

Answer:

bu the substitution property.

help please help ghelp

Answers

Answer:

6,14

Step-by-step explanation:

yeah that is the answer

because if you substitute you get the answer

Answer:

C

Step-by-step explanation:

6=x

14=y

input those 2 values into the equation

A parabola can be represented by the equation x2 = –20y.

What are the coordinates of the focus of the parabola?

(–5,0)
(5,0)
(0,5)
(0,–5)

Answers

Answer:

(0, - 5)

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

if the vertex is at:

(h, k)

Then the focus is at:

(h, k + 1/(4*a))

Here we have the parabola:

x^2 = -20*y

if we isolate y, we get:

y = (-1/20)*x^2

First, we need to find the vertex.

remember that for a general quadratic equation

a*x^2 + b*x + c = 0

the x-value of the vertex is at:

x = -b/2*a

in this case we have b = 0, then our vertex is at x = 0.

If we evaluate the function at x = 0 we get:

y = (-1/20)*0^2 = 0

Then the vertex is at (0, 0)

Thus the focus will be at:

(0, 0 + 1/(4*a))

and we have

a = -1/20

then:

1/(4*a) = -20/4 = 5

Then the focus is:

(0, 0 -5) = (0, - 5)

Answer:

(0,-5)

Step-by-step explanation:

Did the test on Edge

The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?​

Answers

Given:

The weights of dogs in a dog show is normally distributed.

Mean = 58 pounds

Standard deviation = 15

To find:

The probability that the weight of the dogs are between 35.5 and 65.5 pounds.

Solution:

We know that,

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.

We need to find the value of [tex]P(35.5<x<65.5)[/tex].

[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]

Level of significance is 95%.

[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]

[tex]P(35.5<x<65.5)=0.624653[/tex]

[tex]P(35.5<x<65.5)\approx 0.6247[/tex]

Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.

In 1990, the population p of India was about 870.5 million people. By 1995, there were about 960.9 million people. The equation =870.5⋅(1.021)
p
=
870.5

(
1.021
)
t
approximates the number of people, in millions, in terms of the number of years t since 1990.

By what factor does the number of people grow in one year?

Answers

Answer:

18.08 million people increase per year

Step-by-step explanation:

870.5 to 960.9 difference in 5 years.

960.9- 870.5 divided by 5 is your formula

comes to a 18.08 million people increase per year

no agruing this answer

Please help ASAP ! I’ll mark the right answer brainliest ! (People who leave scamming links will be reported )!

Answers

Answer:

3

Step-by-step explanation:

Simply follow the translation rule by adding 5 to the x value and subtracting 4 from the y value

The question is essentially asking us to find the y value after the translation

If 7 was the pre image y value and the rule for y value = is -4 then the new y value = 7 - 4 = 3

yo brainly bolws and 2+2 is 4

Answers

Answer:

chese

Step-by-step explanation:

Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.

Answer:

2+2=4

Step-by-step explanation:

Bro, u serious?

WXYZ is a rhombus. Find the measurements using what you know about the properties of a rhombus.
WZ=4cm

Answers

Answer:

See below.

Step-by-step explanation:

In a rhombus, all sides are congruent.

In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.

XW = 4 cm

WZ = 4 cm

ZY = 4 cm

YX = 4 cm

m<X = 100 deg

m<Z = 100 deg

m<W = 80 deg

m<Y = 80 deg

4.26

[tex]12 \times 0.4 = 4.8 \\ [/tex]

What are the real and imaginary parts of z? Z = 20i+26

Answers

Answer:

Imaginary: 20i

Real: 26

Step-by-step explanation:

Hope this helped.

what is the measure of ABD

Answers

Answer:

39

Step-by-step explanation:

Help me with this pls

Answers

I can’t press the picture

Answer:

Point Form:

(1,−2)

Step-by-step explanation:

Equation Form:

x=1 , y=−2

glad to be of assistance

I need help quick!Please help me!

Answers

Oh shucks, that's crazy man

you're reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance in this example approximately how long will it take to pay off the original deck completely.
A.2yrs
B.5yrs
C.12yrs
D. The debt will never be completely repaid.

Answers

Answer:

The correct answer is D. The debt will never be completely repaid.

Step-by-step explanation:

Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.

Answer:

c. 12 years

Step-by-step explanation:

according to the book, it says it would take 12 years to get it paid off with just the minimum payments

With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?

Answers

Answer:

=7

Step-by-step explanation:

sum of all no÷total no

=1+2+3+4+5+6+7+8+9+10+11+12+13 ÷ 13

=91 ÷ 13

=7

help meeeeeeeee plssss

Answers

Answer:

5.16 m

Step-by-step explanation:

[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]

Marcus' 2018 federal tax payment was $5,350. This payment was ⅕ of his 2018 annual salary. What is his 2018 annual salary?

Answers

Answer:

$26750

Step-by-step explanation:

1/5 * (total salary) = 5350

So, 5*5350 = total salary = 26750

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