Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answers

Answer 1

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]

[tex]Sin (53^0) = \dfrac{4}{x}[/tex]

Making x the subject of the formula:

[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]

[tex]x = \dfrac{4}{0.7986}[/tex]

[tex]x \simeq 5[/tex]

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]

[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]

where; x = 5

[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Which Equation Correctly Uses The Value Of X To Represent The Cosine Of Angle A? Cos(53o) = StartFraction
Answer 2

Answer:

simple answer B

Step-by-step explanation:


Related Questions

Branliest! Please I'm beggin you! Help me!!!


The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?

Answers

Answer:

How does she make 14 pound servings with 5 pounds ?

Answer:

4/5

Step-by-step explanation:

cus i said so

The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d​​

Answers

Answer:Example 1:

Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.

S8=1(1−28)1−2=255

Example 2:

Find S10 of the geometric sequence 24,12,6,⋯.

First, find r.  

r=r2r1=1224=12

Now, find the sum:

S10=24(1−(12)10)1−12=306964

Example 3:

Evaluate.

∑n=1103(−2)n−1

(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)

Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023  

In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1.  Then as n increases, rn gets closer and closer to 0.  To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.

Example 4:

Find the sum of the infinite geometric sequence

27,18,12,8,⋯.

First find r:  

r=a2a1=1827=23

Then find the sum:

S=a11−r

S=271−23=81

Example 5:

Find the sum of the infinite geometric sequence

8,12,18,27,⋯ if it exists.

First find r:  

r=a2a1=128=32

Since r=32 is not less than one the series has no sum.

Step-by-step explanation:

Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?

Answers

Answer:

6 jellybean

Step-by-step explanation:

Given that:

Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.

Consider the regular flavored jellybean to be = r;  &

The surprise jelly bean.= s

From the bag, there are 40 jellybeans of which 15% is surprise jellybean.

Therefore the number of expected surprise jellybeans is:

= total number of jellybeans × percentage of surprise jellybean

= 40 × (15 /100)

= 6 jellybean

If  6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean

Who can answer my question in square LMNO find the length of LM

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

In the equation y=2X+7 which
number is the slope?
Slope (m)

Answers

Answer:

2 is the slope

Step-by-step explanation:

the equation is y=mx+b so if it is

y= 2x+7 that means the slope is 2

Answer:

2

Step-by-step explanation:

This equation is in y=mx+b form.

Slope = m

Y-intercept = b

This will give you the slope of 2 :)

What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.

Answers

Answer:

y= -5x/4 + 3

Step-by-step explanation:

To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.

Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].

So y - (-2) = (-5/4)(x - 4) (equation of the line)

y + 2 = -5/4(x - 4)

y + 2 = -5x/4 + 5

y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)

You could also use (8,-7) instead of (4,-2).

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field

Answers

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)

Answers

Answer:

8/3

Step-by-step explanation:

Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.  

how do you graph this
y-2x=0
y=4x+3

Answers

Answer:

Step-by-step explanation:

those are 2 lines, and to graph them find 2 points for each to draw a line trough them

line 1

y-2x=0 so y=2x

pick any value for x

(x=1, y=2*1=2), (x=3, y=2*3=6)

Draw a line trough points (1,2) and (3,6)

line 2

y=4x+3

(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)

Draw a line trough points (1,7) and (-1, -1)

Factor completely 5b^2-11b+6

Answers

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

Y=|x+2|-3 find the axis of symmetry

Answers

the answer is (-2,-3)

how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?​

Answers

Answer:

An example can be 14 + (-14) = 0

Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.

Step-by-step explanation:

Hope this helps!

I need help solving this ! I would appreciate it

Answers

Answer:

-1 > -2

Step-by-step explanation:

-9 ÷ (3(3) > -2

-9 ÷ 9= -1

-1 > -2

this is true

Can someone help me really quick!?

Answers

Answer:

Yes its 2nd, 4th, and 5th

Step-by-step explanation:

At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?

Answers

Answer:

It didn’t go up, it went down 3 degrees

Step-by-step explanation:

It’s negative degrees so the less negative it is the higher it is.

Answer:

it rose by -3C, or went down 3C

Step-by-step explanation:

A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.

Answers

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP

Answers

I think 45 really sorry if I’m wrong

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

5765/574

Step-by-step explanation:

there u go lol

is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?

Answers

Answer:

true

Step-by-step explanation:

Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles​

Answers

Step-by-step explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.

A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.

Answers

Answer:

a) 44[tex]\sqrt{3}[/tex]/3 feet

b) .3 minutes

Step-by-step explanation:

We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by

for b), simply divide a) by 75 ft/min, which is approximately  .3 minutes.

if rst ≅ npq, m∠r = -7x +9, m∠n= -10x, find m∠r and m∠n

Answers

Answer:60

Step-by-step explanation: x=10

-7+9=2*10=20

-10*10=100

180-100-20=60

could someone help please? this is hard

Answers

Step-by-step explanation:

1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2

Answer:

1,2,1, 4, 1

These numbers correspond with the boxes in order from left to right.

Find the diagonal of the box using the Pythagorean Theorem.

Answers

Answer:

26 cm

Step-by-step explanation:

Given:

Length = 24 cm

Width = 8 cm

Height = 6 cm

Required:

Diagonal of the box

SOLUTION:

Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,

a, b and c are the dimensions of the box, and d is the length of the diagonal.

Plug in the value into the formula

[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]

[tex] 676 = d^2 [/tex]

[tex] \sqrt{676} = \sqrt{d^2} [/tex]

[tex] 26 = d [/tex]

Length of diagonal of the box = 26 cm

which statement is true ​

Answers

Answer:

the answer is B that is

ΔABC is similar to ΔEDC

Step-by-step explanation:

look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.

moreover, c is at the last in abc just like in edc

one factor of 8x^3+1 is 2x+1 The other factor is?

Answers

First, write 8x^3 in exponential form (8 is basically the same as 2^3)


So that you have 2^3*x^3+1


Multiply the terms with equal exponents by multiply the bases (1 is basically the same as 1^3)


So that it becomes (2x)^3+1^3



Then, using a^3+b^3 equals (a+b)(a^2-2ab+b^2), factor the expression so that it becomes
(2x+1)((2x)^2-2x+1^2)

Expand the second bracket


So the two factors are (2x+1) and (4x^2-2x+1)

50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?

Answers

Answer:

Southwest

Step-by-step explanation:

Southwest always has good timing.

Answer:

SouthWest airlines

Step-by-step explanation:

It is the best Airlines and will always arrive on time

1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%​

Answers

Martin still has 30% of the problems left to do.

Answer:

D)30%

Step-by-step explanation:

Which equation represents a line with a slope of -2/3

and passes through the point (6,-2)?

Answers

y= -2/3x +2
hope this helped!!
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