10
X
5T Q15 Finding side lengths in a compound shape
Calculate the length of x. Give your answer correct to 3 significant figures.
Tools
11
Calculate the value of x. Give your answer to 3 significant
figures
BC = 5 * tan
50
12
5 cm
BC =
to 3 s.f.
13
B
с
x tan 38
38°
Show your working A
X=
cm to 3 s.f.
14
* cm
15
16
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10X5T Q15 Finding Side Lengths In A Compound ShapeCalculate The Length Of X. Give Your Answer Correct

Answers

Answer 1

Answer/Step-by-step explanation:

✔️Find BC:

Reference angle = 50°

Opposite = BC

Adjacent = 5 cm

Based on trigonometric ratio, thus:

Tan 50 = BC/5

Multiply both sides by 5

BC = 5 × tan 50

BC = 5.96 cm (to 3 s.f)

✔️Find x:

Reference angle = 38°

Opp = x

Adj = BC = 5.96 cm

Based in trigonometric ratio, thus:

Tan 38 = x/5.96

Multiply both sides by 5.96

x = 5.96 × tan 38

X = 4.66 (3 s.f)


Related Questions

solve for x...................................................................................

Answers

Answer:

x = 36°

Step-by-step explanation:

x + 20° + 4x = 200° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

5x = 200° - 20°

5x = 180°

x = 180° / 5

x = 36°

Hope it will help :)

Solve please I don’t know how to do this.

Answers

Answer:

its 63 lol

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

x/3-10=11

x/3=21

crisscross then

x=21×3

c=63

3(-4+4)+5n=2n what are the steps for finding n

Answers

Answer:

1. Move the variables to one side: 3(-4+4) = -3n

2. Distribute. You will end up with 0 = -3n

3. Divide both sides by -3. n = 0

Step-by-step explanation:

Answer:

n=0

Step-by-step explanation:

3(-4+4)+5n=2n

first distribute

-12+12+5n=2n

combine like terms

5n=2n

subtract 2n on both sides

3n=0

divide by 3 on both sides

n=0/3

which is also equal to

n=0

Consider the line x-2y=-1 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Answers

Answer:

slope of line that is parallel is 1/2

slope of line that is perpendicular is -2

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have slopes that are opposite and reciprocal

x - 2y = -1

-2y = -x -1

y = 1/2x + 1/2

the coefficient of the 'x' term represents the slope

What’s the answer for this one??

Answers

Answer:

It is the second one.

Step-by-step explanation:

a and e are equal because they are mirrored. d and b are equal because they are on the same  line and at the same point where the parallel lines go through. b and f are also mirrored. That leaves c and e which don't match.

The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edges of the box touching the inside of the cylinder. if the box of pasta fits 8 cups of rice, estimate how many cups of rice will fit inside the cylinder. Expalin or show your reasoing

Answers

Answer:

The answer is below

Step-by-step explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.

determine the slope and y-intercept from following the equation: y= 3/2x + 3

Answers

Answer:

Slope is 3/2 and y-intercept is +3

Step-by-step explanation:

slope = m

y intercept = b

Slope is 3/2 and y-intercept is +3

In addition to his base salary, Ron earns a commission. Last week he sold $14000 worth of clothing and brought home an extra $840 in commission. What is his rate of commission? If his base salary is $500, how much money did he earn last week?

Answers

Answer:

His rate is

[tex].0243[/tex]

The money he earned last week is 340

Find the slope of the line

Answers

Answer:

negitive 4 2 to positive 42 i think

Step-by-step explanation:

Answer:

3/1, or 3

Step-by-step explanation:

Forgive me if this is wrong, the image is very blurry and hard to see

What is 5 / 1? Explain.

(Just trying to give away easy points haha)

Answers

Answer:

5/1 = 5

Step-by-step explanation:

because 5/1 equals 5.

$325 is borrowed from a bank that charges 4% interest compounded annually. How much is owed after 1 year, 3
years, 7 years, and 20 years?

Answers

Answer:

338

365.58

427.68

712.12

Step-by-step explanation:

for annually compounding interest

PV(1+i)^n

for one year

325(1.04)

338

for 3 years

325(1.04)^3

365.58

For 7 years

325(1.04)^7

427.68

for 20 years

325(1.04)^20

712.12

Please help! 15 points! need ASAP
Multiple choice, solve for y using the addition method

5x + y = 6

5x + 3y = -4

-1
1/2
1
-5

Answers

Answer:

-5

Step-by-step explanation:

Please help me solve this and the first person to answer gets liked and also gets 5 stars.
(THE ANSWER MUST BE CORRECT)

Answers

Answer: p=31

Step-by-step explanation:

(x^13)(x^6)^3=

(x^13)x^18=

x^31

Which expression is the result of factoring the expression below by taking out its greatest common factor?
8x2 – 24 = ?

Answers

Answer:

Step-by-step explanation:

You need to give us the choices. However, I will try and give you the answer.

The highest common factor is 8

8(x^2 - 3)     This is the answer I think the question expects.

8(x - √3 )(x + √3)  this is also possible

-4 (2y + 4)= 48 help plz

Answers

Answer:

y=-8

Step-by-step explanation:

-8y-16=48

    +16+16

-8y=64

y=-8

Answer:

y=-8

Step-by-step explanation:

-4(2y+4)=48

2y+4=-12

y+2=-6

y=-8

-4(2(-8)+4)=48

48=48

yeyey! Happy Friday!!!
Help please I'll give brainliest '^'

Answers

Answer:

75%

Step-by-step explanation:

Happy Friday!

Answer:

C

Step-by-step explanation:

75% is 3/4 of the circle. Pretend you are cutting a pizza. You cut the pizza into 4 pieces and you take out three of the pieces. This is what that would look like. The shaded area is the pieces you took. The white area is the piece you did not take.

Solve the equations 25 - 3x = 40. Write the problem on the sketch pad then solve the problem algebraically. I need the answer and how you work it out :)

Answers

Answer:

Step-by-step explanation:

25-3x=40

25-25-3x=40-25

-3x=15

-3x/-3=15/-3

x=-5

Enter a formula using k to connect the two variables.
F is proportional to a.​

Answers

fa
it does depend on how you want it to be set out though
If it’s directly proportional it’s = F=KA
If it’s inversely proportional it’s F=K/A

Can someone please help me? 3t + 7 = -8

Answers

Answer:

Step-by-step explanation:

Look at 3%2At%2B7=%28+-8+%29.

Moved these terms to the left  %28 +8+ %29

It becomes 3%2At%2B7%2B _green%28+8+%29=0.

Look at 3%2At%2B_red%28+7+%29%2_red%28+8+%29=0.

Added fractions or integers together

It becomes 3%2At% 2B % 28+15+%29=0.

Look at highlight_red%28+3%2At%2B15+%29=0.

Solved linear equation %28+3%2At%2B15=0+%29 equivalent to 3*t+15 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: t=-5.

Answer: t= -1/3

Step-by-step explanation:

3t+7=-8

subtract 7 from 7 and 8 (this cancels out the 7)

left with 3t = -1

divide 3 into 3t and -1

the 3 in 3t is canceled out, leaving us with t, therefore t= -1/3

A 34 foot flag pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the the end of the shadow?

Answers

Answer:

17*square root of 5

Step-by-step explanation:

Form a triangle like the one shown  below and use the pythagorean theorem:

[tex]17^2+34^2=c^2\\289+1156=c^2\\1445 = c^2\\c = \sqrt{1445} \\c = 17\sqrt{5}[/tex]

calculate 97% of 345m

Answers

Answer:

334.65 meters

Step-by-step explanation:

Solution for What is 97 percent of 345:

97 percent *345 =

(97:100)*345 =

(97*345):100 =

33465:100 = 334.65

Now we have: 97 percent of 345 = 334.65

Answer:

334.65

Step-by-step explanation:

100%-> 345

97%->345÷100×97

      = 334.65

Write an explicit formula for the nth term of this sequence:

6, 11, 16, 21, . . .

1. an=5n+11

2. an=5n+1

3. an=21-5n

4. an=6n+1

Answers

Answer:

2)an = 5n + 1

Step-by-step explanation:

This is an arithmetic series.

6 , 11 , 16, 21 ,.....

First term = [tex]a_{1}[/tex] = 6

Common difference = d = second term - first term

                                = 11 - 6 = 5

nth term = [tex]a_{1}+(n-1)*d[/tex]

             = 6 + (n - 1) * 5

            =  6 + n * 5 - 1*5

            = 6 +5n - 5

           = 6 - 5 + 5n

           = 1 + 5n

Ms. Meyer washed
2/7
of her laundry. Her son washed
1/4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Solve this on paper. Then check your work on Zearn.
write your answer as a fraction ill mark you !

Answers

Answer:

15/28 loads of laundry needs to be washed.

Step-by-step explanation:

2/7 + 1/4

=  

2 × 4 + 1 × 7

7 × 4 + 4 × 7

=  

8/28 + 7/28

=  

8 + 7/ 28

=  

15/28

-30÷5=
bunun cevabı 6 mı??​

Answers

Answer:

-6

Step-by-step explanation:

-30÷5=-6

this is the ans

Please help! What mistake did I make?

Answers

Answer:

Step-by-step explanation:

to make a negative, in addition, you can’t add a negative with a positive or the number would go from -3 + 2 = -1.

Could someone answer all 5 questions please

Answers

Answer:

3=111

Step-by-step explanation:

3 equal 111 answer! hope I’m right

Please help! Will mark brainliest if correct! Use the model attached to answer

Answers

Answer:

4 cubes will be shown in the right view of the model and the 1st option is the top view for the model.

A and b I think I hope

40 points and brainliest! Please explain your answer!!!

Answers

Answer:

give the other person brainliest

Step-by-step explanation:

the answer is B. 62°

the correct answer to the question is the answer is B. 62°

Melissa earns $180 a week selling shoes plus a commission of $10 each pair of shoes she sells. How
many pairs of shoes must she sell to make a minimum of $500 a week?

Answers

Step-by-step explanation:

10X+ 180= 500

10X= 500-180

10X= 320. .....divine both sides by 10 to solve for X

X = 32.

check

10(32)+180 = 500

320+180 =500

500 =500...confirmed

A baseball team had 70 players show up for tryouts last year and this year had 85 players show up for tryouts. Find the percent increase in players from last year to this year.

Answers

Answer:percent increase in players from last year to this year= 7.14%

Step-by-step explanation:

percent increase = (Increase  in number of players /Initial value of players Last year)  x 100

value of players for tryouts  last year = 70

value of players for tryouts this year = 85

Increase in tryouts = 85-70 =5

percent increase = 5/70 x 100

= 7.14%

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