Mathematics High School

The diagram shows a right-angled triangle.
51°
8 cm
hcm
What is the value of h?
Give your answer correct to 1 decimal place.

The Diagram Shows A Right-angled Triangle.518 CmhcmWhat Is The Value Of H?Give Your Answer Correct To

Answers

Answer 1

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, [tex]\theta=51^{\circ}[/tex]

We need to find the value of h. We can use trigonometry to find h.

[tex]\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm[/tex]

So, the height of the triangle is 9.87 cm.

Related Questions

You are at a restaurant and the check comes to a total of $19. If you want to leave a 19% tip, how much total money should you pay, to the nearest cent?​

Answers

Answer:

the amount of tip is going to be $3.61.

Step-by-step explanation:

0.19 x $19.00

=$3.61.

Expand and simplify the expressions using properties of operations.

6(7y−8)

Answers

Answer:

42y-48

Step-by-step explanation:

6 x 7

6 x 8

Simone, buys one charger for $ 1.59 and phone popsockets $0.29 for each. She spends a total of $5.07. If there is no sales tax added to Simone totals. Which equation represents the situation?​

Answers

Answer:

it is B i took the quiz

Step-by-step explanation:

hope it helps

Question down below.

Answers

Answer:

B and D

Step-by-step explanation:

What is 54×18 written in standard form

Answers

Answer:

972

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

972

Step-by-step explanation:

Which expression has the greatest value?


3÷16

5÷16

5÷12

3÷12

Answers

Answer:

The correct answer is 5÷12

A store owner determined 80% of customers bought a drink and 30% of customers bought a snack. If the store sold 120 snacks that day how many more drinks were sold​

Answers

the answer is 196 if i stand corrected

Layla has $2 worth of dimes and quarters. She has 6 more dimes than quarters. By
following the steps below, determine the number of dimes, I, and the number of
quarters, y, that Layla has.

Answers

Answer:

Layla has 4 quarters and 10 dimes

Step-by-step explanation:

A quarter each is 25 cents. And a dime each is 10 cents. counts from 10 10 times and then add 25 4 times and you get 200 which is 2 dollars. Example: 10 20 30 40 50 60 70 80 90 100 with 10 dimes alone that's a dollar 4 quarters equal another dollar so both of those equal 2 dollars. Layla had 4 dimes and 4 quarters when she added 6 more dimes it all equaled 2 dollars. Hopefully this makes sense.

10 dimes and 4 quarters

  proving answer:

     10 - 4 = 6

Theres 6 more dimes than quarters

Explain how you would find 36x 5/6
mentally.

Answers

Answer:

In step-by-step explanation.

Step-by-step explanation:

Multiplying a fraction (like 1/2) is really just dividing by the denominator.

In this case, we can (mentally) divide 36 by 6.

36/6 = 6

So each 1/6 of 36 is 6.

Then we just add 1/6 of 36 five times to get 5/6

6+ 6+ 6+ 6+ 6 (or 6 x 5) and we get 30.

we will simplify it in four's table
9×3=27

what’s the area of the figure for brainlist ?!

Answers

Answer:

4x^4

Step-by-step explanation:

The polygon has 4 right angles, and two consecutive sides are congruent, so it's a square.

For a square:

area = (side)^2

area = (2x^2)^2 = 2x^2 * 2x^2 =

area = 4x^4

Five friends, including Marlon, purchased two boxes of pizzas. They equally shared the pizza among themselves. How much pizza did Marlon get?​

Answers

2 boxes of pizza's pizza is usually cut in eights so there would be 16 slices of pizza divided by 5 it would be around 3 or 3.2

Step-by-step explanation:

The LCM of 4 and 6 is . (5 points)​

Answers

Answer:

10

Step-by-step explanation:

150 adults complete a survey
80 are women
Write the ratio men to women in its simplest form

Answers

Answer:

7 : 8

Step-by-step explanation:

150 adults complete a survey. 80 are women. Thus the ratio of number of men to number of women . Therefore the number of men to number of women be 7 : 8

ASAP I NEED THIS NOW

Answers

Answer:c

Step-by-step explanation:

Answer: C I got it right

after serious negotiating you got $25 discount a pair of sneakers if the original price of the sneakers was $125 what percentage discount did you get ​

Answers

I’m not to sure but I think you would have 50% off but just in case try other options first I hope this helps!

Anna solved the equation 7x-1=x-1+6x and got 0=0. Was she correct? Explain how you know. If she is correct, what does her result tell about the solution(s) to the equation?

Answers

Answer:

Any value of x makes the equation true.

All real numbers Interval Notation: (−∞,∞)

Step-by-step explanation:

5x + 2y = -3
3x + 3y = 9​

Answers

Answer:

Step-by-step explanation:

5x + 2y = -3

3x + 3y = 9

15x + 6y = -9

-15x - 15y = -45

-9y = -54

y = 6

5x + 2(6) = -3

5x + 12 = -3

5x = -15

x = -3

(-3, 6)

Which number is a solution of the inequality 13.4 < b
A. 17
B. 8
C. 10
D. 1

Answers

Answer:

the answer is A: 17, others are all < 13.4

Step-by-step explanation:

only: 17 > 13.4,  others are all < 13.4

Stacy spent £15 on ingredients for bread. She made 12 loaves and sold them for £1.80 each. Calculate her percentage profit.

Answers

Answer:

Step-by-step explanation:

which gives us a percent increase of 66.7%

which gives us a percent increase of 20%

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect?

Answers

Answer:

The original function is an exponential growth function, and so is a new function, but it will be translated in to  2 units.

Step-by-step explanation:

The first function will have a horizontal asymptote at y = 0 and the second function will have a horizontal asymptote at y = 22.

In this truss bridge, A MNR ~ APQR. QR = 3 feet, PQ = 4 feet and NR = 6 feet.
What is MN, the height of this bridge?

Answers

Answer:

8

Step-by-step explanation:

because i said

Answer:

8

Step-by-step explanation:

on edu 2021

what is the formula for slope

Answers

Answer:

y=mx+b

Step-by-step explanation:

P +78<90 solve fast pls

Answers

Answer:

p is greater ta\han or equal to 13

Step-by-step explanation:

p + 78 is greater than 90

p has to be greater than the number plus 78 that equals 90

that would be 12

p is greater than or equal to 13

Liz is shipping a package to her friend. The maximum weight of a medium flat rate box is 20 pounds , including the box which weighs 6 ounces Write and solve an inequality to describe the possible weight in pounds , wof the contents that will ship to her friend she must medium flatrate box Use the drop-down menus to explain your answer

Answers

Answer:

19.625 pounds.  i think

Step-by-step explanation:


Plz help me on question 19 and 20 !

Answers

Answer:

19) -2 and 7  20) -1, 1/4, 3/4, 2

Step-by-step explanation:

Use desmos graphing calculator for the sketch, and just copy the graph it give you.

can you help me with this problem?​

Answers

The answer is going to be A

Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....

Answers

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

3a-6b/3ab

Steps please. Not sure if I originally did this question correctly.

Answers

Answer:

a-2b/ab

Step-by-step explanation:

3a-6b/3ab

Factorize

3(3a-6b/3ab)

= a-2b/ab

What’s the answer????????

Answers

Answer:

19.25 (tax)

294.25 (total price)

135.75 (money left)

Please mark 5 stars and brainlliest

Step-by-step explanation:

Tourist covered today 15 miles. This was 1/4 of his planned trip. How big was his trip?

Answers

Answer:

60

Step-by-step explanation:

1/4 = 25%

15 ÷ 25% = 60

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