ABC is a right-angled triangle.
Given that cos x = 3/4 and that the length of the side adjacent to the angle x is 9 cm,
work out the length of the hypotenuse.

Answers

Answer 1

Answer:

cosx=3/4x=41,41

cosx=adjacent/hypotenusecos41,41=9/hypotenusehypotenuse=9/Cos41,41hypotenuse=9/Cos41,41 =12 cm
Answer 2

The length of the hypotenuse in the triangle ABC is 12 cm.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, ABC is a right-angled triangle.

We know that cos θ =Adjacent/Hypotenuse

Here, cos x = 3/4 and that the length of the side adjacent to the angle x is 9 cm.

From triangle ABC,

cos x=BC/AC =9/b

⇒ 3/4 = 9/b

⇒ b=12 cm

Therefore, the length of the hypotenuse in the triangle ABC is 12 cm.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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Related Questions

If the radius of a circle is 44 cm, then what is the diameter?
A 44 cm
B 88 cm
C 22 cm
D 1 cm

Answers

Step-by-step explanation:

[tex]44 \times 2 = 88[/tex]

Answer:

B, 88 cm

Step-by-step explanation:

Remember, the radius is half the diameter, so if you know the radius, all you have to do is multiply it by 2 to get the diameter.

44*2=88

Diameter=88 cm

A road is inclined at an angle of 5°. After
driving 5,328 feet along this road, find the
driver's increase in altitude Round to the
nearest foot

Answers

Answer:

464 feet

Step-by-step explanation:

The Sine of the angle of inclination gives the increase in altitude.

This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e

Sin Ф = Opposite  ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

Make O the subject and multiply every fraction by 5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

This is supposed to be to the nearest foot so we round off

464·388 becomes 464 feet

Julio's wages vary directly as the number of hours that he works. if his wages for 5 hours are $29.75, how much will he earn for 30 hours?

Answers

Answer:

$178.50

Step-by-step explanation:

Big brain go thinky-think.

which two dimensial shape can be roatated about one of its edges to create a cone

Answers

Answer:

The Triangle

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

Which sentence is true?
I’m marking brainliest to the person with the correct answer !!!

Answers

Answer:

2nd one

Step-by-step explanation:

Please help me if you know the answer.
The formula for converting Fahrenheit to Celsius is C = 5/9 (F - 32). If today´s high temperature is 68 degrees fahrenheit, convert the temperature to Celsius.

Answers

Answer:

20°C

Step-by-step explanation:

(68°F - 32) × 5/9

= 36 × 5/9 = 20°C

brainliest is appreciated

Answer:

C(68) = 20 degrees Celsius

Step-by-step explanation:

In the given formula C = 5/9 (F - 32), substitutte 68 for "degrees Fahrenheit:"

C(68) = (5/9)(68 - 32), or

          +(5/9)(36), or

C(68) = 20 degrees Celsius

The money Mr. Jarod earns, m, varies directly with the number of haircuts he gives, h. He earns $15 for five haircuts. Which equation represents his earnings for the job?

Answers

Answer:

m/h = k

Step-by-step explanation:

Money earned = m

Number of haircuts = h

m α h

m = kh

k is the constant of proportionality

Amount earned for 5 hair cuts = 15

n = 5 ; m = 15

Earning for the job = k

From m = kh

Divide both sides by h

m / h = kh/h

m/h = k

15/5 = 3

Earning for the job = $3

During the second week of basketball training, Joseph practiced his free kicks 20 minutes less than twice the time he practiced in the first week. If he practiced m minutes the first week, which expression represents the number of minutes he practiced the second week.

Answers

Answer:

2m - 20

Step-by-step explanation:

Given that:

First week minutes = m

Second week minutes = (2 * first week minutes - 20)

Second week = 2m - 20

Therefore, the expression for the number of practice minutes for the second week is :

2m - 20

PLS HELP, NO LINKSSSS, WILL MARK BRAINLIEST WHO EVER GETS IT RIGHT

Answers

The answer is the first one 15/17

I need help with letter A

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x = 9

Explanation:

17x = 153

x = 9

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

9

Step-by-step explanation:

153/17=9

Find the product of (y−5)(3y+8).

Answers

15y

2

−43y+8

verified_toppr

Answer:

Step-by-step explanation:

y(3y+8)-5(3y+8)

4y+8y-15y+40

12y-15y+40

-3y+40

If a1 = 7 and an=
An-1 + 4 then find the value of a4.

Answers

Step-by-step explanation:

as an = a(n-1)+4

then a4. = 7(4-1)+4

= 7(3)+4

= 21 +4

= 25

hope this will be helpful to you.if you find it useful then plz mark my answer as brainlist.

Sally want to open a bakery. One of the things that she is going to sell is bagels. Sally asked people what type of bagels are their favorite. Out of the 200 people that she asked, 23 said that raisin cinnamon was their favorite. Sally plans bake 1200 bagels a day. How many should be raisin cinnamon?

Answers

Answer:

138

Step-by-step explanation:

200 x 6 = 1200

23 x 6 = 138

Answer:

138

Step-by-step explanation:

Divide 23 by 200

23÷200=0.115

Multiply 0.115 by 1200

0.115*1200=138

=3+(__+30)
=3+__)+30
__+30
=

Answers

Well the answer is complicated but here I go...

3+ 30 + 3 + 30 + 30 = 96?

Please help!!!!!!!I’ll mark you as brainliest!!!!!!

Answers

Answer:

B $45.00

Step-by-step explanation:

which is pretty cheap.

Is 14 x 172 greater than or less than 14? How do you know?
Please help with explaining

Answers

Answer:

14<14*1.5

Step-by-step explanation:

This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!

CAN SOMEONE PLEASE HELP ME WITH THIS??

Answers

Answer:

6^5 * a^3 * b ^2

Step-by-step explanation:

6 occurs 5 times in this equation

so it would be 6^5 (6 to the 5th)

a occurs 3 times in this equation

so it would be a^3 (a to the 3rd)

b occurs 2 times in this equation

so it would be b^2 (b to the 2nd)

Answer:

6*4

b*2

a*3

Step-by-step explanation:

Si el lunes es el marte del miercoles y el jueves es el viernes del sabado, ¿que dia sera el domingo del lunes?

Answers

Translated : If Monday is Wednesday's Tuesday and Thursday is Saturday's Friday, what day will Monday be Sunday?

Anwser: Sunday will be monday

What is the area of the shaded figure

Answers

Answer:

42 square units

Step-by-step explanation:

imagine the rectangle around the original shape, it would be LxW which wold be 9 x 6 = 54. Then if you find the area of the two triangles cut out of the left and right sides, each triangle area is 1/2 base x height, which is 1/2(6x2)=1/2(12)=6 and x2 for 2 triangles and that = 12.

Now subtract 54-12=42 sq. units shaded.

Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. Rot90 for UVW with vertices U(-4, 7), V(5, 4), and W(5, -5).

Answers

Answer:

The answer is A

Step-by-step explanation:

just got it right on edge :)

The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

What is Rotation?

A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.

90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)

When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .

- Then matrix of the rotation 90° is

[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]

We have the point U (-4, 7) and its image is

U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]

U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]

and, point V is (5, 4) and its image is

V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]

V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]

and, point W is (5, -5) and its image is

W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]

W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]

So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

Learn more about Rotation here:

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The sum of two numbers is 400. The smaller number
is 100 less than the larger number, n.
What is the value of n?
a.150
b.200
c.250
d.300

Answers

c, 250 would be the answer

Answer:

The answer is c, 250.

Step-by-step explanation:

Smaller number = n - 100

Bigger number = n

n + n - 100 = 400

2n = 500

n = 250

Check that this is true:

250 + 250 - 100 = 400

What is this? Please help me find the answer

Answers

Answer:

You can buy 4 Pizzas

Step-by-step explanation:

if you think carefully the devilery fee is still $7

because even how many pizzas you odered,the devilery man can deliver them all together

divide the spare change with the price of each pizza.

55÷12=4 r.7

4×12= 48

$48 dollars for 4 pizzas and $7 for the delivery.

48+7=55

thus he bought 4 pizzas

Answer:

thats math solution u need to answer it

The sum of three numbers is 41.the second number is 5 times the first.the third number is 14 less than the second.what is the third number?

Answers

Answer:

the third number is 11

Step-by-step explanation:

the first number is 5 so the second number since its five times the first is 25 and the third being 14 less then the second is 11

so 5+25+11= 41

subtract the cube root of the product of h and 3k from the square of the sum of p and q​

Answers

Answer:

(p + q)²            -          ∛(h·3k)   or   (p + q)² - ∛(h·3k)  

Step-by-step explanation:

Cube root of x:  ∛x

Product of h and 3k:  h·3k

Sum of p and q:  p + q

*****************************

From (p + q)²      subtract ∛(h·3k)      This becomes, symbolically:

=>       (p + q)²            -          ∛(h·3k)

Find the volume of the following
square pyramid.
5 cm
5 cm
5 cm

Answers

Answer:

41.7

Step-by-step explanation:

4.6 is what percent of 23?

Can someone give me the answer please

Answers

Answer:

20%

Step-by-step explanation:

Ratios:

[tex]\frac{x}{100} =\frac{4.6}{23} \\\\23x=460\\x=20[/tex]

Double check:

20% = 0.2

23(0.2) = 4.6

On a map, 0.5 inches represents 30 miles. If it is 2.5 inches from point A to point B on the map, what is
the actual distance in miles?

Answers

Every 0.5 inches is 30 miles

If you have 2.5 inches that is 5 times 0.5inches

Then 5 times 30 miles is 150miles

Help plsss it’s urgent!!!!!! Thank you!!!

Answers

Answer:

20 π unit ^3 is your answer mate. . .

Answer:

V = 62.8

Step-by-step explanation:

To get the answer. The equation is pi(r)^2. You square the radius (2 x 2) which equals 4 and then you times it by the height, which is 5. This gives you 20, and then you multiply pi to it (3.14) to get an exact answer of 62.8.

Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1

Answers

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

mr.floyd is laying grass squares in his backyard .He will cover the entire yard except for the vegetable garden.
15ft by 25ft
Garden 8ft by 8ft.

Answers

Answer:

Remain garden Area = 311 ft²

Step-by-step explanation:

Given:

Dimension of vegetable garden = 15 ft by 25 ft

Dimension of garden = 8 ft by 8 ft

Find:

Remain garden Area

Computation:

Remain garden Area = Area of vegetable garden - Area of Garden

Remain garden Area = [(15)(25)] - [(8)(8)]

Remain garden Area =  375 - 64

Remain garden Area = 311 ft²

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