Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B

Find The Length Of Side AB.Give Your Answer To 1 Decimal Place.C12 Cm62AB

Answers

Answer 1

Answer:

5.5 = AB

Step-by-step explanation:

take 62 degree as reference angle

using cos rule

cos 62 = adjacent / hypotenuse

0.46 = AB / 12

0.46*12 = AB

5.52 = AB

5.5 = AB

Answer 2

The length of side AB in the given right angle triangle of hypotenuse  12 cm is  5.7 cm.

A triangle with one angle at [tex]90^o[/tex] is called right angle triangle.

Given that:

Hypotenuse = 12 cm

[tex]\theta = 62^o[/tex]

The length of side AB in the given right angle triangle is calculated as:

Using trigonometric function,

[tex]\cos\theta = \dfrac{base}{hypotenuse}[/tex]

Let, the value of base be x

Substitute the values in the given formula:

[tex]\cos 62^o = \dfrac{x}{12}[/tex]

Using the trigonometric table, the value of [tex]\cos 62^o[/tex] is 0.4694

[tex]0.4694 \times 12[/tex]= x

x= 5.6328

x = 5.7

Thus, the length of side AB to 1 decimal place is 5.7 cm

Learn more about trigonometric function here:

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Related Questions

b to the power of -3
write that as a positive exponent
explain

Answers

Answer:

1/b^3

Step-by-step explanation:

b^-3 is like writing:

1

---

b^3 since negative exponents are made into fractions

Which transformation reflects a figure across the y-axis

Answers

it’s the second one .!!!!!!

The graph shows two lines, A and B.
у A 6 А. B Сл 4 3 N 1 0 1 2. 3 4 5 6

Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)

Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)​

Answers

Answer with explanation:

Part A:

One solution.

The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.

Part B:

(3, 4)

The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or [tex]x=3, y=4[/tex], as coordinates are written as (x, y).

what number can be add to
[tex] {9x}^{2} + 24x[/tex]
to make it a perfect square
•∆•​

Answers

The required number will be 16

the expression will be like :

[tex]9 {x}^{2} + 24x + 16[/tex]

[tex](3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2} [/tex]

[tex](3x + 4) {}^{2} [/tex]

hope it helps you cap !!

Anti - Venom

Find the value of BC B 4x - 10 C A D 3x + 5

Answers

Answer:

BC = 50

Step-by-step explanation:

BC = AD in a parallelogram

4x-10 = 3x+5

Subtract 3x from each side

4x-3x-10 = 3x-3x+5

x-10 = 5

Add 10 to each side

x-10+10 = 5+10

x = 15

BC = 4x-10 = 4*15-10 = 60-10 = 50

Answer:

BC = 50

Step-by-step explanation:

BC = AD

4x - 10 = 3x + 5

4x - 3x = 5 + 10

x = 15

for BC

4x - 10

4*15 - 10

60 - 10

50

Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7

Answers

Fill in the blanks using < or >.

[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]

(a) -3 [tex]\boxed{ > }[/tex] -4

(b) 6 [tex]\boxed{ >}[/tex] -20

(c) -8 [tex]\boxed{ < }[/tex] -2

(d) 5 [tex]\boxed{ > }[/tex] -7

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East

If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.

Answers

Answer:

Step-by-step explanation:

when they meet, time taken are same.

total distance they travel=20+25=45mile

total speed=45+50=95mile/hour

time=45/95=0.474hour

0.47*45=21.4mile>20mile so they meet at east of store.

points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?

Answers

Answer:

Lines are drawn from points E and D to point F to form chords E F and D F. ... Arc E D is 68 degrees. The measure of arc ED is 68°.

is x = 3 a function or not a function ?!

Answers

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

Mr cruz is computing his monthly electrical consumption.Basedon his electric bill last month he was able to consume 00150kWh. When he checked his digital electric meter at present, the reading is 00200 kWh. How may killowats hour did Mr dela cruz consume this month? If the minimum charge for the first 10 kWh is P210.00 and the succeding consumed kWh costs P10, how much is Mr. Cruz total bill?

Answers

Answer:

610$

Step-by-step explanation:

According to the Question,

Based on his electric bill last month he was able to consume 150kwh. When he checked his digital electric meter at present, the reading is 200 kwh .

Thus , Mr. Cruz Consumes 50kwh in this month .

Given, the minimum charge for the first 10 kWh is $210 . & the succeeding consumed kWh costs $10 .

The Total Bill Of Mr. Cruz is ⇒ 210 + (50-10)×10 ⇔ 610$

Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?

Answers

Answer:

the 2nd one

Step-y-step explanation:

What is the same as 3(4 + 5 + 6)?

Answers

Answer:

45

Step-by-step explanation:

3(4 + 5 + 6)

= 3(15)

= 3 × 15

= 45 (Ans)

can someone help me with Q I can't seem to get it

Answers

Answer:

Can u do zoom it plz i cant see

Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)

Answers

Answer:

The y-component is 11.49 m.

Step-by-step explanation:

Given that,

Vector = 12 m

Angle, θ = 73.3°

We need to find the y-component of this  vector.

It can be calculated as follows :

[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]

So, the y-component is 11.49 m.

Graph a line with y- intercept of 5 and gradient of -10/3

Answers

Step-by-step explanation:

the equation is:

y= -10/3 x +5

the graph as attached

Anyone know this answer?

Answers

Answer:

56 degrees

Step-by-step explanation:

The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.

Therefore, we have the equation:

[tex]\tan x^{\circ}=\frac{15}{10}[/tex]

To isolate [tex]x[/tex], take the inverse tangent of both sides:

[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]

Which scenario depicts two independent events?

The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.

Answers

Neva is hungry and she buys a snack from the concession stand event is independent.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.

The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.

The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.

Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.

To learn more on probability click:

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What is the absolute value of 6.57?​

Answers

Answer: it should just be 6.57

Step-by-step explanation:

What is the vertex of the graph of the function below? y= x2 - 4x + 3

A. (2.-1)

B. (1,-1)

C. (1,0)

D. (2,0)​

Answers

The correct answer is A. (2, -1)
Answer: A

Step by step explanation

If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base in terms of x?

Answers

Answer:

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Step-by-step explanation:

Volume of a rectangular prism = area of base x height

-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base

to determine the area of the base, divide both sides of the equation by (5x + 5)

area of the base =  (-5[tex]x^{5}[/tex] - 1)  / (5x + 5)

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Does anyone know this? Options: 5,6,or 10

Answers

Answer:

x = 6

Step-by-step explanation:

a • b = c • d  where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord

2*x = 3*4

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

What would be a sound, simple, straightforward way to describe IQR (Interquartile range)

Answers

Answer:

IQR: is the length of the middle 50% of that interval of space

Step-by-step explanation:

In order to find IQR, subtract the third interquartile range - the first interquartile range

please answer this!!!!

Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.

Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.​

Answers

Answer:

He could have asked the girls as well, and could have asked the entire class instead of just 10 students.

Step-by-step explanation:

By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.

Which best describes the relationship between the line that passes through the points (-9, -7) and (-12, -2) and the line
that passes through the points (1,9) and (6, 6)?
A. same line
B. perpendicular
C. parallel
D. neither perpendicular nor parallel

Answers

Answer:

D

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-7) / -12 - (-9)

5/-3

= -5/3

y2 - y1 / x2 - x1

6 - 9 / 6 - 1

= -3/5

Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x


=3
=2y−15

x=?
y=?

Answers

Step-by-step explanation:

The first president of the United States was

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

Answer:

x=9

y=12

Step-by-step explanation:

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!

Answers

Answer:

1. 160 min

2. 84 min

3. 5:12 p.m.

4. 6:40 p.m.

5 a 4:44 p.m.

b 7:14 p.m.






Help





Will




Give




Brainlist

Answers

Answer:

3.14 million

Step-by-step explanation:

10.676 - 7.536 = 3.14

To check

7.536 + 3.14 = 10.676

Answer:

3.14 million is the correct answer

3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0 [tex]{12{\frac{m}{s}}}[/tex] and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0 [tex]{12{\frac{m}{s}}}[/tex]​

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0 [tex]{12{\frac{m}{s}}}[/tex] and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0 [tex]{12{\frac{m}{s}}}[/tex]

[tex]\huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{mass \: 1 \: = \: 6000 \: kg}[/tex]

[tex]\quad\quad\quad\quad\sf{velocity\: 1\: = \: 2.0\: m/s}[/tex]

[tex]\quad\quad\quad\quad\sf{mass \: 2\: = \: 3000 \: kg}[/tex]

[tex]\quad\quad\quad\quad\sf{velocity\: 2\: = \: 3.0\: m/s}[/tex]

[tex]\huge\underline{\sf{\red{Fomula:}}}[/tex]

[tex]\quad\quad\quad\quad\boxed{\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}}[/tex]

[tex]\huge\underline{\sf{\red{Solution:}}} [/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{(6000 \: kg)(2.0\:m/s)+(3000\:kg)(3.0\:m/s)}{(6000\:kg)+(3000\:kg)}}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{(12,000kgm/s)+(9,000\:kgm/s)}{(9,000kg)}}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \: kgm/s}{9000kg}}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \cancel{ \red{ kg}}m/s}{9000 \cancel{ \red{kg}}}}[/tex]

[tex]\quad\quad\quad\quad \sf{vf\: = \boxed{ \sf{ 2.33 \:m /s}}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad\quad \underline{ \sf{\boxed{ \sf{ \red{ 2.33 \:m /s}}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]

[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]

ฅ^•ﻌ•^ฅ

ethan invests £500 in the bank for 2 years he earned £40 simple interest

Answers

Answer:

Rate = 4%

Step-by-step explanation:

principal = £500

time = 2 years

simple interest = £40

rate = ?

simple interest = PTR / 100

£40 = £500*2*R /100

£40*100 = £1000*R

£4000/£1000 = R

4 % = R

Solve for y please and thank you

Answers

Answer:

c)  y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90° Δ the ratio of the sides, respectively, is 1: [tex]\sqrt{3}[/tex] : 2

if the side opposite the 30°∡ is 8 then 'y' is 8[tex]\sqrt{3}[/tex] and 'x' is 16

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