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
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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b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7
[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]
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
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:
Graph a line with y- intercept of 5 and gradient of -10/3
Step-by-step explanation:
the equation is:
y= -10/3 x +5
the graph as attached
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
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.
what number can be add to
[tex] {9x}^{2} + 24x[/tex]
to make it a perfect square
•∆•
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
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!
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.
What is the same as 3(4 + 5 + 6)?
Answer:
45Step-by-step explanation:
3(4 + 5 + 6)
= 3(15)
= 3 × 15
= 45 (Ans)
Find the value of BC B 4x - 10 C A D 3x + 5
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
ethan invests £500 in the bank for 2 years he earned £40 simple interest
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
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?
Answer:
the 2nd one
Step-y-step explanation:
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?
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 $10 .
The Total Bill Of Mr. Cruz is ⇒ 210 + (50-10)×10 ⇔ 610$
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]\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
What would be a sound, simple, straightforward way to describe IQR (Interquartile range)
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
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)
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 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)
Help
Will
Give
Brainlist
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
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.
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?
Answer: it should just be 6.57
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?
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
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 ?
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.
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.
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.
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.
Solve for y please and thank you
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
Anyone know this answer?
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]
is x = 3 a function or not a function ?!
Answer:
x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.
Which transformation reflects a figure across the y-axis
Does anyone know this? Options: 5,6,or 10
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
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
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
can someone help me with Q I can't seem to get it
Answer:
Can u do zoom it plz i cant see