Answer:
Step-by-step explanation:
we can write -9 instead of x and y=1 instead of 1
so we write solution again
-9a+1b=-31
-9a-1b=-41
-18a=-72
a=4
we should write 4 instead of a
-9(4)+1b=-31
-36+b=-31
b=5
a=4
HELP 10pts!!!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Use 3.14 for it. Show all calculations that lead to the answer and include units. Please provide steps to prove your answer.
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
Segment of a circle is the part of the circle. The total area of the composite figure is 142.1544 m².
What is the area of the segment of a circle?The area of the segment of the circle is given by the formula,
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
As it is given that the composite figure is made up of a circular segment and a rectangle, therefore, we will find the area of the rectangle and the area of the circular segment individually.
Area of the rectangle
The area of the rectangle is the product of its length and breadth, therefore, the area is,
[tex]\rm \text{Area of the rectangle} = Length \times breadth[/tex]
[tex]= 14 \times 6\\\\=84\rm\ m^2[/tex]
Area of the sector of the circle
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
[tex]= \pi \times 14^2 \times \dfrac{34}{360}\\\\=58.1544\rm\ m^2[/tex]
The total area of the composite figure
The total area of the composite figure
= Area of rectangle + Area of the segment of the circle
= 84 + 58.1544 m²
= 142.1544 m²
Hence, the total area of the composite figure is 142.1544 m².
Learn more about Segment of Circle:
https://brainly.com/question/1697991
How do you find the GCF of 24 and 60
Answer:
12
Step-by-step explanation:
Find the prime factorization of 24.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
HELP ME PlEASE! I am STRUGGLING??
An 8 metre long ramp reaches a vertical height of 3 feet. What angle does it make with the ground. Convert 8 metres to feet and solve for the angle using trignometric ratios. The answer gets Brainliest:)
Answer:
The Answer is 22.024
Step-by-step explanation:
Pretty sure its 22.024, sorry if i'm wrong
Have a nice day
Viola drives 2 kilometers up a hill that makes an angle of 4 degrees with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered
Answer:
2.0 km
Step-by-step explanation:
From the diagram attached,
cosθ = adjacent/Hypotenus
cos4° = x/2
make x the subject of the equation
x = 2cos4°
x = 2(0.998)
x = 1.995
x = 2.0 km. (to the nearest tenth)
Hence the horizontal distance is 2.0 km
Working together, Beth and Katy can wash a car in 6 minutes. Had she done it by herself, it would have taken Katy 18 minutes. How long would it take Beth to wash the car herself?
Answer:
It would take Beth twelve minutes to wash the car herself
Step-by-step explanation:
If they do it together in 6 minutes.
& Katy can do it in 18 minutes alone
Then 18 - x = 6
replace x for twelve
18 - twelve = 6
Ans: twelve
The price of an oven was increased by 20% to £156.
What was the price before the increase?
Answer:
Step-by-step explanation:
Before the increase it was 100%
So 20+100=120
156/120*100=130$
Don’t do it like 20/100 *156 and then minus it from 156 because you will get a wrong answer
(This was answered by another person on a another question.)
Answer:
130
Step-by-step explanation:
x * 1.2 = 156
x = 156/1.2
x = 130
Solve for X
WILL GUVE BRAINIEST ON THE FIRST ANSWER
15POINTS
Answer:
x = 10
Step-by-step explanation:
Angles are congruent because they are vertical angles:
5x + 6 = x + 46
5x - x = 46 - 6
4x = 40
x = 10
ASAP ANYONE HELP!!!!!
Answer:
C
Step-by-step explanation:
x + 6 not hard
Answer:
Is C friend
Step-by-step explanation:
The expression that represents 6 more than x is x + 6. You can also rewrite this as 6 + x, but there is no need.
Classify the triangle by its angles and sides
What is the constant of proportionality in the direct variation represented on the following graph?
- [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex]
-4
4
Find the missing side.
Round to the nearest tenth.
For all 4 pics
Answer:
1st pic) 17.8
2nd pic) 16.8
3rd pic) 9.1
4th pic) 13.5
Step-by-step explanation:
1st pic: [tex]cos = \frac{adjacent}{hypothenuse}[/tex]
(write equation) Cos 27 (cos 27 = 0.89) = [tex]\frac{x}{20}[/tex]
(new equation) 0. 89 = [tex]\frac{x}{20}[/tex]
(multiply 20 on both sides) 0.89 x 20 = [tex]\frac{x}{20}[/tex] x 20
(solve) 17.8 = x
2nd pic: [tex]tan = \frac{adjacentx}{hypothenuse}[/tex]
(write equation) tan 40 (tan 40 = 0.84) = [tex]\frac{32}{x}[/tex]
(new equation) 0.84 = [tex]\frac{32}{x}[/tex]
(multiply 32 on both sides) 0.84 x 20 = [tex]\frac{32}{x}[/tex] x 20
(solve) 16.8 = x
3rd pic: [tex]cos = \frac{adjacent}{hypothenuse}[/tex]
(write equation) cos 55 (cos 55 = 0.57) = [tex]\frac{16}{x}[/tex]
(new equation) 0.57 = [tex]\frac{16}{x}[/tex]
(multiply 16 on both sides) 0.57 x 16 = [tex]\frac{16}{x}[/tex] x 16
(solve) 9.1 = x
4th pic: [tex]tan = \frac{adjacentx}{hypothenuse}[/tex]
(write eqaution) tan 42 (tan 42 = 0.90) = [tex]\frac{x}{15}[/tex]
(new equation) 0.90 = [tex]\frac{x}{15}[/tex]
(multiply 15 on both sides) 0.90 x 15 = [tex]\frac{x}{15}[/tex] x 15
(solve) 13.5 = x
I need the answer fast!! Thanks
Solve for x round to the nearest tenth pls help
if it takes hodshi walks 10 meters in 3 seconds how long will it take to walk 100 meters
Answer:
30 seconds
Step-by-step explanation:
10x10=100 3x10=30
PLEASE I NEED HELP NOW!!!!
Answer:
80
Step-by-step explanation:
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plz solve this
1. 12/11 , 108/99
2. 1.5/9 , 1/6
3. 3/11 , 15/66
4. 1.7/1.2 , 2.9/2.4
and Determine whether each pair of ratios are equivalent ratios. Write yes or no.
Answer:
1. yes
2. no
3. yes
4. no
Step-by-step explanation:
A basketball player scores 28 points in
a game. She scores 35% of the total
team points.
How many points does her team score in
total?
a 63
b 65
C 72
d 80
Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ [tex]0.35x = 28[/tex]
divide 0.35 on both sides
⇒ [tex]\frac{0.35x}{0.35} = \frac{28}{0.35}[/tex]
solve:
⇒ x = 80
The total number of points will be 80. The correct option is D.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Assume a basketball player scores 28 points per game. She accounts for 35% of the team's total points.
Calculate the number of the points below,
35% of x = 28 points
x = ( 28 x 100 ) / 35
x = 80 points
Therefore, the number of points will be 80. Option D will be the right answer.
To know more about an expression follow
https://brainly.com/question/28986384
#SPJ2
What function is graphed below?
Y=x/3
Y=2 x +3
Y= 2 x + 3
Y = 3x
Answer: its y=x/3
So x/3 is the slope and means the same as 1/3 x
the 1/3 shows we go up one and over 3 because slope is y/x
Hope this helps
A number divided by 4 is 3. Write and solve an equation to find the missing number.
Hellooooooooooooo can someone please help me with this?
GUYS PLEASE HELP ASAP!!!!!!! A car is driving 18 meters per second. It then merges on to a highway and accelerates at a rate of 6 meters per second per second for 2.0 seconds. It then remains at this speed. What is the speed of the car on the highway?
a. 3.0 m/s
b. 12.0 m/s
c. 26.0 m/s
d. 30 m/s
Answer:
it is going to be B. 10 m/s
The speed of the car on the highway will be 30 m/s
What is acceleration?The rate at which velocity changes with time, in terms of both speed and direction.
Given that, a car is driving 18 meters per second. It then merges on to a highway and accelerates at a rate of 6 meters per second for 2.0 seconds.
Using first equation of motion,
v = u + at where, v is final velocity, u is initial velocity, a is acceleration and t is time,
v = 18 + 6*2
v = 18 + 12
v = 30
Hence, speed of the car on the highway will be 30 m/s
For more references on acceleration, click;
https://brainly.com/question/12550364
#SPJ6
DUDE ACTUALLY HELP PLEASE GIVING BRAINLIEST
Answer:
154°
Step-by-step explanation:
They are alternate angles.
Answer:
154 degrees
Step-by-step explanation:
I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.
What is √15 divided by √12 simplified?
☁️ Answer ☁️
annyeonghaseyo!
I Got:
√5/2
Here's the Decimal Form:
1.11803398
Hope it helps.
Have a nice day noona/hyung!~ ￣▽￣❤️
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. Show work. y=-16x^2+200x+82
Answer:
Step-by-step explanation:
y=-16x^2+200x+82
Answer:
my answer is 707
Step-by-step explanation:
Delta math told me lol
the straight line L, has equation y=3x-4 The straight line 1, in perpendicular to L, and passes through the point (9.5) Find an equation of line L
Given:
The equation of given line is
[tex]y=3x-4[/tex]
A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=3x-4[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=3[/tex]
It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.
[tex]m\times m_1=-1[/tex]
[tex]3\times m_1=-1[/tex]
[tex]m_1=-\dfrac{1}{3}[/tex]
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The slope of perpendicular line is [tex]-\dfrac{1}{3}[/tex] and it passes through the point (9,5). So the equation of the line is
[tex]y-5=-\dfrac{1}{3}(x-9)[/tex]
[tex]y-5=-\dfrac{1}{3}(x)-\dfrac{1}{3}(-9)[/tex]
[tex]y-5=-\dfrac{1}{3}x+3[/tex]
Adding 5 on both sides, we get
[tex]y-5+5=-\dfrac{1}{3}x+3+5[/tex]
[tex]y=-\dfrac{1}{3}x+8[/tex]
Therefore, the equation of required line is [tex]y=-\dfrac{1}{3}x+8[/tex].
−2t−5<9
Hiiiiiiii
Huuuu
Answer:
t > -7
Step-by-step explanation:
To solve for t, first add 5 to both sides:
-2t - 5 < 9
-2t < 14
Divide each side by -2, and flip the inequality because we are dividing by a negative number:
-2t < 14
t > -7
So, the solution is t > -7
HELLO
now you can give the other person brainiest
Which expression is equivalent to sqrt48x^5 if x>0
Answer:
sqrt (48x^5) if x>0
. implies multiplication
48 = 2. 2.2.2.3= 2^4 .3
sqrt [2^4 .3 (x^5) ] if x>0
sqrt [2^4 ] sqrt [3 ] sqrt [(x^5) ] if x>0
sqrt [16 ] sqrt [3 ] sqrt [(x^5) ] if x>0
4. sqrt [3 ] sqrt [(x^5) ] if x>0
We know, sqrt [(x^5) ] if x>0 = x^2. sqrt [(x) ]
4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0
4x^2 sqrt[3x] (answer c)
Step-by-step explanation:
Can please give me the answer for this?
Answer:
Least : Orange, red, yellow, purple, green : Greatest
O = 7.2
R= 7.5
Y= 7.875
P= 8.25
G= 8.33
Step-by-step explanation:
either convert them all to fractions, or convert them all to decimals
IM VERY SORRY if its wrong tho :(
PLEASE HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! How many holes need to be drilled for 36 parts? Show your work.
Answer:
18c
= 18(36)
=648
Hope this helps you
Answer:
Part H
How many holes need to be drilled for 36 parts? Show your work.
Step-by-step explanation:
18c
= 18(36)
= 648