Answer:
(i)unique solution
Explanation:
We solve for x1 thus in the first equation:
x1-3x3=-3
x1-9=-3
x1=-3+9
x1= 6
We solve for a thus in the second equation:
2x1+ax2-x3=-2
2+a2-x3=-2
a2-x3=-4
a2=-4+x3
The sides of ∆ are 8 cm, 7 cm and 5 cm respectively. Find its semi-perimeter
perimeter = length plus
breadth
8cm +7cm + 5cm
= 20
PLS HELP ILL GIVE U BRAINLIST
A vector is 2.5 kilometers per hour at a bearing of of 50° West of North.
Find the magnitude of its vertical component.
lyl = v sin ©
A. lyl = - 1.9
B. lyl = 1.6
C. lyl = 2.5
D. lyl = 50°
B. |y| = 1.6
Step-by-step explanation:A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
To get the magnitude of the vector's vertical component
Substitute these values into equation(ii) as follows;
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
Can someone pls help me?
Answer:
4 a
9 b
i think its a answer
Answer:
if we have to choose the option than it might be B but i didn't get question
Solve using the Applicable Variation
The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.
I'm so lost :'(
Answer:
36
Step-by-step explanation:
9/16 = 20.25/?
16x20.25÷9= 36
Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal. give ur answer in its lowest terms
Answer:
After buying the meal and the computer game, Kristian has 43.33% of his money left.
Step-by-step explanation:
Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:
72 = 100
8.40 + 32.40 = X
72 = 100
40.80 = X
40.80 x 100/72 = X
4,080 / 72 = X
56.66 = X
100 - 56.66 = 43,333
Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.
pls help plsssss sss sss sss s
25√2
Step-by-step explanation:
Since angle BAC and angle ABC are equal, AB = BC.
Let x = AB = BC
By the Pythagorean theorem,
AB² + BC² = AC²
x² + x² = 50²
2x² = 2500
x²= 1250
x = √1250
x = √(2 • 625)
x = √2 • √625
x = √2 • 25
x = 25√2
x = AB = 25√2
4(a + b) - x²(a + b)
=(4-x^2)(a+b)
=(2^2-x^2)(a+b)
=(x+2)(x-2)(a+b)
I think it hopefull to you
Answer:
(a+b) (2-x)(2+x)
Step-by-step explanation:
2^2
The term (a+b) is the same
We can factor this out
(a+b) (4-x^2)
(4-x^2) is the difference of squares (2^2 - x^2)
We know the difference of squares is (a^2 - b^2 ) = (a-b)(a+b)
(a+b) (2-x)(2+x)
If you want to distribute the terms
4a+4b -x^2a - x^b
Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.
Answer:
13.5m
Step-by-step explanation:
The boy is 1.5m tall so you subtract that by 15m and you get 13.5m
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph
What is in ? Record the measurement.
Answer:
In could be mean inches? otherwise there is not enough context to know sorry :/
Step-by-step explanation:
Answer:the answer is 90
What is the domain of the function shown in the table? y X -2 -1 0 1 1 2 3 O A. (-2,-1,0,1,2,3} O B. (-2,0),(-1,1),(0, 2), (1,3)
Answer:
(0,2)
Step-by-step explanation:
the bracket cancel
pleaseee answer quickly
Answer:
4. 3 units
5. Triangle
6. (0,2)
Step-by-step explanation:
4. The distance between the x axis and the point (8,3) is 3 units
5. Triangle will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together
6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)
Which Statement or Inequalities describe the number line graph?
Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals
Answer:
timely, timely,measurable
Step-by-step explanation:
Answer:
specific, timely, measurable
Step-by-step explanation:
i took the test on plato
this we havent learned but teacher gave us for end of year est plz help
Answer:
15
Step-by-step explanation:
Finding total number of pupils(y)
3/y x 360°=27°
3x360°/y=27°
1080°/y=27°
1080°=27°y
1080°/27°=27°y/27°
40=y
Number of pupils who said that Maths was their favorite (z)
z/40x360°=135°
360°z/40=135°
360°z=135°x40
360°z=5400°
360°z/360°=5400°/360°
z=15
Sean las proposiciones p : "Cinco es mayor que diez" y q : "Dos más dos son cuatro". Escriba en lenguaje natural la proposición ∼p∧q
Answer:
"cinco es menor o igual que diez, y dos más dos son cuatro"
Step-by-step explanation:
Primero definamos los simbolos utilizados.
∧ significa "y"
∼ es el simbolo de la negación, es decir:
∼p significa "no p"
terminemos de resolver el problema para que el concepto quede claro.
si:
p = cinco es mayor que diez (5 > 10)
entonces:
∼p = cinco es menor o igual que diez (5 ≤ 10)
y
q = dos más dos son cuatro. (2 + 2 = 4)
entonces:
∼p∧q se escribe como:
"cinco es menor o igual que diez, y dos más dos son cuatro"
what is the solution to the system of equations?
6x+2y=6
7x+3y=5
Answer:
x = 2, y = -3
Step-by-step explanation:
6x + 2y = 6 (multiplying by 3)
18x + 6y = 18 -----> (i)
7x + 3y = 5 (multiplying by 2)
14x + 6y = 10 -----> (ii)
Subtracting (i) from (ii)
18x + 6y - 14x + 6y = 18 - 10
4x = 8
x = 2
Substituting in (ii)
14x + 6y = 10
14(2) + 6y = 10
28 + 6y = 10
6y = -18
y = -3
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = 15 February
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
(2y + x)^
(4x)
(2y - x)°
Find the value of x.
A 9
В. 18
C 45
D. 90
Answer:
they are opposite degrees so we can say that 4x=2y-x
Step-by-step explanation:
5x=2y and we complete 4x+(2y+x)=180. and then 5x+2y=180. put 2y from 5x. 4y=180 y= 45 and x= 18°
Now,
(2y + x)° + (2y - x)° = 180° ( straight angle )
or, 2y + x + 2y - x = 180°
or, 4y = 180°
◆ y = 45°
Then,
4x = 2y - x ( vertically opposite angle )
or, 4x = 2*45° - x
or, 5x = 90°
or, x = 90°/5
◆ x = 18 °
I hope it's help you...
Mark me as brainliest...
Compare. Use >, <, or =.
123,546,789 >, <, or =, 123,456,789
please help
Step-by-step explanation:
123,546,789 > 123,456,789
#CMIIWi need help like asap!!!!
Answer:
to do this lets first solve this so
5*5*5*5=625
5^-3=0.008
0.008^2=0.000064
0.000064*625=0.4
so all equations that are equal to 0.4 are right which is C
The sum of 20 and b is equal to 32.99
need help
Answer:
b is 12.99
Step-by-step explanation:
Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate
Answer:
1590
Step-by-step explanation:
1500 x 0.02
= 30
30 x 3
= 90
1500+90 = 1590
(ps.. there was an equation for this i just forgot it, you can look it up and check it)
Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?
Answer:
8.8%
Step-by-step explanation:
We first divide the new amount by the original and close it with brackets.
Our one year will be shown as 1/1 as an indices
(761.60/700)^1/1
= 1.088
We then convert it to 0.088 and times it by 100.
0.088×100= 8.8% Compound interest rate.
This is correct as:
700×1.088= 761.6
Have a nice day! :)
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
Point A is a representation of which number on the number line?
Can someone answer this?
=============================================================
Explanation:
There are n = 7 sides to this polygon (so it's a heptagon)
The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.
So that means,
69+284+62+62+242+81+a = 900
800+a = 900
a = 900-800
a = 100
A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?
Answer:
[tex]A_X=\frac{15x^2}{16}[/tex]
Step-by-step explanation:
From the question we are told that:
Base of Flower bed [tex]b=\frac{x}{2}[/tex]
Height of Flower bed [tex]h=\frac{x}{4}[/tex]
Generally the equation for Area of garden left A_X is mathematically given by
[tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]
Where
[tex]A_f=b*h[/tex]
[tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]
[tex]A_f=\frac{x^2}{16}[/tex]
Therefore
[tex]A_X= A_g - A_f[/tex]
[tex]A_X=x^2-\frac{x^2}{16}[/tex]
[tex]A_X=\frac{15x^2}{16}[/tex]
please help me
No guess
Answer:
C. -7 or C. Negative seven
cual es el area de 9 cm y la medidad de 20 cm??
Answer:
9x20 = 180
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