Answer:
6 in and 15 inStep-by-step explanation:
Given:
l = 2w + 3A = 90 in²w = ?l = ?Area formula:
A = lwSubstitute values and solve for w:
(2w+3)w = 902w² + 3w = 902w² + 3w - 90 = 0w = (-3 ± [tex]\sqrt{3^2 - 4*2*(-90)}[/tex])/2*2w = (-3 ± √729)/4w = (-3 ± 27)/4w = 6 (positive root only)The width is 6 in, find the length:
l = 2*6 + 3 = 15 inwidth be x
Length be 2x+3Now
area=Length×Breadthx(2x+3)=902x²+3x=902x²+3x-90=0On solving we will get
x=6[Take positive]Now
Length=2(6)=3=15in
A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x
Consider the below figure attached with this question.
Given:
A, B & C lie on a straight line. D, C & E lie on a different straight line.
[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]
To find:
The value of x.
Solution:
A, B & C lie on a straight line.
[tex]m\angle ABD+m\angle DBC=180^\circ[/tex] (Linear pair)
[tex]y+m\angle DBC=180^\circ[/tex]
[tex]m\angle DBC=180^\circ-y[/tex]
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex] (Exterior angle theorem)
[tex]180^\circ-y+z=x[/tex]
[tex]180^\circ-117^\circ +63^\circ =x[/tex]
[tex]126^\circ =x[/tex]
Therefore, the value of x is 126 degrees.
Quadrilateral ABCD has vertices AC-3.6), B(6,0), C(9. -9), and D(0, -3). Prove that ABCD is a) a parallelogram
9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.
A + C = (-3, 6) +(9, -9) = (6, -3)
B + D = (6, 0) +(0, -3) = (6, -3)
Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.
___
The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).
A group of 5 friends sold lemonade. If they sold each cup for $0.50 on Friday and for $0.45 on each other day of the week, how much money did each friend make if they split the money evenly?
Answer:
$5.81
Step-by-step explanation:
helpppp pleaseeeee.....-.....
Answer:
answer attached
Step-by-step explanation:
(-8 , 12) and (36 , -21)
if a=-4h^2-h+5 and b=8h-3h+12 find a-b
Answer:
4h^2-6h-7
Step-by-step explanation:
[tex](4h^{2} -h+5) - (8h-3h+12)\\4h^{2} -h+5 - 8h+3h-12\\4h^{2}-9h+3h-7\\4h^{2}-6h-7\\[/tex]
hiii please help i’ll give brainliest:)
Answer:
oligarchy
Step-by-step explanation:
Which of the following whole numbers has a square root between 5 and 6?
37, 44, 56, or 27
Answer:
27
I'm not sure how to explain it
hey in need of help please help me
Ayana made a scale drawing of the auditorium. The scale she used was 5 inches : 3 feet. The actual length of the stage is 51 feet. How long is the stage in the drawing?
pls help me I NEED THIS ASAP
Answer:
85in
Step-by-step explanation:
The coach of a baseball team counts
240 males and n females in the
bleachers. She determines that 80%
of the male and female spectators
are fans of the home team. The coach
writes an expression 0.80n + 192 to
represent the number of home team
fans. Is the coach correct? PLEASE HELPPP!
Answer:
No
Step-by-step explanation:
He is An Idiot
On Monday the price for bottled water was 2 bottles for $3.68. On Saturday the price was 5 bottles for $9.55. Which day had the higher unit price?
Answer:
Saturday
Step-by-step explanation:
Monday was 1.84
saturday was 1.91
Answer:
Saturday
Step-by-step explanation:
Monday was 1.84
Saturday was 1.91
hii please help asap ill give brainliest thanks
Answer:
The decimal number system in use today was first recorded in Indian mathematics.
Step-by-step explanation:
In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics.
Answer:
Decimal point system.
Step-by-step explanation:
A cylinder with a base diameter of x units has a volume
of zor cubic units.
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is Ax2 square units.
The area of the cylinder's base is žm1x2 square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Answer:
its B and E
Step-by-step explanation:
I already did the review
In the US, 77% of all teens have a TV in their bedrooms, while 59% of all teens in Spain have them. A simple
random sample of 500 teens from the US and 300 from Spain are selected and all are asked whether they have a
TV in their bedrooms. Let 9, -be the difference in the sample proportions of teens with a TV in their bedrooms,
where
is the sample proportion of US teens with a TV in their bedrooms and is the sample proportion of
Spanish teens with a TV in their bedrooms.
What is the shape of the sampling distribution of the difference in the two sample proportions?
approximately uniform
approximately Normal
skewed to the right
skewed to the left
Answer:
the answer is approximately normal
Step-by-step explanation:
IM GETTING RIPPED TONIGHT R.I.P THAT ****** AYEEEE
Answer:
she not with him tonight
she not with Jim tonight
she in the gym tonight
Answer:yes
Step-by-step explanation:
Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent
Answer:
Vertical angles are congruent
PLZ HELP!!! I'm begging you! Problem: If each letter of the alphabet is worth two more numbers than the number before it (1=1, 2=3), what is the entire alphabet worth?
Answer:
676
Step-by-step explanation:
I think this is an arithmetic series, so
Sn = 26/2[2(1) + (26 - 1)2]
Sn = 13[2 + 50]
Sn = 13[52]
Sn = 676
Answer:
676
Step-by-step explanation:
A = 1
B = 3
C = 5
D = 7
...
Z = 51
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25
(+) + 51 + 49 + 47 + 45 + 43 + 41 + 39 + 37 + 35 + 33 + 31 + 29 + 27
---------------------------------------------------------------------------------------------------
52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52
13 * 52 = 676
Answer: 676
Alex has a pile of 2p coins. She swapped exactly half of them for the same number of 10p coins.
Now she has £4.20
How much money did alex have initially?
Answer:
£8.4
Step-by-step explanation:
Since she swapped half and now has £4.20, then multiply that by 2
4.20 × 2 = 8.4
Alex initially had £8.4
The initial amount of Alex's 2p coins is £8.40
Let the initial worth of 2p coins = y
Half of y = y/2 The value of y/2 = £4.20The amount of money Alex had initially = yWe can then solve for the worth of y, which is the titla amount Alex had initially ;
y/2 = £4.20Multiply bith sides by 2 (y/2)×2 = £4.20 × 2 y = £8.40Therefore, the amount of money Alex had initially is £8.40
Learn more : https://brainly.com/question/18109354
Answer these questions
Answer:
well well well
Step-by-step explanation:
dont cheat on live classwork pls
Given that r = 7x+7y find x when y = 2 and r = 8
Answer:
x = -6/7
Step-by-step explanation:
We must substitute in the values and solve for x
[tex]r = 7x + 7y\\(8) = 7x + 7(2)\\8 = 7x + 14\\8 - 14 = 7x + 14 - 14\\-6 = 7x\\-6/7 = 7x/7\\x = -6/7[/tex]
Write the equation of the circle graphed below
Answer:
(x-4)² + (y-3)² =29
Step-by-step explanation:
The equation of a circle is
(x-h)² + (y-k)² = r², where (h, k) is the center of the circle and r is the radius.
In this circle, the center is at (4, 3)
(x-4)² + (y-3)² = r²
and we have point (-1 ; 1)
r²=(-1-4)² + (1-3)² = 25+4=29
(x-4)² + (y-3)² =29
Answer:
(x - 4)² + (y - 3)² = 29
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (4, 3 )
The radius r is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (4, 3)
r = [tex]\sqrt{(4+1)^2+(3-1)^2}[/tex]
= [tex]\sqrt{5^2+2^2}[/tex]
= [tex]\sqrt{25+4 }[/tex] = [tex]\sqrt{29}[/tex]
Then
(x - 4)² + (y - 3)² = ([tex]\sqrt{29}[/tex] )² , that is
(x - 4)² + (y - 3)² = 29 ← equation of circle
Apply the distributive property to create an equivalent expression.
(15 + 10)
Answer: 5(3+2)
Step-by-step explanation: and once you distribute that it gives you (15+10) so that’s how you know it’s right hope it helped
(sorry if it’s wrong lol )
You purchased a new hoodie. You found a coupon on the
internet that allowed you to take 40% off the price. The original
advertised price of the hoodie was $18.98. If the tax rate is.
6.5%, what would be the final cost of the hoodie?
Answer:
12.13
Step-by-step explanation:
18.98 take 40% off
11.39
11.39 plus 6.5 tax = 12.13
The total tax was 0.74
Hope this helps!!
Have a great day!!!!!
Which line is parallel to the line y=x+7?
1) x+y=-2
2)x=1
3) x-y=5
4)y=1
Answer:
3
Step-by-step explanation:
to find the parallel of this line we need to find function with same slope
1) x+y=-2 ⇒ y=-x-2
2)x=1
3) x-y=5 ⇒ y=x-5
4)y=1
so third
Polynomials are written with the exponents of the terms in_____order.
Answer:
descending order, meaning standard form.
Step-by-step explanation:
Ex: x^2-5x+2
or
Ex: 2x^3 -5x^2 -2x +3
tell me if it doesn't make sense
There are 45 students in a class. If 60% of them are girls, find the number of girls and boys
please help me i am requesting I will mark u as brain list
Step-by-step explanation:
here's your solution
==> Total number of students in class = 45
==> percentage of girls in class = 60%
==> number of girls in class = (60/100)*45
==> number of girls = 27
==> number of boys = 45 - 27
==> number of boys = 18
hope it helps
5/9 - 2/5 = and what is 1/2-1/9 =
Answer: 7/45, 7/18
Step-by-step explanation:5/9 - 2/5 = 25/45 - 18/45 = 25 - 18/45 = 7/45
and 1/2 - 1/9 = 9/18 - 2/18 = 7/18
a man saves Rs 5400 in a month which is 30% of his monthly income. how much does Spain in a month??
Answer:
solution in attachment
hope it helps
Plz, help everything is in the picture!
Answer:
$5469.49Step-by-step explanation:
Year >> Starting balance >> prt >> Interest
1 4200 4200*1.045 = 4389 4389 - 4200 = 189
2 4389 4200*1.045² = 4586.51 4586.51 - 4200 = 386.51
3 4586.51 4200*1.045³ = 4792.90 4792.90 - 4200 = 592.90
4 4792.90 4200*1.045⁴ = 5008.58 5008.58 - 4200 = 808.58
5 5008.58 4200*1.045⁵ = 5233.96 5233.96 - 4200 = 1033.96
6 5233.96 4200*1.045⁶ = 5469.49 5469.49 - 4200 = 1269.49
Determine the volume of the rectangular prism.
Answer:
50 ft³Step-by-step explanation:
We know the formula for a rectangular prism is length × width × height
We also know all the sides so we can rewrite the formula replacing variables.
The length is 8, the width is 2[tex]\frac{1}{2}[/tex] and the height is 2[tex]\frac{1}{2}[/tex]
8 × 2[tex]\frac{1}{2}[/tex] × 2[tex]\frac{1}{2}[/tex]
Multiply which ever way is easy for you. I am just multiplying from left to right.
8 × 2[tex]\frac{1}{2}[/tex] = 20
20 × 2[tex]\frac{1}{2}[/tex] = 50
Now we get 50. Before we put our answer as 50, there are two more steps.
First we need to add the measurement unit which is feet or ft
We also need to add ³ since it is volume
50 ft³ is our final answer