10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.
Answer:
x = 3.69 feet
11.69 x 13.69 feet
Step-by-step explanation:
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Answer:
x = 3.69 feet
11.69 x 13.69 feet
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Can someone pleade help me on this question 8
The value of 3° is
its from the chapter exponenets
Answer:
1
Step-by-step explanation:
=>. the value of 3° = 1
=> it is known to us that any number to the
power zero is equals to 1
hope it helps
Can someone help me pls
Answer:
Yes it is tangent because it is touching a certain point
Step-by-step explanation:
Heres a pic i found of an example and it looks exactly like that one
9514 1404 393
Answer:
yes
Step-by-step explanation:
The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.
5² + 12² = 25 +144 = 169 = 13²
These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.
Yes, AB is a tangent.
Please help me find the length of EC
Answer:
15
Step-by-step explanation:
BD=AC
E is the midpoint of both lines, so BE=CE
LOOK AT PIC PLS THX!! I WILL TRY TO GIVE BRAINLIEST TO RIGHT ANSWRR
Answer:
240 ounces
Step-by-step explanation:
y'know you could just look this up lol
Answer:
240 oz
Multiply pounds by 16
15 × 16 = 240
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
x = 5.
y = -2
Step-by-step explanation:
y = x - 7
2x + y = 8
substitute the first equation into the second
2x + (x -7) = 8
2x + x - 7 = 8
3x - 7 = 8
3x = 8 + 7
3x/3 = 15/3
x = 5.
substitute 5 in the second equation
y = 5 - 7
y = -2
HELP PLEASE GIVING BRAINLIEST!!!
Answer:
161
Step-by-step explanation:
Find the perimeter of A ABC. If necessary, round to the nearest tenth.
Answer:
37.6
Step-by-step explanation:
A to B - just count up the numbers, it's 10
B to C - just count up the numbers, it's 12
A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6
And just add them together 10+12+15.6 to get 37.6
Calculate the geometric mean of 12 and 20
Answer:
The Geometric mean of two numbers is the square root of their product.
Given numbers are 12,20.
Geometric mean = √(12*20)
= √240.
= 15.49.
= 15.5.
The geometric mean of 12 and 20 is 4√15.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 3 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 12 and b = 20
so,
The geometric mean of 12 and 20.
= √(12 x 20)
= √240
= 4√15
Thus,
The geometric mean of 12 and 20 is 4√15.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is the greatest common factor of 32, 44, and 48?
Answer:
4
Step-by-step explanation:
the table below shows the points scored by green bird players. what was the median number of the points scored
Answer: Sorry
Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(
pleaseee help meeee i need help
Answer:
[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \frac{ {x}^{m} }{ {x}^{n} } < = > {x}^{m - n} [/tex]let's solve:[tex] \sf use \: the \: formula : \\ \tt \frac{ {x}^{2n + 4}. {y}^{4n} }{ {x}^{5} . {y}^{2n + 1} } \\ \tt {x}^{2n + 4 - 5} . {y}^{4n - 2x - 1} [/tex][tex] \sf simplify \: subtraction : \\ \tt {x}^{2n- 1} . {y}^{2n - 1} [/tex]Find the area of the shaded region. Round to the nearest hundredth when necessary.
sos please help how to do this
Answer:
±√7
Step-by-step explanation:
[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]
Jazmine's bakery shop Sells doughnut boxes for $10, In addition $5 for the toppings
Answer:
y=10+5x
Step-by-step explanation:
Have a great day
All 50 digits of pi.
(Giving brainliest to first correct answer.)
I’m trying to figure out how this thing works. I’ve never asked a question.
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510
Step-by-step explanation:
Step-by-step explanation:
172738192739q0wiw7uqsjs
32 is what percent of 110? (round to the nearest percent)
Rewrite using a single positive exponent.
8
.8
-3
2 24-5what is 24 - 2x wanted to 24 - 5 exponent
Answer:
24-5:x2
Step-by-step explanation:
im not sure
mark brainliest if it helps
-4x – y = 24
Complete the missing value in the solution to the equation.
Answer:
x = -5
y = 1
Step-by-step explanation:
-4(-5)-1=24
25-1=24
24=24
Answer: x= -6, y= 6
Step-by-step explanation:
two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles
Answer:
93
Step-by-step explanation:
SOEINE HELP ME ASAPPP PLZ
Answer:
i attatched a picture of how it should look
Step-by-step explanation:
The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.
Given:
The equation are
[tex]y=3x+2[/tex]
[tex]y=2x^2+7x-11[/tex]
To find:
The coordinates of intersection points.
Solution:
We have,
[tex]y=3x+2[/tex] ...(i)
[tex]y=2x^2+7x-11[/tex] ...(ii)
From (i) and (ii), we get
[tex]3x+2=2x^2+7x-11[/tex]
[tex]0=2x^2+7x-11-3x-2[/tex]
[tex]0=2x^2+4x-13[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].
Using quadratic formula, we get
[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]
Now,
[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]
[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]
[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]
Putting x=1.74 in (i), we get
[tex]y=3(1.74)+2[/tex]
[tex]y=5.22+2[/tex]
[tex]y=7.22[/tex]
Putting x=-3.74 in (i), we get
[tex]y=3(-3.74)+2[/tex]
[tex]y=-11.22+2[/tex]
[tex]y=-9.22[/tex]
Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).
Franklin needs 1.25 meters of ribbon to wrap each gift. He has a spool of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. How many gifts of the same dimension can he wrap using the spool of ribbon?
Answer:
6
Step-by-step explanation:
convert 1.25 meters to feet
1 meter = 3 feet
1.25 meters = 1.25 x 3 = 3.75 feet
Number of gifts he can warp = 25 feet / 3.75 = 6.6
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°
Answer:
D. 60, 60, 60
Step-by-step explanation:
In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!
The angle measurements found in an equilateral triangle are 60°, 60°, 60°
What is an Equilateral Triangle?An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.
We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.
For a triangle with equal sides, it implies that each length will possess;
= 180°/3
= 60° each.
Learn more about equilateral triangles here:
https://brainly.com/question/17264112
2+5.67890654321678-5432
In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
angle divided by 5. What are the values of the 3 interior angles in the triangle? Make sure
to draw and label a sketch of the triangle.
Answer:
Step-by-step explanation:
can you show a picture?
How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B
Thanks and please shows steps. I will vote best answer and helpful and do more.
Step-by-step explanation:
tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)
= (sin2B + cos2B)/[(cosB)(sinB)]
= 1/[(cosB)(sinB)]
= (1/cosB)(1/sinB)
= (secB)(cscB)