Let a = 12 and b = 18 be the two given sides
Let c be the unknown third side
Due a modified form of the triangle inequality theorem, we know that,
b-a < c < b+a
18-12 < c < 18+12
6 < c < 30 which is the final answer
This says c is between 6 and 30, but cannot equal either endpoint.
Diana and Dulce were selling tickets for their upcoming
softball game. Dulce sold 20% more than Diana. If they
sold 55 tickets total, how many tickets did each of them
sell?
Answer:
Diana sold 25 tickets and Dulce sold 30 tickets
Step-by-step explanation:
Let us assume that Diana sold x number of tickets, dulce sold 20% more x or 1.2x. ATQ, x+1.2x=55. x=25. So Diana sold 25 tickets and Dulce sold 30 tickets
Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-3x+
3x + = 0
Answer:
Is E
explanation:
ASAP!! PLEASE HELP
Max deposited P20,000 in an investment that will give him P1,750-gain for every year that his money stays in the account. How much money will he have in his account by the end of year 8?
Answer:
Step-by-step explanation:
8*1750=14000
Amount=14000+20000
=34000
your village community group is putting a new fence around the park .you offer to help and measure the distance around the park as 337 metres. each fence panel is 550cm across .how many fence panels do you need
Explanation:
Perimeter of the park
= 337 m
= 33700 cm
Length of each fence panel
= 550 cm
Number of fence panel required
= Perimeter of the park/Length of each fence panel
= 33700 cm/550 cm
= 33700/550
= 3370/55
= 674/11
= 61 3/11
So, we will need 61 3/11 fence panels.
P.S. — 61 3/11 means 61 whole and 3/11. I have attached its picture, so that you understand.
whats the differnce in (5x+4)-(x+2)
Answer:
4x+2
Step-by-step explanation:
(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2
Prove that a triangle with two congruent altitudes is an isoceles triangle.
Answer:
See image
Isosceles triangles have 2 congruent base angles
Simplify the expression:
4 + 4f2 + 6f - 6f
Answer:
4f^2 +4
Step-by-step explanation:
4 + 4f^2 + 6f - 6f
Combine like terms
4f^2 +4
please answer this!!
Answer:
You can not solve it because Side P does not exist
Step-by-step explanation:
PLEASE HURRY I HAVE 3 mins left Which relationship could be the one shown on the graph?
10fx
9
8+
7
6
5
4.
3
2+
1
1 2 3 4 5 6 7 8 9 X
Option A
Must click thanks and mark brainliest
Sorry if i am wrong
Determine the slope of the line that has the following coordinates: (-2, 5) (4, -2)
Answer:
slope= -1 1/6
Step-by-step explanation:
x1 y1 x2 y2
-2 5 4 -2
(Y2-Y1) (-2)-(5)= -7 ΔY -7
(X2-X1) (4)-(-2)= 6 ΔX 6
slope= -1 1/6
B= 2 2/3
The side measurement of the wall of the Green House is 9m. Find the cost of the glass required for the walls of the Green House, if the cost of 1m2 glass is AED 12.
Answer:
AED 972
Step-by-step explanation:
Area of the wall = 9² = 81 m²
each m² costs AED 12
so 81 m² will cost 12×81 = AED 972
how to find how many integers between two numbers that are square rooted
Answer: Square roots are the numbers that, when multiplied by themselves, equal the number under the square root sign. For instance, sqrt(9) equals 3, since 3*3 equals 9. You should memorize the values of square roots, at least up through 100. Once you do that, you will easily be able to determine which perfect square, and subsequently, which square root, is between two integers.
Answer:
The other answer is correct.
Step-by-step explanation:
(85^4 - 75^4)/(85^3 + 85*75^2 + 75*85^2 + 75^3).=
Answer:
10
Step-by-step explanation:
(85^4 - 75^4)/(85^3 + 85*75^2 + 75*85^2 + 75^3)=10
what is the inverse of function of f?
f(x) = -7x - 4
Answer:
f^(-1) (x) = -(x+4)/7
Step-by-step explanation:
f(x) = - 7x-4
f(x)+4=-7x
x=-(f(x)+4)/7
f^(-1) (x) = -(x+4)/7
how to solve 1168 divided by 8
10. A local park is located on a triangular piece of land. What is the area of the park to the nearest tenth? (1 point) S 75 m 40° R 150 m T Area = m2
Answer:
Area equals to 3615.7
Step-by-step explanation:
So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.
In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.
Next using the law of sines, and plot the numbers in:
a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907
Now calculat the area;
Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765
I attached a graph below that may help to see will all the things go
Can anyone tell me why by direct substitution of x, the equation (circled ones) equals to the indeterminate form, 0/0? When you can do x²-k=6 something like that
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
A ship sails from east to west direction for 5 km, and then sails north for 12 km. Find the distance between its destination and its starting position?
Answer:
13km
Step-by-step explanation:
Distance, x = √(12² + 5²)
= 13
HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
Thank you!!
Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).
I'LL GIVE BRAINLIEST !!! FASTERR
please provide explaination !
Answer:
x=50
y=75
Step-by-step explanation:
The explanation is in the picture!
The mean of 14 numbers is 49. Removing one of the numbers causes the mean to decrease to 43. What number was removed?
Answer:
126 was removed.
Step-by-step explanation:
The total before division took place was
Total = mean * 14
mean = 49
Total = 49 * 14
Total = 685
Now you subtract x from the total
685 - x
And divide by 13 [one number is missing]
(685 - x)/13
and the result = 43
(685 - x ) / 13 = 43 Multiply both sides by 13
685 - x = 43 * 13
685 - x = 559 Subtract 685 from both sides
- x = - 126 Multiply by - 1
x = 126
13. A map has a scale of 2 cm to 3 km.
(iii) If the actual area of a lake is 81 km?, calculate
its area on the map.
Scale = 1cm:3km
Therefore area of lake = 81Km
1:3 = x:81
= 27:81
Therefore the area on map is 27cm
Must click thanks and mark brainliest
Answer:
121.5 is answer.
Step-by-step explanation:
81 / 2 = 40.540.5 *3 = 121.5Y+y+y+y rewrite in multiplication
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
factorize. xy^2-y(x-z) -z
Answer:
The equation x The equation x 2The equation x 2 +xy+xz+yz can be factorised as follows:The equation x 2 +xy+xz+yz can be factorised as follows:x The equation x 2 +xy+xz+yz can be factorised as follows:x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2 +xy+xz+yz=(x+z)(x+y)Answer:
= (y-1) (xy-z)
Step-by-step explanation:
First we expand them -
= xy^2 - xy - yz - z
= xy(y-1)-z(y-1)
= (y-1) (xy-z)
Hope this helped
PLEASE HURRY!!!
Find the area of the region that is NOT shaded.
Answer: 122 square feet
Explanation:
The larger rectangle has area of 14*15 = 210 square feet.
The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.
The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet
4. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
= Answer should be detailed.
Answer:
The height of the parallelogram is 12 cm.
Step-by-step explanation:
We are given that a triangle and a parallelogram have the same base and same area.
The sides of the triangle measure 26 cm, 28 cm, and 30 cm.
We are given that the base of the parallelogram is 28 cm, and we want to determine its height.
Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:
[tex]\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where a, b, and c are the sides and s is half of the perimeter.
The perimeter is:
[tex]P = (26) + (28) + (30) = 84[/tex]
Hence, s = 42.
Then the area of the triangle is:
[tex]\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}[/tex]
The area of a parallelogram is given by:
[tex]\displaystyle A = bh[/tex]
We are given that the base is 28 cm:
[tex]\displaystyle A = 28 h[/tex]
Its area is equivalent to the area of the given triangle. Hence:
[tex]\displaystyle 336 = 28h[/tex]
Divide:
[tex]\displaystyle h = \frac{336}{28} = 12\text{ cm}[/tex]
In conclusion, the height of the parallelogram is 12 cm.
How do you do 111? Explanation pls
Answer:
B. 2 3/5
Step-by-step explanation:
how i would solve this expression is start out by converting "4 1/3" into an improper fraction.
4 1/3 is equivalent to 13/3
next to find out how much water melissa used we have to multiply 3/5 by our improper fraction giving us this expression:
13/3 x 3/5
solving a fraction is simple, multiply the numerator by numerator,
and denominator by denominator.
so, we will end up with
39/15 or simplified to 2 3/5
hope this helps :D
Solve the system of equations.
y = x2 + 3x - 4
y= 2x - 4
Answer:
The two solutions are
(0,-4) and (-1,-6)
Step-by-step explanation:
The ys have to be equal so you can equate the right hand side.
x^2 + 3x - 4 = 2x - 4 Add 4 to both sides
x^2 + 3x = 2x Subtract 2x from both sides
x^2 + 3x - 2x = 0 Combine
x^2 + x = 0 Factor
x(x + 1) =0
Just to show you that these two points really are the solutions, you can see the graph below
x has 2 values
x + 1 = 0
x = - 1
or
x = 0
Now solve for y
y = 2x - 4
Let x = 0
y = - 4
Let x = - 1
y = 2x - 4
y = -2 - 4
y = - 6
The blue is y = x^2 + 3x - 4
The green line is y = 2x - 4
A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Answer: True
Explanation:
Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.
Need help ASAP!!!Please explain how to solve the problem
Answer:
Step-by-step explanation:
