Answer:
360
Step-by-step explanation:
20.3 x 6
21. You place a mat around a 25 in by 21 inch painting as shown. The mat
is twice as wide at the left and right of the painting as it is at the top an
bottom of the painting. The area of the mat is 714 square iinches (note:
the area of the border). How wide is the mat at the left and right of the
painting? At the top and bottom of the painting? (P.264 #66)
Using a quadratic equation according to the area of the rectangular mat, it is found that:
At the top and bottom of the painting, the width is 0.654 inches.At the left and right of the painting, the width is of 1.308 inches.The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
The length of the figure is of [tex]l = 25 + 4x[/tex].The width of the figure is of [tex]w = 21 + 2x[/tex].Area of 714 square inches, thus:[tex]lw = 714[/tex]
[tex](25 + 4x)(21 + 2x) = 714[/tex]
[tex]8x^2 + 134x + 525 = 714[/tex]
[tex]8x^2 + 134x - 189 = 0[/tex]
Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].
The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.
[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]
[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]
[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]
We are interest in the positive value of x, so x = 0.654.
At the top and bottom of the painting, the width is of 0.654 inches.[tex]2(0.654) = 1.308[/tex]
At the left and right of the painting, the width is of 1.308 inches.A similar problem is given at https://brainly.com/question/14099239
In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry
Tia went to the Farmers
Market and bought 6
pineapples for $3.49
each. How much money did
Tia spend?
Answer:
20.94$
Step-by-step explanation:
3.49x6 since Tia bought 6 pineapples and they cost 3.49 each and it equals 20.94$. So to buy 6 pineapples at the farmers market it cost 20.94$.
find the slope of (-1,3) and (-5,7)
Answer:
-4/4 = -1
Step-by-step explanation:
yeah-ya...... right?
Question 3 of 10 Classify the following triangle. Check all that apply. 70° 15.8 8 80" 30 15 O A. Equilateral B. Obtuse C. Isosceles D. Right E. Acute F. Scalene
Answer:
the answer F or D
Step-by-step explanation:
Hey, how are you?
I am trying to do 100 points for you guys just saying how you are daily!
Answer:
My day has been pretty okay!!
Step-by-step explanation:
Thank you for asking!!
Answer:
My day is going alright. Though, I am a bit stressed out since I am currently studying for an upcoming test.
You have a bag filled with different colored poker chips. In the bag, there are 5 red chips, 16 grey
chips, 4, black chips, 7 blue chips, and 13 green chips. What is the ratio of the number of total chips to
the number of red AND blue chips
Answer:
45:12
Step-by-step explanation:
5 + 16 + 4 + 7 + 13 = 45
5 (red) + 7 (blue) = 12
I need help asaapppp
find the value of x and y
will give brainiest
Answer:
[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]
Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon
Answer:
6.75
Step-by-step explanation:
First, I just gave you the answer.
Second, just use it.
PLEASE HELP ITS MATH THANK YOUUUU
10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line
Order of operations
6 + 24 ÷ 3-2
Answer:
12
Step-by-step explanation:
(6+24÷3)−2
(6+8)−2
14−2
12
Answer:
12
Step-by-step explanation:
I have 2 cupcakes but Jake has 7/4 as many as I do
What is the answer to 0.2x10=
0.2 × 10 = 2
u can check a calculator
Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1
The only set of side lengths that can form a triangle is 9, 4, 8.
Option A is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check if each of the given sets of side lengths satisfies this condition:
A.
9, 4, 8
9 + 4 > 8 ✓
9 + 8 > 4 ✓
4 + 8 > 9 ✓
All three inequalities are true, so these side lengths can form a triangle.
B.
14, 7, 6
14 + 7 > 6 ✓
14 + 6 > 7 ✓
7 + 6 > 14 ✗
The last inequality is false, so these side lengths cannot form a triangle.
C.
3, 8, 1
3 + 8 > 1 ✓
3 + 1 > 8 ✗
8 + 1 > 3 ✓
The second inequality is false, so these side lengths cannot form a triangle.
Therefore,
The only set of side lengths that can form a triangle is A. 9, 4, 8.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
detailed explanation and answer please 20 points
Step-by-step explanation:
The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76
So the answer is the bottom one. P=76 and A=330
what is the ratio of hearts to suns write your answer in simplest form for example 8:6 is equivalent to to 4:3
Step-by-step explanation:
this is the answer
please follow me and mark me as a brainlist
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]
Answer:
option D is the right answer
please mark this answer as brainlist
What is a general rule for simplifying expressions like x^a .x^b? where does this rule
comes from
8.) Sophia counter offered with $35,000 for 25% of her company, How much does
she think her company worth? (Hint, Use a proportion to find what 100% of her
company is worth)
% 25%-100%
$ 35,000
Answer: $ 140,000
Step-by-step explanation:
It was recently estimated that homes without children outnumber homes with children by about nine to seven. If there are 4912 homes in a county, how many of them
are homes without children
Answer:
Answer:929
Step-by-step explanation:
Step-by-step explanation:For every 11 children, 7 will have homes
Please help me help please help
Answer:
-2
Step-by-step explanation:
2/(-1) = -2
rise is 2
run is -1 ( to the left)
If 1/4 of a gallon is enough for 1/3 of a room, how much paint would you need to paint four rooms?
Answer:
you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons
I am stuck, please help
Answer:
2323
Step-by-step explanation:
Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.
The question says there are 23 classes and each class is to collect 101 items.
The equation would be 23 x 101.
To do this in your head real quick, make the numbers easier to multiply.
Make the 101 items 100. That means you are telling each class to collect 1 less item or 23 less items total.
You can do this in your head real quick. 23 classes collecting 100 items is 2300 items.
You had each class collect 100 items instead of 101. That mean you didn't collect 23 items. So if you add those back in, you will get
2323 items.
Ms Patel took 3 hours and 30 minutes to drive a distance of 140 miles
Answer:
1.5 miles per hour
Step-by-step explanation:
3 hour and 30 minutes is equal to 210 minutes
then you divide the minutes by the miles and that give you 1.5 miles per hour
The Four-Digits Problem
Use the digits 1, 2, 3, and 4 to write expressions for the numbers
1 through 50. Each digit is used exactly once in each expression.
(There might be more than one expression for a given number.)
You can use addition, subtraction, multiplication and division, factorial, absolute
, exponents, and parentheses in any way you wish.
Answer:
praktik ko yctgv hujan hu bule
165÷11
I'm not sure sure I had got R15
Answer:
165/11= 15
Step-by-step explanation:
I used a calculator
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
Let variable a be a real number. Find the range of values of a such that the equation f(x) = g(x) has two different solutions.
***The answer should be -2 < a < 4, but I don't know why.
Step-by-step explanation:
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
f(x) = g(x)
x² + 2ax + a² - a = 4 - x²
2x²+2ax+a²-a -4 =0
the equation has two different solutions
=> (2a)² - 4(2)(a²-a-4) > 0
4a²-8a²+8a +32 >0
-4a²+8a+32 > 0
a²-2a-8 >0
(a-4)(a+2) < 0
the answer should be
-2 < a < 4
11 4/5 + 3 5/6 and you have to add
Answer:
15 19/30
Step-by-step explanation:
