Answer:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.
Step-by-step explanation:
All sides of a square are equal length.
The area of a square is the side length squared.
perimeter p, side length s, area a, and variable x.
p = 28. s = ? a = x^2 + 4x + 4. x = ?
p = 28
p = 4s.
28 = 4s.
7 = s.
a = s^2.
s = 7.
a = 7^2.
a = 49.
a = x^2 + 4x + 4.
a = 49.
x^2 + 4x + 4 = 49.
factor x^2 + 4x + 4.
(x+2)(x+2) = 49.
(x+2)^2 = 49.
√ ((x+2)^2) = √49.
take positive answer.
x+2 = 7
x = 5.
EASY MATH PLEASE HELP!! : )
I WILL GIVE BRAINLIEST!
QUESTION: find the area of the shaded part.
120
10 x 8 = 80
8 x 5 = 40
80 + 40 = 120
Answer:
is it 40
Step-by-step explanation:
6×10=60. 4×5=20
60-20=40
If 8 bags of grapes cost $20.00, how much do 3 bags of grapes cost?
Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.
How much do 3 bags of grapes cost?Given that;
8 bags of grapes cost $20.00
First, we find how much each bag of grape cost
8 bags = $20.00
1 bag = x
x = $20.00 / 8
x = $2.5
Now, if 1 bag of grapes cost $2.5
3 bags of grapes will cost y
y = 3 ×$2.5
y = $7.5
Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.
Learn more word problems here: brainly.com/question/2610134
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**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?
Answer:
the total payment need to pay is $525
Step-by-step explanation:
Given that
The amount at promissory note issued is $500
The rate of interest is 10%
And, the time period is 180 days
So, the total payment included is
= $500 + ($500 × 10% × 180 days ÷ 360 days)
= $500 + $25
= $525
hence, the total payment need to pay is $525
Guys that true?
when you’re dividing do you put the bigger number first and then the smaller one or the opposite because you get different answers
Answer:
it's true for example 10/5=2 or 5/10=0.5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
You can divide any way you want but commonly you put the bigger number in front.
Step-by-step explanation:
Help me Please and thank you
Answer:
f(3) = -4
Step-by-step explanation:
f(3) = f(2)*-1/2; Solve for f(2) first;
f(2) = f(1)*-1/2
f(2) = -16*-1/2
f(2) = 8;
Now get back to f(3);
f(3) = f(2)*-1/2
f(3) = 8*-1/2
f(3) = -4
What is the slope of the line that passes through the points (3,5) and (-1,5)?
Answer:
slope=y2-y1/x2-x1
=5-5/-1-3
=0/-4
=0
Step-by-step explanation:
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 5)
m = [tex]\frac{5-5}{-1-3}[/tex] = [tex]\frac{0}{-4}[/tex] = 0
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?
A: 17 4/15
B: 17 5/8
C: 18 4/15
D: 5/8
Answer:
C: 18 4/15
Step-by-step explanation:
7 2/3 + 10 3/5
Convert fractions so that they share a common denoninator:
7 10/15 + 10 9/15
17 19/15
18 4/15
i need help ill give brainliest
Answer:
486
Step-by-step explanation:
multiply the length width and height for the surface area
pls mark me brainliest
100 POINTS
which of the following best describes the general situation in post war America
A. low unemployment
B. Great Depression
C. population decrease
D. equality for all
A. low unemployment
I hope this answer helps you...
Help with this one please
Answer:
v= 2
Step-by-step explanation:
[tex]6(5 - 8v) + 12 = -54\\30 - 48v + 12 = -54\\- 48v = - 54 - 30 - 12\\-48v = -96[/tex]
[tex]v = \frac{-96}{-48} = 2[/tex]
[tex]6(5-8v)+12=-54[/tex]
[tex]=30-48v+12=-54[/tex]
[tex]=-48v=-54-12-30[/tex]
[tex]-48v=-66-30[/tex]
[tex]-48v=-96[/tex]
[tex]-v=-96/48[/tex]
[tex]v=2[/tex]
-----------------------
hope it helps...
have a great day!!
help grade 10 math,,,?????????????
Answer:
7 no =option B
8 no =option
9 no=option D
10 no=option c
Step-by-step explanation:
helppppppp no links or anything, please give the answer
Answer:
Step-by-step explanation: the answer is x^2+10x+21
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?
Answer:
$0.3
Step-by-step explanation:
8.90x2=17.8
1.75x2=3.5
17.8+3.5=21.3
21.90-21.3=0.6
0.6/2=0.3
You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
Lesson 4: If - Else is covered in the video below. Click play on the first video to start the lesson. This lesson includes programming, so be sure to pause the videos to edit and write code in the programming environment when prompted.
Download the slides used in the videos below if you'd like to follow along.
Wait… what lesson? I am confused :/
A model of a sailboat is 3 inches wide and 12 inches high. If the actual sailboat is 9 feet wide, what is the height?
Answer:
36 FEET
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
scale = 9 / 3 = 3
1 inch : 3 feet
Actual height = 12 x 3 = 36
whats the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
a^2+2^2=7^2
a^2+4=49
a^2=49-4
a^2=45
a=[tex]\sqrt{45}[/tex]
a=3[tex]\sqrt{5}[/tex]
a=6.7
Find the exact value, without a
calculator.
710
6
sin
2
tan
12
6
2
7Tt/6
COS
Answer:
[tex]-2 -\sqrt{3}[/tex]
Step-by-step explanation:
First consider numerator
[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : sin (A + B) = sin A cos B + cos A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]
Second consider denominator
[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : cos (A + B) = cos A cos B - sin A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]
Therefore,
[tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]
[tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]
Either we can stop here or Rationalize the denominator:
[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. The cost of a student ticket is s and the cost of an adult ticket is a. The tickets Mr. Fox orders are for the students and teachers from 2 classes that he is taking to the museum. Each class pays for the same number of student tickets and each class pays for the same number of adult tickets. Write 52s + 2a as the product of the number of classes and the total cost per class. Use the number pad, a, and s to enter your answers in the boxes.
PLEASE DO NOT SEND ANY FAKE LINKS
thank you
Answer:
52·s + 2·a = [2] × ([26·s] + [a])
Step-by-step explanation:
The number of classes Mr. Fox takes to the museum = 2 classes
The number of tickets Mr. Fox orders = The number of students and teachers in the two classes
The number of students paid for by one of the classes = The number of students paid for by the other class
The number of adult paid for by one of the classes = The number of adult paid for by the other class
The expression for the total cost of the ticket is 52·s + 2·a
Let 'c' represent the total cost for each class
Therefore, given that each class pays for the same number of students and adults, we have;
2 × c = 52·s + 2·a
∴ c = (52·s + 2·a)/2 = 26·s + a
Therefore, given that we have 2 classes, we get;
52·s + 2·a = 2 × (26·s + a)
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
3/2
-2/3
2/3
- 3/2
Answer:
-3/2
Step-by-step explanation:
Please help I need it in 5 minutes
This is a grade pls help asap i need tye answer quickly.
Answer:
the first question I think yes cause the second one says that there is y line
the y intercept is 9
8 less then the product of 7 and -3
Answer:
im not exactly sure what you mean but is it
8 < 4
sorry if this didn't help
Step-by-step explanation:
Answer:
-29
Step-by-step explanation:
7(-3) - 8 = -21 - 8 = -29
2 laundry company one time fee
Answer:
Step-by-step explanation:
I am sorry but what is this suppose to be asking
easy algebra question below first correct answer gets brainliest
Please help me with this
Step-by-step explanation:
angle 6 = 61° (definition of vertical angles)
angle 3 = 61° (definition of alternate interior angles)
angle 1 = 61° (definition of vertical angles)
angle 7 = 119° (definition of supplementary angles)
angle 5 = 119° (definition of supplementary and vertical angles)
angle 4 = 119° (definition of consecutive interior angles)
angle 2 = 119° (definition of vertical angles)
Harold found a job through a friend that works in HR for a large company. The job pays a yearly salary of $39K. What is the weekly salary based on this annual salary?
Answer:
Weekly salary of Harold = $750 (Approx.)
Step-by-step explanation:
Given:
Annual salary of Harold = $39K = $39,000
Find:
Weekly salary of Harold
Computation:
Number of weeks in a year = 365 / 7
Number of weeks in a year = 52.1425
Number of weeks in a year = 52 week (Approx.)
Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year
Weekly salary of Harold = 39,000 / 52
Weekly salary of Harold = 750
Weekly salary of Harold = $750 (Approx.)
help with full calculations
Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
__
3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.