Answer:
35
Step-by-step explanation:
The area of given figure is, 35 meter².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, We know that;
⇒ Area of rectangle = Length × Width
So, The area of figure is,
⇒ 9 × 3 + (7 - 3) × 2
⇒ 27 + 4 × 2
⇒ 27 + 8
⇒ 35 meter²
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The measure of an angle is 35.4°. What is the measure of its supplementary angle?
Answer:
144.6°
Step-by-step explanation:
180-35.4
144.6°
Answer:
144.6
Step-by-step explanation:
Supplementary angles add to 180
Let x be the unknown angle
x + 35.4 = 180
Subtract 35.4 from each side
x = 180-35.4
x =144.6
A line passes through the point (-6,4) and has a slope of 3/2. Write an equation in point slope form for this line.
Answer:
y-4=3/2(x+4)
Step-by-step explanation:
If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).
Answer: y=3/2x+13
Step-by-step explanation: y-4=3/2(x-(-6))
y-4=3/2x+9
y=3/2x+13
If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.
Answer:
hope it helps...
Step-by-step explanation:
25/100 x 79
= 19.75
= 79 - 19.75
= $59.25 (before tax)
7/100 x 59.25
= 414.75/100
= 4.15
= 59.25 + 4.15
= $63.4 (after adding tax)
First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.
Suppose b is an integer. If b mod 12 = 5, what is 8b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 8b is divided by 12
Answer:
8 b mod 12 is equal to 4.
Step-by-step explanation:
Use Dividend = Divisor × Quotient + Remainder
As b mod 12 = 5 (that is division of b by 12 gives a remainder of 5)
[tex]b=12k+5[/tex]
Here, k is any integer.
Multiply both sides of [tex]b=12k+5[/tex] by 8
[tex]8b=8(12k+5)\\8b=8(12k)+40[/tex]
write 40 in terms of 12
[tex]40=36+4=12(3)+4[/tex]
[tex]8b=8(12k)+12(3)+4\\8b=12(8k+3)+4[/tex]
Therefore,
8 b mod 12 is equal to 4.
Melissa buys an iPhone for $240 and gets consumer surplus of $160. What is her willingness to pay?
Answer:
$400 = $240 + $160
Step-by-step explanation:
if 5x-7=13, what is the value of 10x-14
Answer:
10x-14=26
Step-by-step explanation:
x = 4
10 x 4 = 40
40 - 14 = 26
Answer:
26
Step-by-step explanation:
In order to answer this question, we must first find what x equals, so we need to solve for x in the equation 5x - 7 = 13:
5x - 7 = 13
+7 +7
5x = 20
/5 /5
x = 4
Now, we plug in 4 for 'x' in the equation 10x - 14:
10(4) - 14 =
40 - 14 =
26
So, 10(4) - 14 = 26
Hope this helps :)
solve 3x+11=k for x
a. x=k-11
b. x= k+11/3
c. x= k-11/3
d. x= 3k-11
A CLASS OF 28 STUDENTS HAS 12 GIRLS.WHAT IS THE RATIO OF GIRLS TO BOYS
Answer:
3:7
Step-by-step explanation:
thats the ratio simplified
Answer:
12:16
Step-by-step explanation:
Can someone help me with this??
Answer:
Step-by-step explanation:
Let the number of weeks = x
4*2.54 + 4x = growth for A
10*2.54 + 1*x= growth for B
So they will be the same when the 2 left sides are equated.
10.16 + 4x = 25.5 + x Subtract 10.16 from both sides
4x =25.5-10.16 + x Combine
4x = 15.34 + x Subtract x from both sides.
4x-x = 15.34
3x = 15.34 Divide by 3
x = 15.34/3
x = 5.11
So the answer is just a little over 5 weeks.
Divide (3x^5-7x^3+5x^2+x-5)/(x^2-1)
What's the lateral area of the following cone?
Answer:
Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .
Step-by-step explanation:
I tired??? sorry if it's wrong???
simplify
(x+4)−(x−1)
Answer:
5Step-by-step explanation:
[tex](x+4)−(x−1)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=x+4-\left(x-1\right)\\\\-\left(x-1\right):\quad -x+1\\=x+4-x+1\\\\\mathrm{Simplify}\:x+4-x+1:\\\quad 5\\\\[/tex]
Marco need to buy some dog food.at the nearest store,3 bags of dog food costs $10.50.How much would Narco spend on 5 bags of dog food?
Answer:
17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
$10.50÷3 = 3.50
3.50×5 = 17.50
Can someone pls help me?!?
Answer:
288
Step-by-step explanation:
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
QUICK WHATS 1 + 1 WRONG ANSWERS ONLYY
Answer:
5
Step-by-step explanation:
Because Math is Math smh
Answer:
Glizzy
Step-by-step explanation:
it tastes good
−5 1/5÷(2/3) help plz
Answer:
−5 1/5÷(2/3)≈-7.8
2. The length of time � necessary to complete a key operation in the construction of houses has an exponential distribution with mean 10 hours a. How long do you expect the key operation to take? b. What is the probability the key operation will take less than 24 hours? c. What is the probability the key operation will take at least 5 hours? d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours? e. What do you notice about your answers to part c and part d? What is this property called?
Answer:
This question has been solved in the attachment I added to the answer. Please try to follow the calculations. If you have any questions you can drop it on the comment section.
a. How long do you expect the key operation to take?
The operation would take 10 minutes
b. What is the probability the key operation will take less than 24 hours
= 0.909285 or 0.909
c. What is the probability the key operation will take at least 5 hours?
= 0.606
d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours?
0.6065
e. What do you notice about your answers to part c and part d?
Part c an d have the same values.
12/15 = 8/k k = ? Please helppp
Answer:
10
Step-by-step explanation:
you can cross multiply.
[tex]\frac{12}{15}=\frac{8}{k}[/tex]
after you cross multiply:
12k=120
k=10
the question is “A ____ followed by a ____.”
Answer:
confused
Step-by-step explanation:
Answer: A man followed by a cop
Find the distance between the two points rounding to the nearest tenth (if necessary),
(5,-4) and (0,8)
Answer:
13
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
The distance formula between two points is:
[tex]c = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Our points are as follows -
[tex]x_2 = 0, x_1 = 5\\y_2 = 8, y_1 = -4[/tex]
If we plug them in:
[tex]c = \sqrt{(0 - 5)^2 + (8 - (-4))^2}[/tex]
All we need to do now is simplify
[tex]c = \sqrt{(-5)^2 + (12)^2}[/tex]
[tex]c = \sqrt{25 + 144}[/tex]
[tex]c = \sqrt{169} = 13[/tex]
The oakville high school marching band band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll.The band needs to earn $2500 for an upcoming competition. If the bad Sells 325 rolls of printed paper,write and solve a linear equation to find the number of solid paper they must sell
Change each percent to a decimal or a mixed decimal
43%
2 1/2%
13.6%
521%
What are the features of the quadratic function f(x) = x^2 + 10x + 21?
A) Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -5
B)
Vertex = (5,4), y-intercept = (0,-21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = 5
C)
Vertex = (-4,-5), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -4
D)
Vertex = (-5,-4), y-intercept = (21,0), x-intercepts = (3,0) and (7,0), axis of
symmetry is x= -5
The features of the quadratic function f(x) = x^2 + 10x + 21 are Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5 so option (A) will be correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example 3x² + 6x + 8 = 0 here x has highest term as 2 and coefficient of x² is not zero.
The standard form of a quadratic equation is ax² + bx + c
The x vertex is given -b/2a
So,
x-vertex = -10/2 = -5
So y = (-5)² + 10(-5) + 21 = -4
So vertex is (-5, -4)
The Y-intercept is given as (0,y)
So,
y = 21
Therefore
y-intercept = (0,21)
the x-intercept is given as (x,0)
So,
x = -7 , -3
Therefore
x-intercepts = (-7,0) and (-3,0)
The Axis of symmetry is given by -b/2a
So,
⇒ -10/2 = -5
Hence "Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5".
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Find the value of y.
(12x + 9)
(8x + 11)º
(14y + 7)o
Answer:
y = 7
Step-by-step explanation:
First, find the value of x.
[tex] (12x + 9) + (8x + 11) = 180 [/tex] (linear pair)
Solve for x
[tex] 12x + 9 + 8x + 11 = 180 [/tex]
Collect like terms
[tex] 12x + 8x + 9 + 11 = 180 [/tex]
[tex] 20x + 20 = 180 [/tex]
Subtract 20 from both sides
[tex] 20x + 20 - 20 = 180 - 20 [/tex]
[tex] 20x = 160 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{160}{20} [/tex]
[tex] x = 8 [/tex]
Thus,
[tex] (12x + 9) = (14y + 7) [/tex] (vertical angles)
Plug in the value of x, and solve for y
[tex] 12(8) + 9 = 14y + 7 [/tex]
[tex] 96 + 9 = 14y + 7 [/tex]
[tex] 105 = 14y + 7 [/tex]
Subtract 7 from each side
[tex] 105 - 7 = 14y + 7 - 7 [/tex]
[tex] 98 = 14y [/tex]
Divide both sides by 14
[tex] \frac{98}{14} = \frac{14y}{14} [/tex]
[tex] 7 = y [/tex]
7. A group of 140 tourists are going on a tour. The tour guide rents
15 vans. Each van holds 9 tourists.
Part A
Write a division problem that can be used to find the number of
vans needed to carry the tourists. Then solve.
Answer:
16
Step-by-step explanation:
140 divided by 9 = 15.5
you need 16 vans to hold 140 tourists
What is the greatest number of rìght angles that a triangle can contain?
Answer:
1
Step-by-step explanation:
If there are 2 or more right angles in a triangle, it is impossible to connect without a fourth side, making it a square. There can only be 1 right angle in a triangle
Answer:
There can Only be 1 Right angle in a Triangle!
Step-by-step explanation:
Triangles have 180 degrees in total, If You had Two Right Angles, Then it would equal 180, since there is three angles,three sides and etc on a triangle that won't work. In a Triangle you could have 1 right angle and Two 45 degree angles to get your total of 180 degrees and a complete Triangle!!
a) Work out the value of 5^2-1^5 x 2^4
Answer: 9
Step-by-step explanation
-1.8 + (2.1) show ur work
Answer:
0.3
Step-by-step explanation:
Simplify: -1.8 + 2.1-1.8 + 2.1 = 0.3I hope this helps!
m
7=
2+3
Show some work
Answer:5?
Step-by-step explanation:2+3 is 5 unless your doing some other math?
i will give 20 pts
plz halp-
Answer:
sorry
Step-by-step explanation:
Answer:
It's dez
Step-by-step explanation:
Ask me what's dez