Answer:
53° and 127°
Step-by-step explanation:
180 - 74 = 106
106/2 = 53
53 + 74 = 127
127 + 53 = 180
Need help asap!
the area of a rectangular patio is 105 ft2. The length of the patio is 8 ft longer than the width of the patio. This can be represented by the equation w2 + 8w - 105 = 0. What is the width of the patio in feet?
Answer:
7 ft
Step-by-step explanation:
the area of a rectangle is
length × width
in our case
length × width = 105 ft²
and we know
length = width + 8
that identity we can use in the area equation and get
(width + 8) × width = 105
width² + 8width = 105
width² + 8width - 105 = 0
and that is how your teacher got the equation
w² + 8w - 105 = 0
the general solution for such a quadratic equation is
w = (-b ± sqrt(b² - 4ac))/(2a)
with our equation
a = 1
b = 8
c = -105
w = (-8 ± sqrt(8² - 4×1×-105))/(2×1) =
= (-8 ± sqrt(64 + 420))/2 = (-8 ± sqrt(484))/2 =
= (-8 ± 22)/2 = -4 ± 11
w1 = -4 + 11 = 7
w2 = -4 - 11 = -15
negative values/ solutions for side lengths of shapes don't make sense, so the only valid solution is w = 7 ft
The width of the rectangular patio in feet is equal to -15 or 7 feet.
Let the length of the rectangle be L.Let the width of the rectangle be W.Given the following data:
Area of a rectangular patio = 105 [tex]ft^2[/tex].[tex]L=W+8[/tex]How to calculate the area of a rectangle.Mathematically, the area of a rectangle is given by the formula;
[tex]A=LW[/tex]
Substituting the given parameters into the formula, we have;
[tex]W^2 +8W-105=0\\\\W^2 +15W-7W-105=0\\\\W(W+15)-7(W+15)=0\\\\(W+15)(W-7)=0[/tex]
Width, W = -15 or 7 feet.
Read more on area of a rectangle here: https://brainly.com/question/25292087
what is the negation of the statement "all summer days are muggy"
Answer:
What is the negation of the statement?
In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”.
Step-by-step explanation:
Suta purrachina za waurdo
BRAINLIEST THANK YOU QUESTION ON PIC ARE THE TRIANGLES BELOW ACUTE OBTUSE OR RIGHT???
Answer:
Triangle A: Acute
Triangle B: Obtuse
Triangle C: Acute
Triangle D: Right
Step-by-step explanation:
Right angle: 90°
Acute angle: 0°-90°
Obtuse angle: 90°-180°
QUESTION ON PIC !THX
Answer:
Step-by-step explanation:
The original price was 43 dollars
The new price is 55/100 * 43
The new price is 2365/100
The new price is 23.65 dollars
2365 came from multiplying 43 * 55 which is 2365
10
Solve for X:
S
9x-3
С
Р.
R
124°
Q
197
Answer:
sum of 6
Step-by-step explanation:
MAke it count
The graph shows the system of which two equations
Answer:
u need to provide graph
Step-by-step explanation:
we cant solve it
Please help me answer this question ASAP
Answer:
60 km
Step-by-step explanation:
the line is constant around 3
what statement best describes the term 25x?
Answer:
its B
Step-by-step explanation:
PLZ HELP ME ILL MARK BRAINLIETS
Help with this please
Answer:
The top left one.
Step-by-step explanation:
It would be the top left one since the graph starts at the 10 mark and 10 is the y intercept.
Solve the right triangle. Round to the nearest degree and nearest tenth of a unit. What is the right angleV?
Answer:
m∠V ≈ 61°
Step-by-step explanation:
The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(V) = XW/XV = 7/8
The inverse sine function is used to find the angle:
V = arcsin(7/8) ≈ 61°
What is the slope and Y intercept of the equation X=10
Answer:
Slope is undefined and y int does not exist
Step-by-step explanation:
x=10 means it will be a vertical line where x= 10 so the slope is undefined and since it is perfectly vertical, it will never touch the y axis.
What is the median of the following numbers?
3, 5, 6, 7, 9, 6, 83,5,6,7,9,6,8
leonardo read that his reptile food should be given at a temperature of 72.5°F. He keeps the food in the freezer at –4°F. He has found that if he sets the food on his reptile’s hot rock, the temperature rises 8.5 degrees each hour. How many hours will it take for the reptile food to reach 72.5°F?
Answer:
9 hours
Step-by-step explanation:
What is the mean of these
numbers?
8, 12, 24, 13,4
Answer:
12.2
Step-by-step explanation:
Mean = average
8 + 12 + 24 + 13 + 4 =
61
61 / 5 =
12.2
Answer:
12.2
Step-by-step explanation:
Mean is the average number in a data set.
To find the mean:
Add up every data value in the data set.Divide by the total amount of data values.Add every data value:
8 + 12 + 24 + 13 + 4 = 61
Divide 61 by 5:
61 / 5 = 12.2
12.2 represents the mean of this data set.
state the value of
[tex] \tan(60°) + \cot(60°) [/tex]
rationalise the denominator if needed !
thankyou ~
Answer:
[tex]tan(60)+cot60)\\\sqrt{3} +\frac{1}{\sqrt{3} } \\\frac{3+1}{\sqrt{3} } \\\frac{4}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } \\\frac{4\sqrt{3} }{3}[/tex]
Hope it will help you a lot.
Step-by-step explanation:
Answer:
[tex]\dfrac{4\sqrt3}{3}[/tex]
Step-by-step explanation:
[tex]\pink{\frak{Given }}\Bigg\{ \sf \tan(60^o) + \cot(60^o)[/tex]
And we need to find out the value of given expression . As we know that the value of ,
[tex]\sf \longrightarrow tan 60^o = \sqrt3 [/tex]
And ,
[tex]\sf \longrightarrow cot 60^o = \dfrac{1}{tan60^o}=\dfrac{1}{\sqrt3} [/tex]
Substituting the values in the given expression ,
[tex]\sf \longrightarrow tan 60^o + cot 60^o\\[/tex]
[tex]\sf \longrightarrow \sqrt3 +\dfrac{1}{\sqrt3}\\ [/tex]
Take LCM as √3 and simplify ,
[tex]\sf \longrightarrow \dfrac{(\sqrt3)(\sqrt3) +1}{\sqrt3}\\[/tex]
Simplify ,
[tex]\sf \longrightarrow \dfrac{3+1}{\sqrt3}=\dfrac{4}{\sqrt3} [/tex]
Rationalize the denominator by multiplying numerator and denominator by √3 .
[tex]\sf \longrightarrow \dfrac{(4)(\sqrt3)}{(\sqrt3)(\sqrt3)} [/tex]
Simplify by multiplying ,
[tex]\sf \longrightarrow \boxed{\bf \dfrac{4\sqrt3}{3}} [/tex]
The number of seats at hard rock stadium is fixed at 70,000. Suppose the team raises the price of a ticket from $30, at which 70,000 are sold, to $40, and it sells 60,000 tickets. The price change would cause a change in consumer surplus of?
Answer:
The correct answer is "(B) -$700,000; $0; $0".
Step-by-step explanation:
The tax caused a change in the consumer surplus of $-700000, a change in the producer surplus of $0, and a deadweight loss of $0.
The change in consumer surplus is due to the $ 10 increase lost by consumers (10 x 70000 = 70000).
The rest does not vary because management decided to raise the price of the product, instead of bearing the tax.
5. Which of the following situations could be solved using the equation 3m + 5 = 11? Select two
that apply.
A. Mr. Thomas bought 3 sets of paintbrushes for the art class. Mrs. Hamby bought 5 single
paintbrushes, bringing the total number of new brushes to 11. How many paintbrushes were in
each set Mr. Thomas bought?
B. Samantha received 5 more birthday gifts last year than this year. If she received a total of 11
gifts this year, how many did she receive last year?
C. During the month of June, Ashley noticed that the tulips in her garden grew 3 times faster
than the daisies and 5 times faster than the roses. If the daisies grew a total of 11 centimeters,
how many centimeters did the tulips grow? O
D. An adult sea turtle can swim underwater 5 yards farther than 3 times the distance a baby sea
turtle can swim. If an adult can swim a total of 11 yards before coming up for air, how many
yards can a baby swim? O
Answer:
2
Step-by-step explanation:
Box in your 3m. Subtract 5 from both sides. You get 6. Now, divide 6 by 3 which is boxxed and you get 2.
Answer:
B and A should be the answer I believe because 3m+5=11 which would be 11-5 because you have to change 5 from a positive and that would equal 6 and 6 divide by 3 is 2.
Find the area of the quadrilateral DEFG.
Answer:
it's 56 because you times 8 and 7 together. I think
Shania wants to purchase a book bag with an original price of $28.00. She also bought a necklace for $35.75. There is a storewide sale of 20% off and a tax of 7%. What would be the total price after discount and tax?
A.
$54.57
B.
$68.21
C.
$51.00
D.
$63.75
Answer:
Step-by-step explanation:
factorise fully 6x² - 16x
Dr. Williams did an experiment where she gave half of her participants alcohol and half of her participants no alcohol. She then measured how long each participant could balance on one leg. The participants who received no alcohol are
Answer:
the control
Step-by-step explanation:
sh==Dr has to have something to compare the subjects to
Ten-twelfths of a wall is covered in a mural. Six-eighths of the mural is painted green. What fraction of the wall is painted green?
Answer:
so what we are trying to figure out is 10/12*6/8=x
x is the fraction of the wall that is painted green which is 5/8
Step-by-step explanation:
instead of using division, I used multiplication. 5/8 of the wall is green
what’s the solution?
Answer:
a> -21 1/3
Step-by-step explanation:
I hope it helped
WHO HERE IS SMART IN MATH???
Answer:
I am here .........I am Albert Einstein grand son .......
I am very smart in math toooo.....
Answer:
why?
Step-by-step explanation:
do you need any help?
What is the value of 3n + 2 when n = 4?
Answer:
14
Step-by-step explanation:
3(4)+2=
12+2=
14
Sister’s recipe needs 6 eggs to make 5 pancakes. If you want to make 20 pancakes for your family using her recipe,how many eggs will you need?
Answer:
Sister’s recipe needs 24 Eggs to make 20 pancakes for your family.
Is this graph a function or not a function?
Answer:
It is a function.
Step-by-step explanation:
You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.
This is the table for the graph.
[tex]\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right][/tex]
Remember these rules:
Each x value, or input, has its unique y value, or outputIf you draw a vertical line anywhere on the graph, it should only go through one pointWe can check these two rules for this graph:
Does each x value have its own, unique y value? YesIf you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlapsKeep in mind that two different x-values can have the same y value.
Figure 1:
It has two x values with the same y-values.
Figure 2 and 3:
The vertical line goes through two points. So the same x-value has two different y-values.
-Chetan K
Here are some equations that all have the same solution.
Explain how you know that each equation has the same solution as the previous equation.
Equation 1: x = -6
Equation 2: x - 3 = -9
Equation 3: -9 = x - 3
Equation 4: 900 = -100(x - 3)
Equation 5: 900 = (x - 3)
⋅
⋅
(-100)
Equation 6: 900 = -100x + 300
Answer:
Because you are using x which equals to -6.
SOLVE ASAP Point theif = ban!
Answer:
x-25y-50
Step-by-step explanation:
simplifying an expression means getting rid of the parantheses and writing it in the simplest form
5([tex]\frac{1}{5} x-5y-10)[/tex]=
[tex]5*\frac{1}{5} x-5*5y-10*5\\x-25y-50[/tex]
Answer:
[tex]x-25y-50[/tex]
Step-by-step explanation:
[tex]5\left(\frac{1}{5}x-5y-10\right)[/tex]
[tex]5\cdot \frac{1}{5}x-5\cdot \:5y-5\cdot \:10[/tex] .......multiply 5 with everything inside the bracket
[tex]x-25y-50[/tex] ...........final answer.
