Answer:
Perimeter of trapezoid = 25.66 cm
Step-by-step explanation:
Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.
By applying Pythagoras theorem in ΔABF,
AB² = BF² + AF²
AB² = 4² + 3²
AB = [tex]\sqrt{16+9}[/tex]
AB = 5 cm
Similarly, By applying Pythagoras theorem in ΔCDE,
CD² = DE² + CE²
CD² = 4² + 4²
CD = [tex]\sqrt{32}[/tex]
CD =5.66 cm
Perimeter of the given trapezoid = AB + BC + CD + AD
= 5 + 4 + 5.66 + (3 + 4 + 4)
= 25.66 cm
Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x ) = − 3 ( x + 5 ) 2 − 1
Answer:
Step-by-step explanation:
[tex]y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)[/tex]
Points A,B and C are circle P
What is the M ACB?
A certain man has a negative balance of P250 in his back account b) suppose he deposits P300 in his back account ,what is the current balance in his account?
Answer: $50
Step-by-step explanation:
From the question, we are informed that a certain man has a negative balance of P250 in his back account and that he then deposits P300 in his back account.
The current balance in his account? will then be gotten by adding the negative balance of $250 to the $300 deposited. This will be:
= -$250 + $300
= $50
Therefore, his current balance will be $50
Plz Help me!!!
will mark brainliest!!
Answer:
3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²
2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²
x² * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²
6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²
Step-by-step explanatation:
Let's set unknown variables as y (and y₁, y₂, etc)
Question 1:
y * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²
So, divide both sides by (6x² + 4x - 8)
y = 3x²
Question 2:
2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '
Divide both sides by 2x.
(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x
y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12
Question 3:
x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²
Divide both sides by (18x² + 12x - 24)
x^y = x²
Question 4:
y₁ * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²
Divide both sides by (3x² + 2x - 4)
y₁ * x^y₂ = 6x²
y₁ = 6, y₂ = 2
I hope this helps! Feel free to ask any questions!
The wholesale price of a special speaker was $64. It was then marked up 85% and sold online. What was the online price?
PLEASE HELP ME SOLVE THIS!
GIVING ALL MY POINTS!
Someone help and please make sure it’s right :)
Answer:
15x+8=180-97 , solve for x and u shall get the answer
Answer:5
Step-by-step explanation:
Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.
plz help me brainless
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Given function:
3/4 take away 2/4Subtract the two fraction:
[tex]\frac{3}{4}-\frac{2}{4}=\frac{1}{4}[/tex]Therefore, the fraction that is left would be 1/4..
DESPERATE WILL GIVE BRAINLIST AND THANKS
Use the data to create a scatter plot.
Weight vs. Stretch Distance
PointMove
UndoRedoReset
Stretch distance (cm)Weight (N)
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
0
Stretch distance (cm)
Weight (Newtons)
2.0
1
3.5
2
4.0
2
4.5
3
5.5
5
6.0
6
7.5
8
9.0
9
(plz show the graph picture with the answer)
Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.
Step-by-step explanation:
pls help ill give brainliest to the PERSON WHO GETS IT RIGHT
Answer:
C) [tex]s\geq 5[/tex]
Step-by-step explanation:
The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.
Hope it helps!
HELP ASAP PLS ME AND MY TEACHER ARE ON A 1 ON 1 CALL
MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:
If you spent 58 minutes doing English homework and 47 minutes doing math homework how much more time did you need to spend doing English homework?
Answer:
58 minutes
Step-by-step explanation:
Please brainliest me
There are 11 minutes more time to spend doing English homework.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
If you spent 58 minutes doing English homework and 47 minutes doing math homework.
Now,
Since, The time for doing English homework = 58 minutes
And, The time for doing Math homework = 47 minutes
So, The time more to spend doing English homework = 58 - 47
= 11 minutes
Thus, There are 11 minutes more time to spend doing English homework.
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Use the figure below to solve for the value of x.
Given:
A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.
To find:
The value of x.
Solution:
From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.
Length of altitude = 18
If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.
By using geometric mean theorem, we get
[tex]18=\sqrt{x\times 8}[/tex] [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]
[tex]18^2=8x[/tex]
[tex]324=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{324}{8}=x[/tex]
[tex]40.5=x[/tex]
Therefore, the value of x is 40.5.
If each of the numbers in the following data set were multiplied by 26, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36
O A. 728
OB. 520
O C. 936
O D. 676
Answer:
Step-by-step explanation:
728 answer is C
Yolanda reads 7 1/2 chapters in 3 1/8 hours. What is the unit rate in chapters per hour? Write your answer as a fraction or a mixed number in simplest form.
Answer:2.4 chapters
Step-by-step explanation:
Evaluate the logarithm.
log 0.00001
The logarithm base 10 of 0.00001 is -5.
The logarithm of 0.00001 can be evaluated using the base 10 logarithm, commonly denoted as log10.
In this case, log10(0.00001) is asking "What power of 10 gives us 0.00001?"
To understand this, let's rewrite 0.00001 in scientific notation.
0.00001 can be expressed as 1 x 10⁻⁵, where -5 is the exponent.
Therefore, log10(0.00001) = -5.
This means that 10 raised to the power of -5 equals 0.00001.
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Solve for m.
6 - 2
6 + 2
2 - 6
Answer:
[tex]m=6+2\sqrt{5}[/tex]
Step-by-step explanation:
20 POINTS
On the news yesterday, the weather forecaster’s rainfall prediction was 20% off. If 2.5 inches of rain actually fell today, what are the two rainfall predictions that could have been made during the weather forecast?
Giving brainliest to the BEST EXPLAINED answer. All answers that are irrelevant to the question will be reported and removed.
Middle School Math
Please help!
I really need it asap
Anyone mind helping ?
4) Select one of your desserts.
Desserte ice cream Price: 3.00
This dessert hasn't been selling well so.
you have decided to decrease the price
by $0.50. What is the percent of
change?
Answer:
Step-by-step explanation:
see calculate bro 3 = 100%
1.5 is 50%
0.50 is then 25%
need help cuz i don't know what in doingggg
find the volume of a prism 5 feet tall whose base is a right triangle with leg lengths 3/2 feet and 9 feet
Answer:
33.75
Step-by-step explanation:
The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.
It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.
It is required to find the volume of the prism.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have 5 feet tall prism ie.
height of the prism h = 5 feet
and base b = 3/2 feet
and length = 9 feet
We know the volume of the right triangle prism is given by:
[tex]\rm V = \frac{b\times h\times l }{2}[/tex]
Putting the values of b, h, and l, we get:
[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]
V = 33.75 cubic feets
Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.
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Please help me this is my final!!!
Answer:
it is a, or n=15
Step-by-step explanation:
Answer:
n=15 (No it's not cap)
Step-by-step explanation:
if the interior angle is 156 then to find the exterior angle we just do 180-156 which equals 24
360/24=15 so there are 15 sides
Use the Distributive Property to simplify the expression. PLS HURRRY I GIVE BRAINLEST AWNSER
11(4b-3)
Answer:
Step-by-step explanation:
44b-33
Assessment started: undefined.
Item 1
Which situation does this equation model?
12 × 6 = n
Maria completed 12 cartwheels. This is 6 more cartwheels than James completed. James completed n cartwheels.
Sarah's dog weighs 12 pounds. Jordan's dog weighs 6 times as much as Sarah's dog. Jordan's dog weighs n pounds.
Jada swam 12 laps in the pool. This is 6 times as many laps as Juan swam. Juan swam n laps.
Kiki collected 12 seashells on the beach. Min collected 6 more seashells than Kiki collected. Min collected n seashells.
Not sure how to do this, the lesson didn't explain this well.
please help PLEASE WILL GIVE BRAINS
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°
Marla used 17 gallons of water to wash 6 dogs. She used the same amount of water to wash each dog . How much water did marla use to wash the dogs?
Answer:
17 gallons.
Step-by-step explanation:
was this a trick question
Answer:
2.83 3 repeating
Step-by-step explanation:
The diameter of a circle is 18 m. Find its area in terms of \piπ.
Answer:A≈254.47m²
Step-by-step explanation:
Step-by-step explanation:
A=pi(r^
[tex]\pi {r}^{2} \\ \\ diameter \: is \: 18 \: meters \\ to \: find \: the \: radius \\ divide \: diameter \: by \: 2 \\ since \: the \: radius \: is \: \\ half \: the \: diameter18 \div 2 = 9 \: meters \\ \\ \pi {r}^{2} \\ \pi( {9}^{2} ) \\ \pi(81) \\ \\ area = 81\pi[/tex]