Answer:
a) A =( x^2 -4x)/2
b) 16 cm^2
Step-by-step explanation:
Let the base of the triangle be x cm
since it is longer, then the height would be (x-4) cm
Mathematically, the area of a triangle is the product of the base and the height divided by 2
So, we have this as;
A = 1/2(x-4)x
A = x(x-4)/2
A = (x^2 - 4x)/2
A =( x^2 -4x)/2
To find the area, we only need to substitute 8 cm for x
we have this as;
A = (8^2 -4(8))/2
A = (64-32)/2 = 32/2 = 16 cm^2
We will begin by converting the word problem to relatable mathematical expression in the first part, in the second part, we will substitute for x and find the area which is 48cm^2
Given data
Let the height be x cm
and let the base be y cm
Going by the word problem statement "base that is 4cm longer than its height."
y = x+4
a. the polynomial expression for the area of the triangle is
We know that the area of triangle is given as
Area = 1/2*Base*Height
Area = 1/2*(x+4)*x
Area = 1/2*x^2+4x
Simplify
Area = x^2/2 + 2x
b. The Area when the height is 8cm
We will substitute x= 8cm
Area = (8)^2/2 + 2(8)
Area = 64/2 + 16
Area = 32+16
Area = 48 cm^2
Learn more about Triangle here:
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Distribute 2 (9x^2 + 3).
Answer:
18x^2+6
Step-by-step explanation:
2(9x^2+3)
multiply each term in parentheses by 2
2 x 9x^2+2 x 3
calculate product
18x^2+2 x 3
multiply numbers
18x^2+6
MAth problem
Help ASAP please
Answer: 6
Step-by-step explanation:
ab:pq = 5:35, and ac:pr=x:42
because ab:pq=5:35, then it becomes 1:7, as you can divide by 5 on both sides. Ac:pr=x:42, and 42=7x. When you solve that x=6.
hope that makes sense!
If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the middle
Answer: [tex]9\pi \ in.^2[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=7\ in.[/tex]
The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]
The volume of the cylinder is the product of area and height
[tex]\Rightarrow V=\pi r^2h\\[/tex]
Insert the values
[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]
Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]
The claim that 20% of Americans know their credit score is tested. Suppose that the sample evidence causes us to fail to reject the null hypothesis claim that 20% of Americans know their credit score. State the final conclusion in simple, nontechnical terms.
A. There is sufficient evidence to support the claim that the percentage of Americans who know their credit score is equal to 20%.
B. There is not sufficient evidence to reject the claim that the percentage of Americans who know their credit score is equal to 20%.
C. There is not sufficient evidence to support the claim that the percentage of Americans who know their credit score is not equal to 20%.
D. There is not sufficient evidence to support the claim.
Im confused can someone please tell me if this is able to answer?
Answer:
He has 1/6 of his book left to read.
Step-by-step explanation:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
And 6/6 - 5/6 = 1/6
How do we define transformation?
Answer:
A Dramatic change in appearance or form
Step-by-step explanation:
Answer:
A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.
Which rule can be used to find the output numbers in this table?
Answer:
D
Step-by-step explanation:
22/11 = 2
77/11 = 7
110 /11 = 10
121/11 = 11
In each case, when you divide the input by 11 you get the output.
The rule is to divide the input by 11.
Answer: D
What is the distance from the origin to point P graphed on the complex plane below?
A) sqrt 7
B) sqrt 29
C) 7
D) 29
Answer:
Sqrt 29
Step-by-step explanation:
A news paper sold for 25 newspaper each hour. How many newspaper did it sell in 12 hours?
Answer:
it sold 300 newspapers because you needed to multiply 25x 12
Step-by-step explanation:
Select the equation of the line parallel to y= -3x -5 the equation and that passes through the point (1,2)
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (b)Parallel lines always have the slope slopes and different y-intercepts1) Determine the slope (m)
[tex]y= -3x -5[/tex]
With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,2) and isolate b
[tex]2=-3(1)+b\\2=-3+b[/tex]
Add 3 to both sides
[tex]2+3=-3+b+3\\5=b[/tex]
Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+5[/tex]
I hope this helps!
25. Kendra owns a toy store. She charges $5.00 for two cars and one piece of candy. She charges \$3.2 for one car and one piece of candy. How much does Kendra charge per car?
Kendra's charge per car in the toy store is $1.8.
What is the system of equations?"Systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions".
For the given situation,
Let the number of cars be 'x' and
The number of candy be 'y'
$5.00 for two cars and one piece of candy
$3.2 for one car and one piece of candy
System of the equation for the above case
Equation 1:
[tex]2x + y = 5[/tex]
Equation 2:
[tex]x + y = 3.2[/tex]
Subtract equation 2 from equation 1,
⇒ [tex]x=1.8[/tex]
On substituting x in equation 2, we get
⇒ [tex]y=3.2-1.8[/tex]
⇒ [tex]y=1.4[/tex]
Hence we can conclude that Kendra's charge per car is $1.8.
Learn more about the system of equations here
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write 0.0401907 to 3 decimal places.
Answer:
0.04
Step-by-step explanation:
What is the distance between the integers (-15) and (-9) on a number line?
Answer:
The answer is -7, because -15-9=-7
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true
CE and BD are diameters of circle F. What is the measure of angle AFB?
the age of 5 men are 48,y, 52,50 and (2y-5).if the average is 47 years find the age of the oldest man
can someone pls help?
2.5x10^3 times what number is equal to 5x10^6?
Answer:
2000
Step-by-step explanation:
5 × [tex]10^{6}[/tex] ÷ 2.5 × 10³
5000000 ÷ 2500
2000
What is the Ka of a solution of 0.025M formic acid, if the pH 10 points
is 2.60? Answers
Ka = 0.025
Ka = 2.5x10^-4
Ka = 2.8x10^-4
Ka = 2.8x10^-2
Answer:
ka=2.8×10>4
Step-by-step explanation:
.$%_&<</___/%$
HELP ASAP IXL PLZ HELP
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
R (- 3, 3 ) → R' (3, 3 )
S (- 3, 8 ) → S' (3, 8 )
T (- 2, 7 ) → T' (2, 7 )
No links need help ASAP
Answer:
≈10502.7
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
160π cubic units.
»»————- ★ ————-««
Here’s why:
The formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]\boxed\text{Key:}\\\\[/tex][tex]\boxed{\text{Key:}}\\\\\text{R - Radius}\\\\\text{H - Height}[/tex]
⸻⸻⸻⸻
We are given:
The height of 10 units.The radius of 4 units.⸻⸻⸻⸻
We will replace the 'r' with '4' and we will replace the 'h' with '10'.
⸻⸻⸻⸻
There are two ways to express the answer, either an exact answer in terms of pi or an approximation using 3.14 for pi.
For this answer, I will use the exact terms.
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Volume of the Cylinder:}}\\\\V=\pi 4^210\\\\-------\\\rightarrow V=4^2*10*\pi \\\\\rightarrow V=16*10*\pi\\\\\boxed{V=160\pi}[/tex]
The answer should be [tex]\boxed{160\pi\text{ units} ^3.}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,
12 m
4 m
4 m
4 m
4 m
Оа
208 m2
Oь
177 m2
Ос
224 m2
Od
158 m2
GIVING BRAINLIEST PLZ HELP
Answer:
Sebastian
Step-by-step explanation:
70.5 is what percent of 94
Answer:
75%
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 75%
Step-by-step explanation:
CAN SOEMBODYY JUST PLSS IM BEGGIN HEL PMEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Hi, there
Question 1: B. 6x^3(x-6)
Question 2: A. (8x+3)^2
Question 3: A. (5x+9y)(5x-9y)
Question 4: D.(x-2)(x-3)
Step-by-step explanation:
Hope this helps :)
Help meeeeee, i don’t understand
Answer:
To graph the equation, you need to find the slope and y-intercept.
y = mx + b
⬑[slope-intercept formula; m is the slope, and b is the y-intercept]
y = 4x + −1
⬑[given equation before being simplified]
y = 4x − 1
⬑[given equation]
║m = 4
║b = (0, −1)
Proof:
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
x₁ = 0
x₂ = 1
y₁ = −1
y₂ = 3
m = [tex]\frac{3 - -1}{1 - 0}[/tex]
║m = 4
║b = (0, −1)
[the value for x₁ and y₁ equals the y-intercept: (0, −1)]
Graph:
Gerald wants to buy a pack of pencils for $1.77. He has 5 quarters, 3 dimes and 4 pennies. How much more money does he need?
Answer:
18 cents
Step-by-step explanation:
25 times 5 plus 30 plus 4
Answer:
$0.18
Step-by-step explanation:
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
Answer:
75ft
Step-by-step explanation: angles
which graph correctly represents
3x + y>72
A graph A
B. graph B
с graphic
D graph D
Answer:
The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right
Step-by-step explanation:
y > -3x + 7
The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right
Can someone help me with this question
Answer:
its either 11 or 2/3
Step-by-step explanation:
If I lie about what I say then is the truth a lie or am I telling the truth whilst lie-ing (ﾟ∩ﾟ) ?
+Answer:
You are lying more then telling the truth.
Step-by-step explanation:
At first, it was a lie but a coincidence happened, so it is more lying in my opinion.