Answer:
5 ft, 6.5 ft, 7 ft
Step-by-step explanation:
area of trapezoid = (base1 + base2)h/2
Let the unknown base = x
area of trapezoid = (8.5 + x)(6)/2
area = 3x + 25.5
We want the area to be between 40 ft^2 and 48 ft^2.
40 < 3x + 25.5 < 48
14.5 < 3x < 22.5
4.8333 < x < 7.5
Answer: 5 ft, 6.5 ft, 7 ft
Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
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Answer:
39°
Step-by-step explanation:
The equation is
3h+72+8h+95=90
11h+167=90
11h=-77
h=-7
So RGK=
8.-7+95
-56+95
39
Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer
Answer:
no
Step-by-step explanation:
y = -2x + 16
-2 = -2(10) + 16
-2 = -20 + 16
-2 = -4
which is wrong
Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.
y = -2x + 16 > -2 = -2(10) + 16
Now, solve.
-2 = -2(10) + 16 > -2 = -20 + 16 - Start by multiplying out parenthesis.
-2 = -20 + 16 > -2 = -4 - Add.
-2 = -4
The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.
Give the slope of any line that is perpendicular to the line y = -1/8 x + 5
Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
Can someone please help with this.
Answer:
92
Step-by-step explanation:
Sum of 2 interior angles= exterior angle so
148=56+h
h= 148-56
Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?
Answer:
24
Step-by-step explanation:
Answer:
Angie is thinking of the number 24.
Explanation:
24 can be divided into 8 three times & can be divided by 12 only two times.
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
C=45h+30
C=45(6.5)+30
Im using a decimal because it should be clear 1/2=0.5
C= 292.5+30
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
C=$322.50
..............................................................................
thank you love <3 greatly appreciated.
can someone please help me answer this? i will mark you brainliest!!! i really need help plss
Answer:
3.5
Step-by-step explanation:
If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5
Hope this helps! :)
How do u do this I am so confused please help!!
Answer:
x = √145
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = 12
Leg b = x
Hypotenuse c = 17
Step 2: Solve for x
Substitute [PT]: 12² + x² = 17²Isolate x term: x² = 17² - 12²Exponents: x² = 289 - 144Subtract: x² = 145Isolate x: x = √14536 - (-4) + 5+ (-10) =
Answer:
=35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
remove parentheses, then solve
36 - (-4) + 5+ (-10) =
36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.
35
hope this helps
If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box
if you scored 383 on the critical reading section on the SAT, what is your percentile
Answer:
20 percentile
Step-by-step explanation:
im sorry for your loss with your bad score.
Linear equation:- (6x+ 10) = 13
Step 1: -3–5= 13
Step 2:-3r= 18
Step 3: x=-6
Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
O the addition property of equality and then the
O the sutbtraction property of equality and then the
O the subtraction propety of equality and then the
division property of equality
multiplication property of equality
division property of equality
multiplication property of equality
Answer:
A: the addition property of equality and then the division property of equality
Step-by-step explanation:
5. There were 30
presents left on Santa's
sleigh. In an unfortunate
incident, in which
Rudolph was unavailable
to lead the sleigh on a
foggy Christmas Eve, 2/6
of the presents fell over
the side when Blitzen led
an evasive maneuver.
How many presents fell
off?
Answer:10 presents fell off
Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10
Answer:
you put 30 over 1 than you then you 2 over 6 then subtract then
Step-by-step explanation:
so it would look like this
30/1 - 2/6=
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
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what is 4/12 as a percent
Answer:
33.333333333333%
Step-by-step explanation:
Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?
Answer:
The new figure is not congruent with the old figure. They are similar
Step-by-step explanation:
Transformations
We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.
It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.
This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.
Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.
But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.
Which expressions have a value of 7? Select all that apply.
Answer:
G 42/6
H 2+5
K 7+0
L 7^1
Step-by-step explanation:
20 point question pls help
Answer: y = -1/3x - 1
Step-by-step explanation:
Slope-intercept = y = Mx + b
M = slope
B= y
HELLLP PLSSS ASAPP!!!!!!!!!1
The answer is A, square root of 29
Drugs+Kids=..................
Very tough question guys
Answer:
= desaster
Step-by-step explanation:
If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?
Answer:
27.72
Step-by-step explanation:
Answer:
12 pounds of oranges would cost $27.72
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2 3/5 * 3 1/3
Just answer please
Answer: 8.66666666667
Step-by-step explanation:
Answer:
26/3 in the simplest fraction.
Solve problem in photo (8th math)
Can someone pls help me with this?? I’ll give brainliest!
Answer:
It's ( - 4, 5 )
Hope it's help you.... ^_^The perimeter of a triangle is 108ft. The sides lengths are in a ratio of 2:3:7. How long is the shortest side?
Answer:
18ft
Step-by-step explanation:
2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])
The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft
To find this, we divide 108 by the denominator (6) to get 18ft
We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.
QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?
Answer:
A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.
Step-by-step explanation:
(-5,-3) (5,-4) slope =
Answer: -1/10
Step-by-step explanation:
Y2- Y1 over X2 - X1
-4 - - 3 over 5 - - 5
-4 + 3 over 5 + 5
-1 over 10
6 The manufacturer of an oven states that the
temperatures displayed while cooking are within a
5% error. Rachel is using the oven to cook a chocolate
cake that must be cooked at a temperature below
325°C. The oven display shows a temperature of 310°C.
Can Rachel be certain that the temperature is suitable
for cooking her cake? Explain your answer.
Result, Rachel can be certain that the temperature is suitable for her cake.
Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.
The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.
To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.
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