Answer:
8436
Step-by-step explanation:
19(|12+25|)(12)
=8436
Find the missing side of the triangle
(Pythagorean theorem)
Answer:
18.8 in
Step-by-step explanation:
the pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c, [tex]\sqrt{a^{2}+b^2}} =c[/tex]
the two legs are 8 and 17 inches. so we have [tex]\sqrt{8^{2}+17^2}} =c[/tex]. simplify to get sqrt(353) or around 18.79in
Answer:
18.8
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + 17^2 = c^2
64+289 = c^2
353=c^2
Taking the square root of each side
sqrt(353) = sqrt(c^2)
18.78829423 = c
To the nearest tenth
18.8 =c
16 ft
8. GARDEN A rectangular garden is 12 feet across and 16 feet long. It is
surrounded by a border of mulch that is a uniform width, x. The
maximum area for the garden, plus border, is 285 ft.
a. Write a polynomial equation to represent the situation.
12 it
b. Write and solve a system of equations.
c. What are the dimensions of the garden plus border?
The dimensions of the border is 1.5 feet for the garden
A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.
The area of a rectangle = Length * breadth
Given that length of garden = 16 ft., width of garden = 12 ft.
It is surrounded by a mulch of width x, hence:
New length = 16 + x + x = 16 + 2x
New width = 12 + x + x = 12 + 2x
The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²
Since the maximum area is 285 ft, hence:
192 + 56x + 4x² = 285
4x² + 56x - 93 = 0
x = 1.5 feet
The dimensions of the border is 1.5 feet
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Help me with this question
Instructions: Find the measure of x and y.
R
89°
E
Х°
81°
G
yo
F
=
Y
Check
Answer:
m ∠x = 81° and m ∠y = 109°
Step-by-step explanation:
m ∠R = 1/2 (arc REG) m ∠G = 1/2(arc REF)
89° = 1/2 (arc REG) 81 = 1/2(arc REF)
178° = arc REG 162° = arc REF
m ∠x = 1/2 arc REF
m ∠x = 1/2( 162°)
m ∠x = 81° or m ∠G = m ∠x because these to angles intersect the same arc, therefore they are equal.
Now the polygon interior angles = 360° and you know the measure of three of the four angles, solve for the missing angle .
m ∠R + m ∠x + m ∠y + m ∠G = 360°
89° + 81° + m ∠y + 89° = 360°
(89 + 81 + 81) + m ∠y = 360°
251° + m ∠y = 360°
m ∠y = 109°
PLEASE I NEED HELP!!! NO LINKS
Answer:
7. (0, -3) (1,-4) (2,-2)
A craftsman can repair about 1.5 antique books a week. How many books can he repair in six weeks?
Answer:
He can repair 9 books in 6 weeks
Step-by-step explanation:
1.5 x 6 = 9
Answer:
In six weeks, he can restore 9 antique books.
1.5 × 6 = 9
Step-by-step explanation:
hope this helps. . . <3
I need help ASAP please “f(x)= ?”
Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
if 3x/4 - 13 = -9 then what is the value of x^2
Select the correct answer.
Which statement and reason best complete the proof?
Answer:
A. - This is my guess.
$3.50 per gallon is gasoline they bought 61.001 gallon of gasoline how much was his total cost
Answer:
213.5035 or 213.50
Step-by-step explanation:
I did the math lol
Answer:
213.5
Step-by-step explanation:
The vertices of ΔABC are A (1, 5), B (3, 9), and C (5, 3). The vertices of ΔDEF are D (−3, 3), E (−2, 5), and F (−1, 2). Which conclusion is true about the triangles?
A. The ratio of their corresponding sides is 1:3.
B. They are congruent by the definition of congruence in terms of rigid motions.
C. The ratio of their corresponding angles is 1:3.
D. They are similar by the definition of similarity in terms of a dilation.
The dimensions of triangle ΔDEF can be obtained from ΔABC by applying a scale factor of dilation of [tex]\displaystyle \frac{1}{2}[/tex].
The conclusion which is true about the triangles is D. They are similar by the definition of similarity in terms of dilation.Reasons:
The given vertices of the triangles are;
ΔABC: A(1, 5), B(3, 9), C(5, 3)
ΔDEF: D(-3, 3), E(-2, 5), and F(-1, 2)
The lengths of the sides of ΔABC are
AB = √((1 - 3)² + (5 - 9)²) = √20 = 2·√5
BC = √((5 - 3)² + (3 - 9)²) = √40 = 2·√10
AC = √((1 - 5)² + (5 - 3)²) = √20 = 2·√10
The lengths of the sides of ΔDEF are;
DE = √((-3 - (-2))² + (3 - 5)²) = √5
EF = FE = √((-1 - (-2))² + (2 - 5)²) = √10
DF = √((-3 - (-1))² + (3 - 2)²) = √5
Therefore;
[tex]\displaystyle The \ dilation \ that \ gives \ \Delta ABC = \frac{\overline {EF}}{\overline {BC}} = \frac{\overline {DE}}{\overline {AB}} = \frac{\overline {DF}}{\overline {AC}} = \frac{\sqrt{10} }{2\cdot \sqrt{10} } = \frac{1}{2}[/tex]
The ratio of the sides of ΔABC to the corresponding sides of ΔDEF are equal to [tex]\displaystyle \frac{1}{2}[/tex].
Which gives;
ΔDEF is a dilation of ΔABC, and ΔDEF and ΔABC are similar by the
definition of similarity in terms of a dilation.
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Answer:
Step-by-step explanation:
They are congruent by the definition of congruence in terms of rigid motions.
Is 6 divided by 5
=1
Answer:
no, it's 1.2
Step-by-step explanation:
F(-1)=-6 f(4)=-6
write a linear function f with the given values
(The top one please)
Answer:
y=-6.
Step-by-step explanation:
1) the condition f(-1)=-6 and f(4)=-6 mean points A and B have coordinates (-1;-6) and (4;-6);
2) the points A and B has the same y-coordinate, it means, the required line is parallel to the x-axis and the required function is: y=-6.
P.S. the suggested way is not the only one.
The linear function f is f(x) = -6.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(-1) = -6
f(4) = -6
The linear function f can be in the form of f(x) = mx + c.
Now,
m = (-6 + 6) / (4 - 1)
m = 0/3
m = 0
Now,
f(-1) = -6
x = -1
f(x) = mx + c
f(-1) = 0 x -1 + c
-6 = 0 + c
c = -6
Now,
f(x) = -6
Thus,
The function f is a constant function.
f(x) = -6
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ms. sublet class has a ratio of 3 to 1 boys if there are four girls in the class how many boys are there
Step-by-step explanation:
3:1 boys
x:4 boys (when there are 4 girls)
x = 3×4 = 12
there are 12 boys in the class.
How do you do (x^3 + 6x^2 +11x +6) / (x^2 + 5x + 4) in long division?
Answer:see the photo I send to you
Step-by-step explanation:
Ok
On the movie “Old," on the island 8 hours and 17 minutes translated to 16.5 years, meaning 1 hour = 2 years on the island approximately.
If the boy was 6 years old on the island when he got there and aged to 50 by the end of the movie, how many hours was he on the island?
If the boy was 6 years old on the island when he got there and aged to 50 by the end of the movie, then he spent 22 hours on the Island
1 hour on the land = 2 years on the Island
Age of the boy when he got to the Island = 6 years
Age of the boy at the end of the movie = 50 years old
Difference in the boy's age = 50 - 6
Difference in the boy's age = 44 years
Since:
2 years = 1 hour
44 years = 44/2 hours
44 years = 22 hours
The boy was on the Island for 22 hours
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What is 0.3284 rounded to the nearest tenth?
Answer: 0.3
Step-by-step explanation:
because the hundreths place is less than 5 you round down the 0.3. If it was 5 or greater you would round up to 0.4
58% of 79 is what amount?
Answer:
45.82
Step-by-step explanation:
7x-5 °
sosssssssssssssssssssssssssssssssssssssssssss
Answer:
I think it's -35
Step-by-step explanation:
sorry if its wrong
14) What is 56% of 125?
Answer:
70
Step-by-step explanation:
An item is regularly priced at $85. Eric bought it on sale for 25% off the regular price.
Use the ALEKS calculator to find how much Eric paid.
Х
?
Answer: $63.75
Step-by-step explanation:
85-25%= $63.75
In a group of 304 people, the ratio of adult women to adult men is 3:4 and the ratio of adult men to children is 1:3. How many children are there
Answer:
192
Step-by-step explanation:
Hey luvvs, Can u plz help me with this Freind me if u do bestiess
Answer:
a because u would practically take the negative off
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
By the definition of the multiplicative inverse:
a * 1/a=1
Now, Multiplicative inverse of - 8/11:
=-8/11 * -11/8
=1
If you need to ask any questions, I would gladly give you the answer.
Find the equation of the line that passes through (2, -3) and is parallel to y = -3/8x + 2
Answer:
y = -3/8x - 9/4
Step-by-step explanation:
Since we know the equation is parallel to y = -3/8x + 2, the slope of our equation will also be -3/8
So our equation can be written as:
y = -3/8x + b
To find 'b', we can plug in the point (2, -3) into the equation:
-3 = -3/8 * 2 + b
b = 3/4 - 3 = -9/4
So our final equation becomes:
y = -3/8x - 9/4
Step-by-step explanation:
answer is -3.5........
Ms. Sanchez’s guests drank 5 3/4 gallons of pink lemonade in 1/4 hour. What was the average rate in gallons per hour which her guests drank the pink lemonade
Answer:
23 gallons per hour
Step-by-step explanation:
5 3/4 * 4 = 23
times the amount drank in 1/4 hours by 4 to get the amount drank in 1 hour
(1/4 * 4 = 1 hour (example))
Suppose a normal distribution has a mean of 120 and a standard deviation of
10. What is P(x >= 100)?
Notice that 100 is 20 less than 120, or equivalently 2 standard deviations σ below the mean µ. So
P(x ≥ 100) = P(x ≥ µ - 2σ)
Recall the empirical rule for normal distributions (these are true for any mean µ and s.d. σ):
• P(µ - σ ≤ x ≤ µ + σ) ≈ 0.65
• P(µ - 2σ ≤ x ≤ µ + 2σ) ≈ 0.95
• P(µ - 3σ ≤ x ≤ µ + 3σ) ≈ 0.997
The probability we want is the same as
P(x ≥ µ - 2σ) = P(µ - 2σ ≤ x ≤ µ + 2σ) + P(µ + 2σ ≤ x)
or
P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)
which is clearly some number larger than 0.95, so A must be correct.
Suppose a normal distribution has a mean of 120 and a standard deviation, P(x >= 100) is 0.975. Option A. This is further explained below.
What is a normal distribution?Generally, normal distribution is simply defined as a function that displays the dispersion of numerous unknown parameters as a symmetrical bell-shaped graph.
In conclusion, based on the function
P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)
the function P(x >= 100) is 0.975
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Help me plsss????
Plssssssss
Answer: 32.50 [No $ sign as per the directions]
Step-by-step explanation:
The graph appears as a straight line. That means we can pick any two points and calculate the slope, m, for the equation of a straight line: y = mx + b
We can pick any two points, so I'll pick two that do not require interpretation of the graph. Points (0,0) and (8,20) look good since we can feel relatively confident that the line crosses those two points since they fall on the graph marking lines.
Slope is Rise/Run, or the change in y per the change in x. For these two points, we have:
Rise = (20 - 0) or 20
Run = (8 - 0) or 8
The slope is Rise/Run. 20/8, or 2.5
[The units for the slope are $/lb, but units are to be left out of the answer]
The equation is now y = 2.5x + b
b is the y-intercept, the value of y when x = 0. We can see that y = o when x = 0, so b is zero.
The final equation is y = 2.5x
Use x = 13 lbs to find the cost of 13 lbs of blueberries.
It is 13*2.5 = 32.50
what is –0.025 as a fraction??
Answer:
- 1/40
Step-by-step explanation:
-0.025 = -0.025/1
we have 3 numbers after the decimal point so we multiply both numerator and denominator by 1000
( -0.025 x 1000)/(1 x 1000) = -25/1000
reduce the above fraction by dividing both numerator and denominator by the greatest common divisor between them. in this case GCD (25,1000) = 25.
(-25/25)/(1000/25) = - 1/40
Paradise Resort has a total of 350 lounge chairs. If 210 chairs are under umbrellas, what percent of the lounge chairs are under umbrellas?
Pick the model that represents the problem.
Answer:
60%
Step-by-step explanation:
1% is 3.5
10% is 35
210 / 35 = 6
A slot machine has 3 wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play, what is the probability that you get at least one bar?
Answer:
a) 3 lemons = (0.3)^3 = 0.027
------------------------------------
b) No fruit symbols = (0.5)^3 = 0.125
c) 3 bells (the jackpot) = (0.1)^3 = 1/1000
d) No bells = (999/1000)
e) At least one bar (An automatic loser)= 1 - P(no bars)
= 1 - 3C0(0.4)^0*0.6^3 = 1-0.6^3 = 0.784
============================================
Cheers,
