Answer: Therefore the length of the pole in 10.1 foot (approx) .
Step-by-step explanation:
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
Prove .. help me pls
Answer:
Step-by-step explanation:
Please show me the steps of solving this and the answer 2n² +3n-9
Answer: n=-3 and n=3/2
Step-by-step explanation:
To solve the expression, we want to find the values of n. Since there are no common factors in 2, 3, -9, we directly multiply the "a" and "c" values.
2×(-9)=-18
This means, we want to find two numbers that multiply to -18 and adds to 3. This can also be known as the cross method.
We will find that 6 and -3 multiply to -18, and adds to 3.
In our box method, we want to find the common factors.
|2n²|6n|
|-3n|-9|
Note: Just pretend the lines line up and form a square box, with a term in each box.
After finding that is in common between the boxes, we get (n+3)(2n-3)=0
To solve, we set each factor equal to 0.
n+3=0
n=-3
2n-3=0
2n=3
n=3/2
Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
Samantha and Mia are 13 km apart from each other.
What is Pythagoras theorem?The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.
As Mia walked 7km/h and she is 7 km north of Julia's house.
and, Samantha walked 11km/h and she is 11 km west of Julia's house.
The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.
the distance between the girls is shown by, hypotenuse of triangle
Using Pythagoras theorem,
[tex]H^{2} =P^{2} +B^{2}[/tex]
[tex]H^{2} =7^{2} +11^{2}[/tex]
[tex]H^{2} =49+121\\[/tex]
H= [tex]\sqrt{170}[/tex]
H= 13.038
H= 13 Km
They are 13 km apart from each other.
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Answer:
13.0 km
Step-by-step explanation:
Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
How to determine the simplest form of this expression?The expression is given as:
(x + 7)(3x − 8)
Expand the expression
3x² - 8x + 21x - 56
Evaluate the like terms
3x² + 13x - 56
Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
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f(x) = x2. What is g(x)?
Answer:
A. g(x) = -x^2 - 3.
Step-by-step explanation:
If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)
To get g(x) we then translate the image 3 units down,
g(x) = -x^2 - 3.
Solve 1 over 3 (2x - 8) = 4
Answer:
X=10
Step-by-step explanation:
1. 1/3 (2x-8)=4
2. 2x/3 - 8/3 = 4
3. 2x/3 = 4+2 2/3
2x/3 = 6 2/3
2x/3 = 20/3(Criss cross method)
6x = 60
x=10
brainly pls!
which of these numbers: 3,4,18,111,123,340,345,456,555 are divisible by 3 but not 9
Answer:
3
Step-by-step explanation:
3÷3=1
cant be divided by 9 and get a whole number
3÷9=.33333
1. A rectangular pool is 8 yards long, 6 yards wide, and 5 feet deep. Convert the measurements of the length and width to feet.
Answer:
19
Step-by-step explanation:
need help with sigma notation
Answer:
114126Step-by-step explanation:
The given expression describes the GP with
The first term:
t = 80(1.23²⁻²) = 80(1.23⁰) = 80The common ratio:
r = 1.23It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)
The number of terms is
n = 29 - 2 + 1 = 28The sum of the first 28 terms is
Sₙ = t(rⁿ - 1)/(r - 1) S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)Answer:
114,126 (nearest whole number)
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
Given:
[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]
The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.
First term (a)
Determine the first term by substituting n = 2 into the given expression:
[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]
Common ratio (r)
From inspection, the common ratio is 1.23.
nth term
As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.
Therefore:
a = 80r = 1.23n = 28Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Substituting the given values into the formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]
Therefore, the sum of the given geometric series is 114,126 (nearest whole number)
Alicia found $1.90 on the beach. Her brother found three times as much money. How much money did Alicia and her brother find in total? $5.70 $7.60 $9.60 $11.40
Answer:
$7.60
Step-by-step explanation:
If you multiply 19.0 by 4 then you get $7.60
Find the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm. Use the value 3.14 for , and do not do any rounding. Be sure to include the correct unit. 6 cm 8 cm
The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.
What is surface area?The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.
The formula for the surface area of a cylinder:-
SA = 2πrl
SA = 2 x π x 6 x 8
SA = 301.6 cm ²
Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.
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The area of a circle is 88.44 cm² find the length of the radius rounded to 2 DP
The radius of the circle is 5.30 cm.
What is a radius?A radius is a line that extends from the center of a circle to any point of the circumference.
To calculate the length of the radius of the circle, we use the formula below.
Formula:
A = πr²......... Equation 1
Make r the subject of the equation
r = √(A/π).................. Equation 2Where:
A = Area of the circler = Radius of the circleπ = PieFrom the question,
Given:
A = 88.44 cm²π = 22/7Substitute these values into equation 2
r = √(88.44/(22/7))r = √(88.44×7/22)r = √(28.14)r = 5.30 cmHence, the radius of the circle is 5.30 cm.
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DO NOT ANSWER IF YOU DON'T KNOW. AND NO GUESSES!
In the following table of values, what would be the value of “b” in ax2 + bx + c?
–2, –9
–1, –1
0, 9
1, 21
2, 35
Answer choices:
1
9
11
22
Answer:
11
Step-by-step explanation:
I used a bunch of formulas that would clog this page, so I can't put them down. Sorry if it's wrong
I don't understand someone help pls
Answer:
Find x
The angles are corresponding.
We have
x+35°+90°=180 (angles in a triangle)
x= 55°
Please give Brainliest
Answer:
x = 20 degrees
Step-by-step explanation:
I cannot give a thorough explanation but I will show my workings and reasoning.
Reasoning:
Vertically opposite angles are equal
Angles in a triangle add up to 180 degrees
Workings:
35 multiplied by 2 is 70
70 add 90 is 160
180 minus 160 is 20
x = 20
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
No
Step-by-step explanation:
If you look at the graphs of the two expressions when x > 8
you will see that 2^x is greater
Yes that's true
because
As we can observe the table
The values of 5x²
5204580The values of 2^x
24816Clearly Tyler is correct
But
This is just according to table
After some while 2^x will shift gears to go ahead of 5x² side
Example
2^9=256=5125(9)²=5(81)=405=
Given that f(x) = 2x – 2 and
g(x) = 3x, evaluate
,
f(g(-1))
Hope this is not confusing.
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
10 m
10 m
6 m
16 m
What is the value of B?
36 m2
48
18 m2
54 m?
30 m
The area of the base of the triangular prism is 48 square meters. Then the correct option is B.
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
The figure is shown below.
Then the area of the base of the triangular prism will be
[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]
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The table shows the relationship between the number of minutes Ted has driven, m, and the total distance he has traveled, d, in miles. Which equation represents the relationships in the table? Group of answer choices d = 2m m = d d = m - 5 d = m
The proportional equation that represents the relationship in the table is given as follows:
d = km
In which k is the number of miles he drives per minute(the ratio of the values in the table).
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:
d = km.
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what is 2 times 2 times 5 times 6 divided by 3 and subtracted 3 and plus 1?
Answer:
38
Step-by-step explanation:
2(2) = 4
4(5) = 20
20(6) = 120
120/3 = 40
40 - 3 = 37
37 + 1 = 38
The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image are A'(3, -2), B(7, -3), and C'(1, -6). What transformations would result in this image?
Δ ABC was translated up 4 units and left 4 units.
Δ ABC was translated left 4 units and down 4 units.
Δ ABC was translated up 4 units and right 4 units.
Δ ABC was translated right 4 units and down 4 units.
Best answer gets brainliest!
Answer:
the answer is ABC was translated right 4 units and down 4 units. hope this helped
Suvam fixed the price of a watch as Rs. 1200 and he sold it allowing a discoiunt of 15% and made a profit of Rs. 120. What was the cost price of the watch? Find it.
What is the solution to this equation?
m – 3 = 9
m=9
m=6
m=3
m=12
Answer: m=12
Step-by-step explanation:
Answer:
m=12
Step-by-step explanation:
m - 3 = 9
You have to make sure
that m stands alone,
that's making m the subject.
So -3 have to cross the equal to sign,
to become +3
m = 9 + 3
m = 12
Hope this help. I wish you all the best
Please help with this. I don’t understand what I’m doing. It’s due tonight
Answer:
.0006
Step-by-step explanation:
I'm not sure if this is correct.. sorry if this is wrong.. :(
Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work
Answer:
A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Step-by-step explanation:
E = v + Ir
E - v = Ir (subtract by v on both sides)
(E-v)/I = r (divide by I on both sides)
[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Based on this deck of 46 cards, which event has a probability of 2746?
a. P(not Star)
b. P(Circle or Rectangle)
c. P(not Diamond)
d. P(Rectangle)
Answer:
B
Explanation:
There are 19 rectangles and 8 circles
19
+8
27 so it would be 27/47
Please help meeeee !
Write an equation to match each graph.
I already tried y=[x] that didn’t work
Answer:
y=|x|
Step-by-step explanation:
We know
general modulus function passes through origin as |0| is 0
And it's symmetric on both sides of y axis .
As it's not one -one function
Means
f(-1)=|-1|=1f(1)=|1|=1So the graph is y=|x|
Answer:
y = |x|
Step-by-step explanation:
The equation for the part of graph to the right of the y-axis is:
y = x where y ≥ 0
The equation for the part of graph to the left of the y-axis is:
y = -x where y ≥ 0
So we can see that both a positive and negative value of x gives the same positive value of y.
Therefore, we can create an equation for the graph by using the absolute value of x:
⇒ y = |x|
Absolute value means how far away a number is from zero.
"x" is x away from zero and "−x" is also x away from zero.
So the absolute value of x is x, and the absolute value of −x is also x.
The bars either side of the x shows that we want the absolute value of x.
In practice, think of "absolute value" as removing any negative sign in front of a number.
With y = x → when x = 1, y = 1 and when x = -1, y = -1
With y = |x| → when x = 1, y = 1 and when x = -1 we think of it as x = 1, so y = 1
what shape always has four congruent sides
Answer:
A rhombus
Step-by-step explanation:
A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.
Answer: rhombus
Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Verify if x > 1 is the solution to the inequality 7 - 4x > −2 (3x - 5).
Answer:
No, x>3/2
Step-by-step explanation:
Too lazy sorry.
Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
1,0,3,0,2,1
Using this data, create a dot plot where each dot represents a concert
In this picture dots are clearly shown the frequency of the concert.
What is Frequency?Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.Here, in given data about the six concerts
Concerts Frequency
0 2
1 2
2 1
3 1
Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.
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