Answer:
h(2) = (-11)
Step-by-step explanation:
h(x) = (-4x - 3), if h(2)
h(2) = (-4(2) - 3)
h(2) = -8 - 3
h(2) = (-11)
Thus, The answer is (-11) if h(2)
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
PLSSS NEED HELP WILL GIVE CROWN
Add :
-1.25 + 2.5 = 1.25
For plotting the first one we first need to see the integer as here is 1 we will move to 1. Now, here it is given 0.25. Each line between 1 and 2 has 10 numbers gap so, as it 25 > 20 and 25 < 30. So, we should plot it between the 2nd and the 3rd line. As it is 5 it should be in between the line.
Refer the plotting for better identification
Add :
4.2 + (-0.4)
4.2 - 0.4
3.8
For plotting this one we will move to 3 than it has 8 < 10 so it should be plotted within the first dot.
Refer the attachment for better identification
Does this set of ordered pairs
represent a function? Why or
why not?
{(-2, 2), (–1, 2), (3, -1), (3, 1), (4, 11)}
Answer:
No because there are multiple Y values for the same X value. 3 is -1 and 1 at the same time meaning it is not a function.
Step-by-step explanation:
4. (2)
Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.
Answer:
the first part is $2700
the second part is $8100
the third part is $16200
Step-by-step explanation:
Call the first part a (a>= 0)
=> the second part 3a
=> the third part 2.3a = 6a
Because the total of three parts is 27000 so we have:
a + 3a + 10a = 27000
<=> 10a = 27000
<=> a = 2700 (satisfied)
so
the first part is: a = $2700
the second part is: 3a = 3 . 2700 = $8100
the third part is: 6a = 6 . 2700 = $16200
p/s: actually there are some word I don't know how to express them in English. So please notice to correct them
let f (x) = 4x-9. write a function g whose graph is a translation 1 unit right of the graph of f
Function g(x) = 4x -13 after the graph is translated 1 unit right of the graph of f(x) = 4x - 9.
As given in the question,
Function f(x) = 4x -9
Graph g(x) get translated 1 unit right of the graph of function f(x)
It means change in the value of x equals to x-1
g(x) = 4(x-1) -9
⇒ g(x) = 4x -4 -9
⇒ g(x) = 4x-13
Therefore, function g(x) = 4x -13 after the graph is translated 1 unit right of the graph of f(x) = 4x - 9.
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In 2009 the city of Houston, Texas, had a population of 2,257,926. Find the place value of the 5 in 2,257,296
Answer:
It is 50,000
Step-by-step explanation:
Because if you were to take the two 2 in front of it would leave you with 57,296, you would know it's 50,000.
3. Sara is making a quilt. One of the fabric pieces she is using is 1 1/2inches x 3inches. She will need 20 of these pieces. How many feet of fabric will she needof this pattern?
Now the quilt measures 1.5 inches by 3inches. This means that the length of the quilt is 3 inches and the breadth is 1.5 inches, considering the quilt to be a rectangle. They are asking us the length of the quilt she will need measured in "feet" and not in inches.
Since she needs 20 pieces, the length required is 3 inches x 20 = 60 inches.
converting 60 inches to feet becomes 60/12 = 5 feet. Because 12 inches make 1 feet. Therefore, the answer is 60/12 = 5 feet.
This question is asking what is the missing term can someone help please.
Answer:
-4
Step-by-step explanation:
From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.
First instance;
Number = +1
variable= x
Output = -4
+1 * x = -4
x = -4/1 = -4
Second instance;
Let the unknown number be y.
Number = y
variable= 2x
Output = -8x
y * 2x = -8x
y = -8x/2x
y = -4
Check:
2x * -4 = -8x
What are three numbers that are divisible by both two and five
Answer:
10, 20, 30
Step-by-step explanation:
You want three numbers divisible by both 2 and 5.
Common multiplesIn order for a number to be divisible by 2, it must have 2 as a factor. If it is to be divisible by 5, it must have 5 as a factor. You want numbers divisible by both 2 and 5, so both 2 and 5 must be factors of the numbers. The values 2 and 5 have no factors in common, so their least common multiple is 2×5 = 10.
Any integer multiple of this value will be divisible by both 2 and 5. A multiple of 10 will end in 0. That is, any integer with a units digit of 0 is divisible by both 2 and 5. Examples are ...
10, 20, 30
(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
Determine if the line segment YX is tangent to circle Z.
The segment XY is a tangent to circle Z.
What is tangent to a circle?
Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.
To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.
If the triangle XYZ is a right triangle, then we have
XY² +XZ² = YZ²
3.6² +2.7² = (1.8 +2.7)²
12.96 +7.29 = 20.25 it's true.
Therefore, the segment XY is a tangent to circle Z.
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4. What equation represents the data table shown below?
х
0
-2
-4
-6
-8
у
8
12
16
20
24
y = -2x + 8
y = 14/8x +8
y=-1/2x + 8
y = 1/2x - 8
considering the inequality -5x-4y<12 , the shaded area of its graph is described by
The shaded area for the inequality y > -3-(5/4)x is given below.
The inequality is the relation between two expressions showing the relationships such as greater than, lower than, greater than equals to, and lower than equals to.
The given inequality is -5x-4y<12
solving this inequality for y
-5x-4y<12
⇒ -4y<12+5x
⇒y > (12+5x)/(-4)
⇒y > -3-(5/4)x
the line y= -3-(5/4)x has y intersection at (0,-3) and x intersection at (-12/5,0).
The inequality y > -3-(5/4)x show that this will be above the straight line y = -3-(5/4)x as if we put (0,0) in the inequality, the inequality will be 0>-3 which is true that shows that the region contains (0,0).
Therefore the shaded area for the inequality y > -3-(5/4)x is given below.
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The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Which triangles are similar to △A, B, C? Triangle. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Triangle A B C. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Choose 1 answer: Choose 1 answer: (Choice A) Triangle D E F. Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ D, E, F . Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ � Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ G, H, I only B Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ , I only (Choice C) Both (Choice D) Neither
its the geometry - Similarity : unit test / high school
The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.
If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.
In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.
Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.
Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.
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Complete Question:
Define triangle is △ABC similar to Similarity property and why?
Which triangle is △abc similar to and why? responses △abc is similar to △ghi by aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , , a a similarity postulate, ., △abc is similar to △jkl by aa similarity postulate. triangle a b c, is similar to , triangle j k l, by , , a a similarity postulate, , . △abc is similar to △def by aa similarity postulate. triangle a b c, is similar to , triangle d e f, by , , a a similarity postulate, , . △abc is not similar to any of the triangles given.
A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy \(2.25\ \text{ft}^2\)
Area of first level
\(75\times 75=5625\ \text{ft}^2\)
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
\(\dfrac{5625}{2.25}=2500\)
The number of tickets that can be sold for the first level is 2500.
DO WHATEVER YOU CAN TO HELP ME
Answer:A,C,D
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
4-1=3 (correct)1+4=6 (incorrect)3x4=12 (correct)20÷5=4 (correct)3-4=1 (incorrect)PLS LOOK AT PHOTO
HELPPP ASAP!!!
[6 11 -47
1
-5
6 8 -5
3 -9 6
Match each value to the correct entry in matrix AB.
[5 7
54
A = 4 -1
27
23
and B= 2
The matrix is 3 × 3 square matrix . Its values are:
\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)
Given,
Matrix A and Matrix B
Now,
According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.
So,
Apply multiplication rule,
\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)
Thus the values of the matrix can be calculated.
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which is larger
8/k^2+2 and k^2+2
Answer:
Step-by-step explanation:
d e e z n u t z
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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What is the area of this figure
Answer:
sum of all side
8+22+6+8+8+17+5+5+13+4
100 is the area of this figure
Step-by-step explanation:
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Another Math problem i need help with big time. -1+4x^3-6+7y^2+5+6x^3-4x^3
Answer:
6x*3 + 7y*2 - 2
Step-by-step explanation:
i assumed you needed it simplified
\(\huge{\underline{\purple{A}\pink{n}\green{s}\blue{w\red{e}\orange{r}}}}\)
\(\boxed{\large\bf{⟹6x^3 +7y^2 - 2}}\)
__________________________________________
\(\large\bf{\underline{Given\: problem:}}\)
\(\bf{⇝-1+4x^3 -6 + 7y^2 +5 +6x^3 - 4x^3}\)
\(\large\bf{\underline{On\: rearranging\:the\:terms:}}\)
\(\bf{⟼\cancel{4x^3}\cancel{ -4x^3} +6x^3 +7y^2 -1-6-5}\)
\(\large\bf{⟼6x^3 +7y^2 -7+5}\)
\(\large\bf{⟼6x^3 +7y^2 -2}\)
Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card?
Answer:
give me 1hour
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
X
5
22°
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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Can someone help with this question
According to the video, this career offers a good opportunity to do what?
O supervise other workers
O learn an employer's business
Obecome physically fit
Obuild friendships with customers
Answer:
The correct answer is "learn an employers business"
Step-by-step explanation:
Supervising other workers isn't their job
Becoming physically fit wouldn't help them with that job
Building friendships with customers isn't part of the job
According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.
What is career?There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.
Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.
Therefore, the correct option is option B.
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elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
A 13 foot ladder is leaning on a wall. the bottom of the ladder has a diatance of 5 feet from the base of the wall.
What is the distance, in feet, between the ground and the top of the lafder?
Answer:
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At a fundraiser, Marco's class sold 75% of their 80 baked
goods. How many baked goods did they sell?
Answer:
60
Step-by-step explanation:
They sold 60 baked goods because 75% of 80 is equal to 60.
Answer:
60 baked goods
Step-by-step explanation:
To find the answer to this question, you will need to multiply 80 by 75%.
Now this is very simple.
Some calculators will actually give you the option to multiply by a percent. Just type 80×75% and you'll get 60.
There is another way to do this.
You could also just solve 80×.75 due to the fact that .75 is equal to 75%.
Brainliest please