In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.
Answer:
11.1 feet
Step-by-step explanation:
From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;
Cosθ = opposite / Adjacent
Cos 20 = 10.5 / x
x * Cos 20 = 10.5
x = 10.5 / cos 20
x = 11.174 feets
Y=(x+2)(x-4)
Expanded form:
Y-intercept
I need help does the table represent a function
Answer:
b. no, because one x-value corrseponds to two different y-values
Step-by-step explanation:
for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.
In the diagram AB is parallel to CD. Calculate the value of A ?
The image of the diagram is missing, so i have attached it.
Answer:
a = 30°
Step-by-step explanation:
From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.
The sum of interior supplementary angles is 180°
Thus;
5a + a = 180
6a = 180
a = 180/6
a = 30°
if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)
Answer:
[tex]3^x+5x+3[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=3^x+10x[/tex]
and
[tex]g(x)=5x-3[/tex]
We need to find (f-g)(x).
We know that,
(f-g)(x) = f(x)-g(x)
[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]
So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2+6x+4
y=x
Answer:
x= -2
y= -2
Step-by-step explanation:
y = 8x + 14
y = x
Now by subtraction of these two equation,
So 0 = 7x + 14
x = -2
y = -2
use counters to add 2+ -1.
Answer:
the answer is 1
Step-by-step explanation:
2+(-1)
2-1
1
+ and - always result in - so +(-1) is -1 and 2-1 is 1.
Answer:
1
Step-by-step explanation:
Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1
which functions have a range of.. SELECT MORE THAN 1
Answer:
The 3rd and the 5th
Step-by-step explanation:
The graphs of the 3rd and the 5th functions are straight lines
The 1st and 2nd are parabolas
The 4th is an exponential
You must look at the graph: it shall include all the real values for the y coordinate
"which of the numbers below can be classified as an integer" and the options are . 10÷2 , -0.3 ,√20 ,. 0.4
Answer:
The number 10/2 = 5 is an integer.
Step-by-step explanation:
An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...
Integer can be positive, negative of zero.
[tex]\frac{10}{2}=5[/tex]
It is a whole number so it is an integer.
- 0.3
It is not an integer as it has a fractional part.
[tex]\sqrt20[/tex]
It also has a fractional part, so it is not an integer.
0.4
It also has a fractional part, so it is not an integer.
Which ordered pair is the best estimate for the solution of the system of equations?
y=32x+6
y=14x−2
(−7, −3.5)
(−7, −4)
(−6.5, −3.5)
(−6, −3)
Answer:
x=-4/9, y=-74/9.
Step-by-step explanation:
y=32x+6
y=14x-2
-----------
32x+6=14x-2
32x-14x+6=-2
18x+6=-2
18x=-2-6
18x=-8
x=-8/18
simplify
x=-4/9
y=14(-4/9)-2=-56/9-2=-74/9
Find the perimeter of the given image. Round your answers to the
nearest tenth.
Answer:
52.6 mm
Step-by-step explanation:
split this figure and form one square and semi circle
for semicircle
radius = 4mm
find diameter
radius = diameter /2
4*2 = diameter
8 mm = diameter
now find perimeter of square
POS = 4l
=4*8
=32 mm
perimeter of semicircle= πr + 2r
=3.14^4 + 2*4
=12.56 + 8
=20.56 mm
area of the figure = perimeter of square + perimeter of semicircle
=32 + 20.56 mm
=52.56 mm
=52.6 mm
split ur figure as shown below
Answer:
28.6 (by the assumption that 4 is the radius)
Step-by-step explanation:
4 is the radius.
Circumference of a circle is πd or 2πr
But its a semi circle so our equation will be 2πr/2 + d
So subsitute, 2* π*4/2 + 8
=8 π/2 + 8
=4 π + 8
=20.6
This is only the circumference of the semi-circle
Now for the square, perimeter is equal to 4*S
so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32
Now add
32+20.6
52.6
Round
52.6
All this is on the assumption that 4 is the radius.
Question 4(Multiple Choice Worth 1 points)
(07.02 MC)
An equation is shown below:
4(2x - 3) = 1
Which of the following correctly shows the steps to solve this equation?
Step 1: 6x - 7 = 1; Step 2: 6x = 8
Step 1: 6x + 1 = 1; Step 2: 6x = 0
Step 1: 8x - 12 = 1; Step 2: 8x = 13
Step 1: 8x - 3 = 1; Step 2: 8x = 4
Answer:
Step 1: 8x - 12 = 1; Step 2: 8x = 13
Step-by-step explanation:
Given equation:
4(2x - 3) = 1
Step 1: open the parenthesis
4(2x - 3) = 1
8x - 12 = 1
Step 2: collect like terms
8x - 12 = 1
8x = 1 + 12
8x = 13
step 3: divide both sides by the coefficient of x
8x = 13
x = 13/8
The correct steps to solve the equation:
Step 1: 8x - 12 = 1; Step 2: 8x = 13
How do you solve x^2+5x-14=0
Answer:
x = -7 , x = 2
Step-by-step explanation:
[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]
Answer:
x = - 7, x = 2
Step-by-step explanation:
Solve by factoring , that is
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
Which sign makes the statement true?
5.01 x 10-3 ? 0.00105
Answer:
47.1 > .00105
Step-by-step explanation:
Given :
5.01×10-3 ? 0.00105
Now,
5.01×10-3 ? 0.00105
50.1-3?0.00105
47.1?0.00105
From the above equation, we can say that 47.1 is greater than 0.00105
Therefore, 47.1 > .00105
A 12 pack of lemonade costs $5.40.how much do each lemonade costs?
Math help please show work thanks
Answer:
The curve surface area(CSA) of a cylinder is 2πrh.
Since diameter=1.5 in.
radius=diameter/2
=1.5/2 in.
=0.75 in.
And, the height of the bottle is 5 in.
Now,
CSA=2πrh
=2π*0.75*5 in^2
=15π/2 or 23.56 in^2
The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.
help help helpppppppppp
Answer:
28 answer write ✍️ now ok
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 5?
A)222
B)185
C)847
or none of these
Answer:
185 is divisible by 5.
Step-by-step explanation:
Anything that ends in a 0 or 5 can be divisible by 5.
Answer:
Hello There!!
Step-by-step explanation:
The answer is B)185 because a number divisible by 5 ends in 0 or 5.
hope this helps,have a great day!!
~Pinky~
Help me pls quick with the right answer
Answer:
Yes
Step-by-step explanation:
Every time the sugar goes up by 1/3 or by three it keeps the same raito
Please help need answer. NO LINKS
Answer:
Answer choice C) 3a-3
Step-by-step explanation:
Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.
Can y’all please help me which equation has an infinite number
Answer:
B
Step-by-step explanation
: )
Please help! Will give brainliest! Lucy is going to spin the spinner 85 times. the spinner is divided into equal sections
We can say 85 because we will spin it 85 times and it can happen we will not C
Not sure at all ....
What's the area of the entire shape?
Answer:
30
Step-by-step explanation:
you need to multiply its length by its with
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.
y=3x-2
3x-y=2
3x-y=-2
y=2-3x
y=2(x+3)
Answer:
1,2, and 5
Step-by-step explanation:
y=2*(3+x)
y=3x-2
3x-y=2
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 10?
A)222
B)185
C)847
or none of these
Answer:
none of these
Step-by-step explanation:
A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.
Answer:
-0.8
Step-by-step explanation:
Given that :
Mean of test score, m = 72
Standard deviation of test score, σ = 5
Trainee's score, x = 68
Since the distribution is Symmetric ;
The Zscore Cann be calculated thus :
Zscore = (x - mean) / standard deviation
Zscore = (68 - 72) / 5
Zscore = - 4 / 5
Zscore = - 0.8
What is the distance between the points (5,0) and (2,1)?
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
3^2+1^2=c^2
9+1=c^2
c^2=10
c= [tex]\sqrt{10}[/tex]
Which expression is equivalent to 96?
Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{96}[/tex]
[tex]\sqrt{2*2*2*2*2*3}[/tex]
[tex]2*2\sqrt{2*3}[/tex]
[tex]4\sqrt{6}[/tex]
The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
4
5
7
13
Answer:
4, 5, and 7
Step-by-step explanation:
Length of two sides are 4 and 7 feet.
Thier sum = 4 + 7 = 11 feet.
We know that, sum of two sides is always larger than the third side.
So, 4, 5, and 7, can not be the third side here.
Answer: 13
Step-by-step explanation: a= 4,
B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13
Please help I’ll give brainliest
