Answers
Answer:
y = 16.5 ft
Step-by-step explanation:
• in the right triangle BCD :
cos(∠BCD) = 8/14
________
• In the right triangle ABC :
cos(∠BCA) = 14/(8+y)
________
Since ∠BCD and ∠BCA are the same one
then
cos(∠BCD) = cos(∠BCA)
Therefore
[tex]\frac{8}{14} =\frac{14}{y+8}[/tex]
[tex]\Longleftrightarrow 8(y+8)=14^2[/tex]
[tex]\Longleftrightarrow 8y+64=196[/tex]
[tex]\Longleftrightarrow 8y=196-64[/tex]
[tex]\Longleftrightarrow 8y=132[/tex]
[tex]\Longleftrightarrow y=\frac{132}{8}[/tex]
[tex]\Longleftrightarrow y=16.5[/tex]
Related Questions
The chart below shows the distribution of the number of books in a library.Sahira chooses a random sample from the library and records the type of books in the chart below.
Answers
Answer:
you have jbjhgbjhih7g6ginyfygino
Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (3,0)
Answers
Answer:
y = 4x - 12
Step-by-step explanation:
Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms.
Answers
Line A has a gradient of 3 and a y-intercept of -7
The equation of line A is y = 3x - 7
A line parallel to A passing through P will have the form y = 3x + c
Substitute the values of x and y at P(2,7)
7 = 3 x 2 + c
c = 1
Equation of parallel line through P is y = 3x + 1
A line perpendicular to A through P will have a gradient of -1/3
7 = -1/3 x 2 + c
c = 7 + 2/3
Equation of line perpendicular to A through P is y = (-1/3)x + 7 2/3
You may prefer the c value as the improper fraction 23/3
Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.
Answers
Answer:
D
Step-by-step explanation:
The graph in the picture given is obviously a function of f(x) = x^3 which answers whether the graph is a function or not. In addition, the answer the part on why it's a graph, it's because it passes the vertical line test.
The two-way frequency table below shows the preferred communication method of employees at a company
Answers
The percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is 20.48%
Complete questionThe two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company.
See attachment
What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication?
A. 44.79% B. 20.48% C. 48.84% D. 67.19%
How to determine the percentage of employee that prefers email?From the attached image, we have:
Email 8 or more = 43
The total number of employees in the company is
Total = 210
So, the percentage that prefers email is
Percentage = 43/210 * 100%
Evaluate
Percentage = 20.48%
Hence, the percentage of employees is 20.48%
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PLEASE HELP - image attachment below, thanks! :)
Answers
find the maxium value of 16x+ 96y
Answers
follow p
Someone pls help I don’t really understand graphing
Answers
y=Mx+c (M is slope and c is y-intercept)
First find slope and use any two points on the line I prefer picking (-3,0) and (0,2)
= y2-y1/x2-x1 = 2-0/0-(-3) = 2/3
Y=2/3x+c (now last step we find c by replacing any of the giving points)
2=2/3(0)+c
C= 2
Final answer :
Y=2/3x+2
Please help!! Consider the equation x/5 -2=11, where x represents the
number of basketball players that have signed up for a
new league. What is a possible scenario that would be
modeled by this equation? Consider how many teams in
the league and the number of players on each team this
equation could describe
Answers
Answer:
x=65
Each NBA team can have a maximum of 15 players, 13 of which can be active each game.
65/5=13 so it's safe to say tgat 5 team can be crated
Step-by-step explanation:
x/5-2=11-->transposing x/5=11+2---->x=13×5--->x=65
verification 65/5-2=11--->13-2=11
If students sit 4 per row on a rollercoaster, 6 students are left without a seat.
If they sit 6 per row, there are 3 rows left empty. How many students are
there?
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The total number of students is 54.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the number of columns in the rollercoaster be represented by x.
If students sit 4 per row on a rollercoaster, 6 students are left without a seat. Therefore, the number of students can be written as,
Total number of students = 4x + 6
If they sit 6 per row, there are 3 rows left empty. Therefore, the total number of students can be written as,
Total number of students = 6(x-3)
The total number of students can be written as,
4x + 6 = 6(x - 3)
4x + 6 = 6x - 18
2x = 24
x = 12
Now, the total number of students in the class are,
4x + 6 = 4(12) + 6 = 54
Hence, the total number of students are 54.
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Make "t" subject by algebra:-
s=ut+at2
Answers
s=t(u + a2)
s/(u + a2) =t
Suppose y varies inversely as x, and y = 16 when x = 1/2. Find y when x = 17.
Answers
Finding the proportionality constant :
y = k/x16 = k/(1/2)k = 8Finding y when x = 17 :
y = 8/(17)y = 8/17The value of y is 8/17 when x = 17.
Solve: −0.06+7.6p<−127.74
A. p<−42.6
B. p<−34.57
C. p>−16.8
D. p<−16.8
Answers
Answer:
D
Step-by-step explanation:
- 0.06 + 7.6p < - 127.74 ( add 0.06 to both sides )
7.6p < - 127.68 ( divide both sides by 7.6 )
p < - 16.8
Need help to understand how to do this.
Answers
Answer: -1(x+2)^2+10
Step-by-step explanation:
1. The coefficient of -x^2 is just the number in front, which in this case would be a = -1 So now the function is -1(x^2+4x)+6 since negative one has been factored out of the first two terms.
2. Half of the coefficient of x would be 2 since x has a coefficient of 4, and half pf 4 is 2. Squared, it is 4. That will be added inside the bracket. Subtracted on the outside is the same equation but multiplied by a, which we found out was -1 in the beginning. So, the function becomes -1(x^2+4x+4)+6-(-4).
3. Factor the inside equation to find that it’ll become (x+2)^2, and simplify the outside to get 10. The function will now be;
f(x)=-1(x+2)^2+10
Hope that made sense and make sure to check just in case I did the math wrong :]
Please help worth my math
Answers
a)QM and PM
b)QMN and NMQ
c)M
The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -8 ≤ x ≤ 8?
Answers
The average rate of change of the function is -35/16.
How to find the average rate of change of the function?We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.
so
at x₁ = -8, f(x₁) = f(-8) = 30
at x₂ = 8, f(x₂) = f(8) = -5
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(8) - f(-8) ] / [8-(-8)]
= [-5 - (30)] / [16]
= [-35] / 16
Therefore, the average rate of change of the function is -35/16.
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It is given that x² - y² = 30 and x - y = 5. Find the value of (x + y)².
Answers
Answer:
36
Step-by-step explanation:
when solving for two variables, we need to find one variable in terms of the other.
so, we can turn:
x - y = 5
into
x - y = 5
+ y + y
x = y + 5
Then, we can substitute "x" in the given equation with "y + 5"
x² - y² = 30
(y+5)² - y² = 30
(y + 5)(y + 5)
F: y² O: +5y I: +5y L: 25 {foil}
y² + 10y + 25 - y² = 30 {cancel y² - y²}
10y + 25 = 30
-25 -25
10y = 5
÷10 ÷10
y = 0.5
x = y + 5
x = 0.5 + 5
x = 5.5
check:
(5.5)² - (0.5)²
30.25 - 0.25 = 30
30 = 30
(TRUE)
now, we must find the value of:
(5.5 + 0.5)²
= (6)²
= 36
So, the value of (x + y)² is found to be 36
hope this helps!!
Answer:
(x + y)² = 36
Step-by-step explanation:
x² - y² ← is a difference of squares and factors as
(x - y)(x + y) , then
5(x + y) = x² - y² = 30 ( divide both sides by 5 )
(x + y) = 6 , then
(x + y)² = 6² = 36
Sandhu lights a candle at 6 pm. It is 30 cm high. At 7pm, the candle is 27 cm high. At 8pm, it is 24cm high. a) How many cm does the candle burn down every hour? b) How high is the candle at 11 pm?
Answers
Assume that the notation (a,r,s,t) means multiply q and r, then add the product to s and (2,6,4,8)+(4,7,2,6)? Please show work and choose one of the choices like e f g or h
Answers
=============================================
Work Shown:
[tex]\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\[/tex]
Let m = 2 so we can use this result later.
[tex]\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\[/tex]
Let n = 5 so we can use this result later.
Add the two results.
m+n = 2 + 5 = 7.0 is the final answer.
PLLLEAASSEE HELP ME!!
AND IF YOU DON"T MIND EXPLANING TO ME HOW TO SLOVE THESIS TYPE OF PROBLEMS CAUSE IM SO CONFUSED
Answers
Answer:
75 Seconds
Step-by-step explanation:
First divide 90,000 by 16 then square root that answer for 75 and when you plug it in you'll end up with -90,000 + 90,000
pleasee help with function graphing
Answers
Answer: A. The function has two distinct real zeros.
Answer:
C. The function has four distinct real zeros.
Step-by-step explanation:
The function intersects y=0 at x=1/2, 4, and 6 twice. It has two solutions at 6 twice as it is a behavior of polynomial or rational functions
help me with this question please, thank you !
Answers
Answer:
2
Step-by-step explanation:
[(27divided by (-3)-9] divided by [15-21}
=[-9-9] divided by 3
= 6divided by 3 = 2
if answer is correct so mark me as brain lest :-)
work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed
Answers
We need radius
πr²h=1715πr²(18)=1715r²=30.3r=5.5cmNow
LSA
2πrh2π(5.5)(18)11(18)(3.14)198(3.14)622.72cm²Answer:
813.4 cm² (nearest tenth)
Step-by-step explanation:
Volume of a cylinder
[tex]\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
h = 18cmV = 1715 cm³Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:
[tex]\implies \sf 1715=\pi r^2 (18)[/tex]
[tex]\implies \sf r^2=\dfrac{1715}{18 \pi}[/tex]
[tex]\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}[/tex]
Surface Area of a Cylinder
[tex]\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Substitute the given value of h and the found value of r into the formula and solve for SA:
[tex]\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)[/tex]
[tex]\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)[/tex]
[tex]\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)[/tex]
[tex]\implies \sf SA=813.3908956...[/tex]
Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)
PLEASE HELP (not good at math)
Answers
Answer:
-7,-6,-5 are the values when x=0,1,2
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
y =x - 7
Substitute x = 0 and find the y-value
y = 0 - 7
y = -7
(0,-7)
Substitute x = 1,
y = 1 - 7
y = - 6
(1,-6)
Substitute x = 2,
y = 2 - 7
y = -5
(2,-5)
MisterBrainly (also known as Enstine) lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.
Answers
Answer: I love the picture example
Step-by-step explanation:
We will first find the heigh of the kite from his hand to a point in the air.
Then, we will add 3 feet to the result.
So, how to find the vertical line of the right triangle?
Well, we have the vertical line = x
We also got the hypothenuse, equal to 100 feet
And also theta, equal to 25 degrees.
We can calculate sine because the sine of 25 degrees = opposite side (the height line) over (divided by) the hypothenuse
sin(25) = x/100 feet
multiply 100 feet on both sides, to cancel to 100 feet on the right side.
100sin(25) = x
100(0.442) = x
x = 42.2 feet
Height = 42.2 + 3 feet (the yoda's hand =) = 45.2 feet (total)
Rounded to the nearest tenth.
I also did the verification, so it is the correct answer.
Easy as that =]]
Height of the kite from 3ft above the ground
[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin25=\dfrac{P}{100}[/tex]
[tex]\\ \rm\Rrightarrow P=100sin25[/tex]
[tex]\\ \rm\Rrightarrow P=42.26\approx 42ft[/tex]
Height from the ground
42+345ft(Rounded)What is the difference between the answers when numbers are switched in a subtraction?
Answers
14x - 12 = 16
PLS HELP HURRY
Answers
Answer:
[tex]\fbox {x = 2}[/tex]
Step-by-step explanation:
Given :
14x - 12 = 16
Add 12 to each side :
14x - 12 + 12 = 16 + 12
14x = 28
Divide each side by 14 :
14x/14 = 28/14
x = 2
Why? Well, 14 x 2 = 28. 28 - 12 gives us 16, and would therefore prove the equation to be true. You could also solve this by adding 16 and 12 to get a total of 28. Then, you could have the expression 14x = 28. From there, you could divide 28 by 14 to get that, as mentioned earlier, x = 2.
What's an algorithm ?
Answers
Answer:An algorithm is a set of instructions for solving a problem or accomplishing a task.
Step-by-step explanation:
Any series of well defined steps that shows a procedure for solving a given type of problem is called an algorithm.
Step-by-step explanation:
Hope it helps you !!Solve for x. Round to the nearest tenth, if necessary
Answers
The value of x in the triangle to the nearest tenth is calculated as; 1.1
How to use trigonometric ratios?
We have different trigonometric ratios such as;
sin θ = opp/hyp
cos θ = adj/hyp
tan θ = opp/adja
Thus, from the given triangle we can use the formula for cos θ to get the value of x. Thus;
cos 41° = 0.8/x
x = 0.8/cos 41
x = 1.06
To the nearest tenth, we have x = 1.1
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Jean had $25.86 in her pocket. If shoes cost $7.50 a pair plus 10% of tax. How many pairs can she buy?
Answers
Answer:
3 pairs
Step-by-step explanation:
10% of 7.50 is 0.75. So one pair will cost $8.25. Now, 25.86/8.25 and you get 3 pairs
Answer:
[tex]\fbox {3 pairs}[/tex]
Step-by-step explanation:
Cost of 3 pairs with tax :
⇒ 7.50 × 3
⇒ 22.50
* Adding tax *
⇒ 22.50 + 22.5 (0.1)
⇒ 22.50 + 2.25
⇒ 24.75
∴ Since 24.75 is less than 25.86, Jean can buy 3 pairs of shoes.
