Answer:
224 ft
Step-by-step explanation:
The tree makes a 90° angle with the ground, so we have a right triangle.
For the 32° angle, the height of the tree is the opposite leg. The length of the shadow on the ground is the adjacent leg.
The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
Let the length of the shadow of the tree on the ground be x.
tan A = opp/adj
tan 32° = 140 ft/x
x = 140 ft/tan 32°
x = 224 ft
Answer: 224 ft
Thank you so much thank you thank much
Answer:
6s - 300 > 210 is the answer.
Which ones are equivalent
Answer:
(12+3x)x
Step-by-step explanation:
the other 3 can be simplified into 15x, but (12+3x)x = 12x+3x^2
please help with this on the images
Answer:
52%
7 more
Step-by-step explanation:
There are 5*5 = 25 boxes in the grid
13 are shaded
13/25 = 13/25 *4/4 = 52/100 = 52% are shaded
We want 80% shaded
80/100
Divide top and bottom by 4
20/25
We need 20 shaded and have 13 shaded
20-13 = 7
We need to shaded 7 more
grade 6 math any one willing to answer ONE question??? pls answer due in 30 minutes 10 points and brainliest
Answer:
2 and 5 is the gcf and lcm is 360
Step-by-step explanation:
Answer:
GCF is 120 and LCM is 1440
Step-by-step explanation:
-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120
-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in this example). [infinity] 6 n(n + 3) n = 1
a) convergent
b) divergent
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
I assume the series is supposed to be
[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)}[/tex]
The summand can be expanded into partial fractions:
[tex]\dfrac6{n(n+3)}=\dfrac an+\dfrac b{n+3}[/tex]
[tex]\implies 6=a(n+3)+bn=(a+b)n+3a[/tex]
[tex]\implies\begin{cases}a+b=0\\3a=6\end{cases}\implies a=2,b=-2[/tex]
Then the sum is equivalent to
[tex]\displaystyle2\sum_{n=1}^\infty\left(\frac1n-\frac1{n+3}\right)[/tex]
Consider the N-th partial sum of the series:
2[(1 - 1/4) + (1/2 - 1/5) + (1/3 - 1/6) + (1/4 - 1/7) + (1/5 - 1/8) + …
+ (1/(N - 3) - 1/N) + (1/(N - 2) - 1/(N + 1)) + (1/(N - 1) - 1/(N + 2)) + (1/N - 1/(N + 3))]
Each of the negative terms (in bold) will have a positive counterpart (underlined) that cancel, so the N-th partial sum would be
[tex]\displaystyle\sum_{n=1}^N\frac6{n(n+3)} = 2\left(1+\frac12+\frac13-\frac1{N+1}-\frac1{N+2}-\frac1{N+3}\right)[/tex]
As N approaches infinity, the last three terms in the sum converge to 0, so the original sum converges to
[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)} = 2\left(1+\frac12+\frac13\right) = \boxed{\frac{11}3}[/tex]
Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 48 miles uphill. After she reached the peak she rode for 15 miles along the summit. While going uphill, she went 5 mph slower than when she was on the summit. What was her rate along the summit?
Answer: [tex]25\ mph[/tex]
Step-by-step explanation:
Given
Jane took 3 hours
First she rode 48 miles with let say with [tex]x[/tex] mph
then she rode 15 miles with speed [tex](x+5)[/tex] mph
Equate the time in each ride and equate it to total time
[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]
So, her along the summit is [tex]x+5=25\ mph[/tex]
answer asap please:)
Answer:
i think it's 52
Step-by-step explanation:
The given equation has been solved in the table.
Step1: x/2-7=-7
Step2: x/2-7+7=-7+7
Step3: x/2=0
Step4: 2•x/2=2•0
Step5: x=0
ОА.
step 2
OB
step 3
O c.
step 4
OD
The subtraction property of equality was not applied to solve this equation.
Answer:
D.
Step-by-step explanation:
The subtraction property involves subtracting the same number that is subtracted from one side of the equal sign and also subtracting same from the other side of the equal sign
For example: y + 3 = 2
To apply the subtraction property, subtract 3 from each side. Thus:
y + 3 = 2 - 3
From the given equation solved, the subtraction property was not applied in any of the steps shown.
Answer:D.)The addition property of equality was not applied to solve this equation
If cosх A/2 =3/5, find the value of cos A
Answer:
cosA = - [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
Using the double angle identity
cos2A = 2cos²A - 1 , then
cosA = 2cos²([tex]\frac{A}{2}[/tex] ) - 1 , that is
cosA = 2 × ([tex]\frac{3}{5}[/tex] )² - 1
= 2 × [tex]\frac{9}{25}[/tex] - 1
= [tex]\frac{18}{25}[/tex] - [tex]\frac{25}{25}[/tex]
= - [tex]\frac{7}{25}[/tex]
Which graph matches the equation y=2/3x-4
Answer:b
Step-by-step explanation:
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Ellipse
[tex]✔ \: \: : { \sf{ {x}^{2} + {y}^{2} = 1 }}[/tex]
Step-by-step explanation:
[tex]{ \sf{circle : \: {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}} \\ { \sf{parabola : \: {y}^{2} = 4ax }} \\ { \sf{hyperbola : \: {x}^{2} - {y}^{2} = 1 }}[/tex]
PLSSS HELP MEE
Equation: c² = n²
1. Take the square root of both sides of the equation and write the resulting equation.
2. Is there any way for this equation to be true? How?
1.
c² = n²
√c² = √n²
c = n
2.
if
c = 3 + 6 = 9
and
n = 5 + 4 = 9
Answer:
c = ±n
Step-by-step explanation:
Taking the square root of both sides yields
√c² = √n² or c = ±n
c² = n² is a quadratic equation, so we expect that there will be two roots: one positive and one negative.
What rational function is represented by g(x)?
Use the graph below to answer the question.
y
g(x)
10
g(x) =
3х2
x? - 9
5+
g(x) =
x4-3
2
logo-
-10
3x?
01
g(x) =
10
x2-3
5
Il
-9
9
-10+
Answer:
yikes
Step-by-step explanation:
honestly I would help if I could.
The function represented by graph g(x) is
g(x) = 3x² / (x² - 9)
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the 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,
g(x) = 3x² / (x² - 9)
This can be written as,
g(x) = 3x² / (x - 3)(x + 3)
This is a rational function.
This can be graphed as the given graph.
Thus,
The function represented by g(x) graph is
g(x) = 3x² / (x² - 9)
Learn more about functions here:
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Can someone help with this please
9514 1404 393
Answer:
a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5
b) 3.70
Step-by-step explanation:
a) You want ...
classic cost < XL cost
Using the given expressions for the costs, the inequality is ...
(1.75 +1.00d)/4 < (3.50 +1.50d)/5
__
b) For a 10-mile ride, the XL cost is ...
(3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70
Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.
_____
Additional comment
Each expression can be divided out to give ...
classic cost per person = $0.4375 +0.25d
XL cost per person = $0.70 +0.30d
Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.
Which coordinate pair identifies a point in the third quadrant of the coordinate plane? A) (0, 5) B) (1, −5) C) (1, 5) D) (−1, −2)
(IF YOU USE THIS QUESTION FOR POINTS I WILL REPORT YOU)
(NVM IT'S (-1,-2)
Answer:
Me need my points :D
Step-by-step explanation:
Can u help solve this
Answer:
3 or 6/2
Step-by-step explanation:
4--2 (you add there is a subtraction of a negative) over or divided by 3-1
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you[/tex]
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Answer:
The answer is correct
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
-2x = -32
x = 16
help will give brainly
Answer:
g(x) = - ( x^2)
Step-by-step explanation:
opposite of function f
what's the ratio of 16 apple and 48carrots
Answer:
the answer for ratio 16 to 14 = 1:3
Step-by-step explanation:
16:48
8:24
4:12
1:3
find the measure of the missing side in the right triangle
Answer:
[tex]12.2\text{ ft}[/tex]
Step-by-step explanation:
In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side).
In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:
[tex]7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}[/tex]
2/7 divided by 6, fastest answer (and correct) gets brainest.
Answer:
0.047619
P.S. do you need to round?
Answer:
[tex]\frac{1}{21}[/tex]
Step-by-step explanation:
Rationalize the denominator:
√7-√3 /√7+√3
help me this question plZ
[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3} } [/tex]
[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3}} \times \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} - \sqrt{3} } [/tex]
[tex] \tt \huge \leadsto \frac{7 - 3}{ (\sqrt{7 })^{2} - ( \sqrt{3})^{2} } [/tex]
[tex] \tt \huge \leadsto \frac{4}{7 - 3} [/tex]
[tex] \tt \huge \leadsto\frac{4}{4} [/tex]
[tex]\tt\huge\leadsto{1}[/tex]
Answer:
Step-by-step explanation:
To rationalize the denominator multiply the numerator and denominator by the conjugate of √7 + √3 = √7- √3
[tex]\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}=\frac{(\sqrt{7}-\sqrt{3})(\sqrt{7}-\sqrt{3})}{(\sqrt{7}+\sqrt{3})(\sqrt{7}-\sqrt{3})}\\\\\\= \frac{(\sqrt{7}-\sqrt{3})^{2}}{(\sqrt{7})^{2}-(\sqrt{3})^{2}}\\\\\\= \frac{(\sqrt{7})^{2}-2*(\sqrt{7})*(\sqrt{3})+(\sqrt{3})^{2})}{7-3}\\\\=\frac{7-2\sqrt{21}+3}{4}\\\\=\frac{10-2\sqrt{21}}{4}\\\\=\frac{2(5-\sqrt{21})}{4}\\\\=\frac{5-\sqrt{21}}{2}[/tex]
Finish the following table for the given function with x as the independent variable
Answer:
hi?
Step-by-step explanation:
20 POINTS QUICK PLEASE HELP! D:
A rock starts rolling down a slope of measure 0.75. How far (in meters) from its starting point is the Rock when it is 60 meters below its starting point?
Answer:
60 * -.75 = -45 ... 45 meters below starting point
Step-by-step explanation:
Find the known measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
KM = 10.68
K = 55 degrees
M = 35 degrees
Step-by-step explanation:
Firstly, we can use Pythagoras’ theorem to calculate the length of the hypotenuse which is KM
Mathematically, this is the sum of the squares of the two other sides KL and LM according to Pythagoras’ theorem
Thus, we have it that;
KM^2 = KL^2 + LM^2
KM^2 = 6.2^2 + 8.7^2
KM^2 = 114.13
KM = √(114.13)
KM = 10.68
We have two angles to calculate
Let us start with the angle at vertex K
The opposite side to is is the length LM which is 8.7
The adjacent side to it is the length 6.2
Mathematically, the relationship between the two can be calculated using the Tan ; as the Tan of an angle is the ratio of the length of the opposite to that of the adjacent
thus;
Tan K = 8.7/6.2
K = arc Tan (8.7/6.2)
K = 54.5 which is 55 degrees
since we have a right angle , we only have to subtract he measure of angle K from 90 to get the measure of M
M = 90-55 = 35 degrees
HELPASAP
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
Answer:
add an attachm3nt to make iy clear
Covert °F to °C .
(*SHOW YOUR WORK*)
6) 82°F to °C = ___________
7) 104°C to F =____________
8) 68°F to C = ____________
9) 47°C to F =_____________
Answer:
6 ≈ 27.78C
7 = 219.2F
8 = 20C
9 = 116.6F
Step-by-step explanation:
6. From the formula C/5 = (F-32)/9
We get C/5 = (82-32)/9
C = (50/9)*5
C ≈ 27.78
7. From the formula C/5 = (F-32)/9
We get 104/5 = (F-32)/9
F-32 = 104/5 * 9
F-32 = 187.2
F = 219.2
8. From the formula C/5 = (F-32)/9
We get C/5 = (68-32)/9
C/5 = 36/9
C/5 = 4
C = 5 * 4
C = 20
9. From the formula C/5 = (F-32)/9
We get C/5 = (F-32)/9
47/5 = (F-32)/9
(47/5)*9 = (F-32)
84.6 = F-32
F = 84.6 + 32
F = 116.6
Formula Used
Temperture Conversion
C/5 = (F-32)/9 = R/4 = (K-273)/5
C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin
Note
Please use the correct subject next time
6) 82°F to C°
Formula
(82°F − 32) × 5/9 = 27.78°C
82°F=27.78°C
7) 10°C to °F
Formula
(104°C × 9/5) + 32 =219.2°F
104°C =219.2°F
8) 68°F to C°
Formula
(68°F − 32) × 5/9 = 20°C
68°F=20°C
9) 47°C to °F
Formula
(47°C × 9/5) + 32 = 116.6°F
47°C =116.6°F
Find the slope of the line
Brittany and Natalie, start cycling together from their home to school, which is 14.4 miles away. Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.
How much faster is Natalie (in mph)?
The result shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph faster than Natalie.
How to calculate average speed?The average speed can be calculated by dividing the distance moved by the time taken. That is;
Average speed = Distance/time
According to this question, Brittany and Natalie start cycling together from their home to school, which is 14.4 miles away.
However, Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.
First, we calculate the average speed of each individual as follows:
Natalie = 14.4miles ÷ 0.67hrs = 21.5mphBrittany = 14.4miles ÷ 0.33hrs = 43.64mphThis shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph.
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The fastest and correct answer gets brainiest! Pls don't send file links that open different tabs
Answer:
16/9
Step-by-step explanation:
(4/3) ^2
(4/3) * (4/3)
First the numerators
4*4 = 16
Then the denominators
3*3 = 9
Numerator over denominator
16/9
[tex]\frac{16}{9}[/tex]
Answer:
Solution given:
[tex](\frac{4}{3})^{2}=\frac{4²}{3²}=\frac{16}{9}[/tex]