Answer:
519.8 feet
Step-by-step explanation:
A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.
We solve this question using the Trigonometric function of Sine
sin theta = Opposite/ Hypotenuse
Theta = 12°
Hypotenuse = 2500 feet
Opposite = Height of the hill = x
Hence,
sin 12 = x/ 2500 feet
Cross Multiply
x = sin 12 × 2500 feet
x = 519.77922704 feet
Approximately = 519.8 feet
The height of the hill is 519.8 feet
Here is a linear equation in two variables: 2x+4y−31=123. Solve the equation, first for x and then for y.
Answer:
[tex]x = 77 - 2y[/tex]
[tex]y = \frac{77 - x}{2}[/tex]
Step-by-step explanation:
Given
[tex]2x + 4y - 31 = 123[/tex]
Required
Solve for x and for y
[tex]2x + 4y - 31 = 123[/tex]
Add 31 to both sides
[tex]2x + 4y - 31+31 = 123+31[/tex]
[tex]2x + 4y = 154[/tex]
Solving for x
Subtract 4y from both sides
[tex]2x + 4y - 4y = 154 - 4y[/tex]
[tex]2x = 154 - 4y[/tex]
Divide by 2
[tex]x = 77 - 2y[/tex]
Solving for y
[tex]2x + 4y = 154[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 4y = 154 - 2x[/tex]
[tex]4y = 154 - 2x[/tex]
Divide by 4
[tex]y = \frac{154 - 2x}{4}[/tex]
Split
[tex]y = \frac{77 - x}{2}[/tex]
Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest
rttrtbtrertbr4gbigbnerunburhurh
The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 25 ounces of trail mix?
The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph of the function.
(Enter the xxx-intercepts from least to greatest.)
This is the graph of a
function.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
The xxx-intercepts of the graph (in order from least to greatest) are located at x=\:x=x, equals
and x=\:x=x, equals
.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value y\:yy
\:000.
Answer:
This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.
The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.
The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.
The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.
Step-by-step explanation:
1 / 7
Let's use the graph to complete the sentences one by one.
Hint #22 / 7
A function with a constant rate of change produces a graph that is a line, and we say the function is linear. If the rate of change of the function is not constant, the graph will not be a line, and we say the function is nonlinear.
The graph shown is not a line. Therefore, we are looking at the graph of a nonlinear function.
Hint #33 / 7
The yyy-intercept of a graph is the value of the function when \red{x=0}x=0start color #df0030, x, equals, 0, end color #df0030. The yyy-intercept of this graph is the function value \blue{y=-6}y=−6start color #6495ed, y, equals, minus, 6, end color #6495ed.
Hint #44 / 7
The xxx-intercepts of a graph are the values of \red{x}xstart color #df0030, x, end color #df0030 for which \blue{y=0}y=0start color #6495ed, y, equals, 0, end color #6495ed. The xxx-intercepts of this graph are located at \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030.
Hint #55 / 7
The maximum value of \blue{y}ystart color #6495ed, y, end color #6495ed occurs at the top of the bump in the graph. The coordinates of the top of the bump are (\red{4},\blue{2})(4,2)left parenthesis, start color #df0030, 4, end color #df0030, comma, start color #6495ed, 2, end color #6495ed, right parenthesis. Therefore, the maximum value is \blue{y=2}y=2start color #6495ed, y, equals, 2, end color #6495ed, and it occurs when \red{x=4}x=4start color #df0030, x, equals, 4, end color #df0030.
Hint #66 / 7
The graph of the function is above the xxx-axis for values of \red{x}xstart color #df0030, x, end color #df0030 between \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030. For these values of \red{x}xstart color #df0030, x, end color #df0030, the function value y\geq 0y≥0y, is greater than or equal to, 0.
Hint #77 / 7
We can now complete the sentences:
This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.
The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.
The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.
The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.
Related content
jack tripper has 5 girls in his home. He takes away 3 of them to do something that should not be named how many girls r left
Answer:
uh i think 2 i just want points
Step-by-step explanation:
En el siguiente mapa, se utilizó la escala 2
130 . Encuentre las distancias reales de Quibdó a la
ciudad de Medellín y de Quibdó a la ciudad de Cali (Sugerencia: mida estas distancias en el mapa
con una regla).ayudaaaaaaaaaaaaaaaaaaaaaaaa
Lindas aunt zoe charges her a nominal amount for watching her two children aunt zoe charges $2.50 per day plus $1.75 per hour one day linda paid her aunt $14.75 how many hours did aunt zoe watch the children
Answer:
7 hours
Step-by-step explanation:
the function of the earning of Zoe = 2.50 + 1.75h
2.5 = base fixed amount
1.75 varies based on the hours
h = hours
2.50 + 1.75h = 14.75
to solve for h
subtract 2.5 from both sides and then divide by 1.75
14.75 - 2.5 = 1.75h
12.25 = 1.75h
h = 7
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
Find the missing side of this right
triangle.
Answer: I believe it’s 15
Step-by-step explanation:
In Las Vegas, the sales tax is 8.375%. How much sales tax would there be on a $750 flat screen TV? *
Answer:
Step-by-step explanation:
Sales tax = $750 × 0.08375 = $62.8125
Answer:
[tex]\boxed {\boxed {\sf \$62.81}}[/tex]
Step-by-step explanation:
To find the sales tax, multiply the price by the tax rate.
[tex]sales \ tax=price * tax \ rate[/tex]
The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.
8.375/100=0.08375 or 8.3750⇒.8375⇒ 0.08375Substitute the values into the formula.
[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]
Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.
[tex]sales \ tax = 62.81[/tex]
The sales tax on the TV is approximately $62.81.
Reduce this algebraic fraction.
27c^4d^5
--------------
9c^7d^4
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]
[tex]\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}[/tex]
The rectangular floor of a classroom is 36 feet in length and 24 feet in width. A scale
drawing of the floor has a length of 12 inches. What is the area, in square inches, of
the floor in the scale drawing?
Answer:
96 ft^2
Step-by-step explanation:
If the scale drawings length is 12 and the floors length is 36 we do 36/12 and find out that the scale drawing is 3 times smaller than the actual floor.
So to find the width so we can find the area we divide 24 by 3
24/3=8
then to find area we multiply the length and width
8x12=96
have a great day :D
i would be 8 i did the math on a calculator
A bakery sells one cupcake for $2.75 or a dozen cupcakes for $25.80. If you
purchase a dozen cupcakes, how much do you save on each cupcake?
A $23.05
B $3.75
C $2.15
D $0.60
please help !!
Answer:
D $0.60
Step-by-step explanation:
Since a dozen is equal to 12, we will first multiply $2.75 by 12, and we get $33. Now subtract $33 by $25.80 dollars, which is $7.2. Now we know that we saved $7.2 out of a dozen cupcake's, but we have to find how much we saved on each cupcake. So lets divide $7.2 by 12 and we get $0.60. Therefore, you saved $0.60 on each cupcake.
Ricardo is buying juice boxes for snack packs. Which is the best buy?
In a certain triangle, two of the sides have measures of 8 and 10. If the triangle is isosceles, then which of the following could be the measure of the third side?
A. 18
B. 2
C. 20
D. 8
Answer:
C. 20 could be the third side of the isosceles triangle
Find the surface area of rectangular prism
what type of phone do i have can u guess by the looks of it
Answer:
apple
Step-by-step explanation:
Answer:
i have a iphone 11...
Step-by-step explanation:
You bought a $1750 worth of stocks in
2012. The value of the stocks has been
decreasing by 12% each year. Let y = the
value of the stocks and let x = the
number of years since 2012. Write and exponential function to represent this situation.
What will your stock be worth in 2020? Round your answer to the nearest cent.
Answer:
f(x) = 1750 x 0.88^x
It will be worth $629.36 in 2020.
Step-by-step explanation:
ANSWER ASAP!! i’ll give brainliest!!
Oy=x-3
Oy=-x+3
Oy=-x-3
Ov=x+3
Answer:
3rd one thank you let me know if u got it rigbt
Which one is the answer
Answer:
2667
Step-by-step explanation:
35 meters wide at the base
20.6 meters tall
h = 20.6 m
slant height s = 27.029798371427 m
side length a = 35 m
lateral edge length e = 32.200310557509 m
1/2 side length r = 17.5 m
volume V = 8411.6666666667 m3
lateral surface area L = 1892.0858859999 m2
base surface area B = 1225 m2
total surface area A = 3117.0858859999 m2
in all explanation, 2667 is the final answer.
hope this helped!
A baseball player gets a hit 20% of the times he is at bat. Out of the next 15 times at bat, how many hits can you expect the player to get?
Answer:
...
Step-by-step explanation:
The batsman will hit =20% of 15
= 15/5
= 3
Answer:
3
Step-by-step explanation:
15 x 0.20
Find the measure of the angles and arcs
here have a good day
Answer:
multiple both of them and you get your answer
Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?
Answer:
Step-by-step explanation:
When m+3=-5, collection of like terms says; -5-3
Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent
consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169
Answer:
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}\\ \\ sin\theta=\frac{119}{169}\ (answer\ C)[/tex]
how do you solve for x.
Answer:
X=10
Step-by-step explanation:
71+50=121
180-121=59
So (6x-1)=59
(6x-1)=59
+1 +1
6x=60
6x/6=60/6
x=10
What is the graph of the equation y + 3 = 2(x + 3)?
Answer:
y + 3 = 2(x + 3)
[point-slope; y – y₁ = m(x – x₁)]
y = 2x + 3 [slope-intercept; y = mx + b]
2x – y = -3 [standard form; ax + by = c]
is it a acute, obtuse, or Right
Answer:
Right triangle
Step-by-step explanation:
it has one 90 degree angle
Answer:
Right Triangle
Step-by-step explanation:
10% of what number is 13
Answer:
[tex]\boxed{\textsf{ The required answer is \textbf{130}.}}[/tex]
Step-by-step explanation:
Let us take that number be x whose 10% is 13. So According to Question 10% of x is 13. This implies ,
☯️ [tex]\underline{\underline{\boldsymbol{According\ to\ the\ Question :-}}}[/tex]
[tex]\sf\implies 10\% \ of \ x = 13 \\\\\sf\implies \dfrac{10}{100}\times x = 13 \\\\\sf\implies x =\dfrac{13\times 100}{10} \\\\\sf\implies\boxed{\pink{\frak{ x = 130 }}}[/tex]
....how do you solve this? 5 √6 ( 4 - √10 )
Answer:
10.29
Step-by-step explanation:
5 √6 ( 4 - √10 )
√6= 2.45
5x2.45=12.25
√10=3.16
4-3.16=0.84
12.25(0.84)=10.29
What is the formula for total surface area of
cylinders?
Thanks in advance
Answer:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
Step-by-step explanation: