Answer:109.1 feet
Step-by-step explanation:
What function uses the ADJACENT and the HYPOTENUSE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}
cosN=
hypotenuse
adjacent
=
x
73
\cos 48=\frac{73}{x}
cos48=
x
73
x\cos 48=73
xcos48=73
Cross multiply.
\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}
cos48
xcos48
=
cos48
73
Divide each side by cos 48.
x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}
x=
cos48
73
=109.0968≈109.1 feet
Type into calculator and roundto the nearest tenth of a foot.
Find a polynomial f(x) of degree 4 that has the following zeros. 0, -4, 6, -8
Answer: -10 I think
Step-by-step explanation:
A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?
Answer:
256Step-by-step explanation:
Read the answer carefully and then you'll know hey i need to multiply 8 times 32.
And what do you get...... 256Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.In this problem:
Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]The equation is:
[tex]h(t) = -4.9t^2 + 32t + 8[/tex]
Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].
The maximum height is the output of the vertex, which is:
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Then, with the coefficients of this question:
[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which [tex]h(t) = 0[/tex], thus:
[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]
[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]
[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at https://brainly.com/question/24626341
Please help! I don't understand. view photo.
Answer:
Step-by-step explanation:
they are asking about the exponential
b/c it has a 3 in the exponent, it's a cubic and because it has two terms you can call it a binomial
II.
What is the area of this parallelogram?
in2
h = 5 in.
b = 6 in.
Pls help :)
Answer: 30 in²
Step-by-step explanation:
Area = base x height
A = 6 in x 5 in
A = 30 in²
you can buy 5 cans of black beans for $2.40. What is the unit price?
help me please I beg of you math lords
Answer:
48 cents
Step-by-step explanation:
divsion sorry im not a math lord
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
If l m, identify the angle pair as congruent or supplementary. Justify your reasoning by classifying the angle pair
Answer:
Not them Still deleting answers
Step-by-step explanation:
DESPERATE WILL GIVE BRAINLIST AND THANKS
Which associations best describe the scatter plot?
Select each correct answer.
Nonlinear association
Positive association
Linear association
Negative association
Answer:
D) I think
Step-by-step explanation:
Answer: From the graph all the points are moving in tandem and shows a directly proportional relation between them . Hence, positive linear association best describe the scatter plot.
Step-by-step explanation:
[tex]21\geq 12+x[/tex]
Which equation can be used to solve for b?
Answer:
tan(30)=5/b
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Solve for x. 2x−5=−x+7
Answer:
x = 4
Step-by-step explanation
2x−5+x=−x+7+x
3x−5=7
3x−5+5=7+5
3x=12
x=4
Answer:
x = 4
Step-by-step explanation:
You need to isolate the variable on one side first so that the equation is easier to solve. To do that, add x to both sides to get 2x + x, which is 3x. This gets rid of the -x on the other side and results with the new equation
3x - 5 = 7. Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.
You can check your work by plugging in 4 for x.
2(4) - 5 = -(4) + 7
8 - 5 = 3
3 = 3
Therefore, x is equal to 4.
Hope this helped! Have a good day!
What is the vertex of the parabola y=(x+3)+9?
(3,9)
O (-3,-9)
O (3,9)
What is the area of this parallelogram?
4.9 cm²
12.25 cm²
17.15 cm²
24.01 cm²
PLS HELP!! I WILL GIVE BRAINLYIST
Answer:
The answer is 17.15! Brainliest pls :D
Answer:
C, 17.15
Step-by-step explanation:
4.9*3.5 = 17.15
please help me, i'll give you brainlyist
20 points (maths)
Answer:
Your answer would be 3/5 or 3:5
Step-by-step explanation:
Hana writes the equation y=5.5x+11 if she buys 8 books what is the amount spent if she buys 8 books.
help please and thank you
!!
Answer:
f(x) = 2ˣ + 1
Step-by-step explanation:
Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.
The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.
For (3, 9):
f(x) = 3ˣ = 3³ = 27
f(x) = 2ˣ + 1 = 2³ + 1 = 8 + 1 = 9
The last equation is the equation that is represented by the table.
David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn?
Answer:
$51.75
Step-by-step explanation:
Answer:
$22
Step-by-step explanation:
4 * 5.50 = 22
How tall is a building 100 feet away if the angle of elevation from the ground to the
top of the building is 20 degrees?
Answer:
i think it is 50ft but i'm not too sure
Step-by-step explanation:
if you take the 100ft and than use the 20 degrees and divide them you get 50 ? so maybe, just 100 divided by 20
What are the coordinates of V' when (T<-3, 1> ° D.)(TUV) of T(-7,-6), U(-8, 3), V(2, 1)?
Answer:(332)
Step-by-step explanation:
Find the value of x. (Round to the nearest tenth as needed.)
Answer:
Hope that answers your question
one hundred and sixty-two thousandths as a decimal
Answer:
0.0162
Step-by-step explanation:
Cause it is
Answer:
0.162
Step-by-step explanation:
one hundred and sixty-two thousandths
162/1000 = 0.162
Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2/8 inches, 7 7/8 inches, 4 1/8 inches, and 3 3/8 inches. Which choice is the closest estimate of the length of the original rope
Answer:
the actual answer is 20.625 and since there aren't any choices I'll give u my estimated answer: 20
Step-by-step explanation:
I got my estimated answer by rounding each length of rope down or up according to if it was less than 4/8 or higher. example: rounded 7 7/8 to 8
hope this helps <3
-2/7 ÷ (-8/21) step by step answer
please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke
Answer:
1.3
Step-by-step explanation:
first, divide the parentheses:-8/21= -0.380952
second, dived -2/7= -0.285714
now divide both of them -0.380952 ÷ -0.285714 = 1.3
What is the reflected across y-axis and reflected across x-axis for (-2, 6)
HELPP! BRAINLIEST AND 10 POINTS !!
what is the height of this triangle?
A. 2 units
B. 3 square units
C. 3 units
D. cant be determined
Answer:
I think it's 3 units so you got that right
Answer:
its the first one
Step-by-step explanation:
mhanifa or someone else can you PLZ answer this
Answer:
[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Step-by-step explanation:
[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Answer:
Simplified:
[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex] =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex] =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex] =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]This can be further simplified if required
[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)
9514 1404 393
Answer:
y = -0.03x² +12
Step-by-step explanation:
For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...
y = 1 - x²
It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.
We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:
y = 1 -(x/20)²
We want the height to be 12, so we can scale it vertically by a factor of 12:
y = 12(1 -(x/20)²
y = 12 -12(x²/400)
y = -0.03x² +12
Look below giving brainliest
Answer:
15
Step-by-step explanation:
I think it's 15....yeah
HELP THIS BS IS DUE IN 20 MINS!!!!!!!
Answer: 5.5
Step-by-step explanation:
If each sandwich is $5.5 then the slope must be y=5.5x
Find X. This is a 40°, 40°, 90° triangle.
Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation: