A beam rests against a wall, forming a 55-degree angle with the floor. Use the function y=9sec 0 to find the length of the beam to the nearest tenth of a foot.
A - 48 degrees
B - -48 degrees
C - 50 degrees
D - -50 degrees
Answer:
C. 15.7 feet
Step-by-step explanation:
9/cos(55 deg)=
15.691.
round it up, and the length of the beam is 15.7 feet.
The length of the beam is 15.7 foot.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
A beam rests against a wall, forming a angle with the floor = 55 degree
The function is y = 9 secθ
The length of the beam is
⇒ [tex]y = 9 sec\theta[/tex]
⇒ [tex]y = 9 sec55[/tex]
we know that secθ = 1/cosθ
⇒ [tex]y = 9 (\frac{1}{cos55})[/tex]
⇒ [tex]y=15.69[/tex]
⇒ [tex]y=15.7[/tex]
Hence we can conclude that the length of the beam is 15.7 foot.
Learn more about trigonometry here
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PLEASE I NEED HELP! Find the probability. Image attached (math)
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.
Answer:
I need this tooo, did u find it??
Step-by-step explanation:
What 2 sides need to be congruent in order to prove the 2 triangles are congruent by HL?
PLEASE HELP ASAP!
Answer:
The two hypotenuses.
Step-by-step explanation:
HL or Hypotenuse-Leg Theorem: two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
Since we already know the bottom leg of each triangle is congruent, we only need to know the two hypotenuses.
Answer:
AB=ED
Step-by-step explanation:
The measurement of angle A is _____ degrees
Answer:
157
Step-by-step explanation:
I actually forgot the rules as to why it is, but you can clearly see that they are identical to each other!
The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.
Answer:
The bounded area is 5 + 5/6 square units. (or 35/6 square units)
Step-by-step explanation:
Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)
Such that f(x) > g(x) in the given interval.
This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).
We want to find the area bounded by:
f(x) = y = x^2 + 1
g(x) = y = x
x = -1
x = 2
To find this area, we need to f(x) - g(x) between x = -1 and x = 2
This is:
[tex]\int\limits^2_{-1} {(f(x) - g(x))} \, dx[/tex]
[tex]\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx[/tex]
We know that:
[tex]\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}[/tex]
[tex]\int\limits^{}_{} {1} \, dx = x[/tex]
[tex]\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}[/tex]
Then our integral is:
[tex]\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )[/tex]
The right side is equal to:
[tex](4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6[/tex]
The bounded area is 5 + 5/6 square units.
NEED HELP PLZ ON ASSIGNMENT
Answer:
1 and -3
Step-by-step explanation:
To solve for the roots (x-1)(x+3) set x-1 to = 0 and solve for x. Same thing for x+3.
Answer:
1, and -3
Step-by-step explanation:
So when looking for roots, we take our quadratic equation that is in factored form, and set each partheasese to 0:
x-1=0 and x+3=0
Now just subtract and add the -1 and +3 to both sides:
x=1 and x=-3
These are your 2 answers for the quadratic.
Hope this helps!
I need help I’m stuck
Answer:
Step-by-step explanation:
square root of 2 times 2
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex] \sqrt{2 \times 2 } \\ = \sqrt{4} \\ = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
[tex] \huge \frak \red{question}[/tex]
square root of 2 times 2
[tex] \huge \frak \green{answer}[/tex]
→[tex] \sqrt{2 \times 2} [/tex]
→[tex] \sqrt{4} [/tex]
→ 2
The square root of 2 times 2 is "2"
Find the value of x in the triangle shown below
X=_____
Jajakskssjjsskzkzjjzzjsjsjsjzjzjzj please answer
Answer:
well it stopped on the 8 intercept means stop or cut off so
Step-by-step explanation:
i's say 8
Which has a larger area? A triangle with a base of 15ft and a height of 25
feet, or a square with sides of 14ft *
Triangle
Square
They both have the same area.
Answer:
Square
Step-by-step explanation:
Area of triangle = 1/2 * b * h
= 1/2 * 15 * 25
= 187.5 ft²
Area of square = side * side
= 14 * 14
= 196 ft²
Comparing both areas, it is clear that square have a larger area.
Find the hypotenuse of a right triangle if the legs are 22 and 26. Round to nearest hundredth
Answer:
Step-by-step explanation:
length of Legs of the right angle triangle = 22 (unit) and 26 (unit)
To find the length of hypotenuse of the right angle triangle, we have to use Pythagoras property
Lets keep hypotenuse as "h" and one leg as "a" and another as "b"
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]h^{2}[/tex]
[tex]22^{2}[/tex] + [tex]26^{2}[/tex] = [tex]h^{2}[/tex]
484 + 676 = [tex]h^{2}[/tex]
[tex]h^{2}[/tex] = 1,160
h = [tex]\sqrt{1,160}[/tex]
h = 34.05 (unit)
Find the mean of the data in the dot plot below.
fish
Fish Emma caught each day
of her fishing trip
Number of fish
Answer:
I think you forgot to include the dot plot
Step-by-step explanation:
I will attempt to help but I need the dot plot
Answer:
fish
Step-by-step explanation:
fish
A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?
A 3
B 6
C 10
D 12
Answer:
D
Step-by-step explanation:
15^2 = 9^2 + x^2
x^2 = 15^2 -9^2
x^2 = 225-81
x^2 = 144
x = 12
what situation would yield a biased sample? Explain.
Can i have the situations?
Someone interviewing the art club at a school to see how many students are going to the art festival.
The art club students are already interested in art, and there is a great chance they will all go, or will all be interested. In order to have an unbiased sample, they could ask every third student that walks through the front doors.
Hope this helped!
Determine the number of acute, obtuse, and right angles in the shape
Answer:
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
hope it helps
please mark Brainliest
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
A coin will be flipped three times. The result of each flip is either heads (H) or tails (T). The outcome HTH represents the first result is heads, the
second result is tails, and the third result is heads. The list of all possible outcomes is shown. Each outcome is equally likely.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
If the result of the first flip is tails, what is the probability that the coin lands on heads two times?
Answer: A. 1/4
Step-by-step explanation:
1/2 x 1/2= 1/4
since tails is the first one that landed, the probability for the other two to be heads is 1/4
Hope this helps!
Leaving a rating is appreciated!
AC=36cm, and BC=27cm. Verify that DE\\AB.
Answer:
[tex]\overline {DE} \parallel \overline{AB}[/tex] because [tex]\frac{EC}{DC} = \frac{AC}{BC}[/tex].
Step-by-step explanation:
According to the Theorem of Thales and definition of proportionality, [tex]\overline {DE} \parallel \overline{AB}[/tex] if and only if [tex]\frac{EC}{DC} = \frac{AC}{BC}[/tex]. If we know that [tex]EC = 15\,cm[/tex], [tex]DC = 20\,cm[/tex], [tex]BC = 36\,cm[/tex] and [tex]AC = 27\,cm[/tex], then we have the following result:
[tex]\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}[/tex]
[tex]\frac{3}{4} = \frac{3}{4}[/tex]
Hence, [tex]\overline {DE} \parallel \overline{AB}[/tex].
Stellar cell phones charges $0.10 per extra gigabyte of data and a monthly fee of $15. Cell Phones ‘R Us does not charge a monthly fee, but they charge $0.15 per extra gigabyte of data. Which inequality represents the situation when Cell Phones ‘R Us is cheaper than Stellar Cell Phones?
Matthew is sixty six years old and three times older than his daughter ann. ann is two years older than her sister tina.how old is her sister tina
Answer:
Tina is 18
Step-by-step explanation:
60 divided by 3 is 20 and 20-2 is 18
Pls help if u know math
Answer:
= 22 units
Step-by-step explanation:
Well, QS and RT are equal, so...
5x-3=3x+7
-3x -3x
2x-3=7
+3 +3
2x=10
÷2 ÷2
x=5
...and to find a side length...
3x+7=15+7=22
= 22 units
HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?
We need to simpify the given expression. The given expression to us is ,
Given Expression :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]
Using Identity :-
[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]
So that :-
[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]
We have :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]
Hence the required answer is -1/4.
find the value of x pls help
Answer:
Step-by-step explanation:
I think it is 72
what algebraic propertiy am i using for 5(d + 1)
Answer:
distributive
Step-by-step explanation:
you are distributing 5(d+1) into 5d +5
When given the ordered pair (2,5), which number represents your x-value? Which number represents your y-value?
Answer:
X=2 and y=5
Step-by-step explanation:
2 represent x-value and 5 represent y- value
Christina used 7.36 cups of flour to bake 0.8 cakes. How much flour, on average, did she put in each cake?
Answer:
5.8 cups of flours
Step-by-step explanation:
If a = (x-3) and b = (x+3), show that 2ab = 2x square - 18
Step-by-step explanation:
ab = (x - 3)(x + 3)
multiply
ab = x² + 3x - 3x - 9
Simplify
ab = x² - 9
---------------------------
2ab = 2(x² - 9)
Distribute
2ab = 2x² - 18
Please help, find the answer please
Answer:
4x = y
Step-by-step explanation:
A. The graph doesn't make sense to me. 2 would be 8 not 6 according to the problem.
The Graph would be:
1:4
2:8
3:12
4:16
5:20
6:24
B. I would make this equation: 4x = y
X is representing how many steps Audrey takes.
So then substitute:
4 · 50 = 200
Meg would travel 200 feet.