Answer:
[tex]\Huge\boxed{11.9}[/tex]
Step-by-step explanation:
Hello There!
Basic Concepts
Geometry
Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)
Here are the trigonometric ratios
Sine - Opposite over Hypotenuse
Cosine - Adjacent over Hypotenuse
Tangent - Opposite over Adjacent
For the angle that has a measure of 50 degrees
we are given its adjacent side length and we need to find its opposite
When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent
Knowing which trigonometric ratio we are going to use we have to create an equation
Remember tan = opposite over adjacent
So we plug in the given information and solve for the missing information ( In this case the opposite side length)
[tex]tan(50)=\frac{x}{10}[/tex]
Basic Algebra
Now we solve for x
Like always we want to isolate the variable
First we want to get rid of the 10
x is being divided by 10 and the inverse of division is multiplication
So we multiply each side by 10
[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]
now we have
[tex]10tan50=x\\[/tex]
finally we plug in 10tan50 into a calculator to get the value of x
we get that x = 11.91753594
Our last step is to round to the nearest tenth
We can conclude that the answer is 11.9
The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.
What is tangent of an angle?Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.
Let, the bridge is x ft. long.
Therefore, tan 50° = [tex]\frac{x}{10}[/tex].
⇒ x = 10 × tan 50°
⇒ x = 10 × 1.192
⇒ x = 11.92
Therefore, the bridge is 11.92 ft. long.
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Help me out please?
Answer:
perpendicualr
Step-by-step explanation:
Look at picture, Throw a ball in the air and create a function models to show the trajectory the variable x represents time in seconds after the ball was thrown
Answer:
Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.
Step-by-step explanation:
I took the test.
Plz help me out !!!!!!
Answer:
There are 1,679,616 ways to answer the test
Step-by-step explanation:
Here, we want to get the number of ways to answer the test
From the question, we have that there are 8 questions, with each having 6 possible answers
Hence, the total number of answers to pick from is 8 * 6 = 48
We are to pick 6 out of this total 48, with 1 option per question
So in the first, we are picking 1 out of 6
The number of ways here is;
6 C 1 = 6 ways
The next, we have 6 ways also , up to the 8th question
So, the total number of ways will be;
6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =
1,679,616
Find the surface area of a basketball with a diameter of 10 in.
25π in²
10π in²
100π in²
400π in²
Answer:
100π in²
Step-by-step explanation:
i just took the test :)
The surface area of the ball is 100π square inches. The correct option is C.
How to calculate the surface area of a sphere?The formula for the surface area of a sphere is:
Surface Area = 4πr²
Where r is the radius of the sphere.
Since the basketball has a diameter of 10 in, the radius is half of that, which is 5 in.
Substituting the radius into the formula, we get:
Surface Area = 4π(5²)
Surface Area = 4π(25)
Surface Area = 100π
Therefore, the surface area of the basketball is 100π in².
So the surface area is 100π in².
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4. Find the measure of arc WXY.
Answer:
200
Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go. :)
What's the answer to this?
Answer:
The answer to this equation is 3 3/16
Step-by-step explanation:
HELPPPPP ME PLEASEEEE I am on a MATH TEST
Answer:
Step-by-step explanation
Sucks to be you
Determine the value of each unknown angles.
HELP PLEASE DO ANY! I’ll give you brilliance
For D:
A triangle always has 180 degrees total. No more, no less. Seeing as though all the sides and angles are the same length, we can just divide 180 by 3, giving us 60. x = 60 degrees.
For E:
We can see there is a 90 degree symbol that surmises both angles. We know the lower angle is 30 degrees, so m must equal 60 degrees.
For G:
Same concept as D, except we gotta do a bit of math. A triangle always has 180 degrees, So we add 50 and 55 together and get 105. Subtract 105 from 180 and we get 75. Therefore, your angle is 75 degrees.
For H:
The 75 degree angle and m are parallel, with the same line passing through it, meaning that m is identical to the other angle. m = 75.
Answer:
d) x = 60
e) m = 60
g) q = 75
h) m = 75
Step-by-step explanation:
d) This image is that of an equilateral triangle, or a triangle whose sides are all equal (also known as a regular triangle). One property of an equilateral triangle is that all of its angles are also equal. Because the angles of a triangle add up to 180° (Triangle Sum Theorem), each angle would be 180/3°, or 60°, so x = 60.
e) This problem shows two complementary angles. Complementary angles are two angles that add up to 90°. Because one of the angles is given, you can find the other by subtracting the given one from 90°:
m = 90 - 30
m = 60
g) This is an image of a triangle with two given angles and the missing one is the third angle, q. You can solve for q using the Triangle Sum Theorem, which states that the three interior angles of a triangle add to 180°:
50 + 55 + q = 180
105 + q = 180
q = 75
h) This image shows two parallel lines cut by a transversal. You can find m using the Corresponding Angles Theorem, which states that if parallel lines are cut by a transversal, the corresponding angles will be congruent. Because the lines are parallel, you know that m = 75 since the 75° angle is its corresponding angle.
What is the best first step to solve the following quadratic equation?
16x2 + 38 = -40x
A
Add 40x to both sides.
B
Factor the right side.
C
Take the square root of both sides.
D
Multiply 16 by 38 and list the factors.
Answer:
a
Step-by-step explanation:
A which is add 40x to both sides wich is A
50 point! Someone please help! I will mark brainliest!
Answer:
4. AC = 36
5. m<UTW = 42
Step-by-step explanation:
4.
AB = BC
-x + 25 = 3(2x - 8)
-x + 25 = 6x - 24
-7x = -49
x = 7
AC = 2(-x + 25) = 2(-7 + 25) = 2(18) = 36
AC = 36
5.
2x + 3 = 5x - 24
-3x = -27
x = 9
m<UTW = 2m<UTV = 2(2x + 3) = 2[2(9) + 3] = 2(21) = 42
m<UTW = 42
A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е
Answer:
if I'm not mistaken I think your answer will be B
The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].
There are five expressions in the left.
A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]
Here we have to multiply the terms in the numerator as well as in the denominator.
2(2)(3)(3) = 36 and 3(3)(5)(5) = 225
So this expression is equivalent to the given [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].
B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]
We know that, greatest common factor of 36 and 225 is 9.
36/9 = 4 and 225 / 9 = 25
Also a⁸ / a² = a⁸⁻² = a⁶
So this is also an equivalent expression.
C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]
This is not equivalent since √225 = 15, not 25.
D. [tex]\frac{6}{15} a^4[/tex]
This is also not equivalent since [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.
E. [tex]\frac{2}{5} a^3[/tex]
This is equivalent expression since √36 = 6 and √225 = 15.
[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]
Hence the equivalent expressions are A, B and E.
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Your question is confusing. The image of the question is attached below.
i need help pls..........
Answer:
a 14.3
Step-by-step explanation:
23 divided by 4 is 14.3
hshsvsjsn svshsismsnsbs
Answer:
C. 5.44
Step-by-step explanation:
(0.24) divided by 6/10
Answer:
0.4
〜
Darling, all you need to do is, factor the numerator and denominator and cancel the common factors, and you'll get the answer 0.4.
find 5 rational numbers between 1 and 2
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Step-by-step explanation:
Hope this helps!
1/2x - 7 = 1/3 (x- 12)
Answer:
x = 18
Step-by-step explanation:
1/2x - 7 = 1/3 (x- 12)
Multiply both sides by 3
3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)
3/2x - 21 = x - 12
Collect like terms
3/2x - x = 21 - 12
1/2x = 9
Multiply both sides by 2
x = 2 * 9
x = 18
Answer:
x = 18
hope this helps! :)
YALL HELP!!! YALL HELP!!! YALL HELP!!! YALL HELP!!! YALL HELP!!!
Answer:
Reflection
Step-by-step explanation:
(x, y) --> (x, -y) is a reflection over the x-axis
Help this is the question pls help I need your help answer correctly
23 pts
Answer:
[tex]3/8* 16 \\3*2\\6[/tex]
Step-by-step explanation:
Thus the mileage of water for this vehicle is 6 miles per gallon.
A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?
Answer:
1 1/3 hours
Step-by-step explanation:
Pipe 1 alone:
fills the pool in 2 hours
in 1 hour, it fills 1/2 of the pool
Pipe 2 alone:
fills the pool in 4 hours
in 1 hour, it fills 1/4 of the pool
Pipe 1 and Pipe 2 working together:
fill the pool in x hours
in 1 hour, they fill 1/x of the pool
Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.
Working together, in 1 hour the two pipes fill 1/x of the pool.
Therefore,
1/2 + 1/4 = 1/x
2/4 + 1/4 = 1/x
3/4 = 1/x
x = 4/3
x = 1 1/3
Answer: 1 1/3 hours
Find the triangles area drawing not to scale.
Answer:
35 lol
Step-by-step explanation:
a = b*h/2
a = 10*7/2
a = 70/2
a = 35 lol
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-1, 3, -9, 27, ____, ____, ____,...
a.
Multiply by 3; 81, 243, 729
b.
Multiply by -3; -81, 243, -729
c.
Multiply by -3; 81, 243, 729
d.
Multiply by 3; -81, -243, -729
Please select the best answer from the choices provided
A
B
C
D
Answer:
b
Step-by-step explanation:
edge 2021
PLEASE help me. This is due today
Answer:
negative linear
Step-by-step explanation:
Answer:
A. A negative linear association
Step-by-step explanation:
The points are close enough for a line of best fit, therefore they are linearly associated and they are going down so it is negative association.
what is polynomail area
Answer:
2x²-8 if it doesnt give you x= if it gives you an x= then comment it and ill work it out.
Step-by-step explanation:
it was pretty simple
Write the name of each decimal place indicated( pls help I’m failing and don’t troll I’ll give Brianliest)
Answer:
3. A. ten thousandths
4. C. tenths
5. D. hundredths
6. C. ten thousandths
hope you have a blessed day
Step-by-step explanation:
Answer:Question 3 answer is A.
Question 4 answer is C
Question 5 answer is D
Question 6 answer is C
YOUR WELCOME
can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)
Answer:
L's coordinates would go from being (x,y) to (-x, -y)
Step-by-step explanation:
So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)
If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L
Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)
What is the CORRECT answer?
Answer:
Step-by-step explanation:
Givens
r = 5
h = 30
Formula
SA = 2*pi*r^2 + 2pi*r*h
Solution
SA = 2*3.14 *5^2 + 2*3.14 * 5* 30
SA = 50*3.14 + 300*3.14
SA = 157 + 942
SA = 1099 square inches.
what is the exact value of cos5pie/12
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
Urgent: Find value of X
Answer:
x=44 degrees
Step-by-step explanation:
A line = 180 degrees
Given degrees: 136
180-136= 44
Tentukan nilai limit x->3 x2-9/x-3
Answer:
6
Step-by-step explanation:
Factor the numerator, difference of squares
[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )
= x + 3
limit as x → 3 = 3 + 3 = 6
Select all expressions that are equivalent to 2x+3x+8-3x-2.
Select all that apply
2x + 6
2x + 10
O O O O
5x - 3x + 6
5x - 3x + 10
Answer:
2x + 6
Step-by-step explanation:
Solve for x: 2x+3x-3x = 2x
Solve numbers without the variable: 8-2 = 6
combined together: 2x + 6