To build a handicapped-access ramp, the building code
states that for every 1 inch of vertical rise in height, the
ramp must extend out 12 inches horizontally, as shown in
the diagram below.
*Show solving work on the sketch pad!*
(a) Set up your trig equation (before solving below):
(2 points)
hyp
1 opp
12
adj
Submit
(b) What is the angle of inclination, x, of this ramp, to the
nearest hundredth of a degree? (2 points)
85.22
4.76
85.24
4.78
Answer:4.76
Step-by-step explanation:
tan 0= opposite side/adjacent side
tan x = 1/12
x =tan-1 (1/12)
~~ 4.76 degrees
The angle of inclination x of this ramp is 4.76 degrees.
What is a right-angle triangle?'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'
According to the given problem,
Perpendicular = 1 inch
Base = 12 inches
Angle of inclination = x
We know,
tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]
⇒ tan(x) = [tex]\frac{1}{12}[/tex]
⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]
⇒ x = 4.76 degrees.
Hence, we can conclude, the angle of inclination is 4.76 degrees.
Learn more about right-angle triangle here: https://brainly.com/question/3772264
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Mr. Wiliams brought a ice chest filled with water bottles to band practice. A model of the ice chest is shown below. What is the volume, cubic inches, of the ice chest?
Answer:
10,260 in³
Step-by-step explanation:
Please find attached an image of the chest
The ice chest is shaped like a rectangle. Thus the formula for the volume of a cuboid can be used to determine the volume of the chest
volume of a cuboid = length x width x height
18 in x 19 in x 30 in = 10,260 in³
True or False: The point (0, 3) lies on the x-axis.
Answer:
false
Step-by-step explanation:
(x,y)
if the first cord is 0 its on y
is the second cord is 0 its on x
Answer: True
Since the x-coordinate being 0, the point lies on the y-axis. The y-coordinate =+3 being positive, the point lies on the +ve y-axis.
Step-by-step explanation: Hope this help :D
PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)
y = −2x + 14
y = 2x + 2
Answer:
The second graph
Step-by-step explanation:
take x = 3 for instance, we can see that on the graph both lines intersect on y = 8
if we try it with our equations:
-2 * 3 + 14 = 8
2 * 3 + 2 = 8
Hope thi helps, please give brainliest thanks
The height of the apple trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.2 feet what percentage of the apple trees are taller than 14.9 ft
Answer:
2.275%
Step-by-step explanation:
z = (x-μ)/σ, where
x is the raw score = 14.9 ft
μ is the population mean = 12.5 ft
σ is the population standard deviation = 1.2 ft
We are to find the percentage of the apple trees are taller than 14.9 ft,
This means x > 14.9, x greater than 14.9
Hence,
z = (14.9 - 12.5)/1.2
z = 2
Probability value from Z-Table:
P(x<14.9) = 0.97725
P(x>14.9) = 1 - P(x<14.9) = 0.02275
Converting to Percentage
= 0.02275 × 100
= 2.275%
Therefore, the percentage of the apple trees that are taller than 14.9 ft is 2.275%
Find the area of a triangle that has a base of 10 inches and a height of 7 inches.
A) 8.5 in2
B) 17 in2
C) 35 in2
D) 70 in2
Also sorry for asking 2 questions in one day :'D
Benson is shopping for shampoo. His favorite brand comes in 5 different sizes which size is the best deal
Help pleaseeee NO LINKSSSS
Answer:
Step-by-step explanation:
Radius=r. Diameter=d. C=circumference. A=area
Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.
Formulas;
r=d÷2
C=2πr
A=πr²
π=[tex]\frac{22}{7}[/tex] or 3.142
4).
a.)r=d÷2
=4.8cm÷2
=2.4cm
b.)d=4.8cm
c.)C=2πr
=2×3.142×2.4cm
=15.08cm
d.) A=πr²
=3.142×(2.4)²
=3.142×5.76
=18.09cm² or 18.1cm²
5.
a.)r=d÷2
=7÷2
=3.5cm
b.)d=7cm
c.)C=2πr
=2×3.142×3.5
=21.99cm or 21.1cm
d.)A=πr²
=3.142×(3.5)²
=3.142×12.25
=38.49cm²
6.)
a.)r=d÷2
=14÷2
=7cm
b.)d=14cm
c.)C=2πr
=2×3.142×7
=43.99cm
d.)A=πr²
=3.142×(7)²
=3.142×49
=153.96cm²
Someone please help me
Someone please help with this! I’ll give brainliest.
With full working
Answer:
k = -2
Step-by-step explanation:
The value of k is -2
cuz the point D is marked at (1,-2)
Logan has 4 2/3 cup of peanuts and 3 2/3 cup of cashews if you combine some nuts how much will he have
Answer: He will have 8 1/3 nuts
Step-by-step explanation:
Amount of peanuts=4 2/3 cups
Amount of cashews=3 2/3 cups
Combing the nuts will give Total amount of nuts ( peanuts and cashews)
=4 2/3 +3 2/3
=7 4/3
7 + 1 1/3
8 1/3 nuts
If θ is an angle in standard position and its terminal side passes through the point (-3,4), find the exact value of tanθ in simplest radical form.
Answer:
so x = 20 , y = -21 , which is in quad IV
r^2= 400+441 = 841
r = √841 = 29
then cos Ø = 20/29
sec Ø = 29/20 = 1.45
Step-by-step explanation:
please give brainliest
Can someone please help me with this it’s due tomorrow
Answer:
Table A, Table C, Table B
Step-by-step explanation:
f(x) = -4x - (-5)
f(0) = -4(0) - (-5) = 5
Table A
f(x) = -4x - (-1/5)
f(0) = -4(0) - (-1/5) = 1/5
Table C
f(x) = 4x + (2/5)
f(0) = 4(0) + (2/5) = 2/5
Table B
Answer:
Step-by-step explanation:
An isosceles triangle has an angle that measures 26°. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
26° 26° 128°
77° 77° 26°
Step-by-step explanation:
So we have two scenarios here.
One of them is if the base angles are 26°.
If that's true, the other angle is 128°
The other scenario is the opposite.
This means the base angles are 77°
Donald has xxx twenty-dollar bills and 111 ten-dollar bill. How much money does Donald have? Write your answer as an expression.
Answer:
20x + 10
Step-by-step explanation:
Given that :
Number of $20 bill = x
Number of $10 bill = 1
Total amount of money can be expressed as :
Σ(Value of bill * number of bill)
Hence,
($20 * x) + ($10 * 1)
20x + 10
The expression for the amount of money Donald has is : 20x + 10
use the pythagorean theorem to find the value of a.
Answer:
a = 5
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle
a² + 12² = 13²
a² + 144 = 169 ( subtract 144 from both sides )
a² = 25 ( take the square root of both sides )
a = [tex]\sqrt{25}[/tex] = 5
Answer:
pythagoras theorem formula
h^2=p^2+b^2
here hypotenuse is 13
you can take a as either perpendicular or base
lets take it base
h^2=p^2+b^2
(13)^2=(12)^2+(a)^2
169=144+a^2
169-144=a^2
25=a^2
[tex]\sqrt{25}[/tex]=a
5=a
Step-by-step explanation:
please help me find the answer
Answer:
use calculator
Step-by-step explanation:
Answer:
-21 i think
Step-by-step explanation:
Between -10 and -16 has to be -13, because -13 is three apart from -10, and three apart from -16. That means that the numbers decrease by 3. So, the number line would be:
-10
-13
-16
-19
-21
Hope this helps!
Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat closest to the cliff has an angle of elevation to the top of the cliff of 36 degree, as shown.
Answer:
[tex]x=23.82^o[/tex]
Step-by-step explanation:
[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]
[tex]tan~36=\frac{225}{y}[/tex]
[tex]y=\frac{225}{tan ~36}[/tex]
[tex]y=309.6859321[/tex]
[tex]tan(x)=\frac{225}{y+200}[/tex]
[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]
[tex]x=23.81898048[/tex]
[tex]x=23.82^o[/tex]
------------------------
hope it helps...
have a great day!!
23.82° is derived as the value of x according to nthe diagram shown.
What is Angle of elevation?
This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.
36 = 225/y
y = 225/tan 36
= 309.686.
tan(x) = 225 / y+200
x = tan -1 (225/309.686)
x = 23.82
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11a + 12b = does it equal 23ab or not
Answer:
no it doesn’t.
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Hope it helped :) If you need a explantion step by step then tell me.
what is the area of the shaded portion of the figure above
Answer:
i need help too
Step-by-step explanation:
plese
a circle has a radius of 7 inches what is the area of the circle rounded to the nearest whole number
Answer:
A ≈ 153.86 in²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
= π × 7²
= 3.14 × 49
≈ 153,86
≈ 154 in² ( to the nearest whole number )
On Friday, 55% of the students at Wilson Middle School bought a hot lunch and the rest packed their lunch. What fraction of students packed their lunch? Select TWO that apply. A. 11/20 B. 45/100 C. 55/100 D. 9/20
Answer: B. 45/100 & D. 9/20
Step-by-step explanation:
100-55=45
45/100 works
45/5 = 9
100/5 = 20
9/20 is a simplified 45/100
If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6
Answer:
A
Step-by-step explanation:
There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3
What is the image of (0,2) after the reflection over the line y=x?
Answer:
(0,2) reflected is (2,0)
Step-by-step explanation:
help please give me the answer and no links please
Answer:
x= 69°
Step-by-step explanation:
First find the inner angle of the 159°
so you would do 180-159=21
next you add 21 ° to the 90° from the right angle
that gives you 111°
last you do 180-111 and you get 69
Answer:
x = 69
Step-by-step explanation:
180 - 159 = 21
The sum of the three angles of any triangle is equal to 180 degrees, so:
21 + 90 + x = 180
111 + x = 180
180 - 111 = x
x = 69
Have a nice day!
Help me please I don't know it
Answer:
65
Step-by-step explanation:
Method 1(Algebra):
m - 14 = 51
Add 14 to both sides of the equation.
m - 14 + 14 = 51 + 14
Combine like terms.
m = 65
Method 2:
m - 14 = 51
Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)
m = 51 + 14
Combine like terms.
m = 65
7. The terminal side of theta, and angle in standard position, intersects the unit circle at
P(-) What is the value of csc?
Complete question is;
The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?
Answer:
csc θ = -13/12
Step-by-step explanation:
We know that in a unit circle;
(x, y) = (cos θ, sin θ)
Since the the terminal sides intersects P at the coordinates P(-10/26, -24/26), we can say that;
cos θ = -10/26
sin θ = -24/26
Now we want to find csc θ.
From trigonometric ratios, csc θ = 1/sin θ
Thus;
csc θ = 1/(-24/26)
csc θ = -26/24
csc θ = -13/12
7(2x - 8) = -2x + 8
PLZ HELP ME I WILL GIVE BRAINLYEST
Answer:
B. Few energy sources
Step-by-step explanation: