The height of the ramp is 49.45in
Data;
Length of the skateboard = 132inAngle between the height and skateboard = 22 degreesheight of the skateboard rampTrigonometric RatioTo solve this problem, we can use trigonometric ratio SOHCAHTOA
Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.
From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.
[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in[/tex]
The height of the ramp is 49.45in
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help me with angle sum theorem please what is y
Answer:
y = 140
Step-by-step explanation:
All angles inside the triangle will equal 180
Set your formula up as
180 = x + 120 + 20
180 - 120 - 20 = x
40 = x
y+x will also equal 180, therefore
180 = y + x
180 = y + 40
180 - 40 = y
140 = y
PLEASE! HELPPPPPPP!!!!!!!!
Answer:
15
Step-by-step explanation:
24/8=3
16/8=2
24/16=3/2
3/2*10=15
I hate IXL
Solve for y
1160
S
15y - 4
w
Answer:
17400y2S-4w
Step-by-step explanation:
please help with these 2 questions!! (9 and 10) please show with solution needed!!
MAFS.5.NBT.1.4
5. Usain Bolt holds the record for the fastest time in
the 100 meter dash. He first broke the record in
2008 when ran the 100 meter dash in 9.683 seconds.
In 2009, he ran the 100 meters in 9.572 seconds.
Tell whether each sentence is True of False.
5a. Rounded to the nearest tenth, O True False
both times are the same.
5b. Rounded to the nearest whole O True False
number, both times are the same.
5c. Usain's time in 2009 was O True False
faster than his time in 2008.
Step-by-step explanation:
5a- rounding to nearest 10th 9.683 = 9.7
rounding to nearest 10th 9.572 = 9.6 both times are not same so false
5b rounding to near est whole no
9.683 and 9.572 become 10. both are same. true.
5c he is faster in 2009 true
Daniel is playing on the swings at the playground. At the top of his swing, he will have _____.
neither potential nor kinetic energy
some potential energy and some kinetic energy
no potential energy and all kinetic energy
all potential energy and no kinetic energy
big points
Answer: all potential energy and no kinetic energy
Step-by-step explanation:
please help me find the total surface area
Answer:
Area of the figure = 64 cm²
Step-by-step explanation:
To find the total surface area (TSA) of the figure, we must add the areas of the 4 triangles along with the area of the square.
Given,
Altitude of triangle (h) = 6 cmBase of triangle (b) = 4 cmSide of the square (h) = 4 cmBy using these values,
Area of the triangle = ½ bhArea of the triangle = ½ × 6 × 4Area of the triangle = ½ × 24Area of the triangle = 12 cm²Now,
Area of the square = s²Area of the square = 4²Area of the square = 16 cm²So, from this,
Area of the figure = (4 × Area of the triangle) + Area of the square Area of the figure = (4 × 12) + 16Area of the figure = (48) + 16Area of the figure = 64 cm²•°• The TSA of the figure is 64 cm².
_________________________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
Is (x-3) a factor of (x3 - 3x2 + 2x + 2)?
SHOW FULL WORK
Answer:
No
Step-by-step explanation:
If (x - 3) is a factor then x = 3 is a root and the polynomial will equal zero for x = 3 , that is
3³ - 3(3)² + 2(3) + 2
= 27 - 3(9) + 6 + 2
= 27 - 27 + 8
= 8
since the polynomial ≠ 0 for x = 3 then (x - 3) is not a factor
Please help me find the answer
Answer:
[tex]x = 28 {}^{o} [/tex]
Step-by-step explanation:
hopefully this helps you
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Answer: 28 degrees D
Step-by-step explanation: The whole angle is 90 and the other angle (not x) is 62 so 90 minus 62 is 28
If X is any real number other than 0, then X^0= ------------; 0^0 is not a number.
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1
I need help
Which of the following is an irrational number?
PLS HELP ME PLS
In this activity, you will express mass in standard rotation and in scientific notation. Search the Internet to find the mass in grams for each atom
or molecule listed
Express the mass of the stars and molecules in both standard notation and scientific notation. If necessary, round the numbers so the first factor
goes only to the hundredths place
• one iron atom
• One water molecule
• one silver atom
• one gold atom
• one platinum atom
• One orarium atom
Answer:
iron- 9.28 * 10-23
silver- 1.79 * 10-22
gold- 3.27 * 10-22
platinum- 3.25 * 10-22
uranium- 3.95 * 10-22
water- 2.99 * 10^-23
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)? x 2y = 4 x 2y = 8 2x y = 4 2x y = 8.
The equation of the line that is parallel to the given line and passes through the point (2, 3) is,
[tex]x+2y=8[/tex]
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
Given information-
The points through which the line passes is (2, 3).
The points of the line shown in the image attached below is (-4, 0) and (4, -4).
The slope of the line shown in the image which passes through the point (-4, 0) and (4, -4) is,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-4-0}{4-(-4)}\\m=\dfrac{-4}{8}\\m=\dfrac{-1}{2}[/tex]
As the line which passes through the point (2, 3) is parallel to the line shown below. Hence, the slope of it must be equal to that line.
Therefore the equation of the line which passes through the point (2, 3) and has a slope of -1/2, is,
[tex](y-y_1)=m(x-x_1)\\(y-3)=-\dfrac{1}{2}(x-2)\\2(y-3)=-x+2\\2y-6=-x+2\\x+2y=8[/tex]
Thus the equation of the line that is parallel to the given line and passes through the point (2, 3) is,
[tex]x+2y=8[/tex]
Hence, the option 2 is the correct option.
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Answer:
y = –4
Step-by-step explanation:
In Newport, the library is 66 miles due south of the courthouse and 88 miles due west of the community swimming pool.
What is the distance between the courthouse and the community swimming pool?
Answer:
110
Step-by-step explanation:
Use the pythagorean theorem (a^2 + b^2 = c^2) to solve it. 66 is a and 88 is b. The distance between them is c.
A cell phone company conducted a survey to determine if customers were satisfied with their cell phone service. The survey sample consisted of all customers who had contacted the company within the past year and who agreed to participate. Of the 420 customers surveyed, 65% reported that they were not satisfied with their service.
Which statement about this sample is true?
A Exactly 65% of all customers are not satisfied with the cell phone service.
B The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,
C The sample might not be representative of the population because, in general, satisfied customers have no reason to contact the company.
D No generalizations can be made from this sample because the sample size is too small.
The statement that is true about the given sample is that;
B. The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,
Sample Statistics Interpretation
We are given;
Sample size; n = 420
Sample proportion; p^ = 65%
Now, from the sample size and proportion, we can say that;
Exactly 65% of the surveyed customers were not satisfied with the cell phone service. Now, this only represents those surveyed and not the entire population. Thus it is not exactly 65% of all customers that are not satisfied with the cell phone service.
Option B is correct because the 420 customers surveyed is a sample from the population of all their customers within the last year.
Read more about sample statistics at; https://brainly.com/question/7301139
Answer:the answer is b
Step-by-step explanation:
If you read the problem you would know
49.98 ÷ 17 = ? (show ur work)
Answer:
2.94
Step-by-step explanation:
In the picture below
Find the mZMNI.
M
15x – 12
L
6x
12x+2
N I
Step-by-step explanation:
sum of two interior angles is equal one exterior angle....this implies that,
6x + 15x-12 = 19x+2.....make X the subject
6x+15x-19x = 2+12
2x = 14..... divide both sides by 2
x = 7
this implies that, 19x + 2 where x is 7,
= 19(7) +2
=135°
therefore,<MNI = 135°
The angle MNI is 135 degree.
What is angle?An angle is the figure formed when two rays cross at a common endpoint, according to the definition of angles.
The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is remote Interior Angle.
Sum of two interior angles is equal one exterior angle.
Here:
(6 x) + (15 x-12) = (19 x+2)
6 x + 15 x - 19 x = 2 + 12
6 x - 4 x = 14
2 x = 14, x =7
Putting the value of x in (19 x + 2).
19 * 7 + 2 = 133 + 2 = 135.
Therefore, the value of 19 x + 2 is 135 degree.
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Consider the set of rational numbers to solve the problem.
What is the inverse of 43 under the operation of addition?
Answer:
-43
Step-by-step explanation:
The additive inverse of 43 is its opposite, -43.
The sum of a number and its additive inverse is the additive identity element:
43 + (-43) = 0
What expression shows 4 less than a number
Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?
Answer:
[tex]\frac{x^2}{12}-\frac{y^2}{4}=1[/tex]
Step-by-step explanation:
Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:
Formula for hyperbola with horizontal transverse axis centered at origin
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]Directrices -> [tex]x=\pm\frac{a^2}{c}[/tex]Foci -> [tex](\pm c,0)[/tex] where [tex]a^2+b^2=c^2[/tex][tex]a>b[/tex]Since we are given our directrices of [tex]x=\pm3[/tex] and foci of [tex](\pm4,0)[/tex], then we can set up the directrices equation to solve for [tex]a^2[/tex]:
[tex]x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2[/tex]
Now we can determine [tex]b^2[/tex] to complete our equation for the hyperbola:
[tex]a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4[/tex]
Therefore, our equation for our hyperbola is [tex]\frac{x^2}{12}-\frac{y^2}{4}=1[/tex]
Help please im struggling.
Answer:
D. 2,2
Step-by-step explanation:
The midpoint just means the point in the middle of the line, and if you count inwards from each of the points, you'll find that D is the midpoint.
Answer:
A
Step-by-step explanation:
from the top one (Point A), to the bottom one (Point B) you go down 12 and to the right 8.
3. Mr. James told Jill he would charge her $15 per hour, plus parts, to fix her bicycle.
The parts ended up costing $32, and
it took Mr. James 3 hours to fix the bike. Write
and evaluate an expression to determine how much Jill owes Mr. James.
Answer:
512
Solution:
so first you multiply 15 times 32 and get 480 than you add 32 and get 512.
How do I solve this using Substitution??
Answer:
-1
Step-by-step explanation:
so -x-6 and x-4 are both = to y so that means they are both = to each
other so -x-6=x-4 add x to both sides -6=2x-4 add 4 to both sides 2x = -2 simplify by divide by 2 so x=-1
Answer:
Take the second equation and add 4 to both sides, this gives you x=y+4. The plug in y+4 on the first equation, so y=-(y+4)-6, distribute the negative to everything inside the parentheses, and you get y=-y-4-6. Combine like terms and you get y=-y-10, then add y to both sides, you get 2y=-10, divide both sides by 2 and you get y=-5.
Then plug -5 into the second equation and you get -5=x-4, add 4 to both sides and you get -1=x.
If you want to check your answer, just plug in x and y to either of the equations and see if it makes a true statement.
Which is the most accurate way to estimate 48% of 127?
Answer:
60.96
Step-by-step explanation:
127 times 0.48
When is simplified, what is the resulting expression?
Answer:
A. -0.8x + 4.8y + 16
Step-by-step explanation:
Solved using distributive property
Let's find out
[tex]\\ \tt\Rrightarrow 4(0.5x+2.5y-0.7x-1.3y+4)[/tex]
a(b+c)=ab+ac[tex]\\ \tt\Rrightarrow 4(-0.2x+1.2y+4)[/tex]
[tex]\\ \tt\Rrightarrow -0.8x+4.8y+16[/tex]
Option A
33. Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?
O
A 2 yards
B. 3.2 yards
C. 4 yards
D. 10 yards
They are approximately 4 yards. Look at a coordinate grid and locate where (-5, -2) and (-8, -3) are and you will see they are 4 yards apart. The answer would be C.
8 A sponge is found to be growing bacteria. The number of the bacteria cells on the sponge triples every week. There are currently 26 cells. Write an expression that shows the number of cells in six weeks. How many bacteria cells are on the sponge after six weeks?
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Answer: The answer is BC=6 and EF=3
Step-by-step explanation: because BC =6 and EF=3 which will be 6/3 =2/1. so divide 6 by 3 to get 2 then anything divided by one gives itself 2=2. Then compare 2 and 2.
What is the coefficient of 4
Answer:
4 is the coefficient of x
Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1,000(1 0. 3)h finds the number of amoebas after h hours. Which statement about this expression is true?.
Answer:It is the product of the initial population and the growth factor after h hours.
Step-by-step explanation:
this for ttm/im