Answer:
78.3 or 78.29
Step-by-step explanation:
We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.
Opposite/Hypotenuse
We use this equation
[tex] \sin(theta) = \frac{opp}{hypo} [/tex]
Plug in the values
[tex] \sin(31) = \frac{x}{152} [/tex]
Which is about 78.29
A car ride is drawn on a coordinate plane so that the first card is located at the point by (5,10) what are the coordinates of the first car after a rotation of 270° about the origin
Answer:
There are two possible solutions:
Clockwise rotation
[tex]P'(x,y) = (-10,5)[/tex]
Counterclockwise rotation
[tex]P'(x,y) = (10, -5)[/tex]
Step-by-step explanation:
There are two possible answers: (i) Clockwise rotation, (ii) Counterclockwise rotation. Vectorially speaking, rotation of point of rotation of a point about another point of reference is defined by:
[tex]P'(x,y) = O(x,y) + r_{OP}\cdot (\cos (\theta_{OP}\pm \theta'),\sin (\theta_{OP}\pm \theta'))[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]r_{OP}[/tex] - Length of the segment OP.
[tex]\theta_{OP}[/tex] - Direction of segment OP, measured in sexagesimal degrees.
[tex]\theta '[/tex] - Angle of rotation, measured in sexagesimal degrees.
Please notice that clockiwise rotation occurs when [tex]\theta = \theta_{OP}-\theta'[/tex] and counterclockwise rotation when [tex]\theta = \theta_{OP}+\theta'[/tex]. In addition, we define length and direction of the segment below:
[tex]r_{OP} = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}[/tex] (1)
[tex]\theta_{OP} = \tan^{-1} \frac{y_{P}-y_{O}}{x_{P}-x_{O}}[/tex]
If we know that [tex]x_{O} = y_{O} = 0[/tex], [tex]x_{P} = 5[/tex], [tex]y_{P} = 10[/tex] and [tex]\theta' = 270^{\circ}[/tex], then the coordinates of the first car after rotation is:
[tex]r_{OP} = \sqrt{(5-0)^{2}+(10-0)^{2}}[/tex]
[tex]r_{OP} \approx 11.180[/tex]
Please notice that original point is located at first quadrant of the Cartesian plane centered at origin, then the direction of the segment OP is:
[tex]\theta_{OP} = \tan^{-1} \frac{10-0}{5-0}[/tex]
[tex]\theta_{OP} \approx 63.435^{\circ}[/tex]
The two solutions are finally presented:
Clockwise rotation
[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (-206.565^{\circ}),\sin (-206.565^{\circ}))[/tex]
[tex]P'(x,y) = (-10,5)[/tex]
Counterclockwise rotation
[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (333.435^{\circ}),\sin (333.435^{\circ}))[/tex]
[tex]P'(x,y) = (10, -5)[/tex]
find the value of x
Answer:
x=32
Step-by-step explanation:
52=whatever angle x+20 is.
Which of the following best describes the equation below?
y = -3x - 13
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear
Answer:
d. linear
Step-by-step explanation:
using the format y=mx+b
-8a^2+40a=
this is a factoring question
Answer:
-8a(a-5)
Step-by-step explanation:
-8a^2+40a
-8a(a-5)
There are 6 bananas in a bunch and 4 monkeys want to share them
evenly. How many bananas does each monkey get? *
Answer:
1.5 banana each
Step-by-step explanation:
can someone solve this
3 times the sum of a number and 8
Answer:
uh 3x+24 only if the the number is x if it is definite just plug it in to the equation
Step-by-step explanation:
Find the solution of y = 3x + 3 for x = –3.
(12, –3)
(–3, –6)
(–3, 0)
(–3, –2)
Answer:
B.
Step-by-step explanation:
Well, we know x=-3.
Substitute -3 for x in the equation, and solve. You should get -6.
(x,y)
(-3,-6)
Which expression can be used to find the volume of the sphere? A sphere with radius 9 inches. V = four-thirds pi r squared = four-thirds (3.14) (9) squared V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed V = four-thirds pi r cubed = four-thirds (3.14) (18) cubed V = four-thirds pi r cubed = four-thirds (3.14) (18) cubed Mark this and retur
Answer:
V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed
Step-by-step explanation:
There are 21 animals living in the barn. Some are chickens and some are horses. There are 46 legs in all. How many chickens and how many horses are in the barn?
Answer:
7 horses,and 6 chickens
I need help with math here is the problem 3(2x+6)
Answer:
6x+18
Step-by-step explanation:
Step-by-step explanation:
Distribute the 3 to the 2X and 6:
3 x 2X + 6 x 3 = (3 x 2)X + 18 = 6X +18
I really really need help
Step-by-step explanation:
you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result
why is it important to learn statistics?
how can you apply statistics in your everyday life?
Answer:
Statistics is a mathematical technique and science that attempts to extract valid knowledge using empirical data of observation or experiment. The main object of research and study of Statistics is the collection, processing and interpretation of various data with the ultimate goal of drawing safe conclusions for making correct decisions. It is an important science whose applications have a wide field in administration, business, as well as in positive and behavioral or social sciences.
Model the unknown number problem by writing an
algebraic expression. Then complete the statements.
Juan doubled his workout time.
Replace the words 'workout time" with.
The word "doubled" means
The correct algebraic expression is
Answer:
Model the unknown number problem by writing an algebraic expression. Then complete the statements.
Juan doubled his workout time.
Replace the words “workout time” with.
✔ the variable w
.
The word “doubled” means
✔ multiplied by 2
.
The correct algebraic expression is
✔ 2w
.
Step-by-step explanation:
Answer:
Model the unknown number problem by writing an algebraic expression. Then complete the statements.
Juan doubled his workout time.
Replace the words “workout time” with.
✔ the variable w
The word “doubled” means
✔ multiplied by 2
The correct algebraic expression is
✔ 2w
Step-by-step explanation:
PLEASE HELP ITS DUE SOONNNNN
Answer:
1 is correct.
2 is incorrect.
3 is correct.
4 is correct.
5 is correct.
6 is incorrect.
Step-by-step explanation:
You're welcome, hope I helped.
Find the HCF of 45 and 81.
Answer:
3² = 9
Step-by-step explanation:
45 = 3² × 5
81 = 3⁴
================
HCF = 3²
geometry, write statement and reason
p=
A. i
B. -1
C. -i
D. 1
Answer:
la respuesta es capó la B
Step-by-step explanation:
xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero
If A = (- 1, - 3) and B = (11, - 8) what is the length of AB? 13 units 12 units C. 11 units D. 14 units
Answer:
12 units is the answer.
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answer:
third angle =180-two congruent angles. is expression.
NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?
A.
x > 3
B.
x > 4
C.
x > 5
D.
x > 7
Answer:
D. x > 7
Step-by-step explanation:
The mine operates x hours per day and extracts 2 tons of ore per hour.
The amount of ore extracted as a function of hours of operation is
2x
The mine must produce 4 tons plus more than 10 tons each day. The mine must produce more than 14 tons in one day. That means that 2x must be greater than 14.
2x > 14
Divide both sides by 2.
x > 7
Answer: D. x > 7
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
Answer the photo below thanks
Answer:
Tu = 15
Step-by-step explanation:
Since
rec MNOP is similiar to STUV
then
OP/UV = NO / Tu
then
4/6 = 10/ Tu
Tu = 6 * 10 / 4 = 15
7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.
Answer:
A=-6 is the answer
Step-by-step explanation:
it's simple
Work out the values of a and b in the identity
4(9x + 11)+5(3x+b)
A=
B=
Answer:
=36x+44+15x+5bƩƩƩƩ
=51x+44+5b ƩƩƩƩƩ
HELP I NEED HELP ASAP
Answer:
C) Linear
Step-by-step explanation:
To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.
Hope it helps!
Analyze the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas. Explain your answer in 1–2 sentences
25 POINTS!
Answer:
Step-by-step explanation:
Firstly, we should begin to know what leveling off is.
Leveling off- to stay the same after a period of increase
Nearing the end of the graph you can see there is no continuous increase for the rotifers. That can be explained by carrying capacity. The flask has limited space.
There is no continuous increase for the rotifers.
We have given that the scatter diagram
And we have to determine, the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas
What is the leveling off?Leveling off- to stay the same after a period of increase
Nearing the end of the graph you can see there is no continuous increase for the rotifers.
That can be explained by carrying capacity.
The flask has limited space.
Therefore, there is no continuous increase for the rotifers.
To learn more about the scatter graph visit:
https://brainly.com/question/6592115
Find the product (x + 4)
Answer:
4x
Step-by-step explanation:
It would be 4x because you have no value given of the variable "X"
therefore, your answer would just be adding the x to the 4 making it 4x
hope this helped!
Solve for x.
ax + b = r
O
b-r
X=
a
O
r-b
X=
a
b-a
X=
r
O
ar
X=
b
Answer:
x = (r-b) /a
Step-by-step explanation:
ax + b = r
Subtract b from each side
ax+b-b = r-b
ax = r-b
Divide each side by a
ax/a = ( r-b)/a
x = (r-b) /a
(Grade 7 math) What is the area of the triangle when b=3.5 and h=3? B is the base and h is the height
Answer:
The area of the triangle
A = 5.25 square units
Step-by-step explanation:
Explanation:-
Given that the base of the triangle(b) = 3.5
The height of the triangle(h) = 3
The area of the triangle
[tex]A = \frac{1}{2} base X height[/tex]
[tex]A = \frac{1}{2} (3.5) (3)[/tex]
A = 5.25 square units
