Answer:
The firefighter should extend the ladder at 54° of elevation.
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Tangent Ratio:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.
The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.
Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:
[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]
The angle is calculated as the inverse tangent:
[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]
The firefighter should extend the ladder at 54° of elevation.
A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true
Answer:
Option (4)
Step-by-step explanation:
Transformations like translation, rotation, dilation and reflection are the examples of rigid transformations.
Since, size and shape remains unchanged in the rigid transformation,
Image of a parallelogram will remain the same (congruent) after the given transformations.
Therefore, Option (4) will be the answer.
HELP PLEASE QUICK multiple choice.
What is the solution set of the equation?
7w2=1183
{−28,561, 28,561}
{−13, 13}
{−91, 91}
{−169, 169}
Answer:
{-13, 13}
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
{−13, 13}
Answer:
Solution given:
7w²=1183
w²=1183/7
w=√(169)
w=±13
What is the equation of the graphed line written in standard form?
Answer:
The last one 5x-3y=15 This is the same as y= (5/3)x -5
Step-by-step explanation:
5x-3y=15
Move 5x to the right (becoming negative)
-3y = -5x +15
Divide everything by - 3
y= (5/3)x -5
y intersect= -5 ( line crosses y coordinate at -5)
Slope = 5/3 From -5 you start counting (5 up,3 right,5 up,3 right.... OR 5 down,3 left,5 down,3 left........)
if 10 people and 400 animals go to a barn were are the people? if you cant figure out please do not report ill cry.
Answer:
18
Step-by-step explanation:
So you need to do f(x) 5x^2+3x-19+3
You would simplify the equation to get to y=4x+5f(x)+2
Naturally, you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0
Then solve using the square method (b/2)^2=(6)^2
Then put the 6 on both sides of the equation.
6^2+w0+8x+7t^2
After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respiratory system.
There ya go: 18.
hi pls help! :)
!!!!!!!!!!!!!!!!!
Answer:
y=14
x=30
Step-by-step explanation:
I dont know the equation but here are the measure of the angles
3y+5=43 y=14
2x=60 x=30
What is that rate of change for the equation y=2x+60?
Answer:
2
Step-by-step explanation:
the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope
solve the equation
2+ x/-10 = 2/5
a: -16
b: -24
c: 16
d: 24
Answer:
x = 16
Step-by-step explanation:
2+ x/-10 = 2/5
2 - 2 + -1/10x = 2/5 - 2
(10/-1) -1/10x = -8/5 (10/-1)
x = 16
Answer:
gddhdbjdbewb
Step-by-step explanation:
decnsnx wjdeni
a force of 10 newtons act in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
A. 2.59 joules
B. 3.88 joules
C. 38.82 joules
D. 150.00 joules
Answer:
C
Step-by-step explanation:
i think
The required work done is 38.82 joules.
Work done to be determine for force of 10 newton on angle of 75° for 15 meters.
Work done is define as the force required to move an object by some displacement.
Here, work done = force x displacement x cosФ
= 10 x 15 x cos75°
= 150 x 0.25
= 38.82 joules
Thus, the required work done is 38.82 joules.
Learn more about work done here:
https://brainly.com/question/13662169
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Who needs help with Ratios?
2:3 OR 2 to 3 : or 2/3
Willing to help
Answer:
2/3 is the best
Write each percent as a fraction in simplest form. 16%
PLEASE CAN YOU ANSWER THIS? AND IF YOU CAN PLEASEEEEEEEEEE EXPLAIN HOW YOU GOT IT, THANKS!
Answer:
[tex]\frac{4}{25}[/tex]
Step-by-step explanation:
16% is equal to [tex]\frac{16}{100}[/tex]
[tex]\frac{16}{100}[/tex] can be simplified by dividing by 2, giving you [tex]\frac{8}{50}[/tex], which can be divided by 2 again, giving you [tex]\frac{4}{25}[/tex].
[tex]\frac{4}{25}[/tex] can't be simplified again.
Answer:
16% = 4/25
Step-by-step explanation:
First, turn the percentage (16%) into a fraction with 100 in the denominator:
16% = 16/100
Now, you just need to simplify 16/100:
16/100
= 4/25
Both sides were divided by 4 to get the most simplified answer because 4 is the greatest common factor of 16 and 100.
please help and answer......
Answer:
C not like terms
Step-by-step explanation:
Answer:
the answer is LIKE TERMS because 10 doesnt have a variable of y
Step-by-step explanation: Brainliest please.
Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
15 points!
9514 1404 393
Answer:
Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EFReflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with EStep-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
__
Additional comment
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
Answer:
Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
__
Additional comment
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
(-2,4) ,(3,-6) point slope form
find area and perimeter
pls show work
Step-by-step explanation:
ok so first you can split the object into 2 different shapes like the first picture.
next you can start with shape labeled 1
and the perimeter of that would be 5+5+4+4 =14
so the perimeter is shape 1 is 14
the area would be5×4 which is 20
now shape 2 the perimeter of that would be 8+8+2+2 which is 20
the area would be 8×2 which would be 16
so then you add the are and perimeter of each shape together
p= 14+20=34
a= 20+16= 36
Write an expression equivalent to (6x + 4y) – 2y by combining like terms.
Answer: 6x + 2y
Step-by-step explanation:
a. What is the distance between points and K? Show
your work.
Answer:
Can you attach a picture?
Step-by-step explanation:
Put it DB and I'll gladly answer!
4(2x - 3) = 8x – 12
Solve for the following equation
Answer:
8x-12=8x-12
Step-by-step explanation:
they are the same
What is the slope intercept form of the equation 4x-8y=72
Answer:
y = 1/2x - 9
General Formulas and Concepts:
Alg I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 4x - 8y = 72
Step 2: Find slope-intercept form
Subtract 4x on both sides: -8y = 72 - 4xDivide both sides by -8: y = -9 + 1/2xRewrite: y = 1/2x - 9Yesterday, Janie walked 35 mile to a friend's house, 14 mile to the store, and 38 mile to another friend's house. Which is the best estimate of the distance Janie walked?
Answer:
1 1/4 miles
Step-by-step explanation:
Draw the straight line y= 2-x
Answer:
Step-by-step explanation:
y = 2 - x
(0, 2)
(1, 1)
(2, 0)
The attached graph represents the line of y = 2 - x
How to draw the line?The equation of the line is given as:
y = 2 - x
The above is a linear equation that has the following features:
Slope = -1y-intercept = 2Next, we draw the line using a graphing tool
See attachment for the line of y = 2 - x
Read more about linear equations at:
https://brainly.com/question/14323743
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Sandra hikes 9/10 mile every 30 minutes,or 1/2 hour. How many miles does she hike each hour?
9514 1404 393
Answer:
1.8 miles
Step-by-step explanation:
In the first half hour, Sandra hikes 9/10 = 0.9 miles. She hikes that distance again in the second half-hour. After an hour, Sandra has hiked ...
2 × 0.9 miles = 1.8 miles
__
If you like, you can consider it a "unit rate" problem. To find miles per hour, divide miles by hours:
(9/10 mi)/(1/2 h) = (9/10)(2/1) mi/h = 9/5 mi/h = 1.8 mi/h
Sandra hikes 9/5 or 1.8 miles in an hour.
Please help! I'll give brainlist!!!
Answer:
C
Step-by-step explanation:
3/4+(-1/8) which is 3/4-1/8. 6/8-1/8 which is 5/8 or option C.
Hope this helps please mark brainliest :D
What is the first step in solving the system by the substitution method?
x + 2y = 8
3x - 4y = 4
19
O Subtract 2y from cach side of x + 2y = 8
O Add x + 2y = 8 to 3x - 4y = 4
O Multiply x + 2y = 8 by-3
O Set x + 2y equal to 3x - 4y = 4
diameter of the cylinder given that the volume is 704 cm³ and the height is 14 cm .
Answer:
8.00 cm (to 3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: cylinder = \pi {r}^{2}h }[/tex]
*r= radius of the cylinder
h= height of cylinder
Substitute the given volume and height into the formula:
704= πr²(14)
[tex]{r}^{2} = \frac{704}{14\pi}[/tex]
Square root both sides:
[tex]r = \sqrt{ \frac{704}{14\pi} } \\ r = 4.0008 \: (5 \: s.f.)[/tex]
Diameter= 2(radius)
∴ Diameter of cylinder
= 2(4.0008)
= 8.0016
= 8.00cm (3 s.f.)
Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0
The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?
Answer:
24 individuals
Step-by-step explanation:
Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...
($480 - $120) / $15 = x
$360 / $15 = x
24 = x
Finally, we can see that a total number of 24 individuals attended the party
i need help with this 293 ÷ 102
the answers are:
2.93
29.3
293
2,930
Answer: 2.93
Step-by-step explanation:
The answer is appx. 2.8725, when rounded up it becomes 2.93.
Answer:
2.93
Step-by-step explanation:
Identify the property on this equation 4x + 3 = 3 + 4x
Answer:Infintely many
Step-by-step explanation:
Step 1:4x+3=3+4x. Subract 3 from both sides
Step: 4x=4x. Because 4x=4x,if it was 3x=4x it would be no solution.
Answer: Commutative Property of Addition
The general rule for this is a+b = b+a
We can add any two numbers in any order we want.
Example: Since 2+3 = 5 and 3+2 = 5, we know 2+3 = 3+2
pls give the answer
Answer:
It should be 245 m
Step-by-step explanation:
Separate it like this:
chop of the rectangle part and find the area of that and then add it to the trapezoid part
10*20 = 200.
Area of a trapezoid = 5+10/2 *6.
5+10 = 15. 1
5/2 = 7.5.
7.5*6 = 45.
45 + 200 = 245
help needed
Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles.
How many square feet of plywood does Oliver need to build the ramp?
help atleast tell me how to solve it or just give me the answer !
Yeeeeeeeeeeeep aight.
