Hey there! I'm happy to help!
In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.
So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.
1/2h=12
Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.
h=24
Therefore, the hypotenuse is C) 24.
I hope that this helps! Have a wonderful day!
Hey guys can yall help me plzz? Explain how u found the answer too plzz! 20 points?
Math Problem: An airplane traveled 5.7 x 102 miles per hour for 1.4 x 101 hours. How far did the airplane travel?
Answer:
82209,96 miles
Step-by-step explanation:
1. 5,7 x 102 = 581,4 miles/hour
And
1,4 x 101 = 141,4 hours
2. 141,4 (hours) x 581,4 (miles) ÷ 1 (hour) = 82209,96 miles
It's the rule of three...
I hope it helped you!
Which ordered pair would form proportional relationship with the point graphed below ?
Answer:
(-30, 10)
multiply -20/60 by -0.5 each and you get 10/-30
this is the only pair achievable by proportion.
Find the value of y that makes the equation y= 2/3 x-4 true when x= 9.
a 2
b 4
c 6
d 10
Answer:
a. 2
Step-by-step explanation:
Plugging in 9 for x and 2 for y we get: 2=2/3(9)-4
2/3 times 9 = 6
6-4 is 2
When solved we get 2=2 this is true.
Brandon owns a car that has a value of $6,043 and a boat that has a value of $950. He owes $4,740 to credit cards and has stocks valued at $10,426. Using these assets and liabilities, what is Brandon's net worth?
A.
$12,679
B.
$10,779
C.
$1,307
Answer:
This puts Brandon at a net worth of $12,679. So, your answer is option A.
Step-by-step explanation:
A 25 foot ladder leans against a house. How far is the foot of the ladder from base of the building if the top of the ladder is 30 feet from the ground?
Answer:
15ft
Step-by-step explanation:
Because the Pythagorean theorem stats [tex]A^{2}+B^{2}=C^{2}[/tex] the first leg, the unknown leg would be A. The leg that is the side of the house would be substituted in for B. The length of the ladder would be C. Thus [tex]x^{2}+20^{2}=25^{2}[/tex], then you would simplify it to [tex]x^2+400=625[/tex] then you would subtract 400 from both sides. Then that would equal [tex]x^{2}=225\\[/tex]. Then you would square root both sides giving you [tex]x=15\\[/tex].
Which expression is equivalent to StartFraction (4 p Superscript negative 4 Baseline q) Superscript negative 2 Baseline Over 10 p q Superscript negative 3 Baseline EndFraction? Assume p not-equals 0, q not-equals 0. StartFraction 25 p Superscript 10 Baseline Over 4 q Superscript 8 Baseline EndFraction StartFraction 2 q Over 5 p Superscript 5 Baseline EndFraction StartFraction p Superscript 7 Baseline q Over 160 EndFraction StartFraction 125 p Superscript 11 Baseline q Over 2 EndFraction
Answer:
C. [tex]\frac{p^7q}{160}[/tex]
Step-by-step explanation:
Answer: C
Step-by-step explanation:
PLSSSSSSSS HEELP
THANKS
Answer:
-1/3 or -0.33
Step-by-step explanation:
Square root of 4 equals 2 and 3(x-1) is 3x -3. So, 2-3 equals -1 divided by 3 equals -1/3 or -0.33.
PLZ MARK BRAINLIEST!!!
A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is 20 feet from the ground?
Answer:
C.
Step-by-step explanation:
x^2+20^2=25^2
x^2+400=625
x^2=225
x=15
sheila plans to row across the lake from point A to point B as shown below. to determine how far she will have to row, she has choen a point C and calculate the labeled data. how many miles will she have to row? round your answer to two decimal places.
answer here ________
Answer:
13.56
Step-by-step explanation:
Jackson gave Lena this expression to evaluate: 14(8 + 12). Lena said that to evaluate the expression was simple; just multiply the factors 14 and 20. Jackson told Lena she was wrong. He solved it by finding the product of 14 and 8 and then adding that to the product of 14 and 12.
a. Evaluate the expression using each student’s method.
b. Who was right in this discussion? Why?
Answer:
In this discussion, they both got the same answer, so they're both right. However, when Jackson said Lena was wrong, he was incorrect, because Lena's way was also correct. So, they were both right in this discussion when it comes to the answers, but Jackson was wrong when he said lena was wrong. (I hope this helped).
Step-by-step explanation:
Lena: 14(8 + 12)
14(20)
280
Jackson: 14 x 8 = 112
14 x 12 = 168
168 + 112 = 280
I need help will give brainliest!!!
Answer:
29,25,C
Step-by-step explanation:
A parachutist's rate during a free fall reaches 75 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet.
Answer:
40 meters
Step-by-step explanation:
write an equation for the line graphed
Y=_________
pls answer the question cause I really need the answer to this question
Answer:
y = 3x + 2
Step-by-step explanation:
So we can use the point-slope equation to help us figure out our y = mx +b equation
First we need to choose two points on the graph so we can calculate our slope
I personally like to choose point that intersects two numbers perfectly on the line rather than a point that is maybe half way between two numbers
So we can use the point (0,2) and the point (2,8)
Our (0,2) will represent (x₁, y₁) and our (2,8) will represent (x₂,y₂)
The equation to find the slope is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex], so plugging in our values, we get [tex]m=\frac{8-2}{2-0} =\frac{6}{2} =3[/tex]
We have found our slope, 3, and now we can use the point-slope equation: y - y₁ = m(x - x₁) to figure out the remainder of the equation.
Plugging in our values we get: y - (2) = (3)(x - (0)) which simplifies to y - 2 = 3x which then simplifies to y = 3x + 2
The quotient of fifteen and three minus four
Answer:
1
Step-by-step explanation:
(15 divided by 3) - 4
5-4=1
Which polynomials are prime? Check all that apply.
2.22+ 7x + 1
5.x2 - 10.x + 5
3.x2 + 8
4.x2 - 25
x2 + 36
Answer:
a b d
Step-by-step explanation:
is all that apply
Answer:a c e
Step-by-step explanation:just took it. Those are all that apply.
In the system 4x + 9y = 7 and and 4x - 9y = 9, would I add or subtract this system to solve for x? To solve for y?
add to solve for x or add to solve for y
subtract to solve for x or subtract to solve for y
add to solve for x and subtract to solve for y
subtract to solve for x and add to solve for y
Answer:
add to solve for x and subtract to solve for y
Step-by-step explanation:
To solve for any variable, it is required to eliminate the other variable in two variable - two equation set.
The set of equations are
4x + 9y = 7 __________1
4x - 9y = 9 ___________2
To solve for x we need to eliminate Y
We see that in equation 1 there is 9y and
in equation 2 there is -9y
if we add 9y and -9y (9y -9y = 0)
Hence it is clear that to solve for x , it is needed to add equation 1 and equation 2.
by adding equation 1 + equation 2 we have
4x + 9y = 7 __________1
=> 4x - 9y = 9 ___________2
=>4x + 9y + 4x -9y = 7 +9
=>8x = 16
=>x = 16/8 = 2
____________________________
To solve for y we need to eliminate x
We see that in equation 1 there is 4x and
in equation 2 also there is 4x
if we subtract 4x and 4x (4x -4x= 0) , we get 0
Hence it is clear that to solve for y , it is needed to subtract equation 2 from equation 1.
by performing equation 1 - equation 2 we have
4x + 9y = 7 __________1
=> 4x - 9y = 9 ___________2
=>4x + 9y -( 4x -9y) = 7 - 9
=>4x + 9y - 4x +9y = -2
=>18y = -2
=>y = -2/18 = -1/9
_____________________________
Thus, correct answer is
add to solve for x and subtract to solve for y
Answer: The answer is add to solve for x and subtract to solve for y, I hoped this helps, brainliest please? :)
Step-by-step explanation:
Find the area of a regular pentagon with an apothem of 11 units. *
364 square units
O 440 square units
516 square units
O 166 square units
Answer:
440 square unitsStep-by-step explanation:
We can find half of a side of the pentagon with the expression
[tex]tan(36\°)=\frac{s_{half} }{11}[/tex]
Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.
[tex]s_{half} \approx 8[/tex]
Therefore, half of a side is 8 units long, which means each side measures 16 units.
Now, the area of a penthagon is defined by
[tex]A=\frac{p \times a}{2}[/tex]
Where [tex]p[/tex] is the perimeter and [tex]a[/tex] is the apothem. Where the perimeter is the sum of all sides, which is 80 units.
[tex]A= \frac{80 \times 11}{2} =440 \ u^{2}[/tex]
Therefore, the right answer is the second choice.
30 POINTS!! THREE QUESTIONS!! WORTH 30 POINTS!! FINDING AREA AND CIRCUMFERENCE!!! [tex]\pi[/tex] = 3.14 and if you need me to I can help you work up the steps!!
Find the area and circumference of the circles:
[tex]\pi[/tex] = 3.14
Circles 1 & 2 are shown by the pictures, circle 3 is a word problem
Circle 1 is the picture with the number 10.4in
Circle 2 is the picture with the number 8.6ft
Preferred Answering :
Circle 1 Circle 2 Circle 3
Circumference: Circumference: Circumference:
Area: Area: Area:
Answer:
These are the formulas to find area and circumference of a circle.
Area = pie (times) radius squared
A=πr^2
Circumference= 2 (times) pie (times) radius
C=2πr
Hope this helps enough
Name the relationship: complementary, supplementary, vertical, adjacent, alternate interior, corresponding, or alternate exterior.
corresponding
O complementary
O supplementary
O alternate interior
Answer:
Quanto fa 1678890786+279265291
HURRY WILL MARK BRAINLIEST AND CASHAPP 10 BUCKS.
Which fraction id's represented by point A on the number line HURRY!!
Answer:
-1/4
Step-by-step explanation:
The dot is negative because it is below 0. It is 1/4th of the way from 0 to -1. Therefore it is -1/4.
Answer:
-1 / 4 ?
Step-by-step explanation:
Because it's already in the negative section.
What is the volume of the cylinder? Express the answer in terms of Pi.
A cylinder with a diameter of 8 centimeters and height of 18 centimeters.
Recall the formula V = pi r squared h.
288 pi Centimeters cubed
1,152 pi Centimeters cubed
1,296 pi Centimeters cubed
2,592 pi Centimeters cubed
Answer:
288 pi Centimeters cubed
Step-by-step explanation:
To find the volume of the cylinder with diameter of 8 centimeters and height of 18 centimeters, we will follow the steps below:
First, write the formula for calculating the volume of a cylinder
volume of a cylinder = πr²h
where r is the radius and h is the height of the cylinder
from the question given, height h = 18 cm and diameter = 8 cm
but diameter = 2r, this implies that r=[tex]\frac{d}{2}[/tex] hence radius r = [tex]\frac{8}{2}[/tex] = 4 cm
we can now proceed to insert the values into the formula;
volume of a cylinder = πr²h
=π×4² ×18
=π×16 ×18
=288 π cm³
volume of the cylinder = 288 π cm³
Answer:
its A
Step-by-step explanation:
288 pi Centimeters cubed
cos 60° = 1/2
and sin 60º SQT 3/2
True or false
Answer: true...
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
In a standard 90°- 60°- 30° triangle
with legs 1 and [tex]\sqrt{3}[/tex] and hypotenuse 2
cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] ← True
In the figure, polygon ABCD is transformed to create polygon A’B’C’D’. This transformation is a
reflection transformation i believe. Correct me if im wrong im not that smart lol.
The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16t^2 + 16t + 32, where h is the height in feet above the ground and t is the time in seconds. Find the time it takes the flare to reach the ground
Answer:
Time, t = 2 seconds
Step-by-step explanation:
The height of a flare fired from a 32-foot high platform can be modeled by the function :
[tex]h= -16t^2 + 16t + 32[/tex]
Here, h is the height in feet above the ground and t is the time in seconds.
It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,
h = 0
[tex]-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s[/tex]
Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.
PLEASE ANSWER.
A. Reflection over the x-axis and translation 4 units left.
B. Refection over the y-axis and translation 6 units down.
C. 90 degrees counterclockwise rotation about the origin and translation 2 units down
D. 180 degrees counterclockwise rotation about the origin and translation 2 units down
Answer:D
Step-by-step explanation:180 degrees counterclockwise rotation about the origin and translation 2 units down
Write an equation and solve
Nine less than five times a number equals 71. Find the number
Pleeasseeeeeeejdje helppp
Answer:
9.3361
Step-by-step explanation:
simplify each term
subtract 3.51 from 6.2
In the diagram below, AB is parallel to CD. What is the value of x?
A. 30
B. 60
C. 150
D. 120
Answer:
C. 150
Step-by-step explanation:
x° + 30° = 180°...(sum of interior angles)
x° = 180° -30°
x°= 150°
x= 150
The value of x° in the given diagram is 150°. This is obtained by using the pair of interior angles formed along a transverse when passing through parallel lines.
What are the interior angles?The angles that lie inside or in-between region of the parallel lines when a transverse passes through them are said to be pair of Interior angles. These angles are on the same side of the transverse.The sum of these angles is 180°.What are the verticle angles?The verticle angles are opposite to each other when two lines are intersected at a point. Those angles are the same in size.
Calculating the angle x:It is given that line AB is parallel to line CD and transverse is making angles with these lines.
The angles are x° and 30°.
The angle of 30° is at the exterior side of these lines at the point of intersection of line CD and the transverse line. So, it forms a verticle pair of angles with the angle opposite to it.
Thus, the angle opposite to it also becomes 30°. This opposite angle lies inside the parallel lines. So it forms a pair of interior angles with a given angle x.
Since we know that sum of pair of interior angles = 180°, we get
x° + 30° = 180°
⇒ x° = 180° - 30°
⇒ x° = 150°
∴ x = 150°
Thus, the angle x = 150°. So, option C is correct.
Learn more about interior angles here:
https://brainly.com/question/16976757
#SPJ2
Need help! Please answer asap
Answer:
The NMTAndP are all the same
will mark as bianleast
Which of the following ratios in a circle is equal to π?
circumference to radius
radius to circumference
diameter to circumference
circumference to diameter
Answer:diameter to circumference
Answer:
Circumference to diameter
Step-by-step explanation: