Answer: A. perpendicular
Step-by-step explanation: First, you have to determine the slope of both lines and you can do so using the slope formula: (y2 - y1)/(x2 - x1). You should get the slope -2/5 for the first line and 5/2 for the second. Because one line has a slope that is the negative reciprocal of the other, these lines are perpendicular.
NEED HELP ASAP
The length of a rectangular parking lot at the airport is 2/3 mile.if the area is 1/2 square mile, what is the width of the parking lot?
Answer:
3/4 mile
Step-by-step explanation:
[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Solution:-[tex]\sf{z = kxy}[/tex]
[tex]\sf\rightarrow{16=k(4)(6)}[/tex]
[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]
[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]
Answer:-The equation of variation is,
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]
[tex]{\large{——————————————————}}[/tex]
#CarryOnMath⸙
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Answer:[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]
A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Since your question doesn't specify what form you need your answer in, I’ll answer in slope intercept form.
Slope intercept form looks like this: y = mx + b.
m represents slope, b represents y intercept. we already have the slope, 2. To find the y intercept, we can plug in the given values for x and y and solve for x.
y = 2x + b
5 = 2(8) + b
5 = 16 + b
- 11 = b
so, the y intercept is - 11. we can plug this into your equation.
y = 2x - 11
There you go! this is your final answer.
Answer:
y= 2x-11 ihope you like it plz mark it brilliantThe height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t) is height in feet How far off the ground is a seat when it is at the top of the Ferris wheel?
Answer:
101ft
Step-by-step explanation:
the answer is in the above image
Find the slope of the line below. Enter your answer as a fraction or decimal. Use a slash mark (/) as the fraction bar if necessary.
Answer:
1/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
= (2-0)/(4 - -4)
= (2-0)/( 4+4)
= ( 2/8)
= 1/4
Math help please show work thanks
Answer:
The curve surface area(CSA) of a cylinder is 2πrh.
Since diameter=1.5 in.
radius=diameter/2
=1.5/2 in.
=0.75 in.
And, the height of the bottle is 5 in.
Now,
CSA=2πrh
=2π*0.75*5 in^2
=15π/2 or 23.56 in^2
The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.
1 centimeter = 3 meters. A rectangle with length 7 centimeters and width 1.75 centimeters.
Gabriel planned a vegetable garden. Use the scale and the scale drawing to complete the following statements.
The length of the garden is
meters.
The width of the garden is
meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is
meters and the new width of the garden is
meters.
The new length of the garden is
times as long as the original length of the garden.
Answer:
The length if the garden is 21 meters.
The width of the garden is 5.25 meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.
The new length of the garden is 3 times as long as the original length of the garden.
Answer:
D/4 - 21
C/3 - 5.25
D/4 - 63
C/3 - 15.75
B/2 - 3
Step-by-step explanation:
A cell phone company offers a contract that costs $14.99 plus $0.06 per minute. Find the total number of minutes used if the bill for October was $20.21.
Answer:
87 minutes
Step-by-step explanation:
Let the total number of minutes = m
Our equation is given as:
$20.21 = $14.99 + 0.06m
20.21 = 14.99 + 0.06m
Collect like terms
0.06m= 20.21 - 14.99
0.06m = 5.22
m = 5.22/0.06
m = 87
Therefore, the total number rod minutes used is 87 minutes
answer the question in detail !!!
Answer:
ok so this means 2/5 of the plant have germs and
5-2=3
so 3/5 plants are all good
5 times 20=100
3 times 20=60
so 60% of the plants have germs
Hope This Helps!!!
Which expression correctly represents the perimeter of a rectangle that is 12 centimeters long and 7 centimeters wide?
Answer:
The expression for the perimeter of the rectangle is:
P = 2*(12 cm) + 2*(7 cm)
And the perimeter is:
P = 38cm
Step-by-step explanation:
We know that for a rectangle of length L and width W, the perimeter is given by:
P = 2*L + 2*W
So, if we have a rectangle that is 12 cm long, we have L = 12cm
and if the rectangle is 7cm wide, we have W = 7cm
Now we can replace these in the perimeter equation to get:
P = 2*(12 cm) + 2*(7 cm)
P = 24cm + 14cm
P = 38cm
work out the sizeof angle X
Answer:
x = 13°
Step-by-step explanation:
Since the lines are parallel , then
the lower left vertex of the triangle = 85° ( alternate angles )
the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )
Then
x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )
D equals f plus fx, solve the equation for x
Answer:
question says D = f + fx,
then,
D = 2fx
so,
D/2f = x
Why is addition used to represent the submarine’s position changing from －8
feet to 0 feet below sea level?
What integer represents a submarine 8 feet below sea level?
What integer represents a submarine rising 8 feet?
The solutions to the equation -4|x + 9| = -8 are:
7, 11
7, -11
-7, 11
-7, -11
Answer:
option 4
Step-by-step explanation:
Given Equation :-
=> -4| x + 9 | = -8
To FinD :-
=> Solution of the equation .
Solving it :-
=> -4| x + 9 | = -8
=> | x + 9 | = -8/-4
=> |x + 9| = 2
=> ( | x + 9 | )² = 2²
=> x + 9 = ±2
=> x = -9 +2 , -9-2
=> x = - 7 , -11
Option 4 is correct.
Answer:
x = - 7 , - 11
Step-by-step explanation:
[tex]-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7[/tex]
What is the length of EF in the right triangle below?
E
19
12
F
Answer:
F
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
EF² + 12² = 19²
EF² + 144 = 361 ( subtract 144 from both sides )
EF² = 217 ( take the square root of both sides )
EF = [tex]\sqrt{217}[/tex] → F
The length of EF in the right triangle below is √217.
Option F is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Using the Pythagorean theorem,
DE² = EF² + DF²
19² = 12² + EF²
EF² = 361 - 144
EF = √217
Thus,
The length of EF in the right triangle below is √217.
Learn more about the Pythagorean theorem here:
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I need help w/ this.
Answer:
just click in the box it literally says
find the compound ratio of the following
a) 2/15 : 3/7 and 5/8 : 14/27
please help me
give in step by step
Answer:
1/12 : 2/9Step-by-step explanation:
Compound ratio is the multiplication of the ratios:
2/15 : 3/7 and 5/8 : 14/27Multiply to get:
(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9Given ratios,
2/15 : 3/7 and 5/8 : 14/27
Then to find the compound ratio,
We have to multiply,
→ (2/15 × 5/8) : (3/7 × 14/27)
→ 10/120 : 42/189
Now simplify the ratio,
→ 1/12 : 2/9
Thus, required ratio is 1/12 : 2/9.
which of these is a number that can be expressed as a nonrepeating, nonterminating decimal?
Answer:
an irrational number
Step-by-step explanation:
Answer:
Irrational numbers
Step-by-step explanation:
First, to solve this question, we need to know what irrational numbers are. Irrational numbers are numbers that cannot be expressed as a simple fraction. A nonterminating decimal cannot be expressed as a simple fraction, therefore making it an irrational number.
Hope this helps!
Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?
Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
Can someone
Please
Help
Me
Find the surface area of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres
S.A. = 4nr?
V = rer
[?] ft?
[tex]804.2\:ft^{2}[/tex]
Step-by-step explanation:
[tex]A=4 \pi r^{2}[/tex]
We are given D = 16 ft, which means that r = (1/2)D = 8 ft. Therefore, the surface area of the sphere is
[tex]A=4 \pi (8 ft)^{2} = 804.2\:ft^{2}[/tex]
The surface area of the sphere is approximately 804.2 square feet.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3 πr³
We have,
The surface area of a sphere with diameter d is given by the formula:
SA = 4πr²
where r is the radius of the sphere, which is half the diameter. In this case, the diameter is 16 feet, so the radius is 8 feet.
Plugging in the value of r, we get:
SA = 4π(8²)
SA = 4π(64)
SA = 256π
Rounding to the nearest tenth gives:
SA ≈ 804.2 square feet
Therefore,
The surface area of the sphere is approximately 804.2 square feet.
Learn more about sphere here:
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please can someone help me with this
Answer:
brainllest if right
90
Step-by-step explanation:
Please help 7th grade math and please give explanation so I can show work I will give brainleyist or a thank you !!!!
Answer:
so easy q.
bc u r in 7th lol
it's 60
for both
Find the nth term for 3,8,13,18
Answer:
5n - 2
Step-by-step explanation:
3 + x = 8
8 - 3 = 5
5 = x
3 (first term) - 5 = -2
5n - 2
Answer:
nth term = 5n - 2
Step-by-step explanation:
The given sequence is 3, 8, 13, 18.
To find the nth term, we have to find the algebraic expression.
Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.So, d = 8 - 3
d = 5
b = first term - common difference
b = 3 - 5
b = (-2)
Algebraic expression or the nth term =
5n + (-2)
5n - 2.
Thus, the nth term equals to 5n-2!
Show √7 , √5 on a number line.
please hurry up my cissy and oppa
Answer:
Draw the number line like in the picture.
Step-by-step explanation:
√5 is about 2.236, meaning it's kind of close to 2.25.
√7 is about 2.646, meaning it's very close to 2.625.
What is the measure of
A. 55°
B. 45°
C. 90°
D. 35°
Answer:
D
Step-by-step explanation:
90-55=35 degrees ;)
Answer:
D
Step-by-step explanation:
as we know that all the angles in a rectangle are 90° so the,
you will get 90° - 55° = 35°
option D is the right answer.
Please help
is not a exam is a activity
Answer:
y= 5x
Step-by-step explanation:
since each x number is 1/5 of the y, it's 5 times x = y
Find the value of x in The parallelogram.
Answer:
11
Step-by-step explanation:
those alternate angles are equal to each other
5x+4=59
5x=55
x=11
Answer:
(5x + 4) = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
Please show your working too
1. Five men takes 3 hours and 20 minutes paint a house. How long would it take four men to paint a similar house? Give your answer in hours and minutes.
2. If 24 houses can be built by 6 builders in one year, how many builders would it take to build 52 houses in the same amount of time?
3. Two people can build four identical walls in three days. At this rate, how many of these walls could ten people build in 3.75 days?
4. Two toy makers can make eight toy soldiers in two weeks. How many toy soldiers could seven toy makers make in three weeks if they work at the same rate?
Answer:
1. 4hrs and 10mnts
2. 13 builders
3. 25 walls
4. 52 toy soldiers
Step-by-step explanation:
1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts
2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses
3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days
4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks
Statement ∠T and ∠S are complementary ∠S and ∠U are complementary m∠T+m∠S=90 m∠S+m∠U=90 m∠T+m∠S=m∠S+m∠U m∠U=m∠T ∠U≅∠T
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementaryThus, m∠T + m∠S = 90 ------ Equation 1
& m∠S + m∠U = 90 ------- Equation 2
Now, Subtract Equation 2 From Equation 1, we getm∠T - m∠U = 0
Thus, m∠T = m∠U
The measure of angle T is equal to angle U.(∠U≅∠T).
Use the image to complete the equation below
Given:
A figure in which a transversal line intersect the two parallel lines.
To find:
The missing value for the equation [tex]m\angle \_+m\angle BPD=180^\circ[/tex]
Solution:
In the given figure, the two parallel lines are line ED and line AB, and CD is the transversal line.
Angle BPC and angle BPD lie on a straight line CD. So,
[tex]m\angle BPC+m\angle BPD=180^\circ[/tex] (Supplementary angles)
Angle APD and angle BPD lie on a straight line AB. So,
[tex]m\angle APD+m\angle BPD=180^\circ[/tex] (Supplementary angles)
Therefore, the required complete equations are [tex]m\angle BPC+m\angle BPD=180^\circ[/tex] and [tex]m\angle APD+m\angle BPD=180^\circ[/tex].