x1 = 9, x2 = 3
y1 = -1, y2 = 3
By using Distance formula[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]
Hope it helps2x+y+2z=-2
-2x+2y-z=-5
4x+y+2z=0
Answer:
minden new yemilew yihegnaw tiyake
Given: AD || BC and AD = BC.
Prove: AB || DC
Answer:
Step-by-step explanation:
A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude
Answer:
Area of given triangle is 939.15cm² and smallest altitude is 30.8cm
Solution:We are given three sides of a triangle, Let the sides be :
( a ) = 35 cm( b ) = 54 cm( c ) = 61 cmWe can find the area of the triangle with its three sides using Heron's Formula
Heron's FormulaHeron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:
[tex] \sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}[/tex]
where ( s ) :
[tex] \sf \longrightarrow s = \dfrac{a + b + c}{2} [/tex]
Therefore, for the given triangle first we will calculate ( s )
[tex] \begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}[/tex]
Now, Area of triangle will be:
[tex] \begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}[/tex]
Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,
[tex] \begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}[/tex]
Answer:
Area = 939.15 cm² (2 d.p.)
Shortest Altitude = 30.79 cm (2 d.p.)
Step-by-step explanation:
Heron's Formula allows us to find the area of a triangle in terms its side lengths.
Heron's Formula
[tex]\sf Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
where:
a, b and c are the side lengths of the triangles is half the perimeterGiven values:
a = 35 cmb = 54 cmc = 61 cmFind the value of s:
[tex]\sf \implies s=\dfrac{a+b+c}{2}=\dfrac{35+54+61}{2}=75\:cm[/tex]
Substitute the values into the formula and solve for area:
[tex]\begin{aligned}\implies \sf Area & =\sf \sqrt{75(75-35)(75-54)(75-61)}\\& = \sf \sqrt{75(40)(21)(14)}\\& = \sf \sqrt{882000}\\& = \sf \sqrt{176400 \cdot 5}\\& = \sf \sqrt{176400}\sqrt{5}\\& = \sf 420\sqrt{5}\\& = \sf 939.15\:\:cm^2\:\:(2\:d.p.)\end{aligned}[/tex]
The altitude of a triangle is a perpendicular line segment drawn from a vertex of the triangle to the side opposite to it.
The shortest altitude of a triangle is drawn to the longest side.
Therefore, the shortest altitude will be the height of the triangle when the longest side is the base:
[tex]\begin{aligned}\textsf{Area of a Triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \sf 420\sqrt{5} & = \sf \dfrac{1}{2} \times 61 \times altitude \\\implies \sf Altitude & = \sf \frac{2 \cdot 420\sqrt{5}}{61}\\& = \sf \dfrac{840\sqrt{5}}{61}\\ & = \sf 30.79\:\:cm\:\:(2\:d.p.)\end{aligned}[/tex]
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5 hours an 30 minutes
308 miles
D= s x t
= 56 x 5.5
= 308 miles
30 minutes is half an hour (0.5 or 1/2)
Hope this helps!
Find the slant height of the prism
a.10
b.5
c.7
d.3
Check the picture below.
the ratio of the number of boys and girls in a class is 10:7 if there are 35 girls find the number of boys
Answer:
The solution to the question is in the attached image
please help me find Find AB
Answer:
AB=4
Step-by-step explanation:
[tex]\frac{10+x}{2}[/tex][tex]=7[/tex]
Multiply both sides by 2.
10+x=14
x=14-10
x=4
Mrs. Becker drives past the Route 50 drawbridge light every morning on the way to
work. Eight out of 10 times, the traffic light is red. There are only 25 days of school le
how many of those days should she expect to get stopped at that light?
Answer:
20 days
Step-by-step explanation:
1) [tex]\frac{8}{10}[/tex] must be written as a fraction where the denominator is 25 since there are 25 days of school.
[tex]\frac{8}{10} = \frac{x}{25}[/tex]
2) Cross multiply them.
[tex]10(x) = 25(8)[/tex]
[tex]10x = 200[/tex]
3) Solve for [tex]x[/tex].
[tex]x = \frac{200}{10}[/tex]
[tex]x = 20[/tex]
HELP PLSS I NEED TO TURN IN RIGHT NOW!!!!
Mr. Foster wants to put a new carpet on the floor of his rectangular playroom. The playroom is 27 ft long and 18 ft wide. He has found an inexpensive carpet that is priced $14 per sq yd. What would be a reasonable price for enough carpet to cover the floor of his playroom?
Answer: $756
Step-by-step explanation:
convert feet to yards
1 yard = 3 feet
27 ft = 9 yards
18 ft = 6 yards
carpet represents area
area = length x width
area = 9 x 6
area = 54 yards^2
$14 for 54 yards^2 = 14 x 54
14 x 54 = 756
$756
can someone please help me with this math problem
Answer:
I think the correct answer is A
Answer:
A
Step-by-step explanation:
Plot the points on the coordinate plane in order to find out which one is the correct polygon.
In this case, A has all of the correct points and is therefore the correct answer.
Hope this helps!
Read the power and then check all that apply.
34 = 3 × 3 × 3 × 3
Check
Find the area of the given triangle.
feet
The base (6) of the triangle is
feet
1
1
The height (h) of the triangle is
25 feet
1
1
The area of the triangle is
square feet
115 feet
10 feet
Dono
Will spent three days collecting cans and he managed to collect 2 pounds he collected blank of a pound each day
PLEASE
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
Step-by-step explanation:
m = (-5-0)/(1+4) = -5/5 = -1
b = (0, -4)
y = mx + b
y = -x - 4
BRAINLIEST please if this helps!An observation tower is 65m high. A support wire is attached to the tower 30m from the top. If the support wire and the ground form an angle of 56 degrees, what is the length of the support wire, to the nearest tenth?
The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.
The situation forms a right angle triangle.
Right angle triangleA right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.
The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.
Therefore,
sin 56° = opposite / hypotenuse
sin 56° = 35 / x
The hypotenuse is the length of the support wire.
Therefore,
x = 35 / 0.82903757255
x = 42.2195416164
x = 42.2 m
learn more on right angle here: https://brainly.com/question/9495022
The midpoint of AB is M(6,2). If the coordinates of A are (4,8), what are
the coordinates of B?
★ Given that,
The midpoint of AB is M(6 , 2)The coordinates of A are (4 , 8)★ To calculate,
Coordinates of point B?So here we would be using the formula of calculating the midpoint of two points.
Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ We have :
x1 = 4 y1 = 8★ Putting the values :
Refer to the attachment.★ Therefore,
Coordinates of the point B is (8 , -4)Additional Information :★ Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Let f represent the number of flowers Ash has in all.
Which equation could be used to find the value of f?
5+10−8=f
5 + 10 + 8 = f
5×10−8=f
5 × 10 + 8 = f
Answer:
5 x 10 + 8 = f
Step-by-step explanation:
The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.
In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.
Then he gets 8 more flowers which is why it has +8 in the equation.
The equation to get the total number of flowers is the last one:
f = 5*10 + 8
Which equation could be used to find the value of f?
We know that Ash has 5 bunches of flowers, each one contains 10 flowers, so there we have:
5*10 = 50 flowers.
Then he adds 8 more flowers, then we can write the total number of flowers as:
f = 5*10 + 8.
So the equation that we need to use is the last one.
If you want to learn more about equations:
https://brainly.com/question/2972832
#SPJ2
How do you tell if a table shows y as a function of x?
like if i have a chart that looks like this:
x: 14 15 16 17 18
y: 100 80 110 100 90
Answer:
you have to find the common ratio between the y and the x, like what you have to multiply x by to get y
Step-by-step explanation:
like if your table is
x / y
-2. 6
-1. 3
0. 0
1. -3
2. -6
the ratio would be -3
One group (A) contains 765 people. Three-fifths of the people in group A will be selected to win $50 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 716 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
Answer:
There are 1.07 non winners in group A for every 1 non winner in group B
Or: 1.07:1
Or: 7% more non winners in group A
Step-by-step explanation:
Group A:
765*3/5 = 459 non winners
Group B:
716*3/5 = 429 non winners
Final Calculation:
459/429 = 1.07
HELP GIVING BRAINLIEST + STARS
Motion graphs! Oh yes, I remember those.
I will be using the example of a remote-control car.
For Section AB:
The car starts moving steadily in one direction.
For Section BC:
The car has stopped moving.
And finally, for section CD:
The car has turned around and returned to the starting point at a steady pace.
I hope this answers your question.
-Toremi
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
PLEASE ANSWER! WILL GIVE BRAINLIEST
1. m∠5 = 75° (corresponding angles theorem)
2. 180°
3. m∠3 = 55° (triangle sum theorem).
4. A straight angle = 180°
5. m∠2 = 50° (angles on a straight line)
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.
1. m∠5 = m∠1 = 75° (corresponding angles are congruent)
2. Measure of the sum of all angles in a triangle = 180°
3. To find ∠3, we would have the following equation:
m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).
Substitute and solve
m∠3 = 180 - 50 - 75
m∠3 = 55°
4. A straight angle = 180°
5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)
Substitute and solve
m∠2 = 180 - 55 - 75
m∠2 = 50°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
In the graph z1 and z2 are complex numbers represented as vectors from the origin. What is z2-z1?
Finding the complex numbers and subtracting them, it is found that z2 - z1 = (0, -4).
What are complex numbers?They are in the format:
z = a + bi.
In which:
a is the real part.b is the imginary part.In a graph, the real part is the horizontal axis, while the imaginary part is the vertical axis. Hence, the numbers are given by:
z1 = (2,5).z2 = (2,1).What is the subtraction?To find the result of the subtraction, we subtract each part, hence:
z2 - z1 = (2,1) - (2,5) = (2 - 2, 1 - 5) = (0, -4).
More can be learned about complex numbers at https://brainly.com/question/25572463
QUESTION 3 I [12] A student must answer a multiple-choice question with five possible answers. He knows the correct answer with probability 0.55. If he does not know the correct answer, he randomly guesses one of the possible answers. a) Draw a tree diagram and clearly define all relevant events.
The probability that the student does not know the answer but he randomly guesses it is 0.146025
How to solve for the probability of having a correct guessThe question has only one right answer out of 5 choices.
Probability he answers incorrectly:
1 - 0.55 * 4/5
= 0.45 * 0.8
= 0.36
Probability he does not know answer but answers the question correctly
[tex]\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }[/tex]
= 0.09/0.55+0.09
= 0.140625
Read more on probability here: https://brainly.com/question/24756209
18.) A cylinder and a cone have the same radius and
the same volume. How do the heights compare?
Answer:
If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .
Step-by-step explanation:
Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?
⚫️13 packs per year
⚫️8_1/2 packs per year
⚫️14 packs per year
⚫️12_1/2 packs per year
Good people please help me!!!!
Answer:
a) |sec(θ)|
b) 2cot(2x)
Step-by-step explanation:
Trig identities are used to simplify these expressions. Several are used:
tan(180°-x) = -tan(x)cot(90°-x) = tan(x)1 +tan(x)² = sec(x)²tan(x) = sin(x)/cos(x)sin(2x) = 2sin(x)cos(x)cot(x) = cos(x)/sin(x)__
a.[tex]\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}[/tex]
__
b.[tex]\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}[/tex]
OMG PLEASE HELP ME THIS WHOEVER DOES YOUR THE BEST AND SMARTEST! I WILL TELL EVERYONE GOOOD THINGS ABT U PLEASE HELPME I NEE THESE NOW!! <3333
Step-by-step explanation:
12) a Wasabi
13) 1,000
14) x-6=2(y+4) . pls once again check with this as I find none of the option reasonable do ask ur teacher once but anyway nearest is that one
15) 6
what's the answer to this
PLSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
There are 8 possible spaces that the spinner can land on. Of those, the options are 0, 1, 2, or 3.
There is one space that has 0 in it = 1 / 8 = 0.125
There are two spaces that have 1 in them = 2 / 8 = 0.25
There is one space that has 2 in it = 1 / 8 = 0.125
There are four spaces that have 3 in them = 4 / 8 = 0.5
Hope this helps!
WILL MARK BRANLIEST
A cone has a radius of 10 and a height of 3. What is lateral area of cone. show work please.
Answer:
326.56 sq. units
Step-by-step explanation:
Calculating the slant height
⇒ 10² + 3² = L²⇒ L = √109Formula
LSA = πrLSubbing in the values
LSA = 3.14 x 10 x √109LSA = 31.4 x 10.4LSA = 326.56 sq. units